Practice Post UTME COVENANT UNIVERSITY commerce 2023 Past Questions

Question 1

A company's production function is given by Q = 100L^0.5K^0.5, where Q is the quantity produced, L is the labor input, and K is the capital input. If the company increases labor input from 100 to 121 units and capital input from 100 to 121 units, what is the percentage change in the quantity produced?

A. 10%

Correct B. 20%

C. 30%

D. 40%

Correct Answer: B

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Question 2

A firm is considering two investment projects. Project A has a 10% chance of returning 100, a 60% chance of returning 50, and a 30% chance of returning 0. Project B has a 20% chance of returning 120, a 40% chance of returning 60, and a 40% chance of returning 0. Which project has a higher expected return?

Correct A. Project A

B. Project B

C. Both projects have the same expected return

D. Neither project has a higher expected return

Correct Answer: A

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Question 3

A bank offers a 5-year fixed deposit account with an interest rate of 8% per annum compounded annually. If a customer deposits ₦100,000 at the beginning of the first year, how much will the customer have at the end of the fifth year?

Correct A. ₦163,922.71

B. ₦164,922.71

C. ₦165,922.71

D. ₦166,922.71

Correct Answer: A

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Question 4

A company's marketing strategy involves a 20% discount on all products for the first 3 months of the year. If the original price of a product is ₦1,000, what is the new price after the discount?

Correct A. ₦800

B. ₦800

C. ₦800

D. ₦800

Correct Answer: A

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Question 5

A firm is considering two different production processes. Process A requires an initial investment of ₦100,000 and generates a profit of ₦20,000 per year for 5 years. Process B requires an initial investment of ₦150,000 and generates a profit of ₦30,000 per year for 5 years. Which process has a higher net present value?

A. Process A

Correct B. Process B

C. Both processes have the same net present value

D. Neither process has a higher net present value

Correct Answer: B

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Question 6

A company's marketing strategy involves a mix of advertising, sales promotions, and public relations. Which of the following is NOT a characteristic of a successful marketing strategy?

A. Flexibility

B. Adaptability

C. Consistency

Correct D. Unpredictability

Correct Answer: D

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Question 7

A consumer purchases a product with a 10% discount. If the original price of the product is ₦1,500, how much does the consumer pay?

Correct A. ₦1,350

B. ₦1,400

C. ₦1,450

D. ₦1,500

Correct Answer: A

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Question 8

A company's financial statements show a net income of ₦500,000. If the company's tax rate is 25%, how much tax does the company pay?

A. ₦125,000

Correct B. ₦150,000

C. ₦175,000

D. ₦200,000

Correct Answer: B

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Question 9

A bank's reserve requirement is 10%. If the bank has ₦1,000,000 in deposits, how much must it keep in reserve?

Correct A. ₦100,000

B. ₦200,000

C. ₦300,000

D. ₦400,000

Correct Answer: A

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Question 10

A company's marketing mix involves a product with a high level of quality and a low price. Which of the following is a characteristic of this product?

A. High quality and high price

B. Low quality and low price

Correct C. High quality and low price

D. Low quality and high price

Correct Answer: C

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Question 11

A company has a production function given by Q = 100L^0.5K^0.5, where Q is the quantity produced, L is the labor input, and K is the capital input. If the company wants to increase its production by 20% while keeping labor input constant, what percentage increase in capital input is required?

A. 10%

Correct B. 20%

C. 30%

D. 40%

Correct Answer: B

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Question 12

A sole trader has an annual turnover of ₦1,500,000 and an annual profit of ₦200,000. If the sole trader wants to increase its annual profit by 15% while keeping the annual turnover constant, what percentage increase in the annual turnover is required?

A. 10%

Correct B. 15%

C. 20%

D. 25%

Correct Answer: B

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Question 13

A company has a marketing budget of ₦500,000 and wants to allocate it among three advertising channels: TV, Radio, and Print. If the company wants to allocate 30% of the budget to TV, 20% to Radio, and 50% to Print, what is the total number of units sold if the company sells 100 units for every ₦10,000 spent on advertising?

A. 500 units

B. 750 units

Correct C. 1000 units

D. 1250 units

Correct Answer: C

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Question 14

A company has a production function given by Q = 100L^0.5K^0.5, where Q is the quantity produced, L is the labor input, and K is the capital input. If the company wants to increase its production by 20% while keeping labor input constant, what percentage increase in capital input is required?

A. 10%

Correct B. 20%

C. 30%

D. 40%

Correct Answer: B

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Question 15

A company has a marketing budget of ₦500,000 and wants to allocate it among three advertising channels: TV, Radio, and Print. If the company wants to allocate 30% of the budget to TV, 20% to Radio, and 50% to Print, what is the total number of units sold if the company sells 100 units for every ₦10,000 spent on advertising?

A. 500 units

B. 750 units

Correct C. 1000 units

D. 1250 units

Correct Answer: C

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Question 16

A company is considering exporting its products to a foreign market. Which of the following is a major advantage of exporting?

Correct A. Increased revenue

B. Reduced competition

C. Improved brand image

D. Enhanced market research

Correct Answer: A

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Question 17

A sole trader has a business income of ₦500,000 and expenses of ₦200,000. What is the profit before tax?

Correct A. ₦300,000

B. ₦400,000

C. ₦500,000

D. ₦600,000

Correct Answer: A

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Question 18

A company has a debt of ₦1,000,000 and an equity of ₦2,000,000. What is the debt-to-equity ratio?

Correct A. 1:2

B. 2:1

C. 1:1

D. 3:2

Correct Answer: A

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Question 19

A consumer has a credit card with a balance of ₦50,000 and an interest rate of 20% per annum. What is the interest charged for the first year?

A. ₦10,000

Correct B. ₦20,000

C. ₦30,000

D. ₦40,000

Correct Answer: B

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Question 20

A company has a market share of 30% in a particular industry. What is the market share of its competitor?

A. 20%

B. 30%

Correct C. 40%

D. 50%

Correct Answer: C

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Question 21

A firm's production function is given by Q = 2L^0.5H^0.5, where Q is output, L is labor, and H is capital. If the firm wants to increase output by 20% while keeping labor constant, how much should it increase capital?

A. 10%

Correct B. 20%

C. 30%

D. 40%

Correct Answer: B

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Question 22

A consumer has a budget constraint of 100, and the prices of two goods are 5 and 10, respectively. If the consumer's indifference curve is tangent to the budget line, what is the consumer's optimal bundle?

A. 5 units of good 1 and 10 units of good 2

Correct B. 10 units of good 1 and 5 units of good 2

C. 20 units of good 1 and 10 units of good 2

D. 10 units of good 1 and 20 units of good 2

Correct Answer: B

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Question 23

A firm's revenue function is given by R = 100Q - 2Q^2, where Q is output. If the firm wants to maximize revenue, what is the optimal level of output?

A. 10

Correct B. 20

C. 30

D. 40

Correct Answer: B

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Question 24

A consumer has a utility function u(x,y) = 2x + 3y, where x and y are the quantities of two goods. If the consumer's budget constraint is 100, and the prices of the two goods are 5 and 10, respectively, what is the consumer's optimal bundle?

A. 10 units of good 1 and 20 units of good 2

Correct B. 20 units of good 1 and 10 units of good 2

C. 30 units of good 1 and 5 units of good 2

D. 40 units of good 1 and 0 units of good 2

Correct Answer: B

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Question 25

A firm's cost function is given by C(Q) = 100 + 2Q + 0.5Q^2, where Q is output. If the firm wants to minimize cost, what is the optimal level of output?

A. 10

Correct B. 20

C. 30

D. 40

Correct Answer: B

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