Practice Post UTME IMS U economics 2024 Past Questions

Question 1

Consider a perfectly competitive market with n firms, each producing a homogeneous product. If the market demand curve is downward-sloping and the firms are price-takers, what is the equilibrium price and quantity in this market?

A. $ P = MC $

B. $ P = MR $

Correct C. $ P = MC = MR $

D. $ P > MC $

Correct Answer: C

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Question 2

A firm's \cost function is given by ( C(q) = 10q + 100 ). If the firm produces 20 units, what is the total \cost?

A. ( 300 )

Correct B. ( 400 )

C. ( 500 )

D. ( 600 )

Correct Answer: B

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Question 3

Consider a monopolist with a demand curve given by $ P = 100 - 2q $ and a marginal \cost curve given by $ MC = 10 $. What is the monopolist's profit-maximizing quantity?

A. ( 20 )

B. ( 30 )

Correct C. ( 40 )

D. ( 50 )

Correct Answer: C

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Question 4

A country's balance of payments account is given by the following equation: $ BOP = X - M $, where ( X ) is the value of exports and ( M ) is the value of imports. If the country's exports are ( 100 ) and its imports are ( 80 ), what is the balance of payments?

Correct A. ( 20 )

B. ( 30 )

C. ( 40 )

D. ( 50 )

Correct Answer: A

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Question 5

Consider a firm that produces a homogeneous product and faces a market demand curve given by $ P = 100 - 2q $. If the firm's marginal \cost curve is given by $ MC = 10 $, what is the firm's profit-maximizing quantity?

A. ( 20 )

B. ( 30 )

Correct C. ( 40 )

D. ( 50 )

Correct Answer: C

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Question 6

A firm's production function is given by Q = 2L^0.5K^0.5. If the firm's current output is 16 units and the number of workers (L) is 4, find the number of machines (K) required.

A. 4

B. 9

Correct C. 16

D. 25

Correct Answer: C

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Question 7

A monopolist faces a demand curve given by P = 100 - 2Q. The monopolist's marginal \cost (MC) is given by MC = 10 + 2Q. Find the profit-maximizing quantity of output.

A. 10

Correct B. 20

C. 30

D. 40

Correct Answer: B

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Question 8

A consumer's utility function is given by U = 2x + 3y. The consumer's budget constraint is given by 2x + 3y = 12. Find the consumer's optimal consumption bundle.

A. x = 2, y = 4

Correct B. x = 3, y = 3

C. x = 4, y = 2

D. x = 6, y = 0

Correct Answer: B

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Question 9

A firm's production function is given by Q = 3L^0.5K^0.5. If the firm's current output is 9 units and the number of workers (L) is 1, find the number of machines (K) required.

A. 1

B. 4

Correct C. 9

D. 16

Correct Answer: C

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Question 10

A monopolist faces a demand curve given by P = 150 - 3Q. The monopolist's marginal \cost (MC) is given by MC = 15 + 3Q. Find the profit-maximizing quantity of output.

A. 15

B. 20

Correct C. 25

D. 30

Correct Answer: C

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Question 11

Calculate the value of the definite integral $ int_{0}^{1} x^2 , dx $ u\sing the power rule of integration.

Correct A. 1/3

B. 1/2

C. 1

D. 2

Correct Answer: A

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Question 12

A firm's demand function is given by $ Q = 100 - 2P $. If the price elasticity of demand is 0.5, find the value of the price at which the firm will sell 50 units.

A. ₦50

Correct B. ₦75

C. ₦100

D. ₦125

Correct Answer: B

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Question 13

A country's GDP is ₦1,000,000,000. If the country's GNP is ₦1,100,000,000, calculate the value of the net factor income from abroad.

Correct A. ₦100,000,000

B. ₦200,000,000

C. ₦300,000,000

D. ₦400,000,000

Correct Answer: A

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Question 14

A firm's production function is given by $ Q = 100K^{0.5}L^{0.5} $. If the firm's output is 100 units and the wage rate is ₦100 per unit, find the value of the capital stock.

A. ₦10,000

Correct B. ₦20,000

C. ₦30,000

D. ₦40,000

Correct Answer: B

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Question 15

A country's balance of payments is given by the following table:\n| Item | Value |\n| --- | --- |\n| Exports | ₦500,000,000 |\n| Imports | ₦600,000,000 |\n| Net factor income from abroad | ₦100,000,000 |\n| Net transfers | ₦200,000,000 |\n| Balance of payments | ? |\n\nCalculate the value of the balance of payments.

A. ₦100,000,000

B. ₦200,000,000

C. ₦300,000,000

Correct D. ₦400,000,000

Correct Answer: D

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Question 16

The Nigerian government has introduced a new policy to increase agricultural production. The policy includes providing subsidies to farmers, improving irrigation systems, and increa\sing access to credit. However, the policy also includes a provision that allows the government to seize land from farmers who fail to meet production targets. Which of the following market structures best describes the situation?

A. Perfect Competition

B. Monopoly

C. Oligopoly

Correct D. Monopsony

Correct Answer: D

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Question 17

A firm is producing a good u\sing the production function Q = 2L^0.5K^0.5. If the price of the good is $10 and the price of labor is $5, and the price of capital is $10, what is the profit-maximizing level of labor?

A. 10

Correct B. 20

C. 30

D. 40

Correct Answer: B

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Question 18

The Nigerian government is considering a new tax policy to increase revenue. The policy includes a value-added tax (VAT) of 10% on all goods and services. However, the policy also includes an exemption for certain goods and services, such as food and medicine. Which of the following types of taxes best describes the situation?

A. Direct Tax

Correct B. Indirect Tax

C. Proportional Tax

D. Progressive Tax

Correct Answer: B

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Question 19

A firm is producing a good u\sing the production function Q = 2L^0.5K^0.5. If the price of the good is $10 and the price of labor is $5, and the price of capital is $10, what is the profit-maximizing level of capital?

Correct A. 10

B. 20

C. 30

D. 40

Correct Answer: A

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Question 20

The Nigerian government is considering a new policy to increase agricultural production. The policy includes providing subsidies to farmers, improving irrigation systems, and increa\sing access to credit. However, the policy also includes a provision that allows the government to seize land from farmers who fail to meet production targets. Which of the following types of market structures best describes the situation?

A. Perfect Competition

B. Monopoly

C. Oligopoly

Correct D. Monopsony

Correct Answer: D

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Question 21

A firm is producing a good u\sing the production function Q = 2L^0.5K^0.5. If the price of the good is $10 and the price of labor is $5, and the price of capital is $10, what is the profit-maximizing level of labor?

A. 10

Correct B. 20

C. 30

D. 40

Correct Answer: B

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Question 22

The Nigerian government is considering a new tax policy to increase revenue. The policy includes a value-added tax (VAT) of 10% on all goods and services. However, the policy also includes an exemption for certain goods and services, such as food and medicine. Which of the following types of taxes best describes the situation?

A. Direct Tax

Correct B. Indirect Tax

C. Proportional Tax

D. Progressive Tax

Correct Answer: B

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Question 23

A firm is producing a good u\sing the production function Q = 2L^0.5K^0.5. If the price of the good is $10 and the price of labor is $5, and the price of capital is $10, what is the profit-maximizing level of capital?

Correct A. 10

B. 20

C. 30

D. 40

Correct Answer: A

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Question 24

A firm's production function is given by Q = 2L^$ 1/2 $K^$ 1/2 $, where L is labor and K is capital. If the firm's current labor and capital inputs are L = 16 and K = 9, respectively, what is the firm's current output level?

Correct A. 32

B. 64

C. 128

D. 256

Correct Answer: A

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Question 25

A country's GDP is given by the equation GDP = C + I + G + $ X - M $, where C is consumption, I is investment, G is government sp\ending, X is exports, and M is imports. If the country's current GDP is ₦1,500 billion, and the values of C, I, G, X, and M are ₦800 billion, ₦200 billion, ₦300 billion, ₦500 billion, and ₦400 billion, respectively, what is the value of the country's net exports?

A. ₦100 billion

Correct B. ₦200 billion

C. ₦300 billion

D. ₦400 billion

Correct Answer: B

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