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Biology
UTME / JAMB 2018
Transport System in Plants & Animals
Solution
Name the blood cells in which nucleus is absent
A
Lymphocytes
B
Blood Platelets
C
Monocytes
D
Eosinophil
medium Difficulty
Verified Correct Answer: Option B
Biological Concept & Syllabus Guide
Like red cells, platelets (thrombocytes) have no nucleus. However, unlike red cells that originate in the marrow as nucleated cells and lose their nucleus, platelets are produced by budding off from a giant multinucleated marrow cell called a megakaryocyte.
Source: Myschool Past Questions Archive (Record #47518)
Biology
UTME / JAMB 2018
Basic Ecological Concepts, Ecosystems & Biomes
Solution
The damage to ozone layer is caused by
A
Oxygen
B
Nitrogen oxide
C
Chlorofluorocarbons
D
sulphur dioxide
medium Difficulty
Verified Correct Answer: Option C
Biological Concept & Syllabus Guide
Ozone sits in the upper atmosphere and absorbs ultraviolet radiaton, another type of solar energy that's harmful to humans, animals and plants. CFCs and halons cause chemical reactions that break down ozone molecules, reducing ozone's ultraviolet radiation-absorbing capacity
Chlorofluorocarbons (CFCs) and other halogenated ozone depleting substances (ODS) are mainly responsible for man-made chemical ozone depletion.
Source: Myschool Past Questions Archive (Record #47520)
Biology
UTME / JAMB 2018
Adaptation & Evolution
Solution
Long neck in giraffe is used to illustrate the theory of
A
Use and Disuse
B
Origin of species
C
Origin of life
D
Natural selection
medium Difficulty
Verified Correct Answer: Option A
Biological Concept & Syllabus Guide
The giraffe’s long neck is a perfect adaptation to the animal’s natural habitat. Clearly the giraffe evolved this uncommon and helpful trait in order to reach those nourishing leaves. That’s how natural selection works.
Use and disuse' theory in human life advocate the idea that animals acquired characteristics after using certain physical traits constantly.
Source: Myschool Past Questions Archive (Record #47521)
Biology
UTME / JAMB 2018
Cell & Its Environment (Diffusion, Osmosis & Transport)
Red blood cells were found to have burst open after being placed in distill for an hour. This phenomenon is known as
A
plasmolysis
B
diffusion
C
haemolysis
D
wilting
medium Difficulty
Verified Correct Answer: Option C
Biological Concept & Syllabus Guide
No expanded working has been attached for this question yet. The verified answer is Option C.
Source: Official Exam / Past Question Archive
Biology
UTME / JAMB 2018
Nutrition in Plants & Animals (Photosynthesis & Food Substances)
Solution
A beaker of pond water containing few specimens of Euglena was placed in a dark room for two weeks. At the end of this period, the specimens of Euglena were still alive because they were
A
able to carry out holozoic nutrition
B
able to carry out photosynthesis using carbon dioxide in the pond water
C
better adapted to life in darkness than to life in light
D
not overcrowded
medium Difficulty
Verified Correct Answer: Option A
Biological Concept & Syllabus Guide
Euglena can survive in a dark room for a long time because it has the ability to switch from photosynthetic (using light) to heterotrophic or holozoic nutrition (absorbing nutrients from the surrounding environment) when deprived of light; essentially acting like a tiny animal by consuming organic matter in the water, allowing it to continue living even without photosynthesis through its chloroplasts.
Source: Official Exam / Past Question Archive
Mathematics
UTME / JAMB 2017
Permutations, Combinations & Probability
Solution
Find the number of ways that the letters of the word EXCELLENCE be arranged
A
\(\frac{10!}{2!2!2!}\)
B
\(\frac{10!}{4!2!}\)
C
\(\frac{10!}{4!2!2!}\)
D
\(\frac{10!}{2!2!}\)
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
EXCELLENCE
It is a ten-letter word = 10!
Since we have repeating letters, we have to divide to remove the duplicates accordingly. There are 4 Es, 2 Cs, 2 Ls
∴ there are: \(\frac{10!}{4!2!2!}\) ways to arrange
Source: WAEC / JAMB / NECO Classroom Archive (Record #46346)
Chemistry
UTME / JAMB 2017
Metals, Transition Elements & Extraction
Solution
Tin is unaffected by air at ordinary temperature due to its?
A
Low melting point
B
Weak electropositive character
C
High boiling point
D
White lustrous appearance
medium Difficulty
Verified Correct Answer: Option B
Chemical Principles & Mechanism
Tin is unaffected by air even at ordinary temperature because it forms a thin, protective oxide layer on it's surface.
None of the options provided directly explain why tin is unaffected by air. However, for the sake of the examination and choosing the best among the four options, it will be weak electropositive character, as it implies that tin is less reactive.
Source: WAEC / JAMB / NECO Classroom Archive (Record #46536)
Mathematics
UTME / JAMB 2017
Sets, Logic & Venn Diagrams
Solution
Given T = { even numbers from 1 to 12 }
N = {common factors of 6, 8 and 12}
Find T ∩ N
A
{2, 3}
B
{2, 3, 4}
C
{3, 4, 6}
D
{2}
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
T = {evenn numbers from 1 to 12}
N = {common factors of 6,8 and 12}
Find T ∩ N
T = {2, 4, 6, 8, 10, 12}
N = {2}
T ∩ N = {2} i.e value common to T & N
Source: Myschool Past Questions Archive (Record #46321)
Mathematics
UTME / JAMB 2017
Sequences & Series (AP & GP)
Solution
What is the next number in the series 2, 1, \(\frac{1}{2}\), \(\frac{1}{4}\)...
A
\(\frac{1}{3}\)
B
\(\frac{2}{8}\)
C
\(\frac{3}{7}\)
D
\(\frac{1}{8}\)
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
2, 1, \(\frac{1}{2}\), \(\frac{1}{4}\).....
There are 4 terms in the series
Therefore the next number will be the 5th term
Tn = ar\(^{n − 1}\) (formular for geometric series)
a = first term = 2
r = common rate = \(\frac{\text{next term}}{\text{previous term}}\) = \(\frac{1}{2}\)
n = number of terms
T5 = 5th term = ?
T5 = ar\(^{5 - 1}\)
= ar\(^4\)
= 2 × (ar\(^{n − 1}\))4
= 2 × \(\frac{1}{16}\)
= \(\frac{1}{8}\)
Source: Myschool Past Questions Archive (Record #46322)
Mathematics
UTME / JAMB 2017
Permutations, Combinations & Probability
Solution
If U = {x : x is an integer and 1 \le x \le 20 }
E1 = {x: x is a multiple of 3}
E2 = {x: x is a multiple of 4} and an integer is picked at random from U, find the probability that it is not in E2
A
\(\frac{3}{4}\)
B
\(\frac{3}{10}\)
C
\(\frac{1}{4}\)
D
\(\frac{1}{20}\)
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}
E1 = {3, 6, 9, 12, 15, 18}
E2 = {4, 8, 12, 16, 20}
Probability of E2 = \(\frac{5}{20}\) i.e \(\frac{\text{Total number in}E_2}{\text{Entire number in set}}\)
Probability of set E2 = 1 − \(\frac{5}{20}\)
= \(\frac{15}{20}\)
= \(\frac{3}{4}\)
Source: Myschool Past Questions Archive (Record #46323)
Mathematics
UTME / JAMB 2017
Mensuration (Areas, Perimeters & Volumes)
Solution
The curved surface area of a cylinder 5cm high is 110cm2. Find the radius of its base
π = \(\frac{22}{7}\)
A
2.6cm
B
3.5cm
C
3.6cm
D
7.0cm
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
Curved surface area of cylinder = 2πrh
110 = 2 × \(\frac{22}{7}\) × r × 5
r = \(\frac{110 \times 7}{44 \times 5}\)
= 3.5cm
Source: Myschool Past Questions Archive (Record #46324)
Mathematics
UTME / JAMB 2017
Indices, Logarithms & Surds
Solution
If two graphs Y = px2 + q and y = 2x2 − 1 intersect at x =2, find the value of p in terms of q
A
q − \(\frac{8}{7}\)
B
7 − \(\frac{q}{4}\)
C
8 − \(\frac{q}{2}\)
D
7 + \(\frac{q}{8}\)
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
Y = Px2 + q
Y = 2x2 - 1
Px2 + q = 2x2 - 1
Px2 = 2x2 - 1 - q
p = \(\frac{2x^2 - 1 - q}{x^2}\)
at x = 2
P = \(\frac{2(2)^2 - 1 - q}{2^2}\)
= \(\frac{2(4) - 1 -q}{4}\)
= \(\frac{8 - 1 - q}{4}\)
P = \(\frac{7 - q}{4}\)
Source: Myschool Past Questions Archive (Record #46325)
Mathematics
UTME / JAMB 2017
Trigonometry, Elevation & Bearings
Solution
Evaluate (\(\sin\)45º + \(\sin\)30º ) in surd form
A
\(\frac{\sqrt{3}}{2\sqrt{2}}\)
B
√3 − \(\frac{1}{2}\)
C
\(\frac{1}{2}\)√2
D
\(\frac{1 +\sqrt{2}}{2}\)
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
hypotenuse
sin = \(\frac{1}{2}\)
\(\sin45 = \frac{1}{\sqrt{2}}\)
= \(\frac{2}{2}\)
∴ (sin45 + sin30)
= \(\frac{1}{\sqrt{2}} + \frac{1}{2}\)
= \(\frac{\sqrt{2}}{2}\) + \(\frac{1}{2}\)
= \(\frac{\sqrt{2} + 1}{2}\)
= \(\frac{1 + \sqrt{2}}{2}\)
Source: Myschool Past Questions Archive (Record #46326)
Mathematics
UTME / JAMB 2017
Differentiation & Applications
Solution
If y = x Sin x, find \(\frac{dy}{dx}\) when x = \(\frac{\pi}{2}\)
A
\(\frac{- \pi}{2}\)
B
-1
C
1
D
\(\frac{ \pi}{2}\)
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
y = xsinx
\(\frac{dy}{dx}\) = \(1 \sin x + x \cos x\)
= \(\sin x + x \cos x\)
At x = \(\frac{\pi}{2}\)
= sin\(\frac{\pi}{2}\) + \(\frac{\pi}{2} \cos {\frac{\pi}{2}}\)
= 1 + \(\frac{\pi}{2}\) \times 0
= 1
Source: Myschool Past Questions Archive (Record #46327)
Mathematics
UTME / JAMB 2017
Variations
Solution
If temperature t is directly proportional to heat h, and when t = 20oC, h = 50 J, find t when h = 60J
A
24oC
B
20oC
C
34oC
D
30oC
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
t ∝ h, t = 20, h
t = ? h = 60
t = kh where k is constant
20 = 50k
k = \(\frac{20}{50}\)
k = \(\frac{2}{5}\)
when h = 60, t = ?
t = \(\frac{2}{5}\) × 60
t = 24oC
Source: Myschool Past Questions Archive (Record #46328)