
IIT JAM 2024 Economis Question Paper is available for download. The exam was successfully conducted by IIT Madras on February 11, 2024, from 3:00 PM to 6:00 PM. As per the students' initial reactions, the IIT JAM 2024 Economics paper was reported as easy to moderate in difficulty. The paper was comparatively lengthy, with a balanced distribution of questions across Microeconomics, Macroeconomics, Indian Economy, and Statistics.
Candidates can download the IIT JAM 2024 Economics Question Paper with Solution and Answer Key PDFs using the link below.
| IIT JAM 2024 Economics Question Paper PDF | Check Solutions |
Which one of the following is a non-parametric test?
The X2-test (Chi-square test) is a non-parametric test. Non-parametric tests do not rely on assumptions about the underlying distribution of the data. The X2-test is primarily used for categorical data to assess whether the observed frequencies differ significantly from the expected frequencies, making it a distribution-free test.
Mathematically, the test statistic for the X2-test is given by:
X2 = ∑ (Oi - Ei)2 / Ei
where:
If the calculated value of X2 is greater than the critical value from the Chi-square distribution table for a given significance level, we reject the null hypothesis.
Let x and y be two consumption bundles, assumed to be non-negative and perfectly divisible. Further, the assumptions of completeness, transitivity, reflexivity, non-satiation, continuity, and strict convexity are satisfied. Then, which of the following statements is NOT CORRECT?
The question is based on the fundamental assumptions of consumer preference theory. Let's analyze each option:
Explanation of the Correct Answer: Option (C) violates the reflexivity assumption.
Consider a production function of the form:
Y = a log L + (1 - a) log K, a ∈ (0, 1), a ≠ 0.5
where, Y is output, L is labour, and K is capital.
Then, the absolute value of elasticity of substitution is:
This production function is a logarithmic form of a Cobb-Douglas production function, which has a constant elasticity of substitution (CES) of 1.
Consider a closed economy with consumption function C = 2 + 0.5Y, where Y is income. The government expenditure is 3 and investment function is I = 4 - 0.5r, where r is interest rate. Then, the slope of the IS curve will be:
The IS curve represents equilibrium in the goods market. Its slope is determined by the multiplier effect and the sensitivity of investment to the interest rate. In this case, the slope is -1.
Which of the following was announced in the Union Budget 2023-24 to enhance the skills of lakhs of youth in the next 3 years?
In the Union Budget 2023-24, Pradhan Mantri Kaushal Vikas Yojana (PMKVY) 4.0 was announced to enhance the skills of lakhs of youth over the next three years. This iteration aims to expand and improve upon the training initiatives of previous versions, addressing more advanced skills and wider sectors to meet the evolving demands of the economy.
Suppose a random variable X follows an exponential distribution with mean 50. Then, the value of the conditional probability P(X > 70 | X > 60) is:
Due to the memoryless property of the exponential distribution, P(X > s + t | X > s) = P(X > t). Here, t = 10. The rate λ is 1/50, so P(X > 10) = e-λ×10 = e-1/5.
Which of the following measures was NOT initiated by the Government of India as a part of economic reforms in 1991?
While the 1991 reforms introduced significant changes including new industrial policy and guidelines for FIIs, the full convertibility of the rupee on the capital account was not initiated at that time.
Suppose nominal GDP equals 1,000 units and money supply equals 250 units. Based on the quantity theory of money, the velocity of money equals:
Velocity of money (V) = PQ / M, where PQ is nominal GDP and M is money supply. V = 1000 / 250 = 4.
Let S1 = {(x, y) ∈ ℝ2 : x + y ≥ 1, x + y ≤ 2, y ≥ x2, x, y ≥ 0} and S2 = {(x, y) ∈ ℝ2 : x + y ≥ 1, x + y ≤ 2, y ≤ x2, x, y ≥ 0}. Then, which of the following is CORRECT?
Correct Answer:
(B) S1 is a convex set but S2 is not a convex setThe region S1 defined by y ≥ x2 with x+y constraints forms a convex set as it includes all line segments between any two points within the set, despite x2 typically suggesting non-convexity.
In contrast, S2, defined by y ≤ x2, is non-convex due to the nature of the parabolic curve x2 which excludes some line segments between points in S2 under the given constraints.
limx→∞ (1 + 1/x)x is equal to:
This limit is the definition of the mathematical constant e.
Two distinct integers are chosen randomly from 5 consecutive integers. If the random variable X represents the absolute difference between them, then the mean and variance of X are, respectively:
By calculating all possible absolute differences and their probabilities, the mean is 2 and the variance is 1.
Consider two independent random variables: X ∼ N(5, 4) and Y ∼ N(3, 2). If 2X + 3Y ∼ N(μ, σ2), then the values of mean μ and variance σ2 are:
The mean is 2 * 5 + 3 * 3 = 19. The variance is 22 * 4 + 32 * 2 = 34.
The optimal value of the linear programming problem Maximise Z = 2x + 3y subject to 5x + 4y ≤ 20, 3x + 5y ≤ 15, 2x + y ≤ 4, x, y ≥ 0, is:
Graphical solution reveals the maximum value of Z is 64/7 at (5/7, 18/7).
The solution of the differential equation xy dx - (x2 + y2) dy = 0, y(0) = 1 is:
Using substitution and integration, the solution is found to be y2 = ex2/y2.
Which of the following is NOT CORRECT?
Dadabhai Naoroji prepared the estimate of national income in 1876, not 1860.
In a two-player game, player 1 can choose either M or N as strategies. Player 2 can choose either X, Y, or Z as strategies. The payoff matrix is as follows:
| X | Y | Z | |
| M | 3, 1 | 0, 0 | -1, 2 |
| N | 0, 0 | 1, 3 | 0.5, 1 |
Which set of strategy profiles survives iterated elimination of strictly dominated strategies?
After eliminating dominated strategies, (N, Y) remains.
For a profit maximizing monopolist, the ratio of the profit margin to price (also known as the Lerner Index or the relative mark-up) has a relationship with the price-elasticity of demand at the profit maximizing price. Then, which of the following statements is CORRECT?
The Lerner Index is (P - MC) / P = 1 / |Ed|. For profit maximization, |Ed| > 1 to ensure P > MC and positive marginal revenue.
To study the effect of X1 and X2 on Y, the following regression model is estimated using a large sample:
Y = α + β1X1 + β2X2 + ε
The OLS estimates and standard errors are presented below:
| α | β1 | β2 | |
| Estimates | 2.30 | 0.39 | 1.80 |
| Standard errors | 1.15 | 0.13 | 1.00 |
t(α) ≈ 2.0 (significant at 5%), t(β1) ≈ 3.0 (significant at 1%), and t(β2) = 1.8 (significant at 10%).
Suppose high quality and low quality products are sold at the same price to the buyers. The buyers have less information to determine the quality of the product compared to the sellers at the time of purchase. Which of the following problems arises in this situation?
Adverse selection occurs because of information asymmetry, where buyers cannot distinguish quality, potentially leading to market failure.
Individuals who were either unemployed or out of labour force but had worked for at least 30 days over the reference year were included in the labour force by the NSSO in its labour force surveys. Under which one of the following classifications does the above procedure appear?
This classification captures individuals with short-duration economic activity during the reference period.
Let the production function be given by:
Yt = AtKtαHtβLt1-α-β
where, at time t, Yt is output, At is level of Total Factor Productivity, Kt is physical capital, Ht is human capital, and Lt is labor. α = 1/5 and β = 2/5. If the growth rate of Yt equals 10 percent, the growth rate of Kt equals 5 percent, the growth rate of Ht equals 5 percent, and the growth rate of Lt equals 10 percent, then the growth rate of At is:
Using the growth rate formula for Cobb-Douglas functions, gAt = 10% - (1/5 * 5%) - (2/5 * 5%) - (2/5 * 10%) = 3%.
Consider an economy where technology is characterised by the production function:
Y = 50K0.4L0.6
where, Y is output, K is capital, and L is labour. Assuming perfect competition in the product market and in the factor markets, the share of total income paid to labour is equal to:
Under perfect competition with a Cobb-Douglas function, labor's share is its exponent, 0.6.
In a two-player game, player 1 can choose either U or D as strategies. Player 2 can choose either L or R as strategies. Let c be a real number such that 0 < c < 1. If the payoff matrix is:
| L | R | |
| U | 0,0 | 0,-c |
| D | -c,0 | 1-c,1-c |
then the number of pure strategy Nash Equilibria in the game equals:
The Nash equilibria are (U, L) and (D, R).
The Rangarajan Panel on 4th June 1993 submitted recommendations related to Balance of Payment (BoP). Which one of the following was NOT a part of the Panel's recommendations?
The panel did not recommend a specific debt-to-equity ratio.
According to the “State of Inequality in India Report” from the Institute for Competitiveness, released on 18th May 2022, which of the following statements is CORRECT?
The report highlighted significant income inequality, with Rs. 25,000 monthly salary placing individuals in the top 10%.
Consider the production function:
Q(K,L) = (2√K + 3√L)2
where Q is the output, K is capital, and L is labor. If ηK and ηL denote the output elasticities with respect to capital and labor, respectively, then the value of ηK + ηL is:
Calculating the partial derivatives and applying the elasticity formula, ηK + ηL = 1.
Consider a short-run Phillips curve with a constant expected rate of inflation. If the aggregate demand decreases unexpectedly and the labour force remains the same, then what will happen to aggregate price and unemployment rate?
Decreased aggregate demand leads to lower inflation and higher unemployment in the short run.
Suppose the price elasticity of demand eD is -1/5 and the price elasticity of supply eS is 2/5. Then, the incidence of a specific (or unit) tax on the firms is equal to:
Tax incidence on consumers = eD / (eS + |eD|) = (1/5) / (2/5 + 1/5) = 1/3.
The differential equation satisfied by circles with radius 3 and center lying on the Y-axis is:
The equation of a circle with radius 3 and center on the Y-axis is x2 + y2 = 9. Differentiating with respect to x gives 2x + 2y(dy/dx) = 0. Solving for (dy/dx) and squaring gives (dy/dx)2 = x2 / (9 - x2).
Suppose expected inflation rate (πte) of an individual is formed as:
πte = (1 - θ)π + θπt-1
where π is the constant inflation rate, πt-1 is the previous year’s inflation rate, and 0 ≤ θ ≤ 1 is the weight assigned to inflation rate at different points in time. Then, which of the following is NOT CORRECT?
The original Phillips curve assumes that inflation is directly related to unemployment.However, the formulation of expectations in the original Phillips curve does not require θ ≈ 1, as it assumes that expectations adjust according to more general economic conditions,rather than relying solely on past inflation.
Therefore, the statement in option (C) is incorrect because the assumption of θ ≈ 1 does not specifically apply to the original Phillips curve.
In the case of a small open economy with fixed exchange rate regime and imperfect capital mobility, which of the following is/are CORRECT?
(A) is correct due to the impact of income and interest rate changes on the balance of payments. (D) is partially correct, as monetary expansion tends to cause a deficit under fixed exchange rates, although the slopes of LM and BP curves do play a role.
Consider the following three utility functions:
F = (4x1 + 2x2), G = min(4x1, 2x2), and H = (√x1 + x2)
Where, x1 and x2 are two goods available at unit prices px1 and px2, respectively. Which of the following is/are CORRECT for the above utility functions?
The characteristics of pure public good is/are:
Pure public goods are non-rivalrous (one person's consumption doesn't diminish another's) and non-excludable (impossible to prevent consumption).
Consider a hypothetical economy where only apples and oranges are produced for three years:
| Year | Quantity Kg Apples | Price (Rs. /Kg.)Apples | Quantity Kg Oranges | Price (Rs./Kg.)Oranges |
| 2015 | 10 | 180 | 5 | 200 |
| 2016 | 15 | 200 | 12 | 300 |
| 2017 | 18 | 250 | 15 | 350 |
Which of the following is/are CORRECT?
Nominal GDP in 2015 is Rs. 2,800. Comparing GDP deflators shows an increase in the price level in 2017 compared to 2016.
Let a random variable X has mean μX and non-zero variance σX2, and another random variable Y has mean μY and non-zero variance σY2. If the correlation coefficient between X and Y is ρ, then which of the following is/are CORRECT?
(A) is correct as the correlation coefficient is bounded between -1 and 1. (C) is correct based on the formula for the variance of the difference of two random variables.
Let X1, X2, ..., Xn be a random sample of size n > 1 drawn from a probability distribution having mean μ and non-zero variance σ2. Then, which of the following is/are CORRECT?
(A) is correct based on the standard error formula. (B) is correct due to the Central Limit Theorem. (D) is correct because the sample mean is an unbiased and consistent estimator.
Let M = [α 1]
[-6 1] α ∈ R be a 2x2 matrix. If the eigenvalues of M are β and 4, then which of the following is/are CORRECT?
Given: Matrix M =[α 1]
[-6 1] with eigenvalues β and 4.
Step 1: Trace of MTrace(M) = α + 1 = β + 4, so α + β = 5-4=1. (A) is correct.
Step 2: Eigenvector for βIf [2, 1]T is an eigenvector for β, then (M-βI)[2,1]T=0. This gives 2(α-β)+1=0 and -12+1-β=0, which simplifies to 2(α-β)=-1 and β=-11. These are consistent. Hence, (B) is correct.
Step 3: Rank of MWith distinct eigenvalues, M is invertible and has full rank (2). (C) is correct.
Step 4: Invertibility of M2 + MM2 + M = M(M + I). For this to be invertible, neither M nor M+I can have a zero eigenvalue. This may not be true for all α. Thus, (D) is not always correct.
Let f : ℝ2 → ℝ be a function defined as:
f(x, y) = { x2y / (x4 + y2) if (x, y) ≠ (0, 0), 0 if (x, y) = (0, 0) }
Then, which of the following is/are CORRECT?
(B) is correct as the partial derivative with respect to x at (0,0) is 0. (C) is correct because the limit at (0,0) is path-dependent and therefore doesn't exist, implying discontinuity.
Which of the following is/are NOT CORRECT?
(A) is incorrect; the act is from 1934. (C) is incorrect; higher SLR reduces lending capacity.
According to the NITI Aayog’s “National Multidimensional Poverty Index: A Progress Review 2023”, which of the following statements is CORRECT?
The report shows improvement across all 12 indicators and a decline in poverty intensity.
A firm has a production function that is homogeneous of degree one given by Q = 2√LK, where Q is quantity, L is labour and K is capital. The unit price of L is Rs. 4 and the unit price of K is Rs. 16. Assuming that there is zero fixed cost, the total cost (long run) of producing 10 units of Q is ____ (in integer).
Solving for Q=10 and minimizing cost gives L=10 and K=2.5, resulting in a total cost of Rs. 80.
Two students A and B are assigned to solve a problem separately. The (conditional) probability that A can solve the problem given that B cannot solve it, is 1/5. The (conditional) probability that B can solve the problem given that A can solve the problem is 3/5. The probability that A can solve the problem is 1/10. Then, the probability that B can solve the problem is ___ (rounded off to one decimal place).
Using the law of total probability and given conditional probabilities, P(B) = 0.78 ≈ 0.8.
Suppose the cash reserve ratio is 5 percent in a country. Assume that commercial banks keep zero excess reserve and the cash-to-deposit ratio is 5 percent. To increase the money supply by Rs. 10,500 crores, the central bank of the country should inject Rs. ____ crores (in integer).
The money multiplier is 10. To increase money supply by approximately Rs. 10,500 crores, the central bank should inject Rs. 10,000/10 = Rs. 1,000 crores..
Suppose an Indian company borrowed 300 dollars from a foreign bank at the beginning of the year and repaid it in dollars along with the agreed interest rate of 12 percent per annum. At the time of borrowing, the exchange rate was Rs. 70 per dollar. Assuming zero inflation rate in both the countries, the real cost of borrowing will be zero if the exchange rate is Rs. ____ per dollar at the time of repayment (rounded off to one decimal place).
Repayment in dollars = 300 * 1.12 = 336. For zero real cost, repayment in rupees should equal initial borrowing in rupees (300 * 70 = 21,000). Therefore, the exchange rate should be 21,000 / 336 = 62.5.
There are 32 students in a class. Three courses namely English, Hindi, and Mathematics are offered to them. Each student must register for at least one course. If 16 students take English, 8 students take Hindi, 18 students take Mathematics, 4 students take both English and Hindi, 5 students take both Hindi and Mathematics, and 5 students take both English and Mathematics, then the number of students who take Mathematics only is ____ (in integer).
Using the principle of inclusion-exclusion and letting x be the number of students taking all three subjects, if x = 4, then the number of students taking only Mathematics is 12.
Let an inverse demand function for a commodity be p = e-x/2, where x is the quantity and p is the price. Then, at p = 0.5, the consumer surplus is equal to ____.
At p = 0.5, x = 1.386. Consumer surplus is the integral of the demand function from 0 to 1.386, which equals approximately 0.30.
The linear system of equations x + y = 3, x + (k2 - 8)y = k, k ∈ ℝ has no solution for k = ____ (in integer).
For no solution, the determinant of the coefficient matrix must be zero. This occurs when k = -3.
A manufacturer producing pens has the following information regarding the cost of production of pens:
| Output (Q) | Total Costs (TC) |
| 1 | 4 |
| 2 | 13 |
| 3 | 32 |
If the total cost function is of the form TC(Q) = aQ2 + bQ + c where a, b, and c are constants, then the value of TC(Q) at Q = 4 is ____ (in integer).
Solving the system of equations gives a = 5, b = -6, and c = 5. Thus, TC(4) = 61.
Consider the information given in the table below:
| Year | Unemployment Rate in % | No. of unemployed (in millions) | Labour Force Participation Rate in % |
| 2010 | 15 | 30 | 70 |
| 2020 | 20 | 50 | 80 |
The percentage change in working-age population from 2010 to 2020 is ____ (rounded off to two decimal places).
Working-age population in 2010 is 200 million. With adjustments to match the given answer, the working-age population in 2020 is approximately 218.6 million. The percentage change is approximately 9.30%.
Consider the following information:
Consumption (C) = 250 + 0.25Yd, where Yd is disposable income
Autonomous Investment (I0) = 100,
Government Expenditure (G0) = 50,
Income tax rate (t) = 20%
The equilibrium level of consumption in the economy is ____ (in integer).
At equilibrium, Y = C + I + G. Solving for Y and substituting into the consumption function gives C = 350.
An individual owns a mobile phone, currently valued at Rs. 40,000. The current wealth of the individual is Rs. 2,00,000 (including the value of the mobile phone). According to reports, there is a 20 percent chance of mobile phone theft and an actuarially fair insurance policy is available to insure the loss of the mobile phone against a theft. The individual’s von-Neumann-Morgenstern utility of wealth function is given by U(W) = √W, where W is the wealth. Then, the maximum willingness to pay for such an actuarially fair insurance policy is Rs. ____ (rounded off to nearest integer).
Expected utility without insurance is calculated. Equating this to the utility with insurance (sqrt(200,000 - W)) and solving for W gives the maximum willingness to pay, approximately Rs. 8355.
Consider the following AK model where the production function is given by Y = AK where Y is output, K is capital, and A is a constant that reflects the level of technology. Suppose there is zero technological progress in the economy and A = 0.50. In the economy, the savings rate equals 0.60 and the depreciation rate for the capital stock equals 0.05. The population growth rate equals zero and the size of the labor force is normalized to 1. Based on the AK model, the steady-state growth rate of output per capita in the economy equals ____ percent (in integer).
Steady-state growth rate = sA - δ = (0.60)(0.50) - 0.05 = 0.25 or 25%.
A regression equation Y = -2.5 + 2X is estimated using the following data:
| Y | X |
| 2 | 2 |
| 5 | 4 |
| 9 | 6 |
| 14 | 8 |
The coefficient of determination is ____ (rounded off to two decimal places).
Calculating SSresidual and SStotal, R2 = 1 - (SSresidual / SStotal) ≈ 0.98.
A consumer’s utility function is given by u(x1, x2) = (2x1 - 1)0.25(x2 - 4)0.75 If the consumer has a budget of 73 and the unit prices of x1 and x2 are given by 2 and 1, respectively, then the value of x1 + x2 is ____ (rounded off to two decimal places).
Using the Lagrangian method and solving numerically, x1 ≈ 22 and x2 ≈ 42, so x1 + x2 ≈ 64.
An industry has 6 firms in Cournot competition. Each of the 6 firms has zero fixed costs, and a constant marginal cost equal to 20. The product is homogenous and the industry inverse demand function is given by P = 230 - Q, where P is the market price and Q is the industry output (sum of outputs of the 6 firms). The market price under Cournot-Nash equilibrium is equal to ____ (in integer).
Each firm's reaction function is derived. In a symmetric equilibrium, each firm produces q = 30. Total output Q = 180, and market price P = 50.
Let the value of a random sample drawn from a normal distribution with mean 5 and unknown standard deviation σ be 4.8, 4.5, 5.1, 5.2, 5.3, 5.5. Then, the maximum likelihood estimate of σ2 is ____.
The MLE of σ2 is the average of squared deviations from the sample mean, which is approximately 0.10.
An economy produces a consumption good and also has a research sector which produces new ideas. Time is discrete and indexed by t = 0, 1, 2, …. The production function for the consumption good is given by Yt = AtLyt The production function for new ideas is given by At+1 - At = (1/250)AtLat The growth rate of the consumption good Yt at t = 50 is ____ percent (in integer).
Assuming Lat = 1000, the growth rate of At, and hence Yt, is 4%.
Consider a closed economy IS-LM model. The goods and the money market equations are respectively given as follows: Y = 90 + 0.8Yd - 100i + G Ms = 750 + 0.2Y - 260i Where, Y is national income, Yd is disposable income, T is total tax given by T = 5 + 0.2Y, i is interest rate, G is government expenditure = 300, and Ms is constant money supply = 950. The value of T at equilibrium Y is ____ (rounded to the nearest integer).
Solving the IS-LM equations simultaneously gives i ≈ 0.0457 and Y ≈ 1059.52. Substituting Y into the tax equation gives T ≈ 215.
The supply curve is given as p = 10 + x + 0.1x2 where p is the market price and x is the quantity of goods supplied. The change in the producer surplus due to an increase in market price from 30 to 70 is ____ (rounded to the nearest integer).
At p=30, x=10. At p=70, x=20. The change in producer surplus is calculated by integrating and subtracting the areas under the supply curve at these two price levels, which results in approximately 616.
There are two goods X and Y and there are two consumers A and B in a pure exchange economy. A and B have Cobb-Douglas utility functions of the form UA = 2X0.4Y0.6, UB = X0.3Y0.7 Initially, A is endowed with 50 units of good X and 20 units of good Y. Similarly, B is endowed with 50 units of good X and 20 units of good Y. If the unit price of good Y is normalised to 1, then the equilibrium unit price for good X is ____ (rounded to two decimal places).
Equating the MRS of both consumers to the price ratio (PX/PY = PX since PY = 1) and solving gives PX ≈ 0.21.
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