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Question 7021Question →

Prior to British colonial rule, indigenous administration in Eastern Nigeria functioned without centralized monarchies or formal direct tax collection systems. When the colonial government introduced direct taxation in the late 1920s through the Native Revenue Ordinance, what primary factor caused widespread resistance against the system?

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Answer: The imposition of direct taxes by appointed Warrant Chiefs who lacked traditional political legitimacy

Answer

The primary factor causing widespread resistance was the imposition of direct taxes by artificially appointed Warrant Chiefs who lacked traditional political legitimacy.
Indirect Rule failed in Eastern Nigeria primarily because the British created artificial Warrant Chiefs to exercise executive and judicial authority, including tax collection. In acephalous societies, authority was decentralized and consensus-based. Imposing direct taxes through non-traditional, appointed figures violated indigenous political norms, triggering widespread revolts such as the Aba Women's War of 1929.

Step-by-Step Solution

1
Analyze the pre-colonial political structure of Eastern Nigeria
Eastern Nigeria operated mostly as an acephalous (decentralized) society without centralized monarchies, standing armies, or formal tax collection systems.
Understanding pre-colonial governance reveals why colonial administrative structures were incompatible.
2
Evaluate the British colonial implementation of Indirect Rule in the region
To enforce Indirect Rule, colonial authorities created artificial leaders known as Warrant Chiefs and established Native Courts.
The British attempted to replicate the Northern indirect rule model where suitable indigenous institutions did not exist.
3
Identify the trigger and cause of political unrest in the late 1920s
The attempt to extend direct taxation using Warrant Chiefs led directly to mass unrest, most notably the Aba Women's War of 1929, because the Warrant Chiefs lacked constitutional legitimacy and were perceived as oppressive.
Imposing taxes through unconstitutional authorities directly caused popular revolt.

Key Concept

Failure of Indirect Rule and direct taxation in Eastern Nigeria due to Warrant Chief artificiality
Estimated Time:1m 0s
Question 7022Question →

Arrange the following social and political entities in order of their degree of formal legal authority and political organization, starting from the lowest level of formal political structure to the highest.

Drag items to arrange them in the correct order

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Answer

The correct order from the lowest degree of formal legal authority to the highest is Society, followed by Nation, and culminating in State.
Society is primarily a network of social interactions without formal governance. A Nation adds psychological and cultural unity along with political awareness. The State is the apex of political organization because it exclusively possesses legal sovereignty, a defined territory, and institutional authority.

Step-by-Step Solution

1
Identify the entity representing informal social relationships.
Society forms the foundational, non-political framework of voluntary interactions without legal sovereign enforcement.
Society lacks formal government institutions and sovereign jurisdiction.
2
Identify the entity representing cultural identity with political consciousness.
Nation represents a community united by culture and historical identity seeking political self-determination.
A nation has a stronger political identity than a general society, but may exist without sovereign statehood.
3
Identify the entity possessing supreme legal and coercive authority.
State possesses sovereignty, defined borders, legal authority, and monopoly over legitimate force.
The state represents the ultimate formal political institution.

Key Concept

Hierarchy of legal authority and political structure among Society, Nation, and State.
Question 7023Question →

In a constitutional democracy, the principle of majority rule grants the elected legislative majority the authority to modify fundamental human rights without judicial oversight.

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Answer: False

Answer

The statement is False. A defining feature of constitutional democracy is that majority rule must operate within constitutional limits, meaning fundamental rights are protected from arbitrary legislative changes through judicial review.
The statement is false because constitutional democracy requires that majority rule be bounded by the constitution and subject to judicial review to safeguard fundamental rights.

Step-by-Step Solution

1
Analyze the statement's claim about majority rule and fundamental human rights.
The statement asserts that an elected legislative majority can alter fundamental rights without judicial interference.
Understanding the limits of governmental power is essential to evaluating democratic features.
2
Evaluate the statement against the core features and prerequisites of a constitutional democracy.
Constitutional democracy combines popular sovereignty with the rule of law, constitutionalism, and an independent judiciary.
Without judicial review and entrenched rights, democracy degrades into majoritarian tyranny.

Key Concept

Limits of Majority Rule in Constitutional Democracy
Question 7024Question →

Match each feature or element of the Clifford Constitution of 1922 on the left with its precise structural specification or administrative restriction on the right. Which correct pairings link each constitutional feature to its corresponding historical limitation or provision?

Click a left item, then click its matching right item

Items

1922 Executive Council
1922 Elective Franchise Criterion
Legislative Council Jurisdiction
Distribution of Elected Legislative Seats

Matches

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Answer

The correct pairings are: the 1922 Executive Council was an advisory body composed exclusively of appointed British officials; the 1922 Elective Franchise Criterion restricted voting rights to adult males earning a minimum gross income of £100 per annum; the Legislative Council Jurisdiction covered only the Colony of Lagos and Southern Provinces while excluding Northern Nigeria; and the Distribution of Elected Legislative Seats allocated three seats to Lagos and one seat to Calabar.
Each feature correctly reflects historical provisions of the 1922 Clifford Constitution: the Executive Council remained all-British and advisory; the elective principle imposed a £100 annual income requirement; legislative jurisdiction excluded Northern Nigeria; and elected seats were partitioned into three for Lagos and one for Calabar.

Step-by-Step Solution

1
Identify the composition of the executive organ under the 1922 Clifford Constitution.
The Executive Council was completely non-elective and comprised strictly official British members.
Africans were not admitted into the Executive Council until much later amendments.
2
Determine the franchise qualification details for the introduction of the elective principle.
Voting was limited to males residing in Lagos or Calabar with an annual income of at least £100.
This property and income qualification disenfranchised women and lower-income Nigerians.
3
Examine the geographic limits of the legislative body.
The Legislative Council made laws for Lagos and the Southern Provinces, while the Governor ruled the North by proclamation.
The Clifford Constitution maintained a structural divide between Northern and Southern administration.
4
Verify the breakdown of elected African representation.
Four seats were elected: 3 for Lagos municipal area and 1 for Calabar.
Lagos and Calabar were the only urban centers granted franchise privileges due to their prominent coastal status and early political activity.

Key Concept

The Clifford Constitution of 1922 and Elective Principle
Question 7025Question →

Match each of the following unseen prose excerpts with the central theme or main idea it predominantly conveys.

Click a left item, then click its matching right item

Items

Chief Oladipo adjusted his embroidered agbada before stepping into the flashing lights of the press conference. He presented an oversized cardboard cheque for the new orphanage ward with a grandiloquent speech detailing his lifelong devotion to the underprivileged. Yet, as soon as the cameras clicked shut and the journalists dispersed, he quietly instructed his secretary to deduct the donation amount from the wages of his factory laborers, ensuring his profit margin remained untouched by his publicized virtue.
Thirty years after the ceasefire, Corporal Ekanem still cultivated his cassava patch with mathematical precision, digging deep defensive trenches around every mound. To the villagers, he was merely a meticulous old farmer who spoke to the wind. But whenever thunder echoed across the distant hills, his fingers would instinctively freeze around his hoe, his eyes scanning the clear sky for non-existent bomber jets, locked in an invisible conflict that peace could never demobilize.
In the neon-lit corridors of the new metropolis, communication flowed faster than light, yet silence had never felt so heavy. Neighbors exchanged encrypted digital tokens of goodwill through screens, but avoided eye contact in the elevators. The city had perfected the art of connectivity while systematically dismantling the fragile threads of genuine human communion, creating a crowded desert where solitude was manufactured by design.
Nneka sat by the dying embers, her crackled voice weaving tales of the clever tortoise and the ancestral spirit world. Around her, the young children fidgeted, their thumbs twitching rhythmically against the plastic casings of handheld glowing screens. They tolerated her ancient folklore only until their batteries recharged, unaware that with every unheeded story, a library of communal memory was silently burning to the ground.

Matches

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Answer

Excerpt 1 matches the hypocrisy of public philanthropy masking economic exploitation; Excerpt 2 matches the enduring psychological trauma of war persisting within peaceful domestic life; Excerpt 3 matches the paradox of technological advancement fostering profound social alienation; Excerpt 4 matches the tragic erosion of cultural heritage and oral tradition due to modern distraction.
Each excerpt contains specific narrative markers that point to a distinct central theme: Excerpt 1 explicitly juxtaposes public donations with private wage deductions to expose false charity; Excerpt 2 portrays psychological war reflexes enduring in agrarian life; Excerpt 3 contrasts digital connectivity with interpersonal silence; Excerpt 4 illustrates the displacement of traditional storytelling by electronic devices.

Step-by-Step Solution

1
Analyze Excerpt 1 for core thematic indicators
Identified the conflict between Chief Oladipo's public charitable donation and his hidden wage cuts for workers.
Determines the main idea centered on hypocritical philanthropy and worker exploitation.
2
Analyze Excerpt 2 for emotional and narrative focus
Recognized Corporal Ekanem's ongoing visceral reaction to thunder and trench digging long after war has ended.
Points directly to unhealed psychological trauma lingering past physical wartime.
3
Analyze Excerpt 3 for structural irony and tone
Observed the contrast between instant digital communication and extreme personal isolation in a crowded city.
Highlights the paradox of modern technology driving social disconnect.
4
Analyze Excerpt 4 for central motif and conflict
Noted the elders' storytelling being displaced by screen interaction among youth.
Captures the loss of oral traditions and communal history.

Key Concept

Identification of Main Idea and Theme in Unseen Prose
Question 7026Question →

Match each of the following unseen prose excerpts with the central theme or main idea it predominantly explores.

Click a left item, then click its matching right item

Items

The old clerk sat amidst stacks of mildewed ledgers in the quiet basement of the municipal archive. For thirty years, he had recorded birth certificates and property deeds, watching human lives reduced to neat columns of black ink. Outside, the town grew, but inside these damp walls, flesh and blood dissolved into paper reference numbers. He touched a faded stamp, wondering if the child whose birth he logged decades ago had left any trace beyond this brittle sheet.
Chief Ebube stood on the makeshift wooden platform, sweeping his hands wide over the gathered crowd as he promised piped water and paved roads before the upcoming election. Behind the podium, however, his aides quietly loaded sacks of relief grain meant for the impoverished villagers onto private trucks bound for the city markets. The villagers clapped enthusiastically, oblivious to the empty storehouse behind the grand stage.
Nneka stood by the dusty roadside, shielding her eyes from the harsh midday sun as the rickety lorry chugged toward the distant coal mines. Inside the packed vehicle sat her younger brothers, leaving their parched ancestral farm after three consecutive seasons of failed rains. The land had become a graveyard of withered crops, forcing the young to barter their strength in dark underground shafts.
Baba Gana discarded the modern fiberglass paste offered by the young apprentice, preferring to seal the timber seams of his fishing boat with boiled palm resin and tree bark. 'A canoe is not just wood,' he grumbled, running his weathered palm across the bow. 'It must swallow the sea's salt and flex with the tide. If you poison it with artificial glue, the water will know, and it will snap your hull in a deep storm.'

Matches

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Answer

The first excerpt matches 'The dehumanizing reduction of human existence to bureaucratic documentation'; the second excerpt matches 'The betrayal of public trust through political hypocrisy and corruption'; the third excerpt matches 'Economic displacement and agrarian breakdown driving rural migration'; the fourth excerpt matches 'The preservation of traditional craftsmanship and natural harmony'.
Each excerpt contains specific narrative markers, character motivations, and symbolic details that point directly to its corresponding theme. The first excerpt focuses on archival records reducing lives to numbers; the second demonstrates political grandstanding while stealing grain; the third highlights drought driving youth out of agriculture into mining; the fourth shows an artisan rejecting synthetic materials in favor of traditional boatbuilding methods.

Step-by-Step Solution

1
Analyze Excerpt 1
Identified the focus on mildewed ledgers, reduced human lives, and brittle paper entries.
The passage highlights how bureaucratic record-keeping strips individuals of their human essence.
2
Analyze Excerpt 2
Identified the stark contrast between grand speeches promising public amenities and covert theft of relief grain.
The imagery of political theatricality concealing corruption establishes the theme of hypocritical leadership.
3
Analyze Excerpt 3
Identified drought-induced crop failure prompting youth migration to mine shafts.
The narrative explicitly ties environmental and agricultural collapse to economic displacement.
4
Analyze Excerpt 4
Identified the preference for natural palm resin over synthetic glue to respect the sea's nature.
The artisan's philosophy underscores traditional craftsmanship and ecological balance.

Key Concept

Identifying central themes and main ideas in unseen prose passages by evaluating core conflict, imagery, and narrative focus.
Question 7027Question →

A football coach records the number of goals scored by a team in six consecutive matches as 1,3,4,6,7,1, 3, 4, 6, 7, and 99. What is the variance of the goals scored?

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Answer: 7

Answer

The variance of the goals scored is 7.
To find the variance of the goals scored, first calculate the mean: xˉ=1+3+4+6+7+96=306=5\bar{x} = \frac{1+3+4+6+7+9}{6} = \frac{30}{6} = 5. Next, determine the sum of the squared deviations from the mean: (1−5)2+(3−5)2+(4−5)2+(6−5)2+(7−5)2+(9−5)2=16+4+1+1+4+16=42(1-5)^2 + (3-5)^2 + (4-5)^2 + (6-5)^2 + (7-5)^2 + (9-5)^2 = 16 + 4 + 1 + 1 + 4 + 16 = 42. Dividing this total by the number of data values (N=6N = 6) yields 426=7\frac{42}{6} = 7.

Step-by-Step Solution

1
Calculate the mean of the dataset
\bar{x} = 5
The mean is needed as the reference point for computing deviations.
2
Compute the squared deviation of each data point from the mean
Squared deviations are 16, 4, 1, 1, 4, and 16
Variance measures the average squared distance from the mean.
3
Sum the squared deviations and divide by the number of observations N = 6
Variance = 7
The formula for variance of ungrouped data is \sigma^2 = \frac{\sum (x - \bar{x})^2}{N}.

Key Concept

Variance of Ungrouped Data
Question 7028Question →

Match each post-independence Nigerian revenue allocation commission or committee on the left with its key fiscal recommendation or constitutional outcome on the right.

Click a left item, then click its matching right item

Items

Dina Interim Revenue Allocation Committee (1968)
Aboyade Technical Committee (1977)
Okigbo Presidential Commission (1980)
Revenue Mobilization Allocation and Fiscal Commission (1988)

Matches

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Answer

The Dina Committee (1968) matches with recommending a Special Joint Account and national minimum standards; the Aboyade Technical Committee (1977) matches with introducing technical criteria such as absorptive capacity and fiscal efficiency; the Okigbo Presidential Commission (1980) matches with recommending direct statutory allocation for Local Governments from the Federation Account; and the Revenue Mobilization Allocation and Fiscal Commission (1988) matches with establishing a permanent constitutional body for revenue allocation.
Each body corresponds to a critical phase in Nigerian fiscal federalism: the Dina Committee (1968) introduced national minimum standards and the Special Joint Account; the Aboyade Committee (1977) attempted an econometric approach emphasizing absorptive capacity and fiscal efficiency; the Okigbo Commission (1980) constitutionally accommodated local governments with direct shares from the Federation Account; and RMAFC (1988) institutionalized revenue allocation into a permanent regulatory body.

Step-by-Step Solution

1
Analyze the historical context of the Dina Committee (1968)
Identify that Dina shifted focus away from derivation toward national unity using a Special Joint Account and national minimum standards.
Military governance during the civil war required stronger centralized fiscal coordination.
2
Examine the recommendations of the Aboyade Committee (1977)
Link Aboyade to the introduction of econometric and technical indices such as absorptive capacity, independent revenue effort, and fiscal efficiency.
The committee prioritized economic indicators to guide state-level distribution.
3
Evaluate the Okigbo Commission's (1980) major structural contribution
Identify that Okigbo formally integrated local governments as direct beneficiaries of the Federation Account.
The 1979 Constitution recognized local governments as a statutory third tier of government.
4
Determine the role of the 1988 Danjuma initiative / RMAFC
Recognize the transition from temporary ad-hoc commissions to a permanent fiscal body.
Continuous fiscal adjustments required an institutionalized, permanent commission.

Key Concept

Evolution of Revenue Allocation Commissions and Principles in Post-Independence Nigeria
Question 7029Question →

Read the prose excerpt below carefully:

"In the grand parlor of the baronet, conversation was never meant to convey truth, but rather to dazzle. Guests traded in refined insincerities, carefully polishing their retorts like silver heirlooms. Lady Catherine, however, remained entirely impervious to this verbal fencing; she sat silently in the corner, holding her quiet composure like a shield against their gilded frivolity."

Based on the passage, what is the contextual meaning of the phrase "verbal fencing"?

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Answer: witty and competitive exchange of spoken remarks

Answer

The phrase "verbal fencing" contextually means a witty and competitive exchange of spoken remarks.
The phrase "verbal fencing" uses the metaphor of swordplay to describe the rapid, calculated, and witty back-and-forth dialogue of the guests who are "polishing their retorts." Therefore, the correct answer is the option describing a witty and competitive exchange of spoken remarks.

Step-by-Step Solution

1
Analyze the immediate textual context surrounding the target phrase
The text describes guests trading "refined insincerities" and "polishing their retorts like silver heirlooms."
Target vocabulary words in unseen literature passages derive their meaning from surrounding descriptive clues.
2
Interpret the metaphorical image created by combining "verbal" with "fencing"
Fencing is a sport of quick attacks and defenses; when applied to dialogue ("verbal"), it describes strategic, rapid spoken exchanges.
Authors use figurative expressions to convey social dynamics that go beyond literal definitions.
3
Evaluate the options to select the choice that preserves the figurative meaning
The option defining the phrase as a witty and competitive exchange of spoken remarks accurately captures the passage's intent.
This definition aligns directly with the contrast between Lady Catherine's quiet composure and the guests' superficial dialogue.

Key Concept

Contextual Word Meaning and Vocabulary in Passages
Question 7030Question →

Read the poetic excerpt below carefully:

"Upon the peak the lonely falcon stands,
And watches clouds drift slowly through the sky;
He gazes down across the desert sands,
And heeds the distant ocean's muffled cry.
No mortal hand can curb his noble flight,
Nor dim the fire of his fearless sight."

Which of the following correctly identifies the stanzaic structure and rhyme scheme of the excerpt?

Show answer & explanation

Answer: A six-line stanza (sestet) with an ababccababcc rhyme scheme

Answer

The excerpt is a six-line stanza (sestet) with an ababccababcc rhyme scheme.
The extract comprises six lines of poetry (a sestet). Mapping the end-rhymes shows that 'stands' (line 1) rhymes with 'sands' (line 3), designated as aa; 'sky' (line 2) rhymes with 'cry' (line 4), designated as bb; and 'flight' (line 5) rhymes with 'sight' (line 6), designated as cc. Thus, the pattern is an alternating quatrain followed by a rhyming couplet, making ababccababcc the correct structural rhyme scheme.

Step-by-Step Solution

1
Count the total number of lines in the poem extract.
The extract contains exactly six lines, which defines it structurally as a sestet.
Determining the line count is the first step in establishing stanzaic form.
2
Analyze the end-rhymes of each line in sequence.
Line 1 ("stands") = aa; Line 2 ("sky") = bb; Line 3 ("sands") = aa; Line 4 ("cry") = bb; Line 5 ("flight") = cc; Line 6 ("sight") = cc.
Matching corresponding phonetic end-sounds reveals the rhyme pattern.
3
Combine the stanzaic line count and end-rhyme pattern to identify the complete structural form.
The structure is a six-line stanza (sestet) following an ababccababcc scheme.
Combining line-count classification with end-rhyme analysis provides the definitive structural description.

Key Concept

Poetic Structure and Rhyme Scheme Analysis
Question 7031Question →

Match each poetic excerpt on the left with the dominant element of tone, mood, or persona it demonstrates on the right.

Click a left item, then click its matching right item

Items

"I have walked through the narrow alleys of my youth, / Where ghosts of forgotten dreams whisper in the damp shadows, / And every rusting gate remembers a name no longer spoken."
"Shall we bow to the iron decree of silent masters, / Who count our breath in copper coins and trade our sweat for dust? / Up, break the quiet harness before the night consumes our pride!"
"From the quiet ridge, I watch the sun spill golden wine across the sleepy valley, / While the gentle stream murmurs a soft lullaby to the resting hills, / Nestling all troubled thoughts into peaceful repose."
"Behold the grand architect of empty promises, / Who builds palaces of air and feeds the hungry with speeches, / Wearing a crown forged from the tears of the betrayed."

Matches

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Answer

Extract 1 matches the nostalgic/elegiac persona reflecting on lost time; Extract 2 matches the defiant/exhortative tone urging resistance; Extract 3 matches the serene/tranquil mood evoked by nature; Extract 4 matches the satirical/derisive tone exposed through irony.
Each extract is correctly paired based on specific textual evidence: Extract 1 uses elegiac imagery of past memories to establish a nostalgic persona; Extract 2 uses passionate rhetoric to establish a defiant tone; Extract 3 uses soft natural imagery to evoke a tranquil mood; Extract 4 uses sharp irony to convey a satirical tone.

Step-by-Step Solution

1
Analyze diction and key imagery in Extract 1
Identified themes of youth, forgotten dreams, and decaying memory.
Words like 'youth', 'ghosts', and 'rusting gate' indicate a nostalgic, elegiac persona.
2
Analyze rhetorical structure and emotion in Extract 2
Identified resistance against exploitation ('iron decree', 'copper coins') and call to action ('Up, break...').
Imperative phrasing and rejection of bondage define a defiant and exhortative tone.
3
Evaluate atmospheric impact of Extract 3
Identified harmonious natural imagery ('golden wine', 'gentle stream', 'lullaby').
Soft sensory descriptions generate a serene, tranquil mood in the audience.
4
Analyze perspective and attitude toward the subject in Extract 4
Identified ironic contrast between titles of authority and empty/oppressive reality.
Mocking grand descriptions ('architect of empty promises') establishes a derisive satirical tone.

Key Concept

Identifying Poetic Tone, Mood, and Persona through Diction and Imagery
Question 7032Question →

Calculate the total number of distinct four-digit numbers that can be formed using the digits 1,2,3,4,5,6,1, 2, 3, 4, 5, 6, and 77 without repetition, such that the resulting number is divisible by either 44 or 55.

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Answer: 320

Answer

The total number of such four-digit numbers is 320320.
The total number of valid four-digit numbers is found by adding the count of numbers divisible by 55 (120120) to the count of numbers divisible by 44 (200200). Since a number ending in 55 is odd, it cannot be divisible by 44, making the two conditions mutually exclusive. Thus, the total count is 120+200=320120 + 200 = 320.

Step-by-Step Solution

1
Calculate the number of four-digit numbers divisible by 55.
For a number to be divisible by 55, its units digit must be 55 (since 00 is not available). There is 11 choice for the units digit. The remaining 33 positions are filled from the remaining 66 available digits in 6P3=6×5×4=120^{6}P_{3} = 6 \times 5 \times 4 = 120 ways.
Divisibility by 55 requires the last digit to be 55.
2
Calculate the number of four-digit numbers divisible by 44.
A number is divisible by 44 if its last two digits form a multiple of 44. Using distinct digits from {1,2,3,4,5,6,7}\{1, 2, 3, 4, 5, 6, 7\}, the valid two-digit endings are 12,16,24,32,36,52,56,64,72,12, 16, 24, 32, 36, 52, 56, 64, 72, and 7676 (1010 valid pairs). For each pair, the first two positions are filled from the remaining 55 digits in 5P2=5×4=20^{5}P_{2} = 5 \times 4 = 20 ways. Thus, total ways = 10×20=20010 \times 20 = 200.
Divisibility by 44 depends entirely on the last two digits.
3
Check for overlap (numbers divisible by both 44 and 55).
A number divisible by 55 must end in 55, which is an odd digit. All multiples of 44 must end in an even digit. Hence, no number is divisible by both 44 and 55 in this set. The overlap is 00.
The two events are mutually exclusive.
4
Apply the addition principle of counting.
Total = 120+200−0=320120 + 200 - 0 = 320.
Add the counts of the two mutually exclusive sets.

Key Concept

Restricted Permutations and Mutually Exclusive Events
Estimated Time:1m 30s
Question 7033Question →

If y=(2x−1)3(x2+1)2y = (2x - 1)^3(x^2 + 1)^2, find the numerical value of dydx\frac{dy}{dx} at x=1x = 1.

Show answer & explanation

Answer: 32

Answer

The numerical value of dydx\frac{dy}{dx} evaluated at x=1x = 1 is 3232.
Using the product rule together with the chain rule for composite functions, we find u′(x)=6(2x−1)2u'(x) = 6(2x - 1)^2 and v′(x)=4x(x2+1)v'(x) = 4x(x^2 + 1). Evaluating at x=1x = 1 gives u(1)=1u(1)=1, u′(1)=6u'(1)=6, v(1)=4v(1)=4, and v′(1)=8v'(1)=8. Calculating dydx=u′(1)v(1)+u(1)v′(1)=6(4)+1(8)=32\frac{dy}{dx} = u'(1)v(1) + u(1)v'(1) = 6(4) + 1(8) = 32.

Step-by-Step Solution

1
Set up the product rule for y=u(x)v(x)y = u(x)v(x)
u(x)=(2x−1)3u(x) = (2x - 1)^3 and v(x)=(x2+1)2v(x) = (x^2 + 1)^2
The given function is a product of two composite expressions.
2
Differentiate u(x)u(x) using the chain rule
u′(x)=3(2x−1)2⋅2=6(2x−1)2u'(x) = 3(2x - 1)^2 \cdot 2 = 6(2x - 1)^2
Differentiating the outer power function and multiplying by the derivative of the inner function 2x−12x - 1.
3
Differentiate v(x)v(x) using the chain rule
v′(x)=2(x2+1)⋅2x=4x(x2+1)v'(x) = 2(x^2 + 1) \cdot 2x = 4x(x^2 + 1)
Differentiating the outer power function and multiplying by the derivative of the inner function x2+1x^2 + 1.
4
Apply the product rule formula dydx=u′(x)v(x)+u(x)v′(x)\frac{dy}{dx} = u'(x)v(x) + u(x)v'(x) and evaluate at x=1x = 1
u(1)=1u(1) = 1, u′(1)=6u'(1) = 6, v(1)=4v(1) = 4, v′(1)=8v'(1) = 8, giving dydx∣x=1=(6)(4)+(1)(8)=32\frac{dy}{dx}\Big|_{x=1} = (6)(4) + (1)(8) = 32
Substituting x=1x = 1 into each individual term simplifies the arithmetic before combining.

Key Concept

Combined application of the Product Rule and Chain Rule
Question 7034Question →

Match each line excerpted from the unseen poem below to the figure of speech that best identifies its dominant literary device.

Click a left item, then click its matching right item

Items

The whispering pines leaned down to share their grief
Her sharp words cut deeper than a two-edged sword
The golden sun was a radiant crown upon the mountain peak
Ten thousand suns could not match the intensity of her glare

Matches

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Answer

The line describing pines sharing grief matches Personification; the line comparing words to a sword using 'than' matches Simile; the line asserting the sun is a crown matches Metaphor; and the line referencing ten thousand suns matches Hyperbole.
Each poetic line is accurately matched to its dominant figure of speech based on structural definition: human emotion attributed to pines is Personification; comparison via 'than' is Simile; direct identification of sun as a crown is Metaphor; and vast overstatement is Hyperbole.

Step-by-Step Solution

1
Examine line 1 for human attributes given to natural elements.
Trees are described as whispering and feeling grief, indicating Personification.
Personification endows inanimate or non-human objects with human attributes and feelings.
2
Examine line 2 for comparative conjunctions such as 'like', 'as', or 'than'.
The comparison uses 'than' to compare words to a sword, establishing a Simile.
Similes explicitly compare two distinct things using comparative connectors.
3
Examine line 3 for direct identity assertions between two disparate concepts.
The sun is stated to be a crown without comparative words, making it a Metaphor.
Metaphors state that one thing is another to highlight shared characteristics.
4
Examine line 4 for deliberate amplification or exaggeration.
Extravagant numerical exaggeration ('ten thousand suns') defines Hyperbole.
Hyperbole uses intentional overstatement to heighten literary effect.

Key Concept

Identification and analysis of figures of speech in unseen poetic lines.
Question 7035Question →

In narrative prose, the structural device known as prolepsis (flashforward) interrupts the chronological sequence of events to present scenes or occurrences that take place later in the story's timeline.

Show answer & explanation

Answer: True

Answer

The statement is true because prolepsis explicitly describes a narrative jump forward into future timeline events.
Prolepsis accurately describes a plot device where the narrative shifts its timeline forward, giving readers insight into future developments before resuming the main chronological narrative.

Step-by-Step Solution

1
Analyze the literary term 'prolepsis' in prose plot structure.
Prolepsis is identified as a flashforward—a scene that temporarily shifts the narrative forward in time from the present plot point.
Understanding the precise definition of chronological narrative devices is necessary to evaluate the statement.
2
Compare the definition of prolepsis to the claim made in the statement.
The statement accurately reflects that prolepsis interrupts linear chronological progression to present future events.
Matching the definition against the prompt statement confirms its validity.

Key Concept

Prolepsis and Narrative Chronology
Question 7036Question →

Match each commercial function listed on the left with its correct classification within the scope of commerce on the right.

Click a left item, then click its matching right item

Items

Holding surplus agricultural produce in a storage depot until market demand rises
Selling locally manufactured textiles to consumers in domestic retail stores
Shipping processed palm oil to buyers in international markets across sea routes

Matches

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Answer

Holding goods in a storage depot matches Auxiliary to Trade (Aids to Trade); selling textiles domestically matches Home Trade; shipping goods to international buyers matches Foreign Trade.
Commerce comprises Trade and Auxiliaries to Trade. Holding produce in storage is warehousing (an aid to trade), domestic retail sales belong to Home Trade, and international sales belong to Foreign Trade.

Step-by-Step Solution

1
Identify the primary branch of commerce represented by each activity on the left.
Storage represents Warehousing; selling domestically represents Home Trade; selling internationally represents Foreign Trade.
Commerce is divided into Trade (Home and Foreign) and Auxiliaries to Trade (services supporting trade like transport, warehousing, banking, and insurance).
2
Pair each activity with its corresponding classification on the right.
Storage depot → Auxiliary to Trade; Domestic retail sales → Home Trade; International shipping → Foreign Trade.
Warehousing bridges the time gap between production and consumption, Home Trade covers exchange within national borders, and Foreign Trade involves exchange across borders.

Key Concept

Scope and Classification of Commerce
Question 7037Question →

Read the unseen prose extract below:

"From where I huddled behind the heavy velvet curtain, I watched the inspector systematically examine the locked cabinet. He paused, touched the chipped lacquer on the lock, and smiled grimly—an expression that betrayed his certainty of having found the hidden ledger."

Which of the following best describes the narrative point of view and perspective technique employed in the excerpt?

Show answer & explanation

Answer: First-person peripheral narrative point of view, in which an observing narrator reports witnessed actions and infers another character's state of mind from external cues.

Answer

First-person peripheral narrative point of view, in which an observing narrator reports witnessed actions and infers another character's state of mind from external cues.
The passage uses first-person pronouns ('I huddled', 'I watched') to establish a first-person narrator. Because the narrator is hiding behind a curtain observing the inspector, the narrator functions as a peripheral observer. The narrator infers the inspector's feeling of certainty by reading his external expression (his grim smile) rather than directly entering his mind.

Step-by-Step Solution

1
Identify grammatical pronouns to determine narrative perspective.
The phrases 'I huddled' and 'I watched' establish a first-person point of view.
First-person narration explicitly relies on first-person personal pronouns.
2
Analyze the narrator's role and degree of involvement in the narrative action.
The narrator observes from a concealed location ('behind the heavy velvet curtain') while another character performs the primary action.
This indicates an observer or peripheral role rather than a central protagonist role.
3
Evaluate how another character's mental state is presented.
The narrator deduces the inspector's 'certainty' by observing his physical gesture ('smiled grimly').
The narrator infers internal emotion through external behavioral evidence rather than omnisciently accessing the character's thoughts.

Key Concept

First-person peripheral point of view vs. third-person omniscient narration in unseen prose extracts.
Question 7038Question →

Tunde insured his commercial delivery truck, valued at N20,000,000\text{N}20,000,000, against accident risks with two insurers: N8,000,000\text{N}8,000,000 with Insurer P and N4,000,000\text{N}4,000,000 with Insurer Q. Both policies contained an average clause. A negligent motorist rammed into the truck, causing damage worth N10,000,000\text{N}10,000,000. The insurers settled Tunde's claim in accordance with insurance principles. Subsequently, Tunde successfully sued the negligent motorist and recovered the full N10,000,000\text{N}10,000,000 in damages. Based on the principles of indemnity, contribution, and subrogation, how much of the recovered N10,000,000\text{N}10,000,000 is Tunde legally entitled to retain?

Show answer & explanation

Answer: N4,000,000\text{N}4,000,000

Answer

Tunde is legally entitled to retain N4,000,000\text{N}4,000,000.
Under the average clause, the total insurance payout was limited to 60%60\% of the loss, which equals N6,000,000\text{N}6,000,000. Tunde was left with an uncompensated loss of N4,000,000\text{N}4,000,000. Under the principle of subrogation and indemnity, when damages are recovered from a liable third party, the insured is entitled to retain enough money to make up their actual uncompensated loss (N4,000,000\text{N}4,000,000). The remainder of the recovery (N6,000,000\text{N}6,000,000) must be handed over to the insurers to reimburse the payouts they made, ensuring the insured does not make a profit above full indemnity.

Step-by-Step Solution

1
Calculate total insurance coverage and assess under-insurance.
Total Sum Insured = N8,000,000+N4,000,000=N12,000,000\text{N}8,000,000 + \text{N}4,000,000 = \text{N}12,000,000. Property Value = N20,000,000\text{N}20,000,000. Under-insurance ratio = N12,000,000N20,000,000=0.60\frac{\text{N}12,000,000}{\text{N}20,000,000} = 0.60 (or 60%60\%).
The average clause applies because the property is under-insured.
2
Calculate the compensation paid by insurers under the average clause.
Total Indemnity Paid = 0.60×N10,000,000=N6,000,0000.60 \times \text{N}10,000,000 = \text{N}6,000,000.
Under an average clause, insurers pay only the proportion of the loss that the sum insured bears to the total value.
3
Determine the uninsured loss borne personally by Tunde.
Uninsured Loss = Actual Loss - Insurance Payout = N10,000,000−N6,000,000=N4,000,000\text{N}10,000,000 - \text{N}6,000,000 = \text{N}4,000,000.
Tunde acts as his own insurer for the remaining 40%40\% of the property value.
4
Apply the principles of subrogation and indemnity to the third-party recovery.
Out of the N10,000,000\text{N}10,000,000 recovered from the third party, Tunde keeps N4,000,000\text{N}4,000,000 to cover his uninsured loss, while the remaining N6,000,000\text{N}6,000,000 is refunded to Insurers P and Q.
Subrogation allows insurers to recover claims paid, but the insured is entitled to be fully indemnified for their actual loss first without making a profit.

Key Concept

Subrogation and Average Clause in Under-insurance
Question 7039Question →

Match each excerpt from the prescribed African poems in Column A with its corresponding dominant literary device or thematic function in Column B.

Click a left item, then click its matching right item

Items

"Like a fly in amber trapped in time / Rage is a thief that steals our joy" (Lade Wosornu, Raider of the Treasure Trove)
"Like a sculpted mono-face / Like a momentum of a song / Stifled in the throat of time" (Oumar Farouk Sesay, The Song of the Women of my Land)
"They tear the clothes off our backs / And sell them to buy whips to beat us" (Agostinho Neto, The Grieved Lands)
"Today frees he on wheels / Twenty-five years of obedience / Come and booze with me" (Onu Chibuike, A Government Driver on his Retirement)

Matches

Show answer & explanation

Answer

Matching pairs: Excerpt 1 matches Simile illustrating destructive emotion; Excerpt 2 matches Imagery emphasizing erosion of ancestral oral heritage; Excerpt 3 matches Paradoxical critique of colonial exploitation; Excerpt 4 matches Tragic irony of freedom leading to reckless self-destruction.
Each excerpt aligns precisely with its thematic and stylistic function: Wosornu's line uses simile to illustrate emotional entrapment, Sesay's excerpt employs imagery of stifling to depict lost cultural songs, Neto's lines express the paradox of colonial exploitation, and Chibuike's poem displays tragic irony in retirement celebration.

Step-by-Step Solution

1
Analyze excerpt 1 from 'Raider of the Treasure Trove'
Identified simile ('Like a fly in amber') representing the entrapment of human potential caused by toxic emotions like rage.
Wosornu explicitly warns against rage as a thief of joy and life achievement.
2
Analyze excerpt 2 from 'The Song of the Women of my Land'
Identified imagery of suppression depicting how modern shifts stifle traditional oral music and historical memory.
Sesay laments the silencing of ancestral songs across passage of time.
3
Analyze excerpt 3 from 'The Grieved Lands'
Identified paradoxical representation of colonial violence where victims' stripped wealth funds their own oppressors' weaponry.
Neto exposes the perversity of imperialist oppression.
4
Analyze excerpt 4 from 'A Government Driver on his Retirement'
Identified tragic irony where the celebration of 25 years of service culminates in a fatal crash caused by drunk driving.
Chibuike contrasts decades of strict obedience with sudden reckless indulgence upon retirement.

Key Concept

Analysis of Prescribed African Poems
Question 7040Question →

Evaluate the definite integral ∫02(3x2+4) dx\int_{0}^{2} (3x^2 + 4) \, dx.

Show answer & explanation

Answer: 16

Answer

The value of the definite integral is 1616.
Integrating 3x2+43x^2 + 4 with respect to xx gives the antiderivative F(x)=x3+4xF(x) = x^3 + 4x. Evaluating this antiderivative at the upper limit x=2x = 2 yields 23+4(2)=162^3 + 4(2) = 16, and at the lower limit x=0x = 0 yields 03+4(0)=00^3 + 4(0) = 0. Subtracting the lower boundary value from the upper boundary value gives 16−0=1616 - 0 = 16.

Step-by-Step Solution

1
Integrate the polynomial term by term
\int (3x^2 + 4) dx = x^3 + 4x
Apply the power rule of integration \int x^n dx = \frac{x^{n+1}}{n+1} and \int k dx = kx.
2
Apply the fundamental theorem of calculus with limits 0 and 2
[x^3 + 4x]_0^2 = (2^3 + 4(2)) - (0^3 + 4(0)) = 16 - 0 = 16
Evaluate F(b) - F(a) where F(x) is the antiderivative.

Key Concept

Definite Integral Evaluation using the Fundamental Theorem of Calculus
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