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English Language
UTME / JAMB 2024
English Grammar
Solution
Choose the most appropriate stress pattern from the options. The stressed syllables are written in capital letters.
Informative
A
inFORmative
B
informaTIVE
C
INformative
D
inforMAtive
medium Difficulty
Verified Correct Answer: Option A
Grammar & Contextual Explanation
For polysyllabic words that end in -ive, the stress is usually placed on the antepenultimate syllable. Therefore, in the word "informative", the stress should be placed on "for".
Source: Myschool Past Questions Archive (Record #70557)
English Language
UTME / JAMB 2024
English Grammar
Solution
The word in capital letters has the emphatic stress. Choose the option to which the given sentence relates.
The PRODUCT was rejected as fake.
A
Was the product accepted?
B
Was the product rejected though genuine?
C
Was the product faked?
D
Was the produce rejected as fake?
medium Difficulty
Verified Correct Answer: Option D
Grammar & Contextual Explanation
Emphatic stress is the placement of greater stress on a particular word or group of words in an utterance. This is usually done for emphasis or clarification. The question requires you to find the question that relates to the sentence given. The sentence is meant to clarify an error that was made in this question. The emphasised word, therefore, should be different in the question. This is why the answer is option D. "Was the produce rejected as fake?" No, "The PRODUCT was rejected as fake."
Source: Myschool Past Questions Archive (Record #70558)
English Language
UTME / JAMB 2024
English Grammar
Solution
The word in capital letters has the emphatic stress. Choose the option to which the given sentence relates.
The PRODUCT was rejected as fake.
A
Was the product accepted?
B
Was the product rejected though genuine?
C
Was the product faked?
D
Was the produce rejected as fake?
medium Difficulty
Verified Correct Answer: Option D
Grammar & Contextual Explanation
Emphatic stress is the placement of greater stress on a particular word or group of words in an utterance. This is usually done for emphasis or clarification. The question requires you to find the question that relates to the sentence given. The sentence is meant to clarify an error that was made in this question. The emphasised word, therefore, should be different in the question. This is why the answer is option D. "Was the produce rejected as fake?" No, "The PRODUCT was rejected as fake."
Source: Official Exam / Past Question Archive
Mathematics
UTME / JAMB 2024
Algebra
Solution
Given P = \(\begin{bmatrix}1 & 2\\2 & 3\end{bmatrix}\), find P\(^2\) - 4P - I where I is the identity matrix
A
\(\begin{bmatrix}1 & 0\\0 & 1\end{bmatrix}\)
B
\(\begin{bmatrix}0 & 0\\0 & 0\end{bmatrix}\)
C
\(\begin{bmatrix}-1 & 0\\0 & -1\end{bmatrix}\)
D
\(\begin{bmatrix}0 & 1\\1 & 0\end{bmatrix}\)
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
Given the matrix
\(P = \begin{bmatrix} 1 & 2 \\ 2 & 3 \end{bmatrix},\)
we want to find \( P^2 - 4P - I \), where \( I \) is the identity matrix:
\(I = \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}.\)
Calculate {\( P^2 \)}
\(P^2 = P \times P = \begin{bmatrix} 1 & 2 \\ 2 & 3 \end{bmatrix} \times \begin{bmatrix} 1 & 2 \\ 2 & 3 \end{bmatrix} = \begin{bmatrix} 5 & 8 \\ 8 & 13 \end{bmatrix}.\)
Calculate {\( 4P \)}
\(4P = 4 \times \begin{bmatrix} 1 & 2 \\ 2 & 3 \end{bmatrix} = \begin{bmatrix} 4 & 8 \\ 8 & 12 \end{bmatrix}\)
Calculate {\( P^2 - 4P \)}
\(P^2 - 4P = \begin{bmatrix} 5 & 8 \\ 8 & 13 \end{bmatrix} - \begin{bmatrix} 4 & 8 \\ 8 & 12 \end{bmatrix} = \begin{bmatrix} 5 - 4 & 8 - 8 \\ 8 - 8 & 13 - 12 \end{bmatrix} = \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}\)
Calculate {\( P^2 - 4P - I \)}
\(P^2 - 4P - I = \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix} - \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix} = \begin{bmatrix} 0 & 0 \\ 0 & 0 \end{bmatrix}\)
Thus, the result of \( P^2 - 4P - I \) is
\(\begin{bmatrix} 0 & 0 \\ 0 & 0 \end{bmatrix}\)
Source: Myschool Past Questions Archive (Record #70327)
Mathematics
UTME / JAMB 2024
Geometry and Trigonometry
Solution
If tan\(\theta\) = \(\frac{8}{15}\), simplify \(\frac{ Sin\theta - Cos\theta}{Sin^2\theta - Sin\theta}\)
A
\(\frac{-119}{72}\)
B
\(\frac{119}{72}\)
C
\(\frac{-7}{17}\)
D
\(\frac{8}{17}\)
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
Given \(\tan \theta = \frac{8}{15}\)
\(\sin \theta = \frac{8}{17}, \quad \cos \theta = \frac{15}{17}\) from pythagora's theorem.
To find \(\frac{\sin \theta - \cos \theta}{\sin^2 \theta - \sin \theta}\)
Numerator → \(\sin \theta - \cos \theta = \frac{8}{17} - \frac{15}{17} = \frac{-7}{17}\)
Denominator → \(\sin^2 \theta = \left(\frac{8}{17}\right)^2 = \frac{64}{289}, \quad \sin^2 \theta - \sin \theta = \frac{64}{289} - \frac{136}{289} = \frac{-72}{289}\)
\(\frac{\frac{-7}{17}}{\frac{-72}{289}} = \frac{7 \times 289}{17 \times 72} = \frac{119}{72}\)
Source: Myschool Past Questions Archive (Record #70347)
Mathematics
UTME / JAMB 2024
Number and Numeration
Solution
Make q the subject of the relation t = \(\sqrt{(\frac{pq}{r} - r^2q)}\)
A
q = \(\frac{rt^2}{p - r^3}\)
B
q = \(\frac{p - r^3}{rt^2}\)
C
q = \(\frac{t^2}{p - r^3}\)
D
q = \(\frac{rt}{p - r^3}\)
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
t = \(\sqrt{(\frac{pq}{r} - r^2q)}\)
Take the square of both sides
t\(^2\) = \(\frac{pq}{r}\) - r\(^2\)q
t\(^2\) = \(\frac{pq - r^3q}{r}\)
cross multiply
rt\(^2\) = pq - r\(^3\)q = q(p - r\(^3\))
q = \(\frac{rt^2}{p - r^3}\)
Source: Myschool Past Questions Archive (Record #71529)
Mathematics
UTME / JAMB 2024
Number and Numeration
Solution
(\(\sqrt{a} +\sqrt{8a})^2\) = 54 + b\(\sqrt{2}\), a and b are positive integers. Find the value of a and the value of b.
A
a = 24, b = 6
B
a = 6, b = 2
C
a = 6, b = 24
D
a = 2, b = 6
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
(\(\sqrt{a} +\sqrt{8a})^2\) = 54 + b\(\sqrt{2}\)
(\(\sqrt{a} + \sqrt{8a}\))(\(\sqrt{a} + \sqrt{8a}\))
a + 4a\(\sqrt{2} + 8a = 54 + b\sqrt{2}\)
9a + 4a\(\sqrt{2}\) = 54 + b\(\sqrt{2}\)
comparing both sides
9a = 54, so that a = 6
4a = b
b = 4 x 6 = 24.
Source: Myschool Past Questions Archive (Record #71530)
Biology
UTME / JAMB 2024
Science of Living Things
Solution
Inbreeding is highly discouraged in humans because it may
A
increase the death rate of new born
B
lead to the birth of dwarfs
C
lead to high rate of competition among offspring
D
lead to outbreak of hereditary diseases
medium Difficulty
Verified Correct Answer: Option D
Biological Concept & Syllabus Guide
Inbreeding is the mating of organisms that are more closely related than would normally occur in nature. This can include mating between siblings, parents and children, or first cousins. Studies have confirmed an increase in several genetic disorders due to inbreeding such as blindness, hearing loss, neonatal diabetes, limb malformations, disorders of sex development, schizophrenia and several others. In adults, inbreeding can lead to deafness, visual impairment, and mental deficiency.
Source: Official Exam / Past Question Archive
Biology
UTME / JAMB 2024
Science of Living Things
Diagram
Solution
Use the diagram above to answer the question that follows
The organism belongs to kingdom
Attached Figure / Diagram
A
monera
B
protista
C
fungi
D
animalia
medium Difficulty
Verified Correct Answer: Option A
Biological Concept & Syllabus Guide
The diagram is that of the virus. Viruses are obligate parasites, meaning they can't produce their own energy or proteins. They enter the host cell and use the cell's machinery to make their own nucleic acids and proteins. Viruses also use the host cell's lipids and sugar chains to create their membranes and glycoproteins. This parasitic replication can severely damage the host cell, which can lead to disease or cell death. They usually enter your body through your mucous membranes. These include your eyes, nose, mouth, penis, vagina and anus.
Viruses are a unique type of organism that are not plants, animals, or bacteria. They are often classified in their own kingdom. However, for the sake of the question, since most of their attributes and metabolic activities are more of the bacteria, we'll go with option A - Monera
Source: Official Exam / Past Question Archive
Biology
UTME / JAMB 2024
Science of Living Things
Solution
The major building block of an organism is...
A
Nitrogen
B
Carbon
C
Water
D
Sulphur
medium Difficulty
Verified Correct Answer: Option B
Biological Concept & Syllabus Guide
Carbon is the primary building block of life on Earth.Carbon can form stable, complex molecules with other elements, especially hydrogen, oxygen, and nitrogen.
Carbon-based molecules are the basis for life in all living organisms, including humans. These molecules include nucleic acids, carbohydrates, lipids, cells, and proteins. It is considered the major building block of organisms because of its unique ability to form stable bonds with many different elements, including itself, allowing it to create complex, diverse, and large molecules necessary for life, like proteins, carbohydrates, and nucleic acids, which are the foundation of all living things.
Source: Myschool Past Questions Archive (Record #69867)
Biology
UTME / JAMB 2024
Science of Living Things
Solution
The process by which plants loss water to the atmosphere is
A
transpiration
B
guttation
C
translocation
D
evaporation
medium Difficulty
Verified Correct Answer: Option A
Biological Concept & Syllabus Guide
The process by which plants lose water to the atmosphere is called transpiration.
Transpiration is the process by which plants release water into the atmosphere as water vapour. It occurs through stomata, which are tiny pores on the surface of leaves that allow plants to exchange gases with the atmosphere. Transpiration also occurs through evaporation from the surfaces of leaves, stems, and flowers. Guttation also involves water loss but there is difference between the two.
Transpiration is the process where plants lose water vapour through tiny pores called stomata on their leaves, while guttation is the release of liquid water droplets from specialized structures called hydathodes, usually located on the edges of leaves, occurring when the plant absorbs water faster than it can transpire, creating a pressure that forces the water out; essentially, transpiration is water loss as vapour, and guttation is water loss as liquid droplets.
Translocation is the process by which plants move dissolved materials, like sugars and nutrients, throughout the plant.
Evaporation" in plants refers to the process called transpiration, where water absorbed by the plant roots travels through the plant's vascular system and exits as water vapour through tiny pores on the leaves called stomata.
Source: Myschool Past Questions Archive (Record #69868)
Biology
UTME / JAMB 2024
Science of Living Things
Solution
Mouth part adapted for piercing and sucking is found in
A
housefly
B
grasshopper
C
mosquito
D
cockroach
medium Difficulty
Verified Correct Answer: Option C
Biological Concept & Syllabus Guide
The housefly has a sponging and sucking type of mouthpart, meaning it absorbs liquid food by essentially "lapping" it up with its spongy labellum, not piercing to suck like a mosquito does.
Grasshopper has a biting and chewing type of mouthpart, which is used to process solid foods like grass and leaves.
Piercing and sucking mouth parts are found in insects such as mosquitoes, lice, fleas, bedbugs, and stinkbugs.These insects have mouth parts that are adapted for piercing the skin of animals and plants to suck up blood and plant juice.
Major insect groups that have chewing mouthparts include the cockroaches and grasshoppers, most wasps, beetles, termites and caterpillars. Insects with piercing-sucking mouthparts include some flies (think mosquitoes), fleas, true bugs and their relatives.
Source: Myschool Past Questions Archive (Record #69888)
Biology
UTME / JAMB 2024
Science of Living Things
Solution
The web-feet of frogs and toads is basically for
A
leaping
B
walking
C
swimming
D
mating
medium Difficulty
Verified Correct Answer: Option C
Biological Concept & Syllabus Guide
The webbed feet of frogs and toads help them swim and move through water.The thin layer of skin that connects the toes of frogs and toads increases the surface area of their feet, allowing them to push against the water more effectively. This helps them move quickly through the water to chase food or escape predators.
Source: Myschool Past Questions Archive (Record #69890)
Biology
UTME / JAMB 2024
Science of Living Things
Solution
The part of the inner ear that is responsible for hearing is
A
sacculus
B
cochlea
C
utriculus
D
ampullae
medium Difficulty
Verified Correct Answer: Option B
Biological Concept & Syllabus Guide
The sacculus is a sensory organ located in the inner ear that primarily functions to detect vertical linear acceleration, meaning it senses movement in the up and down direction, like when you're in an elevator, and helps maintain balance by providing information about your head's position relative to gravity; essentially, it tells your brain if your head is tilting forward or backward.
The cochlea is the part of the inner ear that is responsible for hearing.
The cochlea is a snail-shaped organ filled with fluid that contains the organ of Corti, which is made up of tiny hair cells that line the cochlea. When sound enters the ear, it causes the fluid in the cochlea to vibrate, which makes the hair cells vibrate and send electrical impulses to the brain. The brain perceives these electrical signals as sound.
The utriculus, located in the inner ear, functions as a sensory organ that detects linear acceleration and head position in the horizontal plane, essentially sensing side-to-side tilting movements of the head, contributing to our sense of balance by providing information about static equilibrium.The inner ear also contains the semicircular canals, which are responsible for balance. The semicircular canals are filled with fluid and have calcium crystals embedded in their lining.
The function of the ampullae in the ear is to detect head rotation by sensing the movement of fluid within the semicircular canals, sending signals to the brain regarding angular acceleration and deceleration of the head, essentially contributing to balance perception.
Source: Myschool Past Questions Archive (Record #69891)
Biology
UTME / JAMB 2024
Science of Living Things
Solution
The changes of living organisms over generation is referred to as
A
human evolution
B
organic evolution
C
physical evolution
D
chemical evolution
medium Difficulty
Verified Correct Answer: Option B
Biological Concept & Syllabus Guide
Human evolution is the process by which humans evolved from ape-like ancestors over millions of years. This process resulted in the development of physical and behavioral traits that all humans share today.
Organic evolution is the theory that all living organisms have evolved from pre-existing species, and that the differences between organisms are due to changes in their genetic makeup over generations. Organic evolution, also known as biological evolution, is the gradual process by which living organisms change over time. It's the theory that all species are descended from common ancestors, and that the differences between them are due to changes in their genetic makeup over generations.
Physical evolution" refers to the process by which the physical characteristics of an organism change over generations, primarily due to changes in its genetic makeup, resulting in adaptations to its environment, often manifested in alterations to body shape, size, and function of different body parts; essentially, it's the observable physical manifestation of biological evolution at the organism level.
Source: Myschool Past Questions Archive (Record #69893)