POST UTME IMS U 2025 Commerce | Objective
Practice these randomly selected questions to test your readiness.
Question 1
A company has a warehouse with a capacity of 10,000 units. If the demand for the product is normally distributed with a mean of 9,000 units and a standard deviation of 1,500 units, what is the probability that the demand will exceed the capacity of the warehouse?
Question 2
A bank's investment portfolio consists of stocks, bonds, and mutual funds. Using the concept of diversification, calculate the portfolio's expected return if the expected return on stocks is 8%, the expected return on bonds is 5%, and the expected return on mutual funds is 10%. The portfolio is invested 60% in stocks, 20% in bonds, and 20% in mutual funds.
Question 3
A company has a production capacity of 1000 units per day. If the demand rate is 800 units per day, what is the maximum number of days the company can maintain a safety stock of 200 units?
Question 4
A company is facing financial difficulties and is considering the option of liquidating its assets. What is the primary consideration for the company in deciding whether to liquidate?
Question 5
A firm produces two products, A and B, using two inputs, labor and capital. The production function for product A is given by Q_A = 2L^0.5K^0.5, where Q_A is the quantity of product A, L is the amount of labor, and K is the amount of capital. If the firm has 100 units of labor and 200 units of capital, what is the maximum quantity of product A that can be produced?
Question 6
A bank's interest rate is given by the equation ( r = 5 + 0.03A , where r is the interest rate and A is the amount borrowed. If the bank borrows 1500 units, what is the interest rate?
Question 7
A firm's production function is given by the equation ( Q = 2L^2 + 3K^2 ), where Q is the quantity produced, L is the number of labor units, and K is the number of capital units. If the firm has 4 labor units and 3 capital units, what is the maximum quantity that can be produced?
Question 8
A company's inventory management system uses a just-in-time (JIT) approach to minimize inventory costs. However, this approach also increases the risk of stockouts. Using the concept of inventory turnover, calculate the inventory turnover ratio if the average inventory level is ₦500,000 and the cost of goods sold is ₦2,000,000.
Question 9
A sole trader's business is considered a separate legal entity from its owner. However, in the event of a lawsuit, the owner's personal assets may be at risk. What is the primary reason for this vulnerability?
Question 10
A firm's production function is given by the equation ( Q = 2L^2 + 3K^2 , where Q is the quantity produced, L is the number of labor units, and K is the number of capital units. If the firm has 5 labor units and 4 capital units, what is the quantity produced?
Question 11
A bank offers a 5-year fixed deposit account with a 12% annual interest rate. If a customer deposits ₦500,000, how much will they receive at the end of the term, assuming compound interest?
Question 12
A company's sole trader, Mr. A, has a warehouse with a capacity of 10,000 units. He receives an order for 8,000 units. If the demand for the product is normally distributed with a mean of 9,000 units and a standard deviation of 1,500 units, what is the probability that the demand will exceed the capacity of the warehouse?
Question 13
A company is considering the introduction of a new product line. The product line is expected to generate significant revenue, but it also requires a substantial investment in production and marketing. What is the primary consideration for the company in deciding whether to introduce the new product line?
Question 14
A marketing firm wants to create a social media campaign to increase brand awareness. Which of the following metrics would be the most effective in measuring the campaign's success?
Question 15
A firm's demand function is given by the equation ( Q = 100 - 2P , where Q is the quantity demanded and P is the price. If the price is 20 units, what is the quantity demanded?
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