Q. Which of the following sentences best summarizes the main argument of the passage?
A.
The passage argues that technology is detrimental to society.
B.
The passage suggests that education is the key to solving social issues.
C.
The passage contends that economic growth must be balanced with environmental sustainability.
D.
The passage claims that government intervention is unnecessary.
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Solution
The main argument revolves around the need for a balance between economic development and environmental protection.
Correct Answer:
C
— The passage contends that economic growth must be balanced with environmental sustainability.
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Q. Which of the following sentences best summarizes the main idea of the paragraph?
A.
The paragraph discusses various types of technology.
B.
The paragraph argues for the unregulated use of technology.
C.
The paragraph emphasizes the need for ethical considerations in technology.
D.
The paragraph lists the advantages of modern technology.
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Solution
The main idea revolves around the ethical implications of technology, indicating a need for careful consideration.
Correct Answer:
C
— The paragraph emphasizes the need for ethical considerations in technology.
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Q. Which of the following sentences best summarizes the main idea of the passage?
A.
Urbanization leads to economic growth but also environmental challenges.
B.
Pollution is a minor issue compared to other urban problems.
C.
Youth are primarily responsible for environmental degradation.
D.
Social media is the main cause of urban pollution.
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Solution
The passage discusses the dual nature of urbanization, emphasizing both its economic benefits and environmental challenges.
Correct Answer:
A
— Urbanization leads to economic growth but also environmental challenges.
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Q. Which of the following sentences best summarizes the paragraph? (2023)
A.
The author believes that reading is essential for personal development.
B.
Reading is a skill that can be improved with practice.
C.
The benefits of reading are often overlooked in modern society.
D.
Many people prefer visual media over reading books.
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Solution
The paragraph emphasizes the importance of reading for personal growth and development.
Correct Answer:
A
— The author believes that reading is essential for personal development.
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Q. Which of the following sentences contains a grammatical error?
A.
She don't like ice cream.
B.
He enjoys playing football.
C.
They are going to the market.
D.
I have finished my homework.
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Solution
The correct form should be 'She doesn't like ice cream.'
Correct Answer:
A
— She don't like ice cream.
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Q. Which of the following sentences contains a logical fallacy?
A.
If it rains, the ground will be wet.
B.
All birds can fly, so penguins are not birds.
C.
Some fruits are sweet, like apples.
D.
If you study hard, you will pass the exam.
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Solution
The statement about birds incorrectly generalizes that all birds can fly, which is false.
Correct Answer:
B
— All birds can fly, so penguins are not birds.
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Q. Which of the following sentences is least relevant to the topic of climate change?
A.
Rising sea levels threaten coastal cities.
B.
Deforestation contributes to global warming.
C.
The stock market fluctuates daily.
D.
Renewable energy sources can reduce carbon emissions.
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Solution
The stock market fluctuating daily is unrelated to climate change, while the other options directly address environmental issues.
Correct Answer:
C
— The stock market fluctuates daily.
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Q. Which of the following sentences is logically consistent with the statement: 'All cats are mammals, but not all mammals are cats'?
A.
Some mammals are not cats.
B.
All mammals are cats.
C.
Some cats are not mammals.
D.
All cats are dogs.
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Solution
The statement implies that while all cats belong to the category of mammals, there are mammals that are not cats.
Correct Answer:
A
— Some mammals are not cats.
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Q. Which of the following sentences is most logically consistent with the ideas presented in the passage? (2023)
A.
The future of technology is uncertain.
B.
Innovation is essential for progress.
C.
Tradition should be preserved at all costs.
D.
Change is often met with resistance.
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Solution
The passage emphasizes the importance of innovation, making the second option the most consistent.
Correct Answer:
B
— Innovation is essential for progress.
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Q. Which of the following sentences is out of context? (2023)
A.
The committee reached a consensus after much debate.
B.
The proposal was met with enthusiasm.
C.
The weather was sunny and bright.
D.
The final decision was announced yesterday.
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Solution
The weather was sunny and bright is unrelated to the context of a committee's decision-making process.
Correct Answer:
C
— The weather was sunny and bright.
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Q. Which of the following sentences is the odd one out in terms of structure? (2023)
A.
Despite the rain, we went for a walk.
B.
We decided to stay indoors because it was raining.
C.
The rain was heavy, so we canceled our plans.
D.
The weather was nice, and we enjoyed the day.
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Solution
The last sentence describes a positive weather condition, while the others discuss rain and its impact on plans.
Correct Answer:
D
— The weather was nice, and we enjoyed the day.
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Q. Which of the following sentences would best fit in the blank in the passage discussing the impact of climate change on biodiversity? (2023)
A.
This leads to a significant loss of species.
B.
This has no effect on the ecosystem.
C.
This only affects certain regions.
D.
This is a temporary phenomenon.
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Solution
The passage discusses the severe consequences of climate change, particularly the loss of biodiversity, making the first option the most fitting.
Correct Answer:
A
— This leads to a significant loss of species.
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Q. Which of the following sentences would best fit in the blank in the passage to enhance its argument?
A.
This is a complex issue that requires a nuanced approach.
B.
Many people are unaware of the severity of the situation.
C.
The solutions are often more political than scientific.
D.
Public awareness is crucial for effective policy-making.
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Solution
The sentence emphasizes the complexity of the issue, aligning with the author's argument for a nuanced approach to climate change.
Correct Answer:
A
— This is a complex issue that requires a nuanced approach.
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Q. Which of the following sentences would best fit in the blank in the passage? (2023)
A.
This shift has been largely beneficial.
B.
Many people oppose this change.
C.
The consequences are still being evaluated.
D.
It has sparked a significant debate.
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Solution
The context of the passage suggests that the shift mentioned has led to considerable discussion, making this option the most fitting.
Correct Answer:
D
— It has sparked a significant debate.
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Q. Which of the following sentences would best fit in the blank of the passage?
A.
This phenomenon is often overlooked.
B.
Many people are unaware of its implications.
C.
It has been widely studied in recent years.
D.
The results are often inconclusive.
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Solution
The context suggests that many people are unaware of the implications of the phenomenon, making option B the best fit.
Correct Answer:
B
— Many people are unaware of its implications.
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Q. Which of the following sentences would best fit in the blank space in the paragraph?
A.
This shift has profound implications for future generations.
B.
Many people remain unaware of these changes.
C.
The consequences are often overlooked by policymakers.
D.
Such trends are indicative of a larger societal issue.
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Solution
The sentence 'This shift has profound implications for future generations.' logically follows the context of discussing significant changes, making option A the best fit.
Correct Answer:
A
— This shift has profound implications for future generations.
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Q. Which of the following sentences would best fit in the blank space in the passage to enhance its argument? (2023)
A.
This is a complex issue that requires multifaceted solutions.
B.
Many people are unaware of the severity of the situation.
C.
The solutions proposed are often too costly for developing nations.
D.
Public awareness campaigns have proven ineffective.
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Solution
The sentence emphasizes the complexity of climate change and the need for diverse approaches, aligning with the passage's argument.
Correct Answer:
A
— This is a complex issue that requires multifaceted solutions.
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Q. Which of the following sentences would best fit in the blank space in the passage?
A.
The CAT exam is known for its unpredictability.
B.
Many students underestimate the verbal section.
C.
Preparation strategies vary among candidates.
D.
Success in CAT requires a balanced approach.
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Solution
The context suggests that unpredictability is a significant aspect of the CAT exam, making this option the best fit.
Correct Answer:
B
— Many students underestimate the verbal section.
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Q. Which of the following sentences would best serve as a concluding statement for the paragraph? (2023)
A.
Thus, the implications of these findings are profound.
B.
In conclusion, the study was inconclusive.
C.
Therefore, further research is unnecessary.
D.
Consequently, the results were not surprising.
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Solution
The first option summarizes the significance of the findings, making it a strong concluding statement.
Correct Answer:
A
— Thus, the implications of these findings are profound.
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Q. Which of the following sentences would best serve as a conclusion to the paragraph? (2023)
A.
Thus, the implications of these findings are profound.
B.
In conclusion, the study was inconclusive.
C.
Therefore, further research is unnecessary.
D.
As a result, the data was flawed.
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Solution
The first option summarizes the significance of the findings, making it a suitable conclusion.
Correct Answer:
A
— Thus, the implications of these findings are profound.
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Q. Which of the following sequences cannot be a harmonic progression?
A.
1, 1/2, 1/3
B.
2, 4, 8
C.
3, 1, 1/3
D.
5, 10, 15
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Solution
The sequence 2, 4, 8 does not have reciprocals that form an arithmetic progression, hence it cannot be a harmonic progression.
Correct Answer:
B
— 2, 4, 8
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Q. Which of the following sequences is a geometric progression?
A.
1, 2, 4, 8
B.
1, 3, 6, 10
C.
2, 4, 8, 16
D.
1, 1, 1, 1
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Solution
The sequence 2, 4, 8, 16 has a constant ratio of 2, making it a geometric progression.
Correct Answer:
C
— 2, 4, 8, 16
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Q. Which of the following sequences is a harmonic progression?
A.
1, 2, 3
B.
1, 1/2, 1/3
C.
2, 4, 6
D.
3, 6, 9
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Solution
The sequence 1, 1/2, 1/3 has reciprocals 1, 2, 3 which are in arithmetic progression, thus it is a harmonic progression.
Correct Answer:
B
— 1, 1/2, 1/3
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Q. Which of the following sequences is an arithmetic progression?
A.
2, 4, 8, 16
B.
1, 3, 5, 7
C.
5, 10, 15, 25
D.
3, 6, 9, 12
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Solution
An arithmetic progression has a constant difference between consecutive terms. The sequence 1, 3, 5, 7 has a common difference of 2.
Correct Answer:
B
— 1, 3, 5, 7
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Q. Which of the following shapes is a polygon? (2023)
A.
Circle
B.
Triangle
C.
Ellipse
D.
Curve
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Solution
A triangle is a polygon as it is a closed figure with straight sides.
Correct Answer:
B
— Triangle
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Q. Which of the following statements about 'matrices' is correct?
A.
Matrices can only represent linear equations.
B.
Matrices are used exclusively in computer graphics.
C.
Matrices can represent data in multiple dimensions and are used in various applications.
D.
Matrices are irrelevant in modern mathematics.
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Solution
Matrices are versatile mathematical structures that can represent data in multiple dimensions and are widely used in various fields, including computer science, engineering, and statistics.
Correct Answer:
C
— Matrices can represent data in multiple dimensions and are used in various applications.
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Q. Which of the following statements about 'probability' is true?
A.
Probability can only be calculated for discrete events.
B.
The sum of probabilities of all possible outcomes is always 1.
C.
Probability is independent of the sample space.
D.
Probability can never exceed 1.
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Solution
The sum of probabilities of all possible outcomes must equal 1, which is a fundamental principle in probability theory.
Correct Answer:
B
— The sum of probabilities of all possible outcomes is always 1.
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Q. Which of the following statements about a geometric progression is true?
A.
The ratio of consecutive terms is constant.
B.
The difference between consecutive terms is constant.
C.
The sum of the terms is always positive.
D.
The first term is always the largest.
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Solution
In a geometric progression, the ratio of consecutive terms is indeed constant, which defines the progression.
Correct Answer:
A
— The ratio of consecutive terms is constant.
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Q. Which of the following statements about a kite is true?
A.
All sides are equal.
B.
Diagonals are equal.
C.
One pair of opposite angles are equal.
D.
It is a type of parallelogram.
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Solution
In a kite, one pair of opposite angles are equal, while the other properties do not hold true.
Correct Answer:
C
— One pair of opposite angles are equal.
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Q. Which of the following statements about a parallelogram is true? (2023)
A.
All sides are equal.
B.
Diagonals bisect each other.
C.
All angles are right angles.
D.
It has exactly one pair of parallel sides.
Show solution
Solution
In a parallelogram, the diagonals bisect each other, which is a defining property of parallelograms.
Correct Answer:
B
— Diagonals bisect each other.
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