DUET 2019 MA Economics Previous Queston Papers

Delhi University Entrance Test (DUET) 2019 MA Economics Previous Queston Papers

This post was last modified on 19 June 2020

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DUET Last 10 Years 2011-2021 Question Papers With Answer Key || Delhi University Entrance Test conducted by the NTA

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DU MA Economics

Topic:- DU_J19_MA_ECO

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The range of the function f: R? R defined by f(x) = (x²+x+2)/(x²+x+1) is

[Question ID = 2922]
1. (1,8) [Option ID = 11688]
2. [1, 3] [Option ID = 11685]
3. [1,3] [Option ID = 11687]
4. (1,8) [Option ID = 11686]
Correct Answer :- [Option ID = 11685]
Scenario 3 (this scenario appears in multiple questions):

Data from a random sample of 107 home sales in 2003 yielded the regression
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P = 119.2+ 0.485*BD+ 23.4*BA+ 0.156*HS+ 0.002*PS+ 0.090*A- 35.6* PC

(23.9) (2.61) (10.76) (0.011) (0.00048) (0.311) (10.5)

R² = 0.72; SER = 41.5, P is price or value (Rs. 1000), BD is number of bedrooms,

BA is number of baths, HS is house size (sq. ft.), PS is plot size (sq. ft.), A

is age (years), PC is a dummy variable = 1 if the house is in poor condition and
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= 0 otherwise; and the parentheses contain standard errors of the corresponding

coefficients. SER is the standard error of the regression.

Question: If a homeowner adds a new bathroom to her house which increases the house size by 100 sq. ft., what is the expected increase in the value of the house?

[Question ID = 2951]
1. Rs. 37,000 [Option ID = 11801]
2. Rs. 39,450 [Option ID = 11802]
3. Rs. 39,000 [Option ID = 11804]
4. Rs. 37,200 [Option ID = 11803]
Correct Answer :- Rs. 37,000 [Option ID = 11801]

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The maximum value attained by the function f(x) = x³ - x² -X on the set S = {x|x²-x-2 <0} occurs at

[Question ID = 2929]
1. x=2 [Option ID = 11715]
2. x = 5/2 [Option ID = 11716]
3. x=1 [Option ID = 11713]
4. x = 1/3 [Option ID = 11714]
Correct Answer :- x=1 [Option ID = 11713]
A random variable X has a standard normal distribution. What is the closest guess to the probability that X lies in the interval [2, 3]?

[Question ID = 2946]
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1. 0.05 [Option ID = 11784]
2. 0.001 [Option ID = 11781]
3. 0.25 [Option ID = 11783]
4. 0.025 [Option ID = 11782]
Correct Answer :- 0.001 [Option ID = 11781]
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Consider Scenario 1 (this scenario appears in multiple questions):

Consider utility functions

u₁(x, y) = max{x,y}, if y/x > 2
x+y, if y/x ? [1/2,2]
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2y, if y/x < 1/2

and

u₂(x, y) = 2x, if y/x > 2
x+y, if y/x ? [1/2,2]
2y, if y/x < 1/2
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Let px > 0 and py > 0 be the prices of goods x and y respectively. Let w > 0 denote wealth (or income).

Question: For i = 1,2, let hⁱ(px, py, U) denote the set of solutions of the problem: choose x > 0 and y > 0 to minimise p_xx + p_yy subject to u(x,y) = U. Let eⁱ(Px, Py, U) = p_xX+ p_yY, where (X, Y) ? hⁱ(Px, Py, U).

[Question ID = 2907]
1. None of the above hold necessarily. [Option ID = 11628]
2. h₁(Px, Py, U) = h₂(Px, Py, U) [Option ID = 11627]
3. h₁(Px, Py, U) ? h₂(Px, Py, U) [Option ID = 11625]
4. h₁(Px, Py, U) ? h₂(Px, Py, U) [Option ID = 11626]
Correct Answer :- h₁(Px, Py, U) ? h₂(Px, Py, U) [Option ID = 11625]
lim_x?8 (C₁^x+1 - C₁^x)/(1-C₂^x) = -5. So, it must be that (C1, C2) equals
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[Question ID = 2924]
1. (1,3) [Option ID = 11696]
2. (2,-3) [Option ID = 11693]
3. (1,2) [Option ID = 11695]
4. (2,3) [Option ID = 11694]
Correct Answer :- (2,-3) [Option ID = 11693]
The efficiency wage theory argues that

[Question ID = 2937]
1. Firms choose to pay a lower wage than the classical equilibrium wage, thus the real wage is lower than the wage at which the labor market clears. [Option ID = 11747]
2. Firms choose to pay a higher wage than the classical equilibrium wage, thus the real wage is higher than the wage at which the labor market clears. [Option ID = 11745]
3. Firms choose to pay a higher wage than the classical equilibrium wage, thus the real wage is lower than the wage at which the labor market clears. [Option ID = 11746]
4. Firms choose to pay a lower wage than the classical equilibrium wage, thus the real wage is higher than the wage at which the labor market clears. [Option ID = 11748]
Correct Answer :- Firms choose to pay a higher wage than the classical equilibrium wage, thus the real wage is higher than the wage at which the labor market clears. [Option ID = 11745]

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According to the theory of comparative advantage, countries gain from trade because

[Question ID = 2913]
1. All firms can take advantage of cheap labor. [Option ID = 11650]
2. Trade makes firms behave more competitively, reducing their market power. [Option ID = 11649]
3. Output per worker in each firm increases. [Option ID = 11651]
4. World output can rise when each country specializes in what its does relatively best. [Option ID = 11652]
Correct Answer :- Trade makes firms behave more competitively, reducing their market power. [Option ID = 11649]
In the 2-factor, 2-good Heckscher-Ohlin model, the reason for trade is differences in

[Question ID = 2915]
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1. tastes [Option ID = 11660]
2. relative availabilities of factors of production [Option ID = 11659]
3. labour productivities [Option ID = 11658]
4. technologies [Option ID = 11657]
Correct Answer :- technologies [Option ID = 11657]
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The line y = 2x + 5 is tangent to a circle with equation x² + y² + 16x + 12y + c = 0, at point P. So, P equals

[Question ID = 2923]
1. (-6,-7) [Option ID = 11691]
2. (-9,-7) [Option ID = 11689]
3. (-11,-15) [Option ID = 11692]
4. (-10,-12) [Option ID = 11690]
Correct Answer :- (-9,-7) [Option ID = 11689]
The random variable X denotes the number of successes in a sequence of independent trials, each with a probability p of success. Let X denote the mean number of successes. We know that X
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[Question ID = 2949]
1. approximates a Normal distribution with mean p [Option ID = 11795]
2. has a Binomial distribution with mean p [Option ID = 11793]
3. None of the above [Option ID = 11796]
4. has a Normal distribution with mean p [Option ID = 11794]
Correct Answer :- has a Binomial distribution with mean p [Option ID = 11793]
Consider Scenario 2 (this scenario appears in multiple questions):

Trader 1 is endowed with 100 identical Left shoes. Trader 2 is endowed with 99 identical Right shoes. Each trader's utility from her allocation of shoes is equal to the number of complete pairs of shoes in the allocation. Traders 1 and 2 trade shoes in competitive markets and arrive at a competitive equilibrium. Assume that shoes are infinitely divisible.

Question: Given their endowments, an efficient allocation
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[Question ID = 2910]
1. must give trader 1 at least 99 Left shoes [Option ID = 11639]
2. must give trader 1 at least 50 Right shoes [Option ID = 11638]
3. none of the above [Option ID = 11640]
4. must give trader 1 at least 50 Left shoes [Option ID = 11637]
Correct Answer :- must give trader 1 at least 50 Left shoes [Option ID = 11637]
A family has two children and it is known that at least one is a girl. What is the probability that both are girls given that at least one is a girl?

[Question ID = 2943]
1. 1/2 [Option ID = 11769]
2. 2/3 [Option ID = 11772]
3. 1/3 [Option ID = 11770]
4. 3/4 [Option ID = 11771]
Correct Answer :- 1/2 [Option ID = 11769]

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It is known that there is a rational number between any two distinct irrational numbers. Consider a continuous function f: R?R such that f(x) = sinx for every rational number z. If x is an irrational number, then

[Question ID = 2918]
1. f(x) = sinx [Option ID = 11672]
2. f(x) = (sinx)/2+ (cosx)/2 [Option ID = 11670]
3. f(x) = sin(x/2) + cos(x/2) [Option ID = 11669]
4. f(x) = cos x [Option ID = 11671]
Correct Answer :- f(x) = sin(x/2) + cos(x/2) [Option ID = 11669]
Consider Scenario 2 (this scenario appears in multiple questions):

Trader 1 is endowed with 100 identical Left shoes. Trader 2 is endowed with 99 identical Right shoes. Each trader's utility from her allocation of shoes is equal to the number of complete pairs of shoes in the allocation. Traders 1 and 2 trade shoes in competitive markets and arrive at a competitive equilibrium. Assume that shoes are infinitely divisible.
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Question: An equilibrium allocation of shoes gives trader 2

[Question ID = 2909]
1. at most 50 Right shoes [Option ID = 11636]
2. at least 99 Left shoes [Option ID = 11634]
3. at most 50 Left shoes [Option ID = 11633]
4. at most 99 Left shoes [Option ID = 11635]
Correct Answer :- at most 50 Left shoes [Option ID = 11633]
Assume that the aggregate production of an economy is Y_t = vK_tL_t, where K_t+1 = (1-d) K_t + I_t, S_t = sY_t and L_t = L (i.e., the notation and meanings correspond to the setting for the Solow Model with constant population). Then, the savings rate s that maximizes the steady state rate of consumption equals

[Question ID = 2932]
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1. 1/2 [Option ID = 11726]
2. d/(1 + d) [Option ID = 11725]
3. None of the above. [Option ID = 11728]
4. 1/(1 + d) [Option ID = 11727]
Correct Answer :- d/(1 + d) [Option ID = 11725]
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Consider a function f: R² ? R. Suppose, for every p? R², there exists x(p) ? R² such that f(x(p)) = 1 and p.x(p) = p.y for every y? R² such that f(y) = 1. Define g: R² ? R by g(p) = p.x(p). Then, g is

[Question ID = 2920]
1. linear [Option ID = 11677]
2. quasi-convex [Option ID = 11679]
3. convex [Option ID = 11678]
4. concave [Option ID = 11680]
Correct Answer :- linear [Option ID = 11677]
Given nonempty subsets of R², say Y₁,..., Y_n, let Y^* = {?_j=1ⁿY_j | Y₁ ? Y₁,..., Y_n ? Y_n}. Given p? R² and a nonempty set Y ? R², let V(p, Y) = sup{p.y | y ? Y}. Then, for every p,
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[Question ID = 2921]
1. v(?, Y^*) = ?_j=1ⁿ v(p, Y_j) [Option ID = 11684]
2. v(?, Y^*) = ?_j=1ⁿ v(p, Y_j) [Option ID = 11682]
3. v(?, Y^*) = ?_j=1ⁿ v(p, Y_j) [Option ID = 11683]
4. v(?, Y^*) < ?_j=1ⁿ v(p, Y_j) or v(p, Y^*) = ?_j=1ⁿ (p, Y_j) [Option ID = 11681]
Correct Answer :- v(?, Y^*) < ?_j=1ⁿ v(p, Y_j) or v(p, Y^*) = ?_j=1ⁿ (p, Y_j) [Option ID = 11681]
In a simple open economy framework, an increase in government spending leads to

[Question ID = 2939]
1. A rise in budget deficit and a fall in current account deficit [Option ID = 11753]
2. A fall in both budget and current account deficits [Option ID = 11756]
3. A fall in budget deficit and a rise in current account deficit [Option ID = 11754]
4. A rise in both budget and current account deficits [Option ID = 11755]
Correct Answer :- A rise in budget deficit and a fall in current account deficit [Option ID = 11753]

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The matrix Q = PAP^T, where P^T is the transpose of the matrix P, and

P= $(\begin{array}{l} \frac{\sqrt{3}}{2} & \frac{1}{2} \\ - \frac{1}{2} & \frac{\sqrt{3}}{2} \end{array})$ A = $(\begin{array}{l} 1 & 2 \\ 0 & 1 \end{array})$

Then, P^TQ₁₂P equals

[Question ID = 2925]
1. $(\begin{array}{l} 1 & 0 \\ 4 & 1 \end{array})$ [Option ID = 11699]
2. $(\begin{array}{l} 1 & 4 \\ 1 & 1 \end{array})$ [Option ID = 11698]
3. (2+v2-v3) [Option ID = 11700]
4. $(\begin{array}{l} 1 & 2 \\ 0 & 1 \end{array})$ [Option ID = 11697]
Correct Answer :- $(\begin{array}{l} 1 & 2 \\ 0 & 1 \end{array})$ [Option ID = 11697]

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Nitin is a stamp collector and consumes only stamps and cheese sandwiches. His utility function is u(s, c) = s + logc. If Nitin is at a point where he is consuming both goods, then the total amount that he is spending on cheese sandwiches depends

[Question ID = 2912]
1. on all three of the above [Option ID = 11648]
2. only on the price of stamps [Option ID = 11646]
3. only on the price of sandwiches [Option ID = 11645]
4. only on his income [Option ID = 11647]
Correct Answer :- only on the price of sandwiches [Option ID = 11645]
A consumer lives for two periods 1 and 2. The lifetime utility function is U = u(c₁)+u(c₂). The consumer earns w₁ and w₂ in the two periods, and her consumption C₁ and c₂ satisfies a lifetime budget constraint c₁ +c₂/(1+r) = w₁ +w₂/(1+r). Assume that u(c_t) = c_t^1-s/(1-s) t = 1,2. Then, if r= p, it follows that

[Question ID = 2933]
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1. None of the above is necessarily true. [Option ID = 11732]
2. C₁ = C₂ [Option ID = 11730]
3. C₁ = C₂ [Option ID = 11729]
4. C₁ = C₂ [Option ID = 11731]
Correct Answer :- C₁ = C₂ [Option ID = 11729]
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Consider the following set of 2 equations:

(2x)ln2 = (3y)ln3

3lnx = 2lny

Suppose a pair (x, y) of numbers is a solution to this set of equations. Then x equals
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[Question ID = 2930]
1. 1/3 [Option ID = 11719]
2. 1/6 [Option ID = 11720]
3. 1/2 [Option ID = 11718]
4. 1/4 [Option ID = 11717]
Correct Answer :- 1/4 [Option ID = 11717]
The price-setting relation determines the real wage paid by firms depending on the level of technology (A) and mark-up m, and is represented by W/P = A/(1+m). Under the wage-setting relation, the real wage is determined by the level of productivity (A) and the unemployment u. This is represented by W/P = A(1-u). The effect of an increase in the level of technology on the unemployment is:

[Question ID = 2934]
1. Ambiguous [Option ID = 11736]
2. Zero [Option ID = 11735]
3. Positive [Option ID = 11733]
4. Negative [Option ID = 11734]
Correct Answer :- Positive [Option ID = 11733]

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Your budget is such that if you spend your entire income, you can afford either 4 units of good 2 and 6 units of good y or 12 units of good 2 and 2 units of y. What is the ratio of the price of a to the price of y?

[Question ID = 2911]
1. 1/3 [Option ID = 11643]
2. 2/3 [Option ID = 11644]
3. 1/2 [Option ID = 11641]
4. 2 [Option ID = 11642]
Correct Answer :- 1/2 [Option ID = 11641]
Let A = $(\begin{array}{l} 1 & 3 \\ 1 & 1 \end{array})$

Then A⁴-4A³ + 2A² + A equals
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[Question ID = 2927]
1. I (the 2 x 2 identity matrix). [Option ID = 11705]
2. I+A [Option ID = 11707]
3. A [Option ID = 11708]
4. A^-1 [Option ID = 11706]
Correct Answer :- I (the 2 x 2 identity matrix). [Option ID = 11705]
Scenario 3 (this scenario appears in multiple questions):

Data from a random sample of 107 home sales in 2003 yielded the regression

P = 119.2+ 0.485*BD+ 23.4*BA+ 0.156*HS+ 0.002*PS+ 0.090*A- 35.6* PC
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(23.9) (2.61) (10.76) (0.011) (0.00048) (0.311) (10.5)

R² = 0.72; SER = 41.5, P is price or value (Rs. 1000), BD is number of bedrooms,

BA is number of baths, HS is house size (sq. ft.), PS is plot size (sq. ft.), A

is age (years), PC is a dummy variable = 1 if the house is in poor condition and

= 0 otherwise; and the parentheses contain standard errors of the corresponding
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coefficients. SER is the standard error of the regression.

Question: Are the coefficients of BA and PC individually statistically significant at the 5% level?

[Question ID = 2954]
1. Both coefficients are significant. [Option ID = 11815]
2. The coefficient of BA is significant, but that of PC is not [Option ID = 11813]
3. Neither coefficient is significant. [Option ID = 11816]
4. The coefficient of PC is significant, but that of BA is not [Option ID = 11814]
Correct Answer :- The coefficient of BA is significant, but that of PC is not [Option ID = 11813]
Consider a small open economy. If there is a positive productivity shock in the country, how will the domestic capital market be affected?
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[Question ID = 2938]
1. There will be net capital inflow. [Option ID = 11749]
2. Net capital inflow is zero. [Option ID = 11751]
3. The investment demand will fall. [Option ID = 11752]
4. There will be net capital outflow. [Option ID = 11750]
Correct Answer :- There will be net capital inflow. [Option ID = 11749]
Functions f, g from R to R are defined as

$f (x) = \{\begin{cases} 0, if x is rational \\ x, if x is irrational \end{cases}$

$g (x) = \{\begin{cases} 0, if x is irrational \\ x, if x is rational \end{cases}$
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Then the function (f-g)(x) is

[Question ID = 2917]
1. surjective but not injective. [Option ID = 11666]
2. injective but not surjective. [Option ID = 11665]
3. bijective. [Option ID = 11668]
4. neither injective nor surjective. [Option ID = 11667]
Correct Answer :- injective but not surjective. [Option ID = 11665]
Let ||.||_n and ||.||_m be norms on Rⁿ and R^m respectively. Let L be the space of linear transformations from Rⁿ to R^m. Then,

[Question ID = 2919]
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1. Neither ||.||^*, nor ||.||^**, is a norm on L [Option ID = 11676]
2. ||.||^* and ||.||^** are norms on L [Option ID = 11675]
3. ||L||^* = sup{||L(x)||_m | x ? Rⁿ } defines a norm on L [Option ID = 11673]
4. ||L||^** = sup{||L(x)||_m | x ? Rⁿ and ||x||_n= 1} defines a norm on L [Option ID = 11674]
Correct Answer :- ||L||^* = sup{||L(x)||_m | x ? Rⁿ } defines a norm on L [Option ID = 11673]
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Consider Scenario 2 (this scenario appears in multiple questions):

Trader 1 is endowed with 100 identical Left shoes. Trader 2 is endowed with 99 identical Right shoes. Each trader's utility from her allocation of shoes is equal to the number of complete pairs of shoes in the allocation. Traders 1 and 2 trade shoes in competitive markets and arrive at a competitive equilibrium. Assume that shoes are infinitely divisible.

Question: The equilibrium price of Left shoes divided by the equilibrium price of Right shoes is

[Question ID = 2908]
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1. slightly less than 1 [Option ID = 11630]
2. slightly more than 1 [Option ID = 11631]
3. 1 [Option ID = 11629]
4. 0 [Option ID = 11632]
Correct Answer :- 1 [Option ID = 11629]
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Scenario 3 (this scenario appears in multiple questions):

Data from a random sample of 107 home sales in 2003 yielded the regression

P = 119.2+ 0.485*BD+ 23.4*BA+ 0.156*HS+ 0.002*PS+ 0.090*A- 35.6*PC

(23.9) (2.61) (10.76) (0.011) (0.00048) (0.311) (10.5)
--- Content provided by FirstRanker.com ---

R² = 0.72; SER = 41.5, P is price or value (Rs. 1000), BD is number of bedrooms,

BA is number of baths, HS is house size (sq. ft.), PS is plot size (sq. ft.), A

is age (years), PC is a dummy variable = 1 if the house is in poor condition and

= 0 otherwise; and the parentheses contain standard errors of the corresponding

coefficients. SER is the standard error of the regression.
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Question: What is the loss in value if a homeowner allows his house to get into 'poor condition'?

[Question ID = 2952]
1. Rs. 34,300 [Option ID = 11805]
2. Rs. 35,600 [Option ID = 11807]
3. Rs. 36,000 [Option ID = 11806]
4. Rs. 35,100 [Option ID = 11808]
Correct Answer :- Rs. 34,300 [Option ID = 11805]
Suppose that the mark-up over cost is 20% for a representative firm in an economy with labour being the single factor; and the wage-setting equation is: W = P(1-u) (where, u = the unemployment rate, P = Price and W = wage rate). Then the natural rate of unemployment is:

[Question ID = 2931]
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1. 10% [Option ID = 11724]
2. 20% [Option ID = 11721]
3. 13% [Option ID = 11723]
4. 17% [Option ID = 11722]
Correct Answer :- 20% [Option ID = 11721]
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You have a single draw from a Bernoulli distribution. The maximum likelihood estimate of the probability of success p is

[Question ID = 2947]
1. 0 [Option ID = 11785]
2. 2 strictly between 0 and 1 [Option ID = 11788]
3. 1 [Option ID = 11786]
4. either 0 or 1 [Option ID = 11787]
Correct Answer :- 0 [Option ID = 11785]
Scenario 3 (this scenario appears in multiple questions):
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Data from a random sample of 107 home sales in 2003 yielded the regression

P = 119.2+ 0.485*BD+ 23.4*BA+ 0.156*HS+ 0.002* PS+ 0.090*A- 35.6*PC

(23.9) (2.61) (10.76) (0.011) (0.00048) (0.311) (10.5)

R² = 0.72; SER = 41.5, P is price or value (Rs. 1000), BD is number of bedrooms,

BA is number of baths, HS is house size (sq. ft.), PS is plot size
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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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This post was last modified on 19 June 2020

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