Q. Viruses are classified as: (2020)
A.
Living organisms
B.
Non-living entities
C.
Prokaryotes
D.
Eukaryotes
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Solution
Viruses are considered non-living entities as they cannot carry out metabolic processes independently.
Correct Answer:
B
— Non-living entities
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Q. Water is to a river as air is to a _____.
A.
cloud
B.
sky
C.
breeze
D.
atmosphere
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Solution
Water flows in a river, just as air fills the atmosphere.
Correct Answer:
D
— atmosphere
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Q. Water is to Drink as Food is to?
A.
Eat
B.
Cook
C.
Prepare
D.
Serve
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Solution
You drink water, just as you eat food.
Correct Answer:
A
— Eat
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Q. What are the building blocks of nucleic acids?
A.
Amino acids
B.
Fatty acids
C.
Nucleotides
D.
Monosaccharides
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Solution
Nucleotides are the building blocks of nucleic acids like DNA and RNA.
Correct Answer:
C
— Nucleotides
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Q. What are the dimensions of pressure?
A.
ML^-1T^-2
B.
ML^2T^-2
C.
ML^2T^-1
D.
M^0L^0T^0
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Solution
Pressure is defined as force per unit area. The dimensions of force are ML^1T^-2, and area is L^2, thus pressure has dimensions ML^-1T^-2.
Correct Answer:
A
— ML^-1T^-2
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Q. What are the roots of the equation 3x² - 12x + 12 = 0? (2019)
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Solution
Dividing the equation by 3 gives x² - 4x + 4 = 0, which factors to (x - 2)² = 0, hence the root is 2.
Correct Answer:
B
— 4
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Q. What are the roots of the equation x² - 2x - 8 = 0? (2022)
A.
-2 and 4
B.
2 and -4
C.
4 and -2
D.
0 and 8
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Solution
Factoring gives (x - 4)(x + 2) = 0, hence the roots are 4 and -2.
Correct Answer:
C
— 4 and -2
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Q. What are the roots of the equation x² - 5x + 6 = 0? (2021)
A.
1 and 6
B.
2 and 3
C.
3 and 2
D.
0 and 5
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Solution
The roots can be found using the factorization method: (x - 2)(x - 3) = 0, hence the roots are 2 and 3.
Correct Answer:
B
— 2 and 3
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Q. What are the solutions of the equation cos(x) + sin(x) = 1?
A.
x = 0
B.
x = π/4
C.
x = π/2
D.
x = π
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Solution
The only solution is x = 0.
Correct Answer:
A
— x = 0
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Q. What are the solutions of the equation cos(x) = -1/2 in the interval [0, 2π]?
A.
2π/3, 4π/3
B.
π/3, 5π/3
C.
π/2, 3π/2
D.
0, π
Show solution
Solution
The solutions are x = 2π/3 and 4π/3.
Correct Answer:
A
— 2π/3, 4π/3
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Q. What are the solutions of the equation cos(x) = -1/2?
A.
2π/3
B.
4π/3
C.
π/3
D.
5π/3
Show solution
Solution
The solutions are x = 2π/3 and x = 4π/3.
Correct Answer:
A
— 2π/3
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Q. What are the solutions of the equation cos^2(x) - 1/2 = 0?
A.
x = π/4
B.
x = 3π/4
C.
x = 5π/4
D.
x = 7π/4
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Solution
The solutions are x = π/4, 3π/4, 5π/4, and 7π/4.
Correct Answer:
A
— x = π/4
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Q. What are the solutions of the equation sin(2x) = 0 in the interval [0, 2π]?
A.
0, π, 2π
B.
0, π/2, π
C.
0, π/4, π/2
D.
0, 3π/2
Show solution
Solution
The solutions are x = 0, π, and 2π.
Correct Answer:
A
— 0, π, 2π
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Q. What are the solutions of the equation sin(2x) = 0?
A.
x = nπ/2
B.
x = nπ
C.
x = nπ + π/2
D.
x = nπ + π
Show solution
Solution
sin(2x) = 0 implies 2x = nπ, thus x = nπ/2 for n ∈ Z.
Correct Answer:
A
— x = nπ/2
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Q. What are the solutions of the equation sin(x) = sin(π/3)?
A.
x = π/3
B.
x = 2π/3
C.
x = 4π/3
D.
x = 5π/3
Show solution
Solution
The solutions are x = π/3 + 2nπ and x = 2π/3 + 2nπ.
Correct Answer:
A
— x = π/3
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Q. What are the solutions of the equation sin^2(x) - sin(x) = 0?
A.
x = nπ
B.
x = nπ + π/2
C.
x = nπ + 2π
D.
x = nπ + π
Show solution
Solution
Factoring gives sin(x)(sin(x) - 1) = 0, so sin(x) = 0 or sin(x) = 1. Thus, x = nπ or x = π/2 + 2nπ.
Correct Answer:
A
— x = nπ
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Q. What can be concluded about the applications of digital sum based on the passage? (2023)
A.
They are limited to theoretical mathematics.
B.
They are diverse and widespread in technology.
C.
They are primarily used in educational contexts.
D.
They are mostly outdated and rarely used.
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Solution
The passage indicates that the applications of digital sum are diverse and widespread in technology, showcasing its versatility.
Correct Answer:
B
— They are diverse and widespread in technology.
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Q. What can be concluded about the author's perspective on fossil fuels?
A.
They are essential for economic growth.
B.
They are a temporary solution.
C.
They are the only viable energy source.
D.
They should be completely eliminated.
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Solution
The author suggests that fossil fuels are a temporary solution, advocating for a shift to renewable sources.
Correct Answer:
B
— They are a temporary solution.
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Q. What can be concluded about the author's perspective on individual responsibility in addressing inequalities? (2023)
A.
Individual responsibility is the sole factor in reducing inequalities.
B.
The author believes individual actions are insignificant.
C.
The author advocates for a balance between individual and systemic solutions.
D.
Individual responsibility is irrelevant to the discussion of inequalities.
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Solution
The author suggests that both individual actions and systemic changes are necessary to effectively address inequalities.
Correct Answer:
C
— The author advocates for a balance between individual and systemic solutions.
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Q. What can be concluded about the author's perspective on social media based on the passage? (2023)
A.
Social media is entirely harmful.
B.
Social media has both positive and negative effects.
C.
Social media is irrelevant to human interaction.
D.
Social media should be banned.
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Solution
The author presents a balanced view, recognizing that social media can have both positive and negative effects on human interaction.
Correct Answer:
B
— Social media has both positive and negative effects.
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Q. What can be concluded about the author's perspective on the topic?
A.
The author is indifferent to the topic.
B.
The author has a strong personal connection to the topic.
C.
The author presents a balanced view of the topic.
D.
The author is biased towards one side of the argument.
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Solution
The author presents a balanced view, considering multiple perspectives and providing a fair analysis of the topic.
Correct Answer:
C
— The author presents a balanced view of the topic.
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Q. What can be concluded about the author's stance on traditional methods?
A.
They are completely obsolete.
B.
They still hold value but need to evolve.
C.
They are superior to modern methods.
D.
They should be abandoned entirely.
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Solution
The author suggests that traditional methods still hold value but need to evolve to remain relevant.
Correct Answer:
B
— They still hold value but need to evolve.
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Q. What can be concluded about the author's tone in the passage?
A.
Optimistic and hopeful
B.
Skeptical and critical
C.
Neutral and objective
D.
Emotional and passionate
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Solution
The author expresses optimism about the implications of the discovery, indicating a hopeful tone.
Correct Answer:
A
— Optimistic and hopeful
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Q. What can be concluded about the author's view on education and technology?
A.
Education should remain unchanged despite technological advances.
B.
Technology should be integrated into education to enhance learning.
C.
Technology is a hindrance to effective education.
D.
Education and technology are unrelated fields.
Show solution
Solution
The passage suggests that integrating technology into education can enhance learning experiences.
Correct Answer:
B
— Technology should be integrated into education to enhance learning.
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Q. What can be concluded about the author's view on education in relation to technology? (2023)
A.
Education should remain unchanged despite technological advances.
B.
Technology should be integrated into education to enhance learning.
C.
Education is less important than technological skills.
D.
Technology has no place in education.
Show solution
Solution
The passage suggests that integrating technology into education can enhance learning experiences, reflecting a positive view.
Correct Answer:
B
— Technology should be integrated into education to enhance learning.
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Q. What can be concluded about the customer satisfaction ratings from the mixed graph?
A.
Customer satisfaction has improved steadily over the years.
B.
There was a sharp decline in customer satisfaction in the last year.
C.
Customer satisfaction ratings have fluctuated without a clear trend.
D.
Customer satisfaction ratings are irrelevant to sales performance.
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Solution
The graph illustrates fluctuations in customer satisfaction ratings, indicating no clear upward or downward trend.
Correct Answer:
C
— Customer satisfaction ratings have fluctuated without a clear trend.
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Q. What can be concluded about the data points in the mixed graph regarding their distribution?
A.
The data points are evenly distributed across the graph.
B.
There are clusters of data points indicating specific trends.
C.
The data points are randomly scattered with no discernible pattern.
D.
The data points form a perfect linear relationship.
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Solution
The presence of clusters in the graph suggests specific trends among the data points.
Correct Answer:
B
— There are clusters of data points indicating specific trends.
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Q. What can be concluded about the domain of a function based on the passage?
A.
It includes all real numbers.
B.
It is the set of all possible output values.
C.
It is the set of all possible input values.
D.
It is always finite.
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Solution
The domain of a function refers to the set of all possible input values (x-values) for which the function is defined.
Correct Answer:
C
— It is the set of all possible input values.
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Q. What can be concluded about the environmental impact based on the mixed graph data?
A.
The environmental impact has improved over the years.
B.
There is no significant change in environmental impact.
C.
The environmental impact worsened despite increased regulations.
D.
Regulations have had a positive effect on reducing environmental impact.
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Solution
The graph illustrates that despite the implementation of regulations, the environmental impact has worsened, indicating a lack of effectiveness.
Correct Answer:
C
— The environmental impact worsened despite increased regulations.
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Q. What can be concluded about the environmental impact based on the mixed graph presented? (2023)
A.
The environmental impact has decreased over the years.
B.
There is a direct correlation between industrial growth and environmental degradation.
C.
Environmental policies have no effect on pollution levels.
D.
The data does not provide enough information to draw conclusions.
Show solution
Solution
The graph illustrates a clear relationship between industrial growth and increasing levels of environmental degradation, indicating a direct correlation.
Correct Answer:
B
— There is a direct correlation between industrial growth and environmental degradation.
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