Q. Which of the following statements about the viscosity of liquids is true?
A.
Viscosity increases with temperature
B.
Viscosity decreases with temperature
C.
Viscosity is independent of temperature
D.
Viscosity is the same for all liquids
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Solution
Viscosity generally decreases with an increase in temperature.
Correct Answer: B — Viscosity decreases with temperature
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Q. Which of the following statements about thermal conductivity is true? (2021)
A.
It is higher in gases than in solids
B.
It is a measure of a material's ability to conduct heat
C.
It increases with temperature
D.
It is independent of material type
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Solution
Thermal conductivity is a measure of a material's ability to conduct heat; it varies with material type.
Correct Answer: B — It is a measure of a material's ability to conduct heat
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Q. Which of the following statements about torque is true?
A.
Torque is a scalar quantity.
B.
Torque depends on the angle of application.
C.
Torque is always positive.
D.
Torque does not depend on the point of rotation.
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Solution
Torque depends on the angle of application, as it is calculated using τ = F × d × sin(θ).
Correct Answer: B — Torque depends on the angle of application.
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Q. Which of the following statements about total internal reflection is true?
A.
It can occur at any angle of incidence
B.
It requires a denser medium to be on the incident side
C.
It can occur when light travels from air to water
D.
It is a phenomenon exclusive to optical fibers
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Solution
Total internal reflection requires that the light travels from a denser medium to a rarer medium, making the second statement true.
Correct Answer: B — It requires a denser medium to be on the incident side
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Q. Which of the following statements about triangles is true?
A.
All triangles are equilateral.
B.
The sum of the angles in a triangle is 180 degrees.
C.
A triangle can have two right angles.
D.
The area of a triangle is always greater than its perimeter.
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Solution
The sum of the angles in any triangle is always 180 degrees, which is a fundamental property of triangles.
Correct Answer: B — The sum of the angles in a triangle is 180 degrees.
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Q. Which of the following statements about variable J is supported by the mixed graph? (2023)
A.
J has a linear relationship with variable K.
B.
J is affected by external factors.
C.
J shows a cyclical pattern.
D.
J's trend is unpredictable.
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Solution
The mixed graph reveals that variable J exhibits a cyclical pattern, indicating periodic fluctuations over time.
Correct Answer: C — J shows a cyclical pattern.
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Q. Which of the following statements about viscosity is true?
A.
Viscosity is a scalar quantity
B.
Viscosity is a vector quantity
C.
Viscosity is temperature independent
D.
Viscosity increases with shear rate
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Solution
Viscosity is a scalar quantity that measures a fluid's resistance to flow.
Correct Answer: A — Viscosity is a scalar quantity
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Q. Which of the following statements about weak acids is true?
A.
They completely dissociate in solution
B.
They have a high pKa value
C.
They have a low pH
D.
They are strong electrolytes
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Solution
Weak acids do not completely dissociate in solution and typically have a higher pKa value compared to strong acids.
Correct Answer: B — They have a high pKa value
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Q. Which of the following statements about X-rays is true?
A.
They have a longer wavelength than visible light
B.
They are charged particles
C.
They can be focused with a lens
D.
They are a form of electromagnetic radiation
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Solution
X-rays are a form of electromagnetic radiation, similar to visible light but with much higher energy and shorter wavelength.
Correct Answer: D — They are a form of electromagnetic radiation
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Q. Which of the following statements best describes the concept of 'Sustainable Development'?
A.
Development that meets the needs of the present without compromising the ability of future generations to meet their own needs.
B.
Development that focuses solely on economic growth without considering environmental impacts.
C.
Development that prioritizes industrialization over agricultural practices.
D.
Development that is limited to urban areas and neglects rural development.
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Solution
Sustainable Development emphasizes balancing economic growth with environmental protection and social equity.
Correct Answer: A — Development that meets the needs of the present without compromising the ability of future generations to meet their own needs.
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Q. Which of the following statements best describes the impact of the British education system on Indian society?
A.
It completely eradicated traditional education systems.
B.
It led to the rise of a new educated middle class.
C.
It had no significant impact on Indian society.
D.
It promoted only technical education.
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Solution
The British education system led to the emergence of a new educated middle class that played a crucial role in the socio-political landscape of India.
Correct Answer: B — It led to the rise of a new educated middle class.
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Q. Which of the following statements best describes the impact of the Gupta Empire on Indian culture?
A.
It marked the decline of trade and commerce.
B.
It was a period of significant advancements in science, art, and literature.
C.
It led to the complete dominance of Buddhism over Hinduism.
D.
It resulted in the establishment of foreign rule in India.
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Solution
The Gupta Empire (c. 320-550 CE) is often referred to as the Golden Age of India due to its remarkable achievements in various fields such as mathematics, astronomy, and literature, which flourished during this period.
Correct Answer: B — It was a period of significant advancements in science, art, and literature.
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Q. Which of the following statements best describes the role of a facilitator in team formation?
A.
To make decisions for the team
B.
To ensure all voices are heard
C.
To set the team's goals
D.
To evaluate team performance
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Solution
A facilitator's primary role is to guide discussions and ensure that all team members contribute.
Correct Answer: B — To ensure all voices are heard
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Q. Which of the following statements best describes the role of a team leader in a newly formed team? (2023)
A.
To dictate tasks without input
B.
To facilitate discussions and encourage participation
C.
To focus solely on individual performance
D.
To avoid conflict at all costs
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Solution
A team leader should facilitate discussions and encourage participation to foster a collaborative environment and ensure all voices are heard.
Correct Answer: B — To facilitate discussions and encourage participation
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Q. Which of the following statements best describes the role of NGOs in the context of social reform in India during the 20th century? (2000)
A.
They primarily focused on economic development.
B.
They played a crucial role in advocating for women's rights and education.
C.
They were mainly involved in political lobbying.
D.
They had no significant impact on social reform.
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Solution
NGOs in India during the 20th century were instrumental in advocating for women's rights and education, significantly contributing to social reform.
Correct Answer: B — They played a crucial role in advocating for women's rights and education.
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Q. Which of the following statements best describes the role of the State Legislature in India? (1950)
A.
It is responsible for the formulation of national policies.
B.
It has the power to amend the Constitution.
C.
It enacts laws on subjects enumerated in the State List.
D.
It conducts elections for the President of India.
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Solution
The State Legislature is primarily responsible for enacting laws on subjects that fall under the State List as per the Constitution of India.
Correct Answer: C — It enacts laws on subjects enumerated in the State List.
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Q. Which of the following statements best describes the significance of the Magna Carta of 1215?
A.
It established the principle of the divine right of kings.
B.
It limited the powers of the king and laid the foundation for parliamentary democracy.
C.
It was the first written constitution in the world.
D.
It abolished feudalism in England.
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Solution
The Magna Carta established the principle that everyone, including the king, was subject to the law, thus limiting the powers of the monarchy and laying the groundwork for the development of parliamentary democracy.
Correct Answer: B — It limited the powers of the king and laid the foundation for parliamentary democracy.
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Q. Which of the following statements best describes the significance of the Mauryan Empire in Indian history?
A.
It was the first empire to unify most of the Indian subcontinent.
B.
It was primarily known for its trade relations with the Roman Empire.
C.
It was the first to adopt Buddhism as the state religion.
D.
It marked the beginning of the medieval period in India.
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Solution
The Mauryan Empire, established in 322 BCE, is significant for unifying most of the Indian subcontinent under a centralized administration, which laid the foundation for future empires.
Correct Answer: A — It was the first empire to unify most of the Indian subcontinent.
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Q. Which of the following statements best describes the significance of the Mauryan Empire in ancient Indian history?
A.
It was the first empire to unify most of the Indian subcontinent.
B.
It was primarily known for its trade relations with the Roman Empire.
C.
It was the first to adopt Buddhism as the state religion.
D.
It was characterized by a feudal system of governance.
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Solution
The Mauryan Empire, established in 322 BCE, is significant for being the first empire to unify most of the Indian subcontinent under a centralized administration.
Correct Answer: A — It was the first empire to unify most of the Indian subcontinent.
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Q. Which of the following statements best describes the social structure of ancient Indian society during the Vedic period?
A.
It was strictly hierarchical with no mobility.
B.
It was fluid with significant social mobility.
C.
It was based on wealth and land ownership.
D.
It was egalitarian with equal rights for all.
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Solution
The Vedic period saw a more fluid social structure where individuals could change their social status based on merit and achievements, unlike the later rigid caste system.
Correct Answer: B — It was fluid with significant social mobility.
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Q. Which of the following statements best illustrates the concept of diminishing returns in resource allocation?
A.
Increasing the number of workers in a factory leads to a proportional increase in output.
B.
Adding more fertilizer to a crop field results in a smaller increase in yield over time.
C.
Investing in technology always leads to higher productivity.
D.
Resource allocation should always prioritize financial returns.
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Solution
Diminishing returns occur when adding more of a resource results in a smaller increase in output, which is illustrated by option 1.
Correct Answer: B — Adding more fertilizer to a crop field results in a smaller increase in yield over time.
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Q. Which of the following statements best illustrates the principle of diminishing returns in resource allocation?
A.
Increasing the number of workers in a factory will always increase output proportionately.
B.
After a certain point, adding more resources results in smaller increases in output.
C.
Investing in technology will always yield higher returns than investing in labor.
D.
Resource allocation should be based solely on market demand.
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Solution
The principle of diminishing returns states that after a certain point, adding more of a resource will yield progressively smaller increases in output, making option 1 correct.
Correct Answer: B — After a certain point, adding more resources results in smaller increases in output.
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Q. Which of the following statements best summarizes the overall trend depicted in the mixed graph?
A.
Sales are expected to decline in the next quarter.
B.
There is a positive correlation between product launches and sales.
C.
Customer engagement has no impact on sales.
D.
Sales trends are unpredictable and erratic.
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Solution
The graph shows that each product launch corresponds with a spike in sales, indicating a positive correlation.
Correct Answer: B — There is a positive correlation between product launches and sales.
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Q. Which of the following statements best summarizes the principle of 'Pareto Efficiency' in resource allocation? (2023)
A.
Resources are allocated in a way that maximizes total output.
B.
No reallocation can make one individual better off without making another worse off.
C.
Resources are distributed equally among all individuals.
D.
The allocation of resources is based solely on market demand.
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Solution
Pareto Efficiency is achieved when no individual can be made better off without making someone else worse off, thus option 1 is correct.
Correct Answer: B — No reallocation can make one individual better off without making another worse off.
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Q. Which of the following statements can be inferred from the passage about the future of digital sum? (2023)
A.
It will become obsolete with the rise of quantum computing.
B.
It will continue to evolve and integrate with new technologies.
C.
It is likely to be replaced by simpler methods.
D.
It will remain unchanged for the foreseeable future.
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Solution
The passage suggests that digital sum will evolve and integrate with emerging technologies, indicating a promising future.
Correct Answer: B — It will continue to evolve and integrate with new technologies.
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Q. Which of the following statements can be inferred from the passage about the importance of digital sum? (2023)
A.
Digital sum is obsolete in today's technology.
B.
Understanding digital sum is crucial for data analysis.
C.
Digital sum has no practical applications.
D.
Only mathematicians need to understand digital sum.
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Solution
The passage suggests that a solid understanding of digital sum is essential for effective data analysis in various fields.
Correct Answer: B — Understanding digital sum is crucial for data analysis.
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Q. Which of the following statements can be inferred from the passage?
A.
The discovery will have no impact on future research.
B.
The researchers faced significant challenges during their study.
C.
The findings contradict previous theories.
D.
The study was funded by a private organization.
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Solution
The passage mentions that the findings challenge existing theories, allowing us to infer that they contradict previous beliefs.
Correct Answer: C — The findings contradict previous theories.
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Q. Which of the following statements does not logically follow from the others? (2023)
A.
All mammals are warm-blooded.
B.
Whales are mammals.
C.
Some mammals can fly.
D.
All mammals lay eggs.
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Solution
All mammals lay eggs is incorrect as not all mammals lay eggs; most give live birth.
Correct Answer: D — All mammals lay eggs.
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Q. Which of the following statements is a valid conclusion drawn from the passage?
A.
All individuals are inherently good.
B.
Education systems need to adapt to modern needs.
C.
Technology will eventually replace teachers.
D.
Critical thinking is not valued in society.
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Solution
The passage suggests that education systems must adapt to modern needs, making option 1 the valid conclusion.
Correct Answer: B — Education systems need to adapt to modern needs.
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Q. Which of the following statements is an inference that can be drawn from the passage? (2023)
A.
The author believes that all technology is harmful.
B.
The author supports the integration of technology in education.
C.
The author is against any form of technological change.
D.
The author is indifferent to the effects of technology.
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Solution
The passage suggests that the author advocates for the positive role of technology in education.
Correct Answer: B — The author supports the integration of technology in education.
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