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Biology
UTME / JAMB 2022
Science of Living Things
Solution
The sum total of all observable features of an organism is?
A
phenotype
B
heterozygous
C
genotype
D
homozygous
medium Difficulty
Verified Correct Answer: Option A
Biological Concept & Syllabus Guide
Phenotype refers to an individual's observable traits, such as height, eye color and blood type.
A person's phenotype is determined by both their genomic makeup (genotype) and environmental factors.
Source: Myschool Past Questions Archive (Record #64640)
Biology
UTME / JAMB 2022
Science of Living Things
Solution
Pentadactyl plan of the fore limbs of frog, bird, horse, whale and man is a proof of?
A
spontaneous generation
B
evolution
C
locomotion
D
creation
medium Difficulty
Verified Correct Answer: Option B
Biological Concept & Syllabus Guide
The limbs of crocodiles, birds, whales, horses, bats and humans all look very different they share the same five fingered bone structure.
This provides evidence for the theory of evolution .
Source: Myschool Past Questions Archive (Record #64642)
Biology
UTME / JAMB 2022
Science of Living Things
Solution
The under secretion of thyroxine in children results in?
A
goitre
B
gigantism
C
kwashiorkor
D
cretinism
medium Difficulty
Verified Correct Answer: Option D
Biological Concept & Syllabus Guide
Congenital hypothyroidism, previously known as cretinism, is a severe deficiency of thyroid hormone in newborns.
It causes impaired neurological function, stunted growth, and physical deformities
Source: Myschool Past Questions Archive (Record #64644)
Biology
UTME / JAMB 2022
Science of Living Things
Solution
Petaloid sepals serve the function of?
A
carrying out photosynthesis
B
attracting pollinating agents to a flower
C
retaining pollen grains in the corolla tubes
D
protecting the inner floral parts of the flower
medium Difficulty
Verified Correct Answer: Option B
Biological Concept & Syllabus Guide
Petaloid sepals, which are sepals that resemble and function like petals, primarily attract pollinators. These modified sepals are often colourful and take on the role of petals in attracting insects, birds, or other animals that facilitate pollination.
Source: Myschool Past Questions Archive (Record #64645)
Biology
UTME / JAMB 2022
Science of Living Things
Solution
The system of classification in which there are seven hierarchies from kingdom to species was introduced by?
A
Felix Dujardin
B
Carolus Linneus
C
Theodore Schwann
D
Charles Darwin
medium Difficulty
Verified Correct Answer: Option B
Biological Concept & Syllabus Guide
Carolus Linnaeus is the father of taxonomy, which is the system of classifying and naming organisms.
One of his contributions was the development of a hierarchical system of classification of nature.
Today, this system includes eight taxa: domain, kingdom, phylum, class, order, family, genus, and species.
Source: Myschool Past Questions Archive (Record #64647)
Biology
UTME / JAMB 2022
Science of Living Things
Solution
An adaptive feature of camel to the desert is?
A
ability to increase sweat production
B
ability to pass high amount of urine
C
ability to tolerate low degree of dehydration
D
ability to tolerate high degree of dehydration
medium Difficulty
Verified Correct Answer: Option D
Biological Concept & Syllabus Guide
The hump present in the camel helps them travel long periods without water to survive in the desert's harsh conditions.
Thus the hump acts as a fat reserve or an energy reserve.
Source: Myschool Past Questions Archive (Record #64648)
Biology
UTME / JAMB 2022
Science of Living Things
Diagram
Solution
The part labelled II is?
Attached Figure / Diagram
A
pellicle
B
cytoplasmic connections
C
flagella
D
cells
medium Difficulty
Verified Correct Answer: Option B
Biological Concept & Syllabus Guide
Similar cytoplasmic bridges link the cells of all volvocacean embryos.
I.e neighboring cells are often joined together by strands of cytoplasm.
Source: Myschool Past Questions Archive (Record #64651)
Biology
UTME / JAMB 2022
Science of Living Things
Diagram
Solution
The organism above is?
Attached Figure / Diagram
A
chlamydomonas
B
algae
C
volvox
D
euglena
medium Difficulty
Verified Correct Answer: Option C
Biological Concept & Syllabus Guide
Volvox is a polyphyletic genus of chlorophyte green algae in the family Volvocaceae. It forms spherical colonies of up to 50,000 cells.
Its plant body is coenobium and consists of large number of biflagellate, pear-shaped cells.
Source: Myschool Past Questions Archive (Record #64652)
Biology
UTME / JAMB 2022
Science of Living Things
Solution
One of the functions of water in seed germination is to?
A
dilute the embryo
B
make the soil wet and soft
C
activate the enzymes
D
promote aerobic respiration
medium Difficulty
Verified Correct Answer: Option C
Biological Concept & Syllabus Guide
The water activates special proteins, called enzymes, that begin the process of seed growth.
Source: Myschool Past Questions Archive (Record #65779)
Mathematics
UTME / JAMB 2021
Algebra
Solution
A car travels from calabar to Enugu, a distance of P km with an average speed of U km per hour and continues to benin, a distance of Q km, with an average speed of Wkm per hour. Find its average speed from Calabar to Benin
A
\(\frac{(p + q)}{pw + qu}\)
B
\(\frac{uw(p + q)}{pw + qu}\)
C
\(\frac{uw(p + q)}{pw}\)
D
\(\frac{uw}{pw + qu}\)
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
Average speed = \(\frac{total Distance}{Total Time}\)
from Calabar to Enugu in time t1, hence
t1 = \(\frac{P}{U}\)
Also from Enugu to Benin
t2 \(\frac{q}{w}\)
Av. speed = \(\frac{p + q}{t_1 + t_2}\)
= \(\frac{p + q}{p/u + q/w}\)
= p + q x \(\frac{uw}{pw + qu}\)
= \(\frac{uw(p + q)}{pw + qu}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #60711)
Mathematics
UTME / JAMB 2021
Algebra
Solution
factorize m\(^3\) - m\(^2\) + 2m - 2
A
(m2 + 1)(m - 2)
B
(m - 1)(m + 1)(m + 2)
C
(m - 2)(m + 1)(m - 1)
D
(m2 + 2)(m - 1)
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
Using the trial expansion of each option
(m\(^2\) + 2) (m - 1)
OR
Group the terms
(\(m^3 - m^2\)) + ( 2m - 2)
\(m^2\)(m - 1) + 2(m - 1)
(m-1)(\(m^2\) + 2)
Source: WAEC / JAMB / NECO Classroom Archive (Record #60716)
Mathematics
UTME / JAMB 2021
Algebra
Solution
Factorize completely 81a\(^4\) - 16b\(^4\)
A
(3a + 2b)(2a - 3b)(9a2 + 4b2)
B
(3a - 2b)(2a - 3b)(4a2 - 9b2)
C
(3a - 2b)(3a + 2b)(9a2 + 4b2)
D
(6a - 2b)(8a - 3b)(4a3 - 9b2)
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
81a\(^4\) - 16b\(^4\) = (9a\(^2\))\(^2\) - (4b\(^2\))\(^2\)
= (9a\(^2\) + 4b\(^2\))(9a\(^2\) - 4b\(^2\))
N:B 9a\(^2\) - 4b\(^2\) = (3a - 2b)(3a + 2b)
Source: WAEC / JAMB / NECO Classroom Archive (Record #60729)
Mathematics
UTME / JAMB 2021
Algebra
Solution
A group of market women sell at least one of yam, plantain and maize. 12 of them sell maize, 10 sell yam and 14 sell plantain. 5 sell plantain and maize, 4 sell yam and maize, 2 sell yam and plantain only while 3 sell all the three items. How many women are in the group?
A
25
B
19
C
18
D
17
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
Let the three items be M, Y and P.
n{M ∩ Y} only = 4-3 = 1
n{M ∩ P) only = 5-3 = 2
n{ Y ∩ P} only = 2
n{M} only = 12-(1+3+2) = 6
n{Y} only = 10-(1+2+3) = 4
n{P} only = 14-(2+3+2) = 7
n{M∩P∩Y} = 3
Number of women in the group = 6+4+7+(1+2+2+3) as above =25 women.
Source: WAEC / JAMB / NECO Classroom Archive (Record #60736)
Mathematics
UTME / JAMB 2021
Algebra
Solution
If (x + 2) and (x - 1) are factors of the expression \(Lx + 2kx^{2} + 24\), find the values of L and k.
A
l = -12, k = -6
B
l = -2 , k = 1
C
l = -2 , k = -1
D
l = 0, k = 1
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
Given (x + 2) and (x - 1), i.e. x = -2 or +1
when x = -2
L(-2) + 2k(-2)\(^2\) + 24 = 0
f(-2) = -2L + 8k = -24...(i)
And x = 1
L(1) + 2k(1) + 24 = 0
f(1):L + 2k = -24...(ii)
Subst, L = -24 - 2k in eqn (i)
-2(-24 - 2k) + 8k = -24
+48 + 4k + 8k = -24
12k = -24 - 48 = -72
k = \(frac{-72}{12}\)
k = -6
where L = -24 - 2k
L = -24 - 2(-6)
L = -24 + 12
L = -12
That is; K = -6 and L = -12
Source: WAEC / JAMB / NECO Classroom Archive (Record #60739)
Mathematics
UTME / JAMB 2021
Geometry and Trigonometry
Solution
P(-6, 1) and Q(6, 6) are the two ends of the diameter of a given circle. Calculate the radius.
A
6.5 units
B
13.0 units
C
3.5 units
D
7.0 units
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
PQ\(^2\) = (x2 - x1)\(^2\) + (y2 - y1)\(^2\)
= 12\(^2\) + 5\(^2\)
= 144 + 25
= 169
PQ = \sqrt169 = 13
But PQ = diameter = 2r, r = PQ/2 = 6.5 units
Source: WAEC / JAMB / NECO Classroom Archive (Record #60681)