Practice post utme ksu economics 2017 Past Questions

Question 1

Consider a firm operating in a perfectly competitive market with a production function Q = 2L^0.5K^0.5. If the firm's current input prices are w = 10 and r = 20, and it currently uses 100 units of labor and 50 units of capital, calculate the firm's current output and its marginal product of labor (MPL) and marginal product of capital (MPK).

Correct A. Q = 100, MPL = 0.5, MPK = 0.25

B. Q = 50, MPL = 0.25, MPK = 0.5

C. Q = 200, MPL = 0.25, MPK = 0.5

D. Q = 50, MPL = 0.5, MPK = 0.25

Correct Answer: A

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Question 2

A consumer's utility function is given by U = 2x + 3y. If the consumer's budget constraint is 10x + 5y = 50, and the prices of x and y are 2 and 5 respectively, find the consumer's optimal consumption bundle.

Correct A. x = 10, y = 5

B. x = 5, y = 10

C. x = 15, y = 3

D. x = 7, y = 8

Correct Answer: A

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Question 3

Consider a market with a demand function Qd = 100 - 2P and a supply function Qs = 2P. If the market is initially in equilibrium at a price of 20, and the government imposes a tax of 5 on the suppliers, what will be the new equilibrium price and quantity?

Correct A. P = 25, Q = 75

B. P = 30, Q = 70

C. P = 35, Q = 65

D. P = 40, Q = 60

Correct Answer: A

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Question 4

A farmer produces wheat u\sing a production function Q = 2L^0.5K^0.5. If the farmer currently uses 100 units of labor and 50 units of capital, and the prices of labor and capital are 10 and 20 respectively, calculate the farmer's current output and its marginal product of labor (MPL) and marginal product of capital (MPK).

Correct A. Q = 100, MPL = 0.5, MPK = 0.25

B. Q = 50, MPL = 0.25, MPK = 0.5

C. Q = 200, MPL = 0.25, MPK = 0.5

D. Q = 50, MPL = 0.5, MPK = 0.25

Correct Answer: A

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Question 5

Consider a market with a demand function Qd = 100 - 2P and a supply function Qs = 2P. If the market is initially in equilibrium at a price of 20, and the government imposes a tax of 5 on the suppliers, what will be the new equilibrium price and quantity?

Correct A. P = 25, Q = 75

B. P = 30, Q = 70

C. P = 35, Q = 65

D. P = 40, Q = 60

Correct Answer: A

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Question 6

A consumer's indifference curve is downward sloping and convex to the origin. What does this imply about the consumer's preferences?

A. The consumer is risk-averse.

Correct B. The consumer is risk-neutral.

C. The consumer is risk-loving.

D. The consumer is indifferent to risk.

Correct Answer: B

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Question 7

A central bank buys government securities from commercial banks. What is the likely effect on the money supply?

Correct A. The money supply increases.

B. The money supply decreases.

C. The money supply remains unchanged.

D. The money supply becomes uncertain.

Correct Answer: A

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Question 8

A monopolist faces a downward-sloping demand curve. What is the likely effect of an increase in the monopolist's fixed \costs?

A. The monopolist will produce more output.

Correct B. The monopolist will produce less output.

C. The monopolist's output will remain unchanged.

D. The monopolist's output will become uncertain.

Correct Answer: B

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Question 9

A country's GDP grows at a rate of 5% per annum. What is the likely effect on the country's s\tandard of living?

Correct A. The s\tandard of living increases.

B. The s\tandard of living decreases.

C. The s\tandard of living remains unchanged.

D. The s\tandard of living becomes uncertain.

Correct Answer: A

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Question 10

A farmer in Nigeria decides to cultivate a new crop. What is the likely effect on the country's agricultural sector?

Correct A. The agricultural sector grows.

B. The agricultural sector shrinks.

C. The agricultural sector remains unchanged.

D. The agricultural sector becomes uncertain.

Correct Answer: A

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Question 11

The concept of scarcity in economics implies that the available resources are insufficient to meet the unlimited wants of individuals. Which of the following is a consequence of scarcity?

Correct A. Inefficient allocation of resources

B. Increased production to meet demand

C. Reduced consumption to meet demand

D. No impact on production or consumption

Correct Answer: A

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Question 12

A firm's production function is given by Q = 2L^$ 1/2 $K^$ 1/2 $, where Q is output, L is labor, and K is capital. If the firm wants to increase output by 20% while keeping labor cons\tant, what percentage increase in capital is required?

A. 10%

Correct B. 20%

C. 30%

D. 40%

Correct Answer: B

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Question 13

A country's GDP is given by the equation Y = C + I + G + $ X - M $, where Y is GDP, C is consumption, I is investment, G is government sp\ending, X is exports, and M is imports. If the country's GDP is $100 billion, consumption is $60 billion, investment is $20 billion, government sp\ending is $15 billion, exports are $30 billion, and imports are $20 billion, what is the value of the country's net exports?

A. $5 billion

Correct B. $10 billion

C. $15 billion

D. $20 billion

Correct Answer: B

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Question 14

A firm's revenue function is given by R = 100pQ, where R is revenue, p is price, and Q is quantity sold. If the firm wants to increase revenue by 20% while keeping price cons\tant, what percentage increase in quantity sold is required?

A. 10%

Correct B. 20%

C. 30%

D. 40%

Correct Answer: B

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Question 15

A country's population growth rate is given by the equation dP/dt = rP, where P is population, r is growth rate, and t is time. If the country's population is 100 million and the growth rate is 2% per year, what is the population after 10 years?

A. 120 million

B. 140 million

Correct C. 160 million

D. 180 million

Correct Answer: C

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Question 16

A consumer's indifference curve is represented by the equation ( u(x,y) = 3x + 2y ). If the consumer's income is ₦1000 and the prices of x and y are ₦5 and ₦3 respectively, find the consumer's optimal bundle of x and y.

Correct A. (100, 100)

B. (200, 50)

C. (50, 200)

D. (150, 150)

Correct Answer: A

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Question 17

A firm's total revenue is given by the equation $ TR = 100x - 2x^2 $. If the firm's marginal revenue is ₦50, find the value of x.

A. 10

Correct B. 20

C. 30

D. 40

Correct Answer: B

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Question 18

A country's balance of payments is given by the equation $ BOP = 100 - 2X + 3M $. If the country's imports are ₦500 and its exports are ₦200, find the country's balance of payments.

A. ₦100

Correct B. ₦200

C. ₦300

D. ₦400

Correct Answer: B

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Question 19

A firm's \cost function is given by the equation ( C(x) = 100 + 2x + 3x^2 ). If the firm's revenue function is ( R(x) = 100x - 2x^2 ), find the firm's profit function.

Correct A. ( P(x) = 100x - 5x^2 )

B. ( P(x) = 100x - 2x^2 )

C. ( P(x) = 100x + 2x^2 )

D. ( P(x) = 100x + 5x^2 )

Correct Answer: A

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Question 20

A country's economic growth rate is given by the equation $ g = 2 + 3n $, where n is the country's population growth rate. If the country's population growth rate is 5%, find the country's economic growth rate.

A. 7%

Correct B. 10%

C. 12%

D. 15%

Correct Answer: B

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Question 21

A firm's total revenue is given by the equation TR = 100q - 2q^2, where q is the quantity sold. If the firm's marginal revenue is 50, find the quantity at which the firm's total revenue is maximized.

A. 20

Correct B. 30

C. 40

D. 50

Correct Answer: B

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Question 22

A monopolist faces a demand curve given by P = 100 - 2q. If the firm's marginal \cost is 10, find the quantity at which the firm's profit is maximized.

A. 20

Correct B. 30

C. 40

D. 50

Correct Answer: B

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Question 23

A firm's demand curve is given by Q = 100 - 2P. If the firm's marginal revenue is 50, find the price at which the firm's total revenue is maximized.

A. 20

Correct B. 30

C. 40

D. 50

Correct Answer: B

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Question 24

A firm's total \cost is given by TC = 100 + 2q^2, where q is the quantity produced. If the firm's marginal revenue is 50, find the quantity at which the firm's profit is maximized.

A. 20

Correct B. 30

C. 40

D. 50

Correct Answer: B

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Question 25

A monopolist faces a demand curve given by P = 100 - 2q. If the firm's marginal \cost is 10, find the quantity at which the firm's profit is maximized.

A. 20

Correct B. 30

C. 40

D. 50

Correct Answer: B

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