Download DUET Master 2018 DU MA Economics Question Paper With Answer Key

DU MA Economics

Topic:- DU_J18_MA_ECO

1. Let R be the set of real numbers and f: R ? R be a continuous and concave function. Which of the following statements is correct?

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   [Question ID = 6976]

   1. If f must be concave [Option ID = 27896]
   2. -f must be concave [Option ID = 27895]
   3. f + f must be concave [Option ID = 27898]
   4. f o f must be concave [Option ID = 27897]

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   Correct Answer :-

   f + f must be concave [Option ID = 27898]

2. The maximum value of f(x, y) = (xy)^1/2, subject to x = y and |x| + |y| = 1, is

   [Question ID = 6977]

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   1. 1 [Option ID = 27901]
   2. 1/2 [Option ID = 27902]
   3. 0.25 [Option ID = 27899]
   4. 0.5 [Option ID = 27900]

   Correct Answer :-

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   0.5 [Option ID = 27900]

3. Consider an exchange economy with two agents, 1 and 2, and two goods, X and Y. Each agent's consumption set is R²₊. The endowments of agents 1 and 2 are (10,1) and (0,9) respectively. (In any commodity bundle, the first entry is a quantity of X and the second one is a quantity of Y.)

   If a > c, or a = c and b > d, then Agent 1 strictly prefers bundle (a, b) to (c, d).

   If b > d, or b = d and a > c, then Agent 2 strictly prefers bundle (a, b) to (c, d).

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   Which of the following allocations is a competitive equilibrium allocation?

   [Question ID = 7047]

   1. 1 gets (10, 1) and 2 gets (0,9) [Option ID = 28179]
   2. None of the above [Option ID = 28182]
   3. 1 gets (10, 10) and 2 gets (0,0) [Option ID = 28180]

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   4. 1 gets (5,5) and 2 gets (5,5) [Option ID = 28181]

   Correct Answer :- Full Marks Given to all the candidates

4. Let R be the set of real numbers and let D be the set of functions d: R×R?R that satisfy the following properties for all x, y, z ? R:

   • d(x,y) = 0

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   • d(x, y) = 0 if and only if x = y
   • d(x,y) = d(y, x)
   • d(x,z) = d(x, y) + d(y, z)

   Which of the following is not a function in D?

   [Question ID = 6975]

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   1. d(x,y) = min{|x -y|, 1} [Option ID = 27893]
   2. d(x,y) = { 0, if x = y 1, otherwise [Option ID = 27892]
   3. d(x,y) = { 0, if xy= 1 1, otherwise [Option ID = 27894]
   4. d(x,y) = |x-y| [Option ID = 27891]

   Correct Answer :-

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   d(x,y) = { 0, if |x - y| = 1 1, otherwise [Option ID = 27894]

5. Let f: [0,1] ?R be twice differentiable. Suppose that the line segment joining the points (0, f(0)) and (1, f(1)) intersects the graph of f at a point (a, f(a)), where 0<a<1. Then,

   [Question ID = 6980]

   1. there exists z ? [0,1] such that f'(z) = 0. [Option ID = 27912]

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   2. there exists z ? [0, 1] such that f"(z) = |f(1)-f(0)|. [Option ID = 27914]
   3. there exists z ? [0, 1] such that f"(z) = f(1) - f(0) [Option ID = 27911]
   4. there exists z ? [0, 1] such that f"(z) = 0. [Option ID = 27913]

   Correct Answer :-

   there exists z ? [0, 1] such that f"(z) = 0. [Option ID = 27913]

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6. Consider the matrix

   A =

   This download link is referred from the post: DUET Last 10 Years 2011-2021 Question Papers With Answer Key || Delhi University Entrance Test conducted by the NTA

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