POST UTME AAUA 2021 Economics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A firm's production function is given by Q = 2L^0.5K^0.5. If the firm wants to increase its output by 20% and the labor input is fixed at 100 units, what is the required increase in the capital input?
A. 10% increase
B. 20% increase
C. 30% increase
D. 40% increase
Question 2
Suppose a firm is producing a good with a cons\tant elasticity of demand of 2. If the price of the good increases by 10%, what is the percentage change in the quantity demanded?
A. 5%
B. 10%
C. 15%
D. 20%
Question 3
A firm's production function is given by Q = 2L^0.5K^0.5. If the firm wants to increase its output by 20% and the labor input is fixed at 100 units, what is the required increase in the capital input?
A. 10% increase
B. 20% increase
C. 30% increase
D. 40% increase
Question 4
A country's GDP is calculated as the sum of all final goods and services produced within its borders. However, if a country imports goods and services, should they be included in the GDP calculation?
A. Yes, imports should be included in the GDP calculation.
B. No, imports should not be included in the GDP calculation.
C. Imports should be included only if they are used as intermediate goods.
D. Imports should be included only if they are used as final goods.
Question 5
A firm's production function is given by Q = 100K^\( 1/2 \)L^\( 1/2 \), where K is capital and L is labor. If the firm's output is 100 units when K = 400 and L = 400, what is the marginal product of labor?
A. 50
B. 75
C. 100
D. 125
Question 6
A firm's production function is given by Q = 2L^0.5K^0.5, where Q is output, L is labor, and K is capital. If the firm wants to produce 100 units of output, and the wage rate is $10 per unit of labor, and the rental rate of capital is $5 per unit of capital, what is the optimal level of labor?
A. 10 units
B. 20 units
C. 30 units
D. 40 units
Question 7
A firm's revenue function is given by R(q) = 3q^2 + 5q + 2. If the firm produces 5 units of the good, what is the marginal revenue?
A. ₦20
B. ₦25
C. ₦30
D. ₦35
Question 8
A consumer has an income of $100 and faces a budget constraint given by \( P_1 x_1 + P_2 x_2 = 100 \). The prices of the two goods are \( P_1 = 20 \) and \( P_2 = 30 \). If the consumer chooses to sp\end all their income on good 1, what is the opportunity \cost of good 2?
A. ( 2 )
B. ( 3 )
C. ( 4 )
D. ( 5 )
Question 9
A country's balance of payments account is in equilibrium when the current account is equal to the capital account. If the current account is $100 billion and the capital account is $50 billion, what is the value of the trade balance?
A. $50 billion
B. $100 billion
C. $150 billion
D. $200 billion
Question 10
A country's balance of payments account is in equilibrium when the current account is equal to the capital account. If the current account is ₦100 billion and the capital account is ₦150 billion, what is the balance of payments deficit?
A. ₦50 billion
B. ₦100 billion
C. ₦150 billion
D. ₦200 billion
Question 11
A country's inflation rate is 5% per annum. If the price level is ₦100, what is the new price level after one year?
A. ₦105
B. ₦110
C. ₦115
D. ₦120
Question 12
A firm's demand curve is given by Qd = 100 - 2P, where Qd is the quantity demanded and P is the price. The supply curve is given by Qs = 2P - 50. Find the equilibrium price and quantity.
A. ₦50
B. ₦75
C. ₦100
D. ₦125
Question 13
A firm's \cost function is given by C = 100 + 2Q + 0.01Q^2, where Q is the firm's output. If the firm produces 1000 units of output, what is the firm's total \cost?
A. 120,100
B. 121,000
C. 122,000
D. 123,000
Question 14
A country's balance of payments account shows a trade deficit of $100 million and a capital account surplus of $150 million. What is the overall balance of payments position?
A. $50 million surplus
B. $100 million deficit
C. $150 million surplus
D. $200 million deficit
Question 15
A firm's demand curve is given by Q = 100 - 2P, where Q is quantity demanded and P is price. If the firm's marginal revenue is $5, what is the optimal price?
A. $5
B. $10
C. $15
D. $20

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