All practice questions

Match each economic activity or characteristic of a mixed economy on the left with its corresponding sector or mechanism on the right.

A price-taking firm operating in a competitive market has a short-run total cost function given by $TC = Q^3 - 6Q^2 + 25Q + 100$, where $Q$ represents the quantity of output produced. If the prevailing market price is $\$25$ per unit, what is the firm's profit-maximizing output and its corresponding economic profit or loss?

A gear system consists of a driving gear with $12$ teeth and a driven gear with $48$ teeth. If an effort of $40\text{ N}$ applied to the driving gear overcomes a load of $120\text{ N}$ on the driven gear, what is the efficiency of the machine?

A state government in Nigeria receives statutory allocations from the Federation Account, collects Pay-As-You-Earn (PAYE) tax from employees, charges toll fees on state highways, and issues a 10-year municipal bond to fund infrastructure development. Which of these financial inflows is classified as a capital receipt?

A commercial printing firm with a capital budget of $\text{N}500,000$ intends to acquire equipment to expand production. The proprietor constructs a scale of preference listing potential acquisitions in descending order of priority as follows:

1. Industrial Paper Cutter ($\text{N}300,000$)
2. High-Speed Digital Printer ($\text{N}200,000$)
3. Heavy-Duty Binding Machine ($\text{N}200,000$)
4. Lamination Machine ($\text{N}100,000$)

If the proprietor acts rationally by allocating the budget strictly according to this scale of preference, what is the opportunity cost of the decision?

An agro-processing enterprise operating at full capacity can produce either $150\text{ bags}$ of cassava flour or $100\text{ bags}$ of garri per day using its fixed processing equipment. Assuming a constant rate of transformation between the two goods, what is the opportunity cost, in bags of cassava flour, of increasing garri production from $40\text{ bags}$ to $70\text{ bags}$ per day?

Read the poetic extract below:

The silver moon illuminates the night,
And casts its gentle beam upon the sea;
The stars above shine brilliantly and bright,
As whispered breezes call out soft to me.
Yet when the dawn unfolds her golden grace,
The shadows flee before the rising sun;
A sudden warmth transforms this quiet place,
And all the fears of darkness are undone.

Which of the following best describes the stanzaic structure and rhyme scheme of the extract above?

Following the mass extinction event at the end of the Cretaceous period, ancestral mammals underwent rapid diversification into diverse ecological roles, giving rise to burrowing, aquatic, flying, and terrestrial forms. Which of the following evolutionary processes best accounts for this rapid diversification into varied ecological niches?

A commercial cashew processing factory in Enugu divides its workflow into four sequential operations: shelling, peeling, grading, and vacuum packaging. During a production shift, a mechanical breakdown in the shelling unit forces workers in the subsequent peeling, grading, and packaging units to suspend work, despite their machinery remaining fully operational. Which drawback of the division of labor does this scenario illustrate?

Read the prose extract below carefully:

"Mama sat on the worn bamboo stool, her thumb tracing the rim of her enamel cup. She wondered if her son had reached the city safely, though she revealed none of her anxieties to her daughter. Across the yard, Obi line-dried his damp tunic, completely oblivious to his mother's quiet distress, thinking only of the evening wrestling match."

Which narrative point of view is employed in the extract above?

Match each economic growth determinant on the left with its corresponding description or impact on national output on the right.

Match each polyfunctional organic compound listed on the left with its principal IUPAC functional group suffix on the right, based on IUPAC nomenclature priority rules.

In a market for standardized grain featuring numerous small buyers and sellers, a single producer decides to set their selling price $5\%$ above the prevailing market equilibrium price. Which of the following best describes the immediate economic outcome for this producer?

In market economics, changes in price and non-price determinants produce distinct geometric shifts or movements on a commodity's demand curve. Match each specific market event involving fresh milk on the left with its exact geometric outcome on the demand curve on the right.

In a perfectly competitive market, a profit-maximizing firm determines its short-run equilibrium output level by setting its marginal cost equal to which of the following?

An experimenter uses a digital stopwatch to record the duration of $40$ complete oscillations of a simple pendulum. The stopwatch displays a reading of $50.8\text{ s}$, but it has a known positive zero error of $+0.8\text{ s}$. What is the correct period of oscillation of the pendulum?

A plant ecologist investigates the pollination mechanism of an angiosperm species growing in an open, windy savannah habitat. Which combination of floral adaptations would most effectively facilitate cross-pollination by wind in this environment?

In a mixed economic system, fiscal intervention by the government through selective taxation and subsidies completely replaces the price mechanism, leaving resource allocation entirely under the authority of a central planning board.

In prose narrative structure, a 'red herring' is a device deployed primarily during the denouement to resolve the central conflict and tie up loose plot threads.

A consumer obtains a total utility ($TU$) of $18$ utils, $32$ utils, $42$ utils, $48$ utils, and $50$ utils from consuming $1$, $2$, $3$, $4$, and $5$ cups of coffee, respectively. What is the marginal utility ($MU$) derived from consuming the $4^{\text{th}}$ cup of coffee?