POST UTME PAN-ATLANTIC UNIVERSITY 2023 Economics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A country's inflation rate is given by the equation I = \( P - P' \) / P', where P is the current price level and P' is the previous price level. If the current price level is ₦100 and the previous price level was ₦90, what is the inflation rate?
A. 10%
B. 20%
C. 30%
D. 40%
Question 2
A firm's demand function for a good is given by Q = 100 - 2P, where Q is quantity demanded and P is price. If the firm's marginal revenue is $20, what is the optimal price?
A. $40
B. $50
C. $60
D. $70
Question 3
A firm's production function is given by Q = 2L^0.5K^0.5. If the firm's current input prices are w = ₦100 and r = ₦200, and it is currently producing 100 units of output, what is the firm's current profit-maximizing input bundle?
A. \( L = 400, K = 400 \)
B. \( L = 200, K = 200 \)
C. \( L = 100, K = 100 \)
D. \( L = 50, K = 50 \)
Question 4
A country's inflation rate is given by the equation π = \( M/P \) * \( ΔQ/Q \), where π is inflation rate, M is money supply, P is price level, ΔQ is change in quantity, and Q is quantity. If the country's inflation rate is 5%, money supply is $100 billion, price level is $50, change in quantity is 10%, and quantity is 100, what is the value of the velocity of money?
A. 2
B. 3
C. 4
D. 5
Question 5
The Marshall-Lerner condition states that a country will experience an improvement in its balance of payments if the sum of the percentage changes in its export and import prices exceeds the percentage change in its exchange rate. Which of the following scenarios would lead to an improvement in the balance of payments?
A. A 10% increase in export prices and a 5% decrease in import prices
B. A 5% decrease in export prices and a 10% increase in import prices
C. A 10% increase in export prices and a 10% increase in import prices
D. A 5% decrease in export prices and a 5% decrease in import prices
Question 6
A firm's revenue function is given by R(Q) = 2Q^2 - 10Q + 100. If the firm produces 20 units of the good, what is the total revenue?
A. ₦1,200
B. ₦1,500
C. ₦2,000
D. ₦2,500
Question 7
A firm produces two goods, A and B, u\sing two inputs, labor and capital. The production function for good A is given by Q_A = 2L^0.5K^0.5, where Q_A is the quantity of good A produced, L is the amount of labor used, and K is the amount of capital used. If the firm uses 4 units of labor and 9 units of capital, what is the marginal product of labor?
A. 0.5
B. 1
C. 1.5
D. 2
Question 8
A firm is considering investing in a new project. The project has a fixed \cost of ₦50,000 and a variable \cost of ₦20 per unit produced. The selling price of each unit is ₦30. U\sing the concept of returns to scale, explain why the firm may invest in the project.
A. The firm's average \cost per unit is decrea\sing as output increases.
B. The firm's average \cost per unit is increa\sing as output increases.
C. The firm's average \cost per unit remains cons\tant as output increases.
D. The firm's average \cost per unit is decrea\sing as output decreases.
Question 9
A consumer's utility function is given by the equation U(x, y) = 2x + 3y, where x is the number of units of good X consumed and y is the number of units of good Y consumed. If the consumer has a budget of ₦100 and the prices of good X and good Y are ₦5 and ₦10 respectively, what is the consumer's optimal consumption bundle?
A. (10, 5)
B. (5, 10)
C. (15, 3)
D. (20, 2)
Question 10
Consider the following diagram showing the supply and demand curves for a product:\n\n[Diagram: Supply and Demand Curves]\n\nIf the price elasticity of supply is 2 and the price elasticity of demand is -2, what is the equilibrium price?
A. 10
B. 20
C. 30
D. 40
Question 11
A consumer's budget constraint is given by the equation 2x + 3y = 12. The consumer's indifference curve is represented by the equation u(x,y) = 2x + y. What is the consumer's optimal bundle?
A. (x,y) = (3,2)
B. (x,y) = (2,3)
C. (x,y) = (4,1)
D. (x,y) = (1,4)
Question 12
A government imposes a tax on imports to reduce the trade deficit. However, the tax also leads to a decrease in the quantity of imports. U\sing the concept of opportunity \cost, explain why the tax may not be effective in reducing the trade deficit.
A. The tax increases the opportunity \cost of importing goods, leading to a decrease in imports.
B. The tax reduces the opportunity \cost of importing goods, leading to an increase in imports.
C. The tax has no effect on the opportunity \cost of importing goods.
D. The tax increases the opportunity \cost of producing goods domestically, leading to an increase in imports.
Question 13
Consider a firm operating in a perfectly competitive market with cons\tant returns to scale. If the firm's average \cost curve intersects the demand curve at a point where the quantity supplied is 100 units, and the price is ₦100, what is the total revenue of the firm?
A. ₦10,000
B. ₦20,000
C. ₦30,000
D. ₦40,000
Question 14
A firm's production function is given by Q = 100L^0.5K^0.5, where Q is output, L is labor, and K is capital. If the firm's labor and capital inputs are increased by 20% and 15% respectively, what is the new level of output?
A. 121.6
B. 125.6
C. 130.6
D. 135.6
Question 15
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 = ₦100 and r = ₦200, and it is currently producing 100 units of output, what is the firm's current profit-maximizing input bundle?
A. \( L = 400, K = 400 \)
B. \( L = 200, K = 200 \)
C. \( L = 100, K = 100 \)
D. \( L = 50, K = 50 \)

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