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Biology
UTME / JAMB 2021
Variation & Genetics (Heredity)
Solution
If both parents are heterozygous for a trait. the probability that an offspring will be recessive for that trait is?
A
1/2
B
1/4
C
1
D
3/4
medium Difficulty
Verified Correct Answer: Option B
Biological Concept & Syllabus Guide
In genetics, when both parents are heterozygous for a trait (Aa), the possible combinations for their offspring can be AA, Aa, aA, or aa. The probability of an offspring being homozygous recessive (aa) is 1 out of 4, or 1/4. So, the correct answer is '1/4'.
If both parents are heterozygous for a trait, the probability that an offspring will be recessive for that trait is 25%. When both parents are heterozygous (meaning they carry both the dominant and recessive alleles), there is a 1 in 4 chance that an offspring will inherit two recessive alleles and express the recessive phenotype.
Heterozygous: An individual carrying both a dominant and a recessive allele for a trait.
Recessive trait: A trait that is only expressed when an individual inherits two copies of the recessive allele.
Source: Myschool Past Questions Archive (Record #60953)
Biology
UTME / JAMB 2021
Transport System in Plants & Animals
Solution
Blood circulation in a mammal is said to be double because?
A
it passes twice through the heart in a complete circuit
B
it moves in both arteries and veins
C
it circulates in both the heart and other organs
D
the heart contains auricles and ventricles
medium Difficulty
Verified Correct Answer: Option A
Biological Concept & Syllabus Guide
It is called a double circulatory system because blood passes through the heart twice per circuit.
Source: Myschool Past Questions Archive (Record #60955)
Biology
UTME / JAMB 2021
Variety of Organisms & Classification of Living Things
Solution
Mass of a crucible = 10g,
Mass of a crucible and soil before heating =29g
Mass of a crucible and soil after heating = 18g
From the information above, determine the percentage of water in the given soil sample?
A
20%
B
25%
C
40%
D
60%
medium Difficulty
Verified Correct Answer: Option D
Biological Concept & Syllabus Guide
From the information given:
Mass of crucible = 10g
Mass of crucible + soil before heating = 29g
Mass of soil before heating = 29 - 10 = 19g
Mass of a crucible + soil after heating = 18g
Mass of soil after heating = 18 - 10 = 8g
Mass of water loss = 19 - 8 = 11g
% of water loss = \(\frac{mass of water loss}{Total mass of soil}\times 100\)
= \(\frac{11}{19}\times 100\)
= 57.89%
From the options provided, the closest answer is 60%
Source: Myschool Past Questions Archive (Record #60936)
Biology
UTME / JAMB 2021
Excretion & Homeostasis
Solution
I. Stomata --> Spirogyra
II. Alveoli --> Earthworm
III. Malpighian tubule -> Mammal
IV. Contractile vacuole -> Protozoa
Which of the above structures is correctly matched with the organisms in which it is found?
A
II
B
I
C
IV
D
III
medium Difficulty
Verified Correct Answer: Option C
Biological Concept & Syllabus Guide
Stomata allow a plant to take in carbon dioxide, which is needed for photosynthesis. They also help to reduce water loss.
The alveoli are where the lungs and the blood exchange oxygen and carbon dioxide during the process of breathing in and breathing out.
The Malpighian tubules are tubular structures that are free floating in the haemolymph and function as excretory and osmoregulatory organs of insects.
Contractile vacuoles (in the cells of the lower organisms) protect a cell from absorbing too much water and potentially exploding by excreting excess water.
Source: Myschool Past Questions Archive (Record #60940)
Biology
UTME / JAMB 2021
Respiration & Gaseous Exchange
Solution
The sequence of the one-way gaseous exchange mechanism in a fish is?
A
mouth --> operculum -> gills
B
mouth -> gills > operculum
C
operculum > gills -> mouth
D
gills -> operculum --> mouth
medium Difficulty
Verified Correct Answer: Option B
Biological Concept & Syllabus Guide
Fish exchange gases by pulling oxygen-rich water through their mouths and pumping it over their gills. In some fishes, capillary blood flows in the opposite direction to the water, causing counter-current exchange. The gills push the oxygen-poor water out through openings in the sides(opercula) of the pharynx.
Source: Myschool Past Questions Archive (Record #60943)
Biology
UTME / JAMB 2021
Variation & Genetics (Heredity)
Solution
Which of the following is true in blood transfusion?
A
A person of blood group AB can donate blood only to another person of blood group AB
B
Persons of blood groups A and B can donate or receive blood from each other
C
A person of blood group AB can receive blood only from persons of blood group A or B
D
A person of blood group O can donate only to a person of blood group O
medium Difficulty
Verified Correct Answer: Option A
Biological Concept & Syllabus Guide
People with type AB+ blood are universal recipients because they have no antibodies to A, B or Rh in their blood and can receive red blood cells from a donor of any blood type.
Donors with blood type AB can donate to recipients with blood type AB only.
Source: Myschool Past Questions Archive (Record #60944)
Biology
UTME / JAMB 2021
Population Ecology, Habitats & Conservation
Solution
The plants that grow in deserts or very dry areas are referred to as?
A
hydrophytes
B
epiphytes
C
xerophytes
D
mesophytes
medium Difficulty
Verified Correct Answer: Option C
Biological Concept & Syllabus Guide
Plants that live in water and adapt to their environment are known as hydrophytes.
Epiphyte, also called air plant, any plant that grows upon another plant or object merely for physical support.
Plants that grow in dry habitat are called xerophytes.
Mesophytes are terrestrial plants which are neither adapted to particularly dry nor particularly wet environments.
Source: Myschool Past Questions Archive (Record #60946)
Mathematics
UTME / JAMB 2020
Number Bases & Modular Arithmetic
Solution
Evaluate (212)\(_3\) - (121)\(_3\) + (222)\(_3\)
A
(313)\(_3\)
B
(1000)\(_3\)
C
(1020)\(_3\)
D
(1222)\(_3\)
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
Evaluate (212)\(_3\) - (121)\(_3\) + (222)\(_3\)
(212)\(_3\) + (222)\(_3\) = 1211\(_3\)
→ 1211\(_3\) - 121\(_3\)
= 1020\(_3\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #56726)
Mathematics
UTME / JAMB 2020
Algebraic Expressions, Polynomials & Factorisation
Solution
Find the gradient of the line passing through the points (-2, 0) and (0, -4)
A
2
B
-4
C
-2
D
4
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
Given (-2, 0) ans (0, -4).
Gradient = \(\frac{y_2 - y_1}{x_2 - x_1}\)
= \(\frac{-4 - 0}{0 - (-2)}\)
= \(\frac{-4}{2}\)
= -2
Source: WAEC / JAMB / NECO Classroom Archive (Record #56801)
Physics
UTME / JAMB 2020
Temperature, Thermometry & Thermal Expansion
Solution
Two divers G and H are at depths 20m and 40m, respectively below the water surface in a lake. The pressure on G is p\(_1\) while the pressure on H is P\(_2\), If the atmospheric pressure is equivalent to 10m of water, then the value of P\(_2\)/P\(_1\) is?
A
0.50
B
0.60
C
1.67
D
2.00
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Atmospheric pressure equivalence of 10m of water
: \(\frac{p_2+10}{p_1+10}\)
= \(\frac{40+10}{20+10\)
= \(\frac{50}{30}\) = 1.67
Source: WAEC / JAMB / NECO Classroom Archive (Record #56921)
Physics
UTME / JAMB 2020
Waves, Sound & Vibrations
Solution
If a source of solid is moving, a stationary listener will hear a sound of different frequency. This is called?
A
doppler effect
B
resonance
C
ultra sound
D
rarefaction
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
The Doppler effect or Doppler shift is the change in frequency of a wave in relation to an observer who is moving relative to the wave source.
The drop in pitch of ambulance sirens as they pass by and the shift in red light are common examples of the Doppler Effect.
Source: WAEC / JAMB / NECO Classroom Archive (Record #56901)
Chemistry
UTME / JAMB 2020
Stoichiometry, Mole Concept & Volumetric Analysis
Solution
The number of molecules of Carbon(iv)Oxide produced when 10.0g of CaCO\(_3\) is treated with 0.2dm\(^3\) of 1 Mole of HCL in the equation
CaCO\(_3\) + 2HCL ⇒ CaCl\(_2\) + H\(_2\) O + CO\(_2\) , is?
A
1.00 X 10\(^{23}\)
B
6.02 X 10\(^{23}\)
C
6.02 X 10\(^{22}\)
D
6.02 X 10\(^{24}\)
medium Difficulty
Verified Correct Answer: Option C
Chemical Principles & Mechanism
1 mole of CaCO\(_3\) = 100g or 6.02 X 10\(^{23}\)
liberated 1 mole of CO\(_2\) or 44g or 6.02 X 10\(^{23}\)
:100g = 6.02 X 10\(^{23}\)
10g of CaCO\(_3\) = x
cross multiply
[10g X 6.02 X 10\(^{23}\)] / 100g = x
⇒ x = 6.02 X 10\(^{22}\)
Since
6.02 X 10\(^{23}\) of CaCO\(_3\) liberated 6.02 X 10\(^{23}\) of CO\(_2\)
⇒ 6.02 X 10\(^{22}\) of CaCO\(_3\) will liberate 6.02 X 10\(^{22}\) of CO\(_2\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #56769)
Physics
UTME / JAMB 2020
Elasticity, Density, Pressure & Fluids
Solution
A few grains of table salt were put in a cup of cold water, kept at constant temperature and left undistributed. Eventually all the water tested salty. This action is due to?
A
convection
B
osmosis
C
capillarity
D
diffusion
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Diffusion is the tendency of molecules to migrate and fill an empty space due to their random thermal motions.
in diffusion, the diffusing molecules move from the places where their concentration high to places where their concentration is low.
Source: Myschool Past Questions Archive (Record #56890)
Physics
UTME / JAMB 2020
Circular Motion, Gravitation & Simple Harmonic Motion
Solution
The force required to make an object of mass m, travelling with velocity v, turn in a circle of radius r is
A
\(\frac{mv^2}{r}\)
B
\(\frac{mr^2}{x}\)
C
\(\frac{mr}{v}\)
D
\(\frac{mv}{r^2}\)
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
The force required to make an object of mass \( m \), traveling with velocity \( v \), turn in a circle of radius \( r \) is known as the \textbf{centripetal force}. The formula for centripetal force \( F_c \) is given by: \(F_c = \frac{mv^2}{r}\)
where:\( m \) = mass of the object, \( v \) = velocity of the object, \( r \) = radius of the circular path.
Source: Myschool Past Questions Archive (Record #56891)
Physics
UTME / JAMB 2020
Current Electricity & Electric Circuits
Solution
A machine gun with a mass of 5kg fires a 50g bullet at a speed of 100 ms\(^{-1}\). The recoil speed of the machine gun is
A
0.5 ms\(^{-1}\)
B
1.5 ms\(^{-1}\)
C
1 ms\(^{-1}\)
D
2ms\(^-1\)
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Gun Momentum = bullet momentum
M\(_a\)V\(_a\) = M\(_b\)V\(_b\)
5 x V\(_a\) = 0.05 x 100
V\(_a\) = 1m\(^{-1}\)
Source: Myschool Past Questions Archive (Record #56892)