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Question 61Question →

Evaluate the numerical value of each of the following sequence and series expressions, and arrange the items in ascending order (from smallest to largest value):

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Answer

The correct ascending order is: the sum to infinity of 18+6+2+…18 + 6 + 2 + \dots (2727), followed by the 4th term of the geometric progression (4848), then the 15th term of the arithmetic progression (5959), and finally the sum of the first 5 terms of the arithmetic progression (7070).
Evaluating each expression gives values of 2727, 4848, 5959, and 7070. Arranging these from smallest to largest places the sum to infinity (2727) first, the GP term (4848) second, the 15th AP term (5959) third, and the AP sum (7070) last.

Step-by-Step Solution

1
Calculate the sum to infinity of the given geometric progression
For 18+6+2+…18 + 6 + 2 + \dots, first term a=18a = 18 and common ratio r=618=13r = \frac{6}{18} = \frac{1}{3}. Using S∞=a1−rS_\infty = \frac{a}{1-r}, we get S∞=181−1/3=182/3=27S_\infty = \frac{18}{1 - 1/3} = \frac{18}{2/3} = 27.
The sum to infinity formula for a convergent geometric series is S∞=a1−rS_\infty = \frac{a}{1-r} where ∣r∣<1|r| < 1.
2
Calculate the 4th term of the geometric progression
Given T2=ar=12T_2 = ar = 12 and T5=ar4=96T_5 = ar^4 = 96. Dividing T5T_5 by T2T_2 yields r3=9612=8  ⟹  r=2r^3 = \frac{96}{12} = 8 \implies r = 2. Thus a=122=6a = \frac{12}{2} = 6. The 4th term is T4=ar3=6×23=48T_4 = ar^3 = 6 \times 2^3 = 48.
Using the nn-th term formula of a GP, Tn=arn−1T_n = ar^{n-1}, to solve simultaneous equations for aa and rr.
3
Calculate the 15th term of the arithmetic progression
Given T3=a+2d=11T_3 = a + 2d = 11 and T8=a+7d=31T_8 = a + 7d = 31. Subtracting the equations gives 5d=20  ⟹  d=45d = 20 \implies d = 4. Substituting back yields a=11−2(4)=3a = 11 - 2(4) = 3. The 15th term is T15=a+14d=3+14(4)=59T_{15} = a + 14d = 3 + 14(4) = 59.
Using the nn-th term formula of an AP, Tn=a+(n−1)dT_n = a + (n-1)d, to find the first term aa and common difference dd.
4
Calculate the sum of the first 5 terms of the arithmetic progression
With a=4a = 4, d=5d = 5, and n=5n = 5, S5=52[2(4)+(5−1)5]=52[8+20]=52(28)=70S_5 = \frac{5}{2}[2(4) + (5-1)5] = \frac{5}{2}[8 + 20] = \frac{5}{2}(28) = 70.
Applying the AP sum formula Sn=n2[2a+(n−1)d]S_n = \frac{n}{2}[2a + (n-1)d].
5
Order the evaluated quantities from smallest to largest
Comparing numerical results 27<48<59<7027 < 48 < 59 < 70 gives the sequence: item 1, item 2, item 4, item 3.
Sorting the calculated values in ascending numerical order.

Key Concept

Evaluation and comparison of terms and sums in Arithmetic and Geometric Progressions
Estimated Time:2m 30s
Question 62Question →

Arrange the following straight-chain alkanes in order of increasing boiling point, starting with the alkane that has the lowest boiling point:

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Answer

The correct sequence from lowest to highest boiling point is Methane (CH4CH_4), Ethane (C2H6C_2H_6), Propane (C3H8C_3H_8), and Butane (C4H10C_4H_{10}).
In the unbranched alkane homologous series, boiling point increases progressively with increasing carbon chain length and relative molecular mass due to stronger intermolecular van der Waals forces. Consequently, Methane (CH4CH_4) has the lowest boiling point, followed by Ethane (C2H6C_2H_6), Propane (C3H8C_3H_8), and Butane (C4H10C_4H_{10}) with the highest boiling point.

Step-by-Step Solution

1
Identify the relationship between molecular size and boiling point in a homologous series
As the number of carbon atoms in straight-chain alkanes increases, the molecular mass increases.
Members of a homologous series share identical functional groups and exhibit a gradual gradation in physical properties.
2
Evaluate the strength of intermolecular forces
Van der Waals (dispersion) forces become stronger with increasing molecular surface area and electron count.
Greater intermolecular attraction requires more thermal energy to separate molecules into the gas phase.
3
Sequence the compounds from smallest to largest carbon chain
Methane (1C) < Ethane (2C) < Propane (3C) < Butane (4C)
Fewer carbon atoms correlate directly with a lower boiling point.

Key Concept

Physical Property Trends in Homologous Series
Question 63Question →

Arrange the following stages of alpine glacial landform evolution in sequential order from the initial pre-glacial hollow to the final alpine peak landform.

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Answer

The correct sequence begins with the formation of a nivation hollow, followed by its enlargement into a bowl-shaped cirque, the sharpening of dividing rock walls into an arête by adjacent cirques, and culminates in the formation of a pyramidal peak by three or more converging cirques.
Alpine glacial landscapes evolve systematically from small localized hollows to complex high-relief landforms. Snow accumulates in hillside depressions where freeze-thaw weathering creates a nivation hollow. As ice thickens and begins rotational movement, plucking and abrasion transform the hollow into a deep, bowl-shaped cirque. When neighboring cirques erode headward towards each other, their dividing rock wall is carved into a narrow, sharp-edged arête. Finally, when three or more cirques erode into the same mountain block from different directions, their intersecting headwalls isolate a steep, horn-like pyramidal peak.

Step-by-Step Solution

1
Identify the initial weathering and accumulation process.
Freeze-thaw action and snow gathering produce a nivation hollow in a shallow mountain slope depression.
Glacial landform development begins with pre-glacial nivation in minor depressions.
2
Identify the primary landform created by active glacial scouring.
Rotational movement of glacier ice scours out an armchair-shaped cirque with a steep headwall and basin floor.
Plucking and abrasion deepen and expand the nivation hollow into a true cirque.
3
Determine the feature created between two adjacent expanding cirques.
Headward erosion from two opposite or neighboring cirques leaves a narrow, steep ridge known as an arête.
An arête requires pre-existing cirques eroding toward one another.
4
Determine the peak landform formed when multiple cirques meet.
When three or more cirques erode headward around a single mountain summit, they leave a sharp pyramidal peak.
This represents the apex of mountain glacial erosion.

Key Concept

Evolutionary sequence of erosional alpine glacial landforms from cirque development to pyramidal peak isolation.
Question 64Question →

When preparing a company's Statement of Profit or Loss, financial accountants present line items and key profit figures in a standardized vertical structure. How should the following financial deductions and intermediate totals be ordered from the top of the statement down to the final profit for the year?

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Answer

The correct presentation sequence in a company Statement of Profit or Loss is: (1) Deducting Cost of Sales from Revenue to compute Gross Profit, (2) Subtracting operating expenses from Gross Profit to obtain Profit from Operations, (3) Deducting finance costs (such as debenture interest) to determine Profit Before Tax, and (4) Subtracting corporate income tax expense from Profit Before Tax to arrive at Profit After Tax.
The standard vertical format of a company's Statement of Profit or Loss follows a logical sequence: Revenue minus Cost of Sales yields Gross Profit; deducting operating expenses gives Profit from Operations; deducting finance costs like debenture interest yields Profit Before Tax; and subtracting income tax expense gives Profit After Tax.

Step-by-Step Solution

1
Determine the initial gross profit section calculation.
Cost of Sales is subtracted from Revenue to determine Gross Profit.
Standard accounting rules require reporting trading gross profitability prior to administrative and distribution overheads.
2
Calculate the operating profit figure.
Operating expenses are deducted from Gross Profit to arrive at Profit from Operations.
Administrative, selling, and distribution expenses reflect core operational performance.
3
Deduct non-operational financing charges.
Finance costs like debenture interest are subtracted from Profit from Operations to yield Profit Before Tax.
Debenture interest represents a cost of long-term financing rather than an operational expense.
4
Account for corporate tax obligations.
Income tax provision is subtracted from Profit Before Tax to produce Profit After Tax.
Taxation applies to taxable earnings after finance expenses have been deducted.

Key Concept

Structure of Company Statement of Profit or Loss
Question 65Question →

Arrange the following key geographical features and locations along the course of the River Niger in sequential order, starting from its source region in West Africa and moving downstream towards its lower course in Nigeria.

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Answer

The correct sequential order from upstream to downstream is Fouta Djallon Highlands, followed by Macina Inland Delta, Kainji Dam Reservoir, and Lokoja Confluence.
The correct order traces the natural downstream flow of the River Niger: 1. Fouta Djallon Highlands (source in Guinea) -> 2. Macina Inland Delta (Mali floodplains) -> 3. Kainji Dam Reservoir (middle course impoundment in Nigeria) -> 4. Lokoja Confluence (confluence with the Benue River in central Nigeria).

Step-by-Step Solution

1
Identify the headwaters/source region of the River Niger.
The River Niger originates in the high-altitude Fouta Djallon Highlands near the border of Sierra Leone in Guinea.
A river course always begins at its elevated source region.
2
Trace the river flow into Mali.
As the river flows northeast into Mali, the low slope causes it to spread out into the Macina Inland Delta.
The inland delta is an upper-middle course wetland feature situated prior to the northern desert bend.
3
Trace the river entering western Nigeria.
After looping south through Niger Republic into Nigeria, the river is impounded to form the Kainji Dam Reservoir.
Kainji Lake represents a major middle-course feature in western Nigeria.
4
Locate the major tributary junction in central Nigeria.
Further downstream at Lokoja, the River Niger merges with the Benue River before flowing towards the Gulf of Guinea.
The Lokoja confluence occurs downstream of Kainji in the lower course of the river system.

Key Concept

Sequential drainage flow and geomorphic features of major African rivers
Question 66Question →

Arrange the following stages of coastal deposition and feature evolution in the correct chronological order, from the initial sediment transport mechanism to the final development of a sheltered wetland ecosystem.

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Answer

The correct sequence begins with longshore drift carrying sediment along the coast, followed by the extension of a spit into open water, the curvature of the spit terminus into a hook due to wave refraction, and finally the settlement of fine silt behind the sheltered spit to form a salt marsh.
The formation of a coastal spit and its associated salt marsh follows a strict chronological sequence. Longshore drift first transports sand and shingle along the shoreline. As the sediment reaches an estuary or bay where wave energy drops, deposition occurs, causing a narrow landform (spit) to project into open water. Subsequent wave refraction or prevailing wind shifts curve the tip of the spit inland into a hook. Finally, in the quiet, low-energy water trapped behind the spit, fine silt and mud settle out, eventually colonizing with vegetation to form a salt marsh.

Step-by-Step Solution

1
Identify the primary sediment transport process.
Longshore drift moves littoral material along the coast toward a bay or river mouth.
Beach drift and longshore currents provide the continuous supply of sediment required for depositional landforms.
2
Determine the initial depositional feature formed as wave energy decreases.
A linear spit extends from the mainland out into open water.
When entering deeper, calmer water at a coastline indentation, waves lose energy and deposit their sediment load.
3
Identify how secondary marine forces modify the growing landform.
Wave refraction bends the distal end of the spit inland, forming a hook.
Refracted waves coming from dominant alternative directions alter the orientation of continued accretion at the tip.
4
Determine the final geomorphic and ecological development in the protected area.
Fine mud and organic material accumulate in the sheltered lagoon behind the spit to create a salt marsh.
The spit acts as a breakwater, creating a very low-energy marine micro-environment suitable for fine sediment deposition and halophytic plant colonization.

Key Concept

Coastal Depositional Processes and Spit Evolution
Question 67Question →

Economic integration among trading nations progresses through distinct hierarchical stages, ranging from basic trade privileges to full policy harmonization. What is the correct sequence of these stages of regional trade integration, arranged from the lowest level of integration to the highest level of integration?

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Answer

The correct sequence from lowest to highest degree of regional integration is: Free Trade Area, Customs Union, Common Market, and Economic Union.
Regional economic integration moves systematically from basic reduction of trade barriers to full economic convergence. A Free Trade Area eliminates internal barriers; a Customs Union adds a Common External Tariff; a Common Market enables the free movement of production factors (labor and capital); and an Economic Union harmonizes monetary, fiscal, and regulatory policies.

Step-by-Step Solution

1
Identify the base stage of regional trade cooperation.
Free Trade Area (FTA) is identified as the first stage because member states eliminate internal trade barriers while maintaining individual tariffs on non-members.
It involves the minimum degree of formal commercial policy coordination among member states.
2
Determine the next progression in trade integration.
Customs Union (CU) follows Free Trade Area.
A Customs Union retains internal free trade while introducing a Common External Tariff (CET) against all non-member countries.
3
Identify the expansion into mobility of production factors.
Common Market is placed third in the sequence.
It incorporates all features of a Customs Union while allowing free movement of labor, capital, and services across borders.
4
Locate the highest level of economic policy coordination.
Economic Union is placed as the final and highest stage.
It requires the complete unification and harmonization of monetary, fiscal, and social policies among member nations.

Key Concept

Stages of Regional Economic Integration
Question 68Question →

Arrange the following major Nigerian seaports in geographical sequence along the coast, starting from the westernmost port to the easternmost port:

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Answer

The correct sequence from west to east is Tin Can Island Port (Lagos), Warri Port (Delta State), Port Harcourt Complex (Rivers State), and Calabar Port (Cross River State).
Nigeria's major seaports are aligned along the southern coastline from west to east as follows: Tin Can Island Port in Lagos State occupies the far west; Warri Port in Delta State serves the western Niger Delta; Port Harcourt Complex in Rivers State serves the eastern Niger Delta; and Calabar Port in Cross River State anchors the easternmost maritime outlet near the Cameroonian border.

Step-by-Step Solution

1
Identify the coastal state and longitude of each seaport.
Tin Can Island Port is in Lagos State (west), Warri Port is in Delta State (mid-west), Port Harcourt Complex is in Rivers State (south-east), and Calabar Port is in Cross River State (far east).
Geographical positioning determines the relative longitudinal order along Nigeria's Gulf of Guinea coastline.
2
Position the westernmost port.
Tin Can Island Port in Lagos occupies the westernmost position among the listed ports.
Lagos State forms the western maritime boundary of Nigeria adjacent to the Republic of Benin.
3
Trace eastwards through the Niger Delta ports.
Moving east from Lagos leads first to Warri Port in Delta State, followed by Port Harcourt Complex along the Bonny River in Rivers State.
Delta State lies west of Rivers State along the Niger Delta coast.
4
Identify the easternmost terminus port.
Calabar Port in Cross River State occupies the easternmost position.
Cross River State represents Nigeria's easternmost coastal state bordering Cameroon.

Key Concept

Spatial Distribution of Nigerian Maritime Seaports
Question 69Question →

Agricultural runoff carrying synthetic fertilizers into rivers and lakes causes severe water degradation through eutrophication. Arrange the following stages of eutrophication in the correct sequential order from the initial nutrient influx to the eventual ecological collapse:

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Answer

The correct sequence is: Nutrient enrichment of water bodies by nitrate and phosphate runoff → Rapid proliferation and bloom of algae on the water surface → Aerobic bacterial decomposition of dead organic matter consuming dissolved oxygen → Widespread anoxia leading to massive mortality of fish and aquatic organisms.
Eutrophication begins with the influx of nutrient-rich runoff (nitrates and phosphates). This triggers an explosive growth of algae (algal bloom). When the algae die, aerobic bacteria decompose the organic biomass, depleting the water body's dissolved oxygen. Finally, the resulting oxygen deficiency (anoxia) leads to widespread mortality among aquatic organisms.

Step-by-Step Solution

1
Identify the initial anthropogenic cause of degradation
Agricultural runoff introduces excess nitrates and phosphates into aquatic systems.
Nutrient influx acts as the catalyst for the eutrophication process.
2
Determine the primary biological response to excess nutrients
Algae consume these excess nutrients and multiply exponentially at the surface.
Nitrogen and phosphorus are limiting growth factors for surface algae.
3
Trace the biochemical decay process following algal death
Bacteria break down the massive biomass of dead algae, depleting dissolved oxygen.
Aerobic respiration by decomposers consumes oxygen faster than it can re-aerate from the atmosphere.
4
Establish the ultimate environmental impact on aquatic fauna
Dissolved oxygen levels drop to zero (anoxia), resulting in fish kills.
Fish and macroinvertebrates require minimum levels of dissolved oxygen for survival.

Key Concept

Eutrophication and aquatic degradation sequence
Question 70Question →

During pedogenesis, unweathered bedrock undergoes progressive physical, chemical, and biological transformations over time to produce a mature soil profile. What is the correct chronological sequence of these soil development stages from initial rock breakdown to a fully differentiated profile?

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Answer

The correct chronological sequence of soil development is: (1) Disintegration and chemical alteration of parent bedrock into loose regolith, (2) Establishment of pioneer plant communities and microbial activity, (3) Decomposition of biological residues to form humus and organic-rich topsoil, and (4) Downward leaching of clays and minerals to form distinct subsurface horizons.
Soil formation (pedogenesis) begins with the physical breakdown and chemical weathering of solid bedrock into loose regolith. Once mineral fragments are available, pioneer plants and microbes colonize the substrate. As these organisms die, decomposers convert their residues into humus, enriching the upper surface layer. Over extended periods, rainwater percolates downward, leaching colloidal clay, iron, and soluble salts from the upper layer (eluviation) and depositing them in the subsurface layer (illuviation), culminating in a fully differentiated, mature soil profile.

Step-by-Step Solution

1
Identify the initial physical process in pedogenesis
Weathering of parent bedrock
Parent rock must be broken down by mechanical disintegration and chemical weathering to create raw mineral regolith.
2
Determine the initial biological input
Colonization by pioneer organisms
Pioneer flora such as lichens, mosses, and microorganisms colonize regolith, initiating organic inputs.
3
Identify topsoil formation process
Humic organic matter accumulation
Decaying biomass forms humus, which mixes with mineral particles to construct the A horizon.
4
Identify advanced profile differentiation
Downward translocation and horizonation
Water percolating downward carries fine clays and oxides (eluviation) and deposits them below (illuviation), creating a mature differentiated profile.

Key Concept

Chronological Stages of Pedogenesis (Soil Formation)
Estimated Time:1m 30s
Question 71Question →

Arrange the following vegetation zones of Nigeria in sequential order, starting from the northern border near Lake Chad and proceeding southwards to the Atlantic coast:

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Answer

The correct order from the northern border near Lake Chad southwards to the Atlantic coast is: Sahel Savanna, Sudan Savanna, Guinea Savanna, Tropical Rain Forest, and Mangrove Swamp Forest.
In Nigeria, vegetation distribution follows a latitudinal pattern dictated by decreasing rainfall from south to north. Moving southwards from the Lake Chad region to the Atlantic coastline, one crosses the Sahel Savanna, Sudan Savanna, Guinea Savanna, Tropical Rain Forest, and coastal Mangrove Swamp Forest.

Step-by-Step Solution

1
Identify the northernmost semi-arid vegetation zone.
Sahel Savanna occupies the extreme northeastern and northern border of Nigeria.
This area receives the lowest annual rainfall in Nigeria, supporting desert-fringe shrubland.
2
Sequence the remaining savanna belts southward according to increasing rainfall.
Sudan Savanna comes next, followed southward by the broader Guinea Savanna in central Nigeria.
Mean annual precipitation increases steadily from north to south across the savanna zones.
3
Identify the southern forest and coastal wetland belts.
Tropical Rain Forest covers the southern hinterland, bounded along the coast by Mangrove Swamp Forest.
The heavy equatorial monsoon climate and marine coastal conditions support dense forest and mangrove ecosystems in the south.

Key Concept

Latitudinal zonation of Nigerian vegetation belts corresponding to the south-to-north gradient of decreasing mean annual rainfall.
Question 72Question →

During Earth's annual revolution around the Sun, the subsolar point (the position where the Sun is directly overhead at noon) continuously changes its latitude between the Tropics. Starting from the March equinox when the Sun is directly overhead at the Equator moving northward, arrange the following solar positions in chronological sequence throughout the year.

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Answer

The correct chronological sequence starting from the March equinox is: Sun directly overhead at the Equator moving northward ��� Sun directly overhead at the Tropic of Cancer → Sun directly overhead at the Equator moving southward → Sun directly overhead at the Tropic of Capricorn.
Because Earth's axis is inclined at 23.5∘23.5^\circ to its orbital plane, the overhead position of the noon Sun shifts continuously throughout the year. Starting at the March Equinox (around March 21), the overhead Sun is at the Equator moving northward. It reaches its northernmost boundary at the Tropic of Cancer (23.5∘N23.5^\circ\text{N}) during the June Solstice (around June 21). It then returns southward, crossing the Equator at the September Equinox (around September 23), and finally reaches its southernmost boundary at the Tropic of Capricorn (23.5∘S23.5^\circ\text{S}) during the December Solstice (around December 22).

Step-by-Step Solution

1
Identify the initial position of the overhead Sun at the start of the specified cycle.
The cycle begins at the March Equinox (approx. March 21), when the Sun is overhead at the Equator (0∘0^\circ) heading into the Northern Hemisphere.
The question prompt specifies starting at the March equinox with the subsolar point moving northward.
2
Determine the northernmost limit of the overhead Sun.
Three months later (approx. June 21), the Sun reaches its maximum northern latitude at the Tropic of Cancer (23.5∘N23.5^\circ\text{N}).
Earth's axial tilt of 23.5∘23.5^\circ defines the maximum latitude where the Sun can be directly overhead at noon.
3
Trace the overhead Sun's retreat back across the Equator.
Three months after the June solstice (approx. September 23), the Sun crosses the Equator again, moving southward.
This event is the Autumnal Equinox.
4
Identify the southernmost limit of the overhead Sun.
Three months after the September equinox (approx. December 22), the Sun reaches its maximum southern latitude at the Tropic of Capricorn (23.5∘S23.5^\circ\text{S}).
This event marks the December (Winter) Solstice before the Sun begins moving back north toward the Equator.

Key Concept

Seasonal migration of the subsolar point due to Earth's axial tilt and revolution
Question 73Question →

Arrange the following major Nigerian agricultural crop belts in order of their spatial distribution from South (lowest latitude) to North (highest latitude).

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Answer

The correct sequence from South to North is: Oil Palm and Rubber belt, Cocoa and Cassava belt, Beniseed (Sesame), Yam, and Maize belt, and Groundnut, Sorghum, and Millet belt.
Agricultural crop belts in Nigeria follow a distinct South-to-North latitudinal gradient driven by decreasing annual rainfall and humidity. The Oil Palm and Rubber belt lies in the wet coastal south, followed by the Cocoa belt in the rainforest region, the Beniseed and Yam belt in the central Guinea Savanna (Middle Belt), and finally the Groundnut, Sorghum, and Millet belt in the dry northern Sudan savanna.

Step-by-Step Solution

1
Identify the extreme southern agricultural zone based on ecological requirements.
The Oil Palm and Rubber belt occupies the southernmost humid coastal forest zone.
Tree crops such as oil palm and rubber require heavy, year-round rainfall found along the Niger Delta and southern coast.
2
Identify the rainforest crop zone located just north of the coastal belt.
The Cocoa and Cassava belt dominates the rainforest zone of southwestern Nigeria.
Cocoa thrives in warm, humid forest environments with rich soils north of the coastal mangrove swamps.
3
Identify the central savanna crop region (Middle Belt).
The Beniseed (Sesame), Yam, and Maize belt covers the broad Guinea Savanna zone.
This region has moderate rainfall and a marked dry season, favoring tuber crops like yams alongside cereal grains like maize.
4
Identify the northernmost semi-arid crop zone.
The Groundnut, Sorghum, and Millet belt forms the northernmost agricultural zone.
Drought-tolerant grains and oilseeds adapt well to the low rainfall and long dry season of the Sudan savanna.

Key Concept

Latitudinal agricultural zoning in Nigeria dictated by rainfall decreasing from South to North.
Estimated Time:1m 30s
Question 74Question →

Arrange the following geographic regions in Nigeria in descending order of their average population density, from the highest population density to the lowest population density.

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Answer

The correct descending order of population density is: Anambra-Imo Plateau, Kano Close-Settled Zone, Niger River Valley in the Middle Belt, and Borgu Plains of the Kainji Basin.
Nigeria's population density follows a distinct spatial structure. The Anambra-Imo Plateau in the South-East is the most densely settled region due to heavy commercialization and historical population growth. The Kano Close-Settled Zone in the Sudan Savanna represents a major northern population core owing to fertile hydromorphic soils and intensive trade. The Niger River Valley in the Middle Belt is characterized by low population density due to historical depopulation and vector-borne diseases. The Borgu Plains represent one of the least densely populated zones in Nigeria due to game reserves and poor agricultural potential.

Step-by-Step Solution

1
Identify the region with the highest population density in Nigeria
The Anambra-Imo Plateau in the South-East is identified as the highest density zone (>500 persons/km²).
High agricultural land pressure and commercial hub concentration make the South-East one of the most densely populated areas in West Africa.
2
Identify the prominent northern high-density agricultural zone
The Kano Close-Settled Zone ranks second in density.
Intensive peri-urban agriculture and historical commercial status create a major population cluster in the Sudan Savanna.
3
Identify the sparsely populated Middle Belt zone
The Niger River Valley ranks third, exhibiting low population density.
Physical and historical constraints such as tsetse flies, seasonal inundation, and past slave raiding kept population levels low.
4
Identify the peripheral area with the lowest population density
The Borgu Plains rank lowest in population density.
Poor agricultural soils, forest conservation areas, and remote location contribute to very low human settlement density.

Key Concept

Spatial variation of population density and environmental/historical settlement factors in Nigeria
Question 75Question →

A solid mixture consists of iron filings, ammonium chloride, and sodium chloride. Arrange the following laboratory steps in the correct chronological order to separate each component and isolate pure sodium chloride crystals.

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Answer

The correct separation sequence is: 1. Remove iron filings using a magnet, 2. Sublimate ammonium chloride by heating, 3. Dissolve the residual salt in water and filter, 4. Evaporate the filtrate to collect sodium chloride crystals.
The correct order proceeds from dry physical removal to thermal transformation and finally solution-based separation. First, dry magnetization removes ferromagnetic iron filings without wetting the mixture. Second, thermal heating sublimates volatile ammonium chloride directly into gas, leaving non-volatile sodium chloride behind. Third, adding water dissolves sodium chloride, allowing filtration of insoluble residue. Finally, evaporating the filtrate recovers pure sodium chloride crystals.

Step-by-Step Solution

1
Separate magnetic iron filings from the dry solid mixture using a magnet.
Iron filings are isolated cleanly without interference from liquids.
Magnetization requires dry solid conditions to efficiently attract ferromagnetic materials.
2
Heat the remaining mixture under an inverted funnel to separate ammonium chloride.
Ammonium chloride sublimates into gas and deposits as a pure solid on the cool funnel walls.
Ammonium chloride sublimes easily, whereas sodium chloride has a very high melting and boiling point and remains unaffected.
3
Dissolve the leftover solid residue in distilled water and pass it through filter paper.
Sodium chloride dissolves to form an aqueous filtrate while any insoluble impurities stay on the filter paper.
Water acts as a solvent for sodium chloride to separate it from insoluble solid impurities.
4
Heat the aqueous filtrate until the water completely evaporates.
Pure sodium chloride crystals remain in the evaporating dish.
Evaporation removes the liquid solvent leaving behind the dissolved solute.

Key Concept

Sequential separation of mixtures utilizing magnetization, sublimation, dissolution, filtration, and evaporation based on physical properties.
Question 76Question →

A mixture containing four organic compounds of varying polarities—Compound P (strongly polar), Compound Q (moderately polar), Compound S (weakly polar), and Compound R (non-polar)—is separated using paper chromatography with a polar stationary phase (water bound to cellulose) and a non-polar mobile phase solvent. What is the correct sequence of these compounds when arranged in order of increasing RfR_f value (from smallest RfR_f to largest RfR_f)?

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Answer

Compound P (strongly polar) → Compound Q (moderately polar) → Compound S (weakly polar) → Compound R (non-polar)
In paper chromatography using a polar stationary phase and non-polar mobile phase, retention factor (RfR_f) is inversely related to solute polarity. The strongly polar compound (Compound P) binds most tightly to the polar water molecules on the paper, retarding its movement and giving it the smallest RfR_f value. As compound polarity decreases (Q → S → R), solubility in the non-polar mobile phase increases, allowing the solute to travel further toward the solvent front, resulting in progressively larger RfR_f values.

Step-by-Step Solution

1
Analyze the stationary and mobile phase characteristics.
Stationary phase is polar (water on paper), and mobile phase is non-polar solvent.
Chromatographic separation depends on partitioning between polar and non-polar phases.
2
Determine phase affinities for each compound based on polarity.
Strongly polar compounds adsorb strongly onto the polar stationary phase, while non-polar compounds dissolve preferentially in the non-polar mobile phase.
'Like dissolves like' governs partitioning between stationary and mobile phases.
3
Relate distance traveled to Retention Factor (RfR_f).
Rf=distance traveled by solutedistance traveled by solvent frontR_f = \frac{\text{distance traveled by solute}}{\text{distance traveled by solvent front}}. Solutes that travel further have larger RfR_f values.
Retention factor directly measures relative mobility.
4
Order compounds by increasing RfR_f value.
Compound P (lowest RfR_f) → Compound Q → Compound S → Compound R (highest RfR_f).
Increasing polarity corresponds to decreasing distance traveled in normal-phase paper chromatography.

Key Concept

Partitioning and Retention Factor (RfR_f) in Paper Chromatography
Question 77Question →

A retail merchant in Lagos intends to stock goods from a manufacturing firm in Ibadan. Arrange the following commercial documents in the correct chronological sequence of their issuance, from the initiation of the transaction to its final settlement.

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Answer

The correct chronological order of commercial documents in home trade is: Letter of Inquiry, Quotation, Order, Invoice, and Receipt.
A home trade transaction begins when the prospective buyer sends a Letter of Inquiry to ask about prices and terms. The seller replies with a Quotation containing unit prices, discounts, and delivery terms. After accepting the terms, the buyer sends an Order for the specified goods. Upon dispatching the goods, the seller issues an Invoice outlining the total debt incurred. Finally, when the buyer pays the bill, the seller provides a Receipt as conclusive evidence of payment.

Step-by-Step Solution

1
Identify the document that initiates trade contact.
The Letter of Inquiry is placed first.
Trade transactions begin when a buyer requests information regarding goods, prices, and terms.
2
Identify the document sent by the seller in response to the inquiry.
The Quotation is placed second.
The seller replies to the inquiry by providing specific prices, discounts, and delivery conditions.
3
Identify the buyer's formal purchase commitment.
The Order is placed third.
After evaluating the terms stated in the quotation, the buyer formally requests the goods.
4
Identify the document billing the buyer upon or following dispatch.
The Invoice is placed fourth.
The seller issues an invoice to summarize the goods supplied and state the total debt due for settlement.
5
Identify the final document confirming payment.
The Receipt is placed fifth.
Once the buyer settles the invoice, the seller issues a receipt as proof of payment.

Key Concept

Chronological Sequence of Commercial Documents in Home Trade
Question 78Question →

Arrange the following major stages of cement manufacturing in the correct chronological sequence, from initial raw material handling to the final product stage.

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Answer

The correct sequence of cement production is: Extraction of limestone and clay, Crushing and blending raw meal, Heating in a rotary kiln to produce clinker, and Grinding clinker with gypsum.
Cement manufacturing begins with raw material extraction from quarries (limestone and clay). These raw materials are crushed and blended to form raw meal. The mixture is then calcined in a rotary kiln at temperatures up to 1450 °C to form clinker nodules. Finally, clinker is pulverized with a small quantity of gypsum (to retard flash setting) to produce commercial cement powder.

Step-by-Step Solution

1
Identify raw material acquisition
Quarrying of limestone and clay occurs first.
Industrial processes must start with retrieving raw natural resources from the site.
2
Identify raw material preparation
Crushing and blending limestone and clay into raw meal occurs second.
The raw materials must be homogenized and reduced in size prior to high-temperature reaction.
3
Identify chemical transformation
Rotary kiln heating to form clinker occurs third.
High-temperature calcination converts calcium carbonate to calcium oxide, forming nodules of clinker.
4
Identify final processing and additive mixing
Grinding clinker with gypsum occurs last.
Gypsum is added at the final step to regulate the setting time of the finished cement.

Key Concept

Raw material processing sequence in cement chemical industry
Question 79Question →

A biogeographer is conducting a transect study of Nigerian ecosystems starting at the northern border with Niger Republic (13∘N13^\circ\text{N}) and traveling directly southward to the Atlantic coast (4∘N4^\circ\text{N}). Arrange the following vegetation zones in the correct sequential order from North to South along this transect:

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Answer

The correct order from North to South is: Sahel Savanna, Sudan Savanna, Guinea Savanna, Tropical Rain Forest, and Mangrove Swamp Forest.
Vegetation distribution in Nigeria follows a strict latitudinal pattern corresponding to decreasing annual precipitation and increasing dry season duration from South to North. Starting at the northern border with Niger Republic and moving south toward the Atlantic coast, the transect passes sequentially from the dry Sahel Savanna through the Sudan Savanna, Guinea Savanna, Tropical Rain Forest, and finally into the coastal Mangrove Swamp Forest.

Step-by-Step Solution

1
Identify the extreme northern vegetation belt at the border with Niger Republic.
The Sahel Savanna occupies the extreme northern fringe of Nigeria (12∘N−14∘N12^\circ\text{N} - 14^\circ\text{N}).
It experiences the lowest annual rainfall (<500 mm< 500\text{ mm}) and longest dry season.
2
Identify the sub-northern savanna belt directly south of the Sahel.
The Sudan Savanna forms a wide band across northern Nigeria below the Sahel.
Receives moderate annual rainfall (500 mm−1000 mm500\text{ mm} - 1000\text{ mm}) with a 6 to 8 month dry season.
3
Identify the middle-belt vegetation region.
The Guinea Savanna extends across the central region of Nigeria.
It is the largest vegetation zone in Nigeria, receiving 1000 mm−1500 mm1000\text{ mm} - 1500\text{ mm} of rainfall annually.
4
Identify the humid forest zone in southern Nigeria.
The Tropical Rain Forest lies south of the Guinea Savanna in the southern interior.
It receives high annual rainfall (1500 mm−2500 mm1500\text{ mm} - 2500\text{ mm}) supporting tall, layered tree canopies.
5
Identify the coastal saltwater vegetation fringe.
The Mangrove Swamp Forest borders the Atlantic Ocean along the Niger Delta coast.
It thrives in brackish coastal waters with heavy rainfall (>2500 mm> 2500\text{ mm} per year).

Key Concept

Latitudinal Zonation of Vegetation Belts in Nigeria
Question 80Question →

Arrange the following Nigerian towns in order from SOUTH to NORTH, corresponding to the decrease in mean annual rainfall (starting from the town with the highest mean annual rainfall to the town with the lowest):

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Answer

The correct order from south to north (highest to lowest rainfall) is Calabar, Enugu, Kaduna, and Maiduguri.
Mean annual rainfall in Nigeria decreases consistently from south to north as distance from the Atlantic moisture source increases. Calabar is on the southern coast in the Sub-Equatorial climate zone and receives the highest rainfall (exceeding 3,000 mm). Moving northwards into the Tropical Hinterland zone, Enugu receives around 1,800 mm. Further north in the Tropical Continental (Sudan Savanna) zone, Kaduna receives about 1,200 mm. Maiduguri, located in the far northeast within the Sahel zone, receives the lowest annual rainfall (below 600 mm). Thus, the correct sequence from highest to lowest rainfall (south to north) is Calabar, Enugu, Kaduna, and Maiduguri.

Step-by-Step Solution

1
Understand the climatic control over rainfall distribution in Nigeria
Rainfall in Nigeria is driven by the moist maritime Tropical (mT) air mass from the Atlantic Ocean. Its influence weakens progressively as it moves inland toward the north.
Coastal regions in the south remain under rain-bearing air masses for 9–10 months, whereas northern regions experience shorter wet seasons of 3–5 months.
2
Match each town to its latitudinal position and annual rainfall amount
Calabar (coastal south, >3,000 mm) > Enugu (southern hinterland, ~1,800 mm) > Kaduna (northern savanna, ~1,200 mm) > Maiduguri (far northeast Sahel, <600 mm).
Mean annual rainfall decreases systematically along a South-to-North gradient in Nigeria.
3
Formulate the correct sequence
Calabar → Enugu → Kaduna → Maiduguri
This sequence correctly reflects both the geographic locations from south to north and the corresponding decrease in total annual rainfall.

Key Concept

South-to-North rainfall gradient and climatic zone distribution in Nigeria
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