Official Paper

UGC NET Paper 1: 3rd January 2026 Shift 2 (Previous Year Paper)

50 questions · 60 minutes · with answers · free

Paper 1 (50 questions)

Study carefully the table given below and answer the question asked here under.

The following table gives the percentage of students belonging to low income group in each of the five colleges A, B, C, D and E, along with the proportion of males and females with and without low income.

College NamePercentage of students with low incomeProportion of males and females (With low income) M : FProportion of males and females (Without low income) M : F
A355 : 66 : 7
B253 : 54 : 5
C241 : 22 : 3
D193 : 24 : 3
E155 : 33 : 2
1

Which college has the least number of students without low income, if we assume that every college has same number of total students?

  1. ((a))

    A

  2. ((b))

    B

  3. ((c))

    C

  4. ((d))

    D

Show Answer
Answer: ((a))

A

Given:

Percentage of students with low income:

A = 35%

B = 25%

C = 24%

D = 19%

E = 15%

All colleges have same total students.

Formula used:

Students without low income = 100% − Low income %

Calculation:

A: 100 − 35 = 65%

B: 100 − 25 = 75%

C: 100 − 24 = 76%

D: 100 − 19 = 81%

E: 100 − 15 = 85%

Comparison:

65%, 75%, 76%, 81%, 85%

⇒ Least = 65%

∴ The correct answer is option (1).

2

Which college has the least number of male students with low income, if we assume that every college has equal number of total students?

  1. ((a))

    B

  2. ((b))

    C

  3. ((c))

    D

  4. ((d))

    E

Show Answer
Answer: ((b))

C

Given:

Low income %:

A = 35%, M : F = 5 : 6

B = 25%, M : F = 3 : 5

C = 24%, M : F = 1 : 2

D = 19%, M : F = 3 : 2

E = 15%, M : F = 5 : 3

Assume total students in each college = 100

Formula used:

Male (low income) = Low income % × M/(M+F)

Calculation:

A: 35 × 5/11 = 15.91

B: 25 × 3/8 = 9.375

C: 24 × 1/3 = 8

D: 19 × 3/5 = 11.4

E: 15 × 5/8 = 9.375

Comparison:

15.91, 9.375, 8, 11.4, 9.375

⇒ Least = 8

∴ College C has the least number of male students with low income.

3

If the number of males without low income in College E is 2295, then the total number of students in College E is:

  1. ((a))

    4000

  2. ((b))

    5000

  3. ((c))

    4500

  4. ((d))

    5500

Show Answer
Answer: ((c))

4500

Given:

College E

Low income = 15%

Without low income = 100 − 15 = 85%

Ratio (Without low income) M : F = 3 : 2

Males without low income = 2295

Formula used:

Male (without low income) = Total × 85% × 3/5

Calculation:

⇒ Total × 85/100 × 3/5 = 2295

⇒ Total × 255/500 = 2295

⇒ Total × 0.51 = 2295

⇒ Total = 2295 ÷ 0.51

⇒ Total = 4500

∴ Total students in College E = 4500.

4

What is the number of males without low income in College C if the total number of students in that college is 5000?

  1. ((a))

    1520

  2. ((b))

    3800

  3. ((c))

    1620

  4. ((d))

    1630

Show Answer
Answer: ((a))

1520

Given:

College C

Total students = 5000

Low income = 24%

Without low income = 100 − 24 = 76%

Ratio (Without low income) M : F = 2 : 3

Formula used:

Male (without low income) = Total × 76% × 2/5

Calculation:

⇒ Students without low income = 5000 × 76/100

⇒ = 3800

⇒ Males = 3800 × 2/5

⇒ = 1520

∴ Number of males without low income in College C = 1520.

5

Which college has the least number of female students with low income, if we assume that every college has same number of total students?

  1. ((a))

    B

  2. ((b))

    C

  3. ((c))

    D

  4. ((d))

    E

Show Answer
Answer: ((d))

E

Given:

Low income %:

A = 35%, M : F = 5 : 6

B = 25%, M : F = 3 : 5

C = 24%, M : F = 1 : 2

D = 19%, M : F = 3 : 2

E = 15%, M : F = 5 : 3

Assume total students in each college = 100

Formula used:

Female (low income) = Low income % × F/(M+F)

Calculation:

A: 35 × 6/11 = 19.09

B: 25 × 5/8 = 15.625

C: 24 × 2/3 = 16

D: 19 × 2/5 = 7.6

E: 15 × 3/8 = 5.625

Comparison:

19.09, 15.625, 16, 7.6, 5.625

⇒ Least = 5.625

∴ College E has the least number of female students with low income.

6

People who exercise influence over decisions made by others are known as:

  1. ((a))

    Opinion Followers

  2. ((b))

    Transmitters

  3. ((c))

    Receivers

  4. ((d))

    Opinion Leaders

Show Answer
Answer: ((d))

Opinion Leaders

The correct answer is 'Opinion Leaders'

Key Points

  • Opinion Leaders:
  • Opinion leaders are individuals who hold significant influence over others' attitudes, beliefs, or behaviors.
  • They are often perceived as credible, knowledgeable, and trustworthy, making their opinions influential in decision-making processes.
  • These individuals are usually well-informed about a particular topic or field, allowing them to guide others effectively.
  • Opinion leaders play a vital role in marketing, politics, and social settings by influencing consumer behavior, voter decisions, or societal trends.
  • They serve as intermediaries between mass media and the general public, amplifying messages and encouraging others to act.

Additional Information

  • Opinion Followers:
  • Opinion followers are individuals who are influenced by the opinions or decisions of others, particularly opinion leaders.
  • They do not exert influence themselves but instead rely on trusted sources to guide their decisions.
  • This option is incorrect as it describes the individuals being influenced, not those who exercise influence.
  • Transmitters:
  • Transmitters refer to entities or mediums that pass information from one source to another.
  • While they play a role in spreading information, they do not necessarily influence decisions as opinion leaders do.
  • Thus, this option is incorrect because it does not capture the element of influence over others' decisions.
  • Receivers:
  • Receivers are individuals or groups who receive messages or information from others but do not influence or guide decisions.
  • They are passive participants in communication, unlike opinion leaders who actively shape opinions.
  • This makes this option incorrect as it does not involve influencing others.

Important Points

  • Opinion leaders are crucial in the two-step flow of communication theory, where mass media messages are interpreted and disseminated by these leaders to a wider audience.
  • They can be found in various fields such as business (e.g., managers), politics (e.g., policymakers), or social media (e.g., influencers).
  • Identifying and engaging with opinion leaders is a key strategy in marketing and public relations to amplify messages effectively.
  • Their influence is often based on their expertise, social status, or personal connections within a community.
7

Which of the following is/are TRUE?
A. The Appeal to the Populace is a formal fallacy.
B. In the Red Herring fallacy, some distraction is used to mislead and confuse.
C. In the Appeal to Force fallacy, personalized criticism is made.
D. In the Strawman fallacy, force is used to win consent.
Choose the correct answer from the options given below:

  1. ((a))

    A and B only

  2. ((b))

    B only

  3. ((c))

    A, C and D only

  4. ((d))

    B and D only

Show Answer
Answer: ((b))

B only

The Correct answer is: B only

Key Points

  • Statement A: The Appeal to the Populace is a formal fallacy:
  • This statement is incorrect.
  • The Appeal to the Populace (also known as "argumentum ad populum") is not a formal fallacy but rather an informal fallacy. It occurs when someone argues that something is true or right because many people believe it to be so.
  • Formal fallacies are errors in the logical structure of an argument, while informal fallacies deal with the content or context of the argument.
  • Statement B: In the Red Herring fallacy, some distraction is used to mislead and confuse:
  • This statement is correct.
  • The Red Herring fallacy involves introducing irrelevant information or arguments to divert attention from the main issue.
  • It is often used intentionally to confuse or mislead the audience, steering the discussion away from the topic at hand.
  • For example, in a debate about climate change, someone might bring up unrelated topics like the economy to distract from discussing environmental policies.
  • Statement C: In the Appeal to Force fallacy, personalized criticism is made:
  • This statement is incorrect.
  • The Appeal to Force (also known as "argumentum ad baculum") is a fallacy where someone uses threats or force to compel agreement rather than presenting logical reasoning.
  • Personalized criticism is not a characteristic of this fallacy. It is more aligned with the Ad Hominem fallacy, where the argument attacks the person rather than addressing the issue.
  • Statement D: In the Strawman fallacy, force is used to win consent:
  • This statement is incorrect.
  • The Strawman fallacy occurs when someone misrepresents or oversimplifies another person's argument to make it easier to refute.
  • It does not involve the use of force; rather, it is about distorting the original argument and attacking the weaker version instead.
  • For example, if someone advocates for reducing military spending, a Strawman response might be, "You want to leave our country defenseless!"—which misrepresents the original argument.

Additional Information

  • Common Logical Fallacies:
  • Appeal to Authority: Arguing that something is true because an authority figure believes it, without providing evidence.
  • False Dichotomy: Presenting only two options when more alternatives exist.
  • Slippery Slope: Suggesting that one action will inevitably lead to a chain of undesirable events without evidence.
  • Post Hoc Fallacy: Assuming that because one event follows another, the first caused the second.
  • Formal vs. Informal Fallacies:
  • Formal Fallacies: Errors in the logical structure of an argument, such as affirming the consequent or denying the antecedent.
  • Informal Fallacies: Errors in reasoning that arise from the content or context, such as emotional appeals or irrelevant arguments.
  • Importance of Identifying Fallacies:
  • Recognizing fallacies can help improve critical thinking and prevent manipulation in discussions.
  • It ensures that arguments are based on sound reasoning and valid evidence rather than misleading tactics.
8

Which of the following is NOT a requirement for a proper sanitary landfill site?

  1. ((a))

    The area should not be geologically active.

  2. ((b))

    It should be located below the water table.

  3. ((c))

    It should not be very near to residential communities.

  4. ((d))

    It must be accessible to roads so that garbage can be delivered easily.

Show Answer
Answer: ((b))

It should be located below the water table.

The correct answer is 'It should be located below the water table.'

Key Points

  • Introduction to Sanitary Landfill Requirements:
  • A sanitary landfill is a waste disposal site designed to protect the environment by managing and isolating waste materials. Proper site selection is essential to minimize environmental damage and ensure public health safety.
  • Key considerations include geological stability, distance from water resources and communities, accessibility, and compliance with environmental regulations.
  • Explanation of the Correct Answer:
  • Sanitary landfills must not be located below the water table. This is because:
  • Placement below the water table increases the risk of groundwater contamination due to leachate—a liquid that forms when water filters through waste and absorbs harmful substances.
  • Contaminated groundwater can spread pollutants over large distances and pose a serious threat to drinking water supplies and ecosystems.
  • Proper landfill design often includes liners and leachate collection systems to prevent such contamination; however, site selection above the water table is a fundamental precaution.
  • Therefore, the correct answer is: "It should be located below the water table," as this is not a requirement but rather a condition to avoid.
  • Analysis of Other Options:
  • Geologically Active Areas:
  • Sanitary landfills must not be located in geologically active areas, such as fault zones or areas prone to earthquakes. Geological activity can compromise the structural integrity of the landfill, causing leaks or collapses that may lead to environmental damage.
  • This is a critical requirement to ensure the long-term stability of the landfill and to prevent hazardous materials from escaping into the surrounding environment.
  • Proximity to Residential Communities:
  • Sanitary landfills should not be located very close to residential communities. This is to minimize health risks, unpleasant odors, noise, and potential air pollution caused by waste decomposition and landfill operations.
  • Proper buffer zones between landfills and residential areas are typically mandated by environmental regulations to protect public health and quality of life.
  • Accessibility to Roads:
  • Sanitary landfills must be accessible by roads to facilitate the efficient transport of waste materials. Accessibility is crucial for operational efficiency and to reduce transportation costs.
  • Poor access can lead to logistical challenges and increased environmental impact due to longer travel distances or improper waste disposal practices.

Additional Information

  • Leachate Management:
  • Modern sanitary landfills are equipped with synthetic liners, clay barriers, and leachate collection systems to prevent groundwater contamination.
  • However, these systems are not foolproof, and site selection above the water table remains a critical safeguard.
  • Environmental Impact Assessment (EIA):
  • An EIA is often conducted before establishing a landfill to evaluate potential environmental and social impacts.
  • The assessment ensures that the site complies with all legal and environmental standards, including those related to geology, hydrology, and proximity to sensitive areas.
  • Waste Segregation and Recycling:
  • Before waste reaches a sanitary landfill, segregation and recycling processes should be implemented to minimize the volume of waste that needs to be disposed of.
  • This practice reduces the environmental footprint of landfills and extends their operational lifespan.
9

Arrange the following in ascending order of size:

A. Mini Computer

B. Notebook Computer

C. Desktop Computer

D. Tablet

Choose the correct answer from the options given below:

  1. ((a))

    D, B, A, C

  2. ((b))

    A, B, D, C

  3. ((c))

    D, B, C, A

  4. ((d))

    B, A, D, C

Show Answer
Answer: ((c))

D, B, C, A

The correct answer is: 3 - D, B, C, A

Understanding the arrangement of computing devices in ascending order of size requires a clear understanding of their dimensions, functionalities, and use cases. The devices mentioned—Tablet, Notebook Computer, Desktop Computer, and Mini Computer—are part of a broad spectrum of computing devices, ranging from portable and compact machines to larger systems designed for more robust computational tasks. The correct answer reflects the progression from the smallest device to the largest based on physical size.

Key Points

Explanation of the devices:

  • Tablet (D):
  • The smallest device in terms of physical size.
  • Designed for portability, tablets are handheld devices with touchscreens and compact dimensions.
  • They typically measure between 7 to 12 inches diagonally and are lightweight.
  • Primarily used for browsing, media consumption, and light computing tasks.
  • Examples include iPads and Android tablets.
  • Notebook Computer (B):
  • Slightly larger than tablets but still portable.
  • Notebook computers, also known as laptops, are compact, foldable devices with a built-in keyboard and display.
  • They typically range from 13 to 17 inches in size.
  • Used for personal and professional computing tasks, offering more functionality than tablets.
  • Examples include MacBooks and Dell Inspirons.
  • Desktop Computer (C):
  • Larger than notebooks and designed for stationary use.
  • Consists of separate components like a monitor, CPU, keyboard, and mouse.
  • Desktop computers are not portable and require a dedicated workspace.
  • Used for more intensive computing tasks, such as gaming, video editing, or office work.
  • Examples include HP desktops and iMacs.
  • Mini Computer (A):
  • The largest device in the list.
  • Mini computers are mid-sized systems, larger than desktops, but smaller than mainframes.
  • Primarily used in organizations for specific computational tasks, such as database management and scientific simulations.
  • They can handle multiple users and processes simultaneously.
  • Examples include systems like VAX computers and IBM Series.

Additional Information

  • The order is based on physical dimensions rather than computational power or functionality. While tablets are the smallest, they are often less powerful than larger devices like mini computers.
  • Mini computers, despite their larger size, are more specialized and less commonly used compared to desktops and notebooks.
  • Advancements in technology have blurred the lines between some of these categories, with laptops increasingly offering capabilities similar to desktops.
  • The size of computing devices often correlates with portability and the intended use case. Smaller devices are optimized for mobility, while larger systems focus on power and multi-user functionality.
  • Understanding these differences is essential for selecting the right device based on individual needs and professional requirements.
10

Complete the series:

I2Z, K4X, M7V, O11T, ________, S22P

  1. ((a))

    Q16R

  2. ((b))

    Q16P

  3. ((c))

    R15P

  4. ((d))

    R15T

Show Answer
Answer: ((a))

Q16R

Given:

Series: I2Z, K4X, M7V, O11T, ________

Formula used:

  1. The first letter follows alphabetical order with a step of +2.
  2. The number follows an incremental sequence: +2, +3, +4, etc.
  3. The last letter follows reverse alphabetical order with a step of -2.

Calculations:

Step 1: Identify the next first letter:

I, K, M, O → Alphabetical order with a step of +2

⇒ Next letter = O + 2 = S

Step 2: Identify the next number:

2, 4, 7, 11 → Incremental sequence (+2, +3, +4)

⇒ Next number = 11 + 5 = 16

Step 3: Identify the next last letter:

Z, X, V, T → Reverse alphabetical order with a step of -2

⇒ Next letter = T - 2 = R

∴ The next term in the series is Q16R.

11

Arrange the following in the ascending order of adoption according to the Transmission Model of Learning.

A. Exposure

B. Recall

C. Processing

D. Comprehension

E. Learning

Choose the correct answer from the options given below:

  1. ((a))

    A, B, C, D, E

  2. ((b))

    D, C, B, A, E

  3. ((c))

    C, D, B, A, E

  4. ((d))

    A, C, D, B, E

Show Answer
Answer: ((d))

A, C, D, B, E

The correct answer is - A, C, D, B, E

Key Points

  • Transmission Model of Learning is a step-by-step process that learners follow to acquire knowledge or skills effectively.
  • The given steps in the model are arranged in an ascending order as follows:
  • Exposure (A): The learner is introduced to the material for the first time.
  • Processing (C): The learner processes the information mentally, organizing and linking it with prior knowledge.
  • Comprehension (D): The learner begins to understand the material and its meaning.
  • Recall (B): The learner retrieves the information when needed, demonstrating memory retention.
  • Learning (E): Finally, the learner internalizes the knowledge or skills, integrating it into their cognitive framework.
  • The correct sequential order is therefore A, C, D, B, E.

Additional Information

  • Details of Each Step:
  • Exposure: Learners are exposed to new concepts through lectures, readings, or demonstrations.
  • Processing: This involves analyzing and synthesizing the information, often through active engagement like note-taking or discussions.
  • Comprehension: Learners develop an understanding of the material, making sense of its context and applications.
  • Recall: The ability to retrieve and use learned material when required, such as during exams or practical applications.
  • Learning: A deeper, long-term retention and application of knowledge or skills in real-world or problem-solving scenarios.
  • Importance: The Transmission Model of Learning ensures a structured and logical progression, facilitating effective knowledge acquisition.
12

Quantitative research can be represented as a research strategy that

  1. ((a))

    embodies a view of social reality as an external, objective reality

  2. ((b))

    emphasizes an inductive approach to the relationship between theory and research

  3. ((c))

    has rejected the practices and norms of natural scientific model

  4. ((d))

    embodies a view of social reality as a constantly shifting emergent property of individuals' creation

Show Answer
Answer: ((a))

embodies a view of social reality as an external, objective reality

The correct answer is - Quantitative research embodies a view of social reality as an external, objective reality

Key Points

  • Quantitative research
  • It is a research strategy that emphasizes objective measurement and the statistical, mathematical, or computational analysis of data.
  • This approach views social reality as an external and independent entity that can be studied objectively.
  • It relies on structured methods, such as surveys, experiments, and numerical data analysis, to test hypotheses or theories.
  • The findings are often generalized, making quantitative research valuable for studying patterns or trends in larger populations.

Additional Information

  • Key differences from qualitative research
  • Quantitative research focuses on numerical data and statistical analysis, while qualitative research emphasizes understanding social phenomena through non-numerical data like interviews or observations.
  • Quantitative methods aim for objectivity and reproducibility, whereas qualitative methods focus on subjective interpretations and context.
  • Deductive approach
  • Quantitative research often follows a deductive approach, where researchers start with a theory or hypothesis and test it through empirical data collection.
  • This contrasts with the inductive approach used in qualitative research, where theories emerge from observations.
  • Natural scientific model
  • Quantitative research aligns closely with the natural scientific model, emphasizing measurement, control, and reproducibility.
  • It often employs experimental designs to establish cause-and-effect relationships.
13

Identify the variables that pertain to interval scale of measurement

A. gender

B. date of birth of a person

C. religion

D. time of the day

Choose the correct answer from the options given below:

  1. ((a))

    A and B only

  2. ((b))

    B only

  3. ((c))

    B, C and D only

  4. ((d))

    B and D only

Show Answer
Answer: ((d))

B and D only

The correct answer is - B and D only

Key Points

  • Interval Scale of Measurement
  • An interval scale is a level of measurement where the difference between values is meaningful and measurable, but there is no true zero point.
  • Examples include temperature (in Celsius or Fahrenheit), time of the day, or dates, as they have equal intervals but lack an absolute zero.
  • Explanation of Variables
  • Gender: This is a categorical variable (nominal scale), not measured on an interval scale.
  • Date of Birth: Dates can be measured on an interval scale since differences between dates are meaningful and measurable.
  • Religion: This is a categorical variable (nominal scale), not measured on an interval scale.
  • Time of the Day: Time is measured on an interval scale because differences between times are meaningful, and it does not have a true zero.

Additional Information

  • Scales of Measurement
  • Nominal Scale: Used for labeling variables without any quantitative value (e.g., gender, religion).
  • Ordinal Scale: Represents ordered categories where the intervals between values are not known (e.g., rankings).
  • Interval Scale: Represents ordered categories with meaningful intervals but no true zero (e.g., temperature, time of day).
  • Ratio Scale: Includes all properties of the interval scale but with a true zero point (e.g., height, weight).
  • Key Features of Interval Scale
  • Allows for addition and subtraction operations.
  • Does not support meaningful multiplication or division due to the absence of a true zero.
14

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R

Assertion A: Earth's atmosphere keeps the planet warm mainly by reflecting the incoming solar radiation.

Reason R: Greenhouse gases absorb longwave radiation emitted from the earth's surface.

In the light of the above statements, choose the most appropriate answer from the options given below

  1. ((a))

    Both A and R are correct and R is the correct explanation of A

  2. ((b))

    Both A and R are correct but R is NOT the correct explanation of A

  3. ((c))

    A is correct but R is not correct

  4. ((d))

    A is not correct but R is correct

Show Answer
Answer: ((d))

A is not correct but R is correct

The correct option is '4) A is not correct but R is correct'.

Key Points

  • Assertion A: Earth's atmosphere keeps the planet warm mainly by reflecting the incoming solar radiation.
  • This statement is incorrect.
  • Reflection vs. Absorption: While Earth's atmosphere does reflect a portion of incoming solar radiation (due to clouds, aerosols, and gases), this is not the primary mechanism by which the atmosphere keeps the planet warm. Instead, the atmosphere retains heat through the greenhouse effect, which involves the absorption and re-emission of infrared radiation.
  • Greenhouse Effect: The warming of Earth is primarily due to the greenhouse effect, where greenhouse gases (like carbon dioxide, methane, and water vapor) trap heat radiated from Earth's surface, preventing it from escaping into space.
  • Reason R: Greenhouse gases absorb longwave radiation emitted from the Earth's surface.
  • This statement is correct.
  • Mechanism of the Greenhouse Effect: Solar radiation enters Earth's atmosphere as shortwave radiation. The Earth's surface absorbs this energy and re-emits it as longwave (infrared) radiation. Greenhouse gases absorb and re-radiate this longwave radiation, trapping heat and warming the planet.
  • Role of Greenhouse Gases: Gases such as water vapor, carbon dioxide, and methane are critical in regulating Earth's temperature by trapping heat in the atmosphere. Without these gases, Earth's average temperature would be significantly colder.
  • Evaluation of the Relationship Between A and R:
  • The assertion (A) is incorrect because it incorrectly attributes the warming effect of Earth's atmosphere to the reflection of incoming solar radiation rather than the greenhouse effect.
  • The reason (R) is correct because it accurately describes the role of greenhouse gases in absorbing longwave radiation emitted by Earth's surface, which is the primary mechanism of the greenhouse effect.
  • Since the assertion is incorrect but the reason is correct, the correct answer is option 4.

Additional Information

  • Reflection in the Atmosphere: Approximately 30% of incoming solar radiation is reflected back into space by clouds, atmospheric particles, and Earth's surface (albedo effect). However, this reflection does not significantly contribute to warming the planet.
  • Importance of the Greenhouse Effect: Without the greenhouse effect, Earth's average surface temperature would be around -18°C, making it inhospitable for most life forms. The current average temperature is about 15°C due to the greenhouse effect.
  • Global Warming: Human activities, such as burning fossil fuels and deforestation, have increased concentrations of greenhouse gases, enhancing the greenhouse effect and causing global warming and climate change.
15

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R

Assertion A: Intelligence is, to some extent, an inherited characteristic.

Reason R: Environment also has a significant influence on intelligence.

In the light of the above statements, choose the most appropriate answer from the options given below

  1. ((a))

    Both A and R are correct and R is the correct explanation of A

  2. ((b))

    Both A and R are correct but R is NOT the correct explanation of A

  3. ((c))

    A is correct but R is not correct

  4. ((d))

    A is not correct but R is correct

Show Answer
Answer: ((b))

Both A and R are correct but R is NOT the correct explanation of A

The correct answer is - Both A and R are correct but R is NOT the correct explanation of A

Key Points

  • Assertion A: Intelligence is, to some extent, an inherited characteristic.
  • Research shows that intelligence has a significant genetic component, as evident from studies on identical twins and family inheritance patterns.
  • Genetic inheritance explains why children often have similar IQ levels as their parents.
  • Reason R: Environment also has a significant influence on intelligence.
  • Environmental factors such as education, nutrition, and exposure to stimulating experiences play a crucial role in shaping intelligence.
  • Examples include early childhood education and enriched learning environments, which improve cognitive abilities.
  • Although both statements are correct, Reason R does not directly explain why intelligence is inherited, which makes R a separate but valid point.

Additional Information

  • Heritability of Intelligence
  • The heritability of intelligence is estimated to be approximately 50-80%, meaning that genetic factors contribute significantly to IQ differences among individuals.
  • Studies on twins and adopted children provide strong evidence for the genetic basis of intelligence.
  • Environmental Influence on Intelligence
  • Factors such as socioeconomic status, access to education, and family environment significantly impact intelligence.
  • For example, children raised in supportive and resource-rich environments tend to perform better in cognitive assessments.
  • Interaction of Genes and Environment
  • The relationship between genetics and environment is interactive, meaning that genetic predispositions may influence how individuals respond to environmental factors.
  • This concept is often referred to as gene-environment interaction.
16

Arrange the following in terms of increasing order of the minimum number of variables required for their computation:

A. Mean

B. First order correlation

C. Correlation coefficient

D. Second order correlation

Choose the correct answer from the options given below:

  1. ((a))

    A, B, C, D

  2. ((b))

    B, A, C, D

  3. ((c))

    A, C, B, D

  4. ((d))

    B, D, C, A

Show Answer
Answer: ((c))

A, C, B, D

The correct answer is - A, C, B, D

Key Points

  • Mean
  • The computation of the mean only requires the sum of all data points and the number of data points.
  • Thus, it requires the minimum number of variables for calculation.
  • Correlation Coefficient
  • Requires two variables (X and Y) to compute their relationship.
  • Hence, it requires more variables than the mean but fewer than higher-order correlations.
  • First-order correlation
  • Involves controlling for the influence of one additional variable while calculating the correlation between two variables.
  • This increases the number of variables required compared to the correlation coefficient.
  • Second-order correlation
  • Extends the first-order correlation by controlling for the influence of two additional variables.
  • This requires the highest number of variables for computation among the given options.

Additional Information

  • Mean
  • Formula: Mean = (Sum of all observations) / (Number of observations).
  • It is a basic statistical measure of central tendency.
  • Correlation coefficient
  • Measures the strength and direction of a linear relationship between two variables.
  • Ranges between -1 and +1.
  • First-order correlation
  • Accounts for the effect of one additional variable while analyzing the correlation between two main variables.
  • Used to eliminate potential confounding effects.
  • Second-order correlation
  • Controls for two additional variables when examining the relationship between the primary variables.
  • Useful in complex analyses where multiple confounders exist.
17

Arrange the following states of India in the increasing order of total installed capacity of renewable power as of August, 2025.

A. Uttar Pradesh

B. Gujrat

C. Tamil Nadu

D. Karnataka

Choose the correct answer from the options given below:

  1. ((a))

    A, B, C, D

  2. ((b))

    D, C, B, A

  3. ((c))

    A, D, C, B

  4. ((d))

    C, A, D, В

Show Answer
Answer: ((c))

A, D, C, B

The correct answer is: A, D, C, B

India is one of the leading countries in the world when it comes to renewable energy generation. The renewable energy sector in India includes power generation from sources such as wind, solar, biomass, hydroelectricity, and waste-to-energy. As of August 2025, the installed capacity of renewable energy varies significantly across Indian states depending on their geographical location, resource availability, and state-level policies.

Key Points

Analysis of Installed Capacity:

  • Uttar Pradesh (A):
  • Uttar Pradesh has relatively lower installed renewable power capacity compared to other states mentioned in the question.
  • Most of its renewable energy comes from biomass and small-scale solar projects due to limited availability of wind resources.
  • The state has been gradually expanding its solar initiatives, particularly in rural areas, but its overall capacity remains lower than Karnataka, Tamil Nadu, and Gujarat.
  • Karnataka (D):
  • Karnataka is one of India’s leading states in renewable energy generation, particularly in solar and wind power.
  • It has implemented large-scale solar parks such as the Pavagada Solar Park, contributing significantly to its renewable capacity.
  • Although it has a higher capacity compared to Uttar Pradesh, it is lower than Tamil Nadu and Gujarat due to their extensive wind and solar installations.
  • Tamil Nadu (C):
  • Tamil Nadu is a major contributor to India’s renewable energy, particularly in wind power. The state has favorable coastal conditions that support large-scale wind farms.
  • It is also expanding its solar capacity through projects such as floating solar installations and rooftop solar initiatives.
  • While Tamil Nadu has significant installed capacity, it still ranks below Gujarat, which has aggressively invested in large-scale renewable projects.
  • Gujarat (B):
  • Gujarat is a leader in renewable energy generation, especially in solar power. The state has abundant sunlight and vast land resources, making it ideal for large-scale solar installations.
  • The state has implemented initiatives such as the Gujarat Solar Park and has invested heavily in wind power as well.
  • It has one of the highest installed capacities of renewable energy in India, surpassing Tamil Nadu, Karnataka, and Uttar Pradesh.

Additional Information

  • The renewable energy sector in India is supported by favorable policies such as the National Solar Mission and various state-level initiatives aimed at achieving the country’s renewable energy targets.
  • Gujarat and Tamil Nadu benefit from their geographical locations, which provide suitable conditions for wind and solar power generation.
  • Karnataka’s renewable energy capacity has grown significantly in recent years due to investments in solar parks and wind farms.
  • Uttar Pradesh, despite being a populous state, has lower capacity due to limited wind resources and slower adoption of large-scale renewable projects.
  • India aims to achieve 500 GW of non-fossil fuel capacity by 2030 as part of its commitment to combat climate change and transition to sustainable energy sources.
18

Which one of the following is NOT the role of Higher Education Institutions for promoting inclusive practices?

  1. ((a))

    To ensure a barrier-free and an inclusive mechanism to help in the admission process.

  2. ((b))

    To take appropriate measures to ensure universal accessibility in infrastructure systems.

  3. ((c))

    To make compulsory provisions for teacher training based on Universal Design of Learning (UDL).

  4. ((d))

    To facilitate participation in corporate life on an equal basis with others.

Show Answer
Answer: ((c))

To make compulsory provisions for teacher training based on Universal Design of Learning (UDL).

The correct answer is - To make compulsory provisions for teacher training based on Universal Design of Learning (UDL).

Key Points

  • Higher Education Institutions (HEIs) are primarily focused on ensuring inclusivity by providing equal opportunities for all students.
  • While Universal Design of Learning (UDL) is an effective approach to enhance accessibility in education, making teacher training on UDL mandatory is not explicitly recognized as a core role of HEIs in promoting inclusivity.
  • Key roles of HEIs in inclusivity include:
  • Ensuring a barrier-free admission process.
  • Providing universal accessibility in infrastructure systems.
  • Facilitating equal participation in corporate life and other opportunities for all students.
  • Compulsory teacher training on UDL may be an institutional or policy-driven initiative but is not a mandated role of HEIs directly related to inclusivity promotion.

Additional Information

  • Universal Design of Learning (UDL)
  • UDL is a framework aimed at providing all learners with equal opportunities to succeed by addressing diverse learning needs.
  • It involves creating curriculum that accommodates a variety of learning styles, ensuring flexibility in the ways information is presented, students respond or demonstrate knowledge, and students are engaged.
  • Inclusive Practices in HEIs
  • Inclusive practices ensure that education systems are accessible to all students, including those with special needs or disabilities.
  • Such practices focus on providing physical accessibility, inclusive curricula, and support systems to foster equal participation.
  • Role of HEIs
  • They must implement policies that eliminate discrimination and promote diversity.
  • Ensure availability of resources such as assistive technologies, flexible learning environments, and counseling support for students with varied needs.
19

Which of the following are system software?

A. Compiler

B. Word Processor

C. Interpreter

D. Linker

E. Assembler

Choose the correct answer from the options given below:

  1. ((a))

    A, C, D and E only

  2. ((b))

    A, B and D only

  3. ((c))

    A, B, C and E only

  4. ((d))

    B, C and D only

Show Answer
Answer: ((a))

A, C, D and E only

The Correct answer is: Option 1 - A, C, D, and E only

Key Points

  • Understanding System Software:
  • System software refers to software designed to provide a platform for other software. It operates and controls computer hardware, enabling the functioning of application software.
  • Examples of system software include compilers, interpreters, linkers, and assemblers.
  • Analysis of the Options:
  • A. Compiler:
  • This statement is correct.
  • A compiler is system software that translates high-level programming language code (e.g., C++, Python) into machine code that a computer can execute.
  • It is essential for executing programs written in high-level languages.
  • B. Word Processor:
  • This statement is incorrect.
  • A word processor (e.g., Microsoft Word) is application software, not system software.
  • It is used for creating, editing, and formatting text documents, and it relies on system software to run but is not part of it.
  • C. Interpreter:
  • This statement is correct.
  • An interpreter is system software that translates and executes code line-by-line in real-time.
  • Unlike a compiler, it does not generate a separate machine code file; it directly executes the code.
  • D. Linker:
  • This statement is correct.
  • A linker is system software that combines multiple object files (generated by a compiler) into a single executable program.
  • It resolves references between files and ensures that the program runs correctly.
  • E. Assembler:
  • This statement is correct.
  • An assembler is system software that converts assembly language code into machine code.
  • It is a critical tool for low-level programming and helps create executable programs for specific hardware architectures.

Additional Information

  • Difference Between System Software and Application Software:
  • System Software: Provides a platform for application software and interacts directly with hardware (e.g., operating systems, compilers, interpreters).
  • Application Software: Designed for end-users to perform specific tasks (e.g., word processors, web browsers, video games).
  • Types of System Software:
  • Operating Systems: Manage hardware resources and provide services to application software (e.g., Windows, Linux).
  • Utility Programs: Perform specific tasks to maintain the computer system (e.g., antivirus, disk cleanup tools).
  • Language Processors: Translate programming code into machine code (e.g., compilers, interpreters, assemblers).
  • Importance of System Software:
  • Ensures hardware and software compatibility.
  • Provides an environment for application software to function effectively.
  • Handles resource allocation, scheduling, and system security.
20

Which of the following is NOT a correct statement-

  1. ((a))

    Operant behavior is emitted in the presence of discriminative stimuli.

  2. ((b))

    Learning is the encoding of information in long-term-memory.

  3. ((c))

    Language doesn't play any role in self-regulation.

  4. ((d))

    Respondent behavior is elicited in the presence of unconditioned stimuli.

Show Answer
Answer: ((c))

Language doesn't play any role in self-regulation.

The correct answer is - Language doesn't play any role in self-regulation.

Key Points

  • Language plays a critical role in self-regulation.
  • It helps in organizing thoughts, setting goals, and guiding behavior through internal dialogues.
  • Self-regulation involves using language for processes such as planning, problem-solving, and self-monitoring.
  • The statement that "Language doesn't play any role in self-regulation" is incorrect because:
  • Studies show that language allows individuals to reflect on their actions and modify them accordingly.
  • Children, for example, use self-directed speech (talking to themselves) as a tool for self-regulation.

Additional Information

  • Operant behavior
  • It is emitted in the presence of discriminative stimuli.
  • Discriminative stimuli signal the availability of reinforcement or punishment for a specific behavior.
  • Learning
  • Defined as the process of encoding information into long-term memory.
  • It involves acquiring knowledge or skills through experience, study, or teaching.
  • Respondent behavior
  • Elicited by the presence of unconditioned stimuli.
  • For example, salivating when exposed to the smell of food is a respondent behavior triggered by an unconditioned stimulus.
21

Match the LIST-I with LIST-II

LIST-I (Standard Normal Variate)LIST-II (Probability)
A.1Z+1-1 \leq Z \leq +1I.0.5\sim 0.5
B.1Z+2-1 \leq Z \leq +2II.0.16\sim 0.16
C.<Z0-\infty < Z \leq 0III.0.68\sim 0.68
D.<Z1-\infty < Z \leq -1IV.0.82\sim 0.82

Choose the correct answer from the options given below:

  1. ((a))

    A-I, B-II, C-III, D-IV

  2. ((b))

    A-II, B-III, C-IV, D-I

  3. ((c))

    A-III, B-IV, C-I, D-II

  4. ((d))

    A-III, B-II, C-I, D-IV

Show Answer
Answer: ((c))

A-III, B-IV, C-I, D-II

The correct answer is – A-III, B-IV, C-I, D-II

Key Points

  • Standard Normal Distribution
  • The standard normal variate Z follows a normal distribution with mean = 0 and standard deviation = 1.
  • Total area under the normal curve is 1, representing total probability.
  • Probabilities for different Z-intervals are obtained using the standard normal distribution table.
  • Interval-wise Probability Calculation
  • A: −1 ≤ Z ≤ 1
  • From the Z-table: P(Z ≤ 1) ≈ 0.84 and P(Z ≤ −1) ≈ 0.16.
  • Therefore, P(−1 ≤ Z ≤ 1) = 0.84 − 0.16 = 0.68.
  • Hence, A → III.
  • B: −1 ≤ Z ≤ 2
  • From the Z-table: P(Z ≤ 2) ≈ 0.98 and P(Z ≤ −1) ≈ 0.16.
  • Thus, P(−1 ≤ Z ≤ 2) = 0.98 − 0.16 = 0.82.
  • Hence, B → IV.
  • C: −∞ < Z ≤ 0
  • The normal distribution is symmetric about Z = 0.
  • Exactly half of the total area lies to the left of the mean.
  • Therefore, P(Z ≤ 0) = 0.50.
  • Hence, C → I.
  • D: −∞ < Z ≤ −1
  • From the Z-table, cumulative probability up to Z = −1 is approximately 0.16.
  • This represents the left-tail probability beyond one standard deviation below the mean.
  • Hence, D → II.

Additional Information

  • Important Standard Normal Values
  • P(Z ≤ −1) ≈ 0.16
  • P(Z ≤ 0) = 0.50
  • P(Z ≤ 1) ≈ 0.84
  • P(Z ≤ 2) ≈ 0.98
  • Symmetry Property
  • For any value a, P(Z ≤ −a) = 1 − P(Z ≤ a).
  • This property simplifies calculations for negative Z-values.
22

Match the LIST-I with LIST-II

LIST-ILIST-II
A. SimplexI. Multiple bits transmitted over several channels at the same time
B. SerialII. Data transmission in one direction only
C. Full-duplexIII. Data is sent one bit at a time over a single channel
D. ParallelIV. Data transmission in two directions at the same time

Choose the correct answer from the options given below:

  1. ((a))

    A-II, B-I, C-IV, D-III

  2. ((b))

    A-II, B-III, C-IV, D-I

  3. ((c))

    A-III, B-II, C-I, D-IV

  4. ((d))

    A-III, B-II, C-IV, D-I

Show Answer
Answer: ((b))

A-II, B-III, C-IV, D-I

The correct answer is: A-II, B-III, C-IV, D-I.

Key Points

LIST-I (Transmission Mode)LIST-II (Description)
(A) Simplex(II) Data transmission in one direction only
(B) Serial(III) Data is sent one bit at a time over a single channel
(C) Full-duplex(IV) Data transmission in two directions at the same time
(D) Parallel(I) Multiple bits transmitted over several channels at the same time

 

 

 

 

 

 

 

Detailed Explanation

  • Simplex (A-II):
  • In simplex communication, data flows in only one direction, meaning there is no capability for two-way communication.
  • This mode is commonly used in systems where feedback or acknowledgment is not required, such as broadcasting or keyboard-to-monitor communication.
  • Example: Television broadcasting, where the data flows from the station to the viewer.
  • Serial (B-III):
  • In serial transmission, data is sent one bit at a time over a single communication channel.
  • This method is slower than parallel transmission but is more cost-effective and reliable over long distances.
  • It is widely used in communication protocols like USB, RS-232, and Ethernet.
  • Example: Data communication between a computer and a modem.
  • Full-Duplex (C-IV):
  • Full-duplex communication allows simultaneous data transmission in both directions.
  • This mode is ideal for applications that require real-time two-way communication, such as telephony or video conferencing.
  • Example: Telephone communication, where both users can speak and listen simultaneously.
  • Parallel (D-I):
  • Parallel transmission involves sending multiple bits of data simultaneously over several communication channels.
  • This method is faster than serial transmission but is suitable for short distances due to issues like signal degradation and synchronization.
  • Example: Communication between a computer and its printer using a parallel port.
23

Match the LIST-I with LIST-II

LIST-I (Zone)LIST-II (Day time sound limits in dB as per Noise Pollution Rules, 2000)
A. IndustrialI.50
B. CommercialII.65
C. ResidentialIII.75
D. SilenceIV.55
<br>

Choose the correct answer from the options given below:

  1. ((a))

    A-III, B-II, C-IV, D-I

  2. ((b))

    A-III, B-IV, C-II, D-I

  3. ((c))

    A-I, B-IV, C-II, D-III

  4. ((d))

    A-I, B-II, C-IV, D-III

Show Answer
Answer: ((a))

A-III, B-II, C-IV, D-I

The correct answer is: A-III, B-II, C-IV, D-I

Key Points

LIST-I (Zone)LIST-II (Day time sound limits in dB as per Noise Pollution Rules, 2000)
A. IndustrialIII. 75
B. CommercialII. 65
C. ResidentialIV. 55
D. SilenceI. 50

 

 

 

 

 

Additional Information

  • Overview of Noise Pollution Rules, 2000:
  • Noise pollution refers to unwanted or harmful sound levels that can have adverse effects on human health and environmental quality.
  • The Noise Pollution (Regulation and Control) Rules, 2000 were established to regulate and manage noise pollution in India and specify permissible sound levels for different zones during day and night.
  • The rules categorize areas into four zones: Industrial, Commercial, Residential, and Silence zones, with specific sound limits for each.
  • Explanation of Sound Limits:
  • Industrial Zone: The permissible sound limit during the daytime in industrial zones is 75 dB. These areas are designated for manufacturing activities and industrial operations, which inherently involve higher noise levels.
  • Commercial Zone: The permissible sound limit during the daytime in commercial zones is 65 dB. These areas are meant for business activities, offices, and markets where moderate noise is expected.
  • Residential Zone: The permissible sound limit during the daytime in residential zones is 55 dB. These areas are meant for living spaces, where lower noise levels are required to ensure peaceful living conditions.
  • Silence Zone: The permissible sound limit during the daytime in silence zones is 50 dB. Silence zones include areas around hospitals, educational institutions, and courts, where minimal noise is necessary to maintain focus and tranquility.
  • Significance of the Noise Pollution Rules:
  • These rules help protect public health, especially by preventing hearing loss, stress, and other health issues caused by excessive noise exposure.
  • They aim to maintain a balanced environment by regulating noise in different zones according to their purpose and requirements.
  • Adherence to these rules ensures a better quality of life, particularly in urban areas where noise pollution is more prevalent.
24

McLuhan's conception of a new form of social organization emerging due to instantaneous electronic media connecting the entire world into one great social, political, and cultural system, is known as:

  1. ((a))

    Global Village

  2. ((b))

    Global City

  3. ((c))

    Global District

  4. ((d))

    Global Block

Show Answer
Answer: ((a))

Global Village

The correct answer is 'Global Village'

Key Points

  • Global Village:
  • The term "Global Village" was popularized by Marshall McLuhan, a Canadian philosopher and media theorist, in his work on the effects of communication technology on human society.
  • McLuhan used this concept to describe how instantaneous electronic communication (e.g., the internet, television, and other digital media) connects individuals across the globe, creating a sense of closeness and shared experiences despite physical distances.
  • In a "Global Village," the world functions as a single, interconnected community where events in one part of the globe can instantly affect other regions.
  • This idea reflects the transformative impact of media technologies, which have compressed time and space, enabling people to interact and share information in real time.
  • The concept also highlights the blending of cultures, ideas, and values on a global scale, fostering a sense of global unity while also presenting challenges such as cultural homogenization.

Additional Information

  • Global City:
  • The term "Global City" refers to urban centers that are key nodes in the global economic system, such as New York, London, or Tokyo.
  • These cities serve as hubs for finance, trade, culture, and communication, influencing global trends and decision-making.
  • While the "Global Village" focuses on the interconnectedness of the entire world through media, the "Global City" emphasizes specific urban areas that drive global economic and cultural processes.
  • Thus, "Global City" is a different concept and does not align with McLuhan's idea of a connected world.
  • Global District:
  • The term "Global District" is not commonly used in academic or theoretical discussions on globalization or media studies.
  • It might imply a smaller or localized area with global connections, but it does not encapsulate the broader, interconnected global network described by McLuhan as the "Global Village."
  • Therefore, this option is incorrect and does not pertain to the concept introduced by McLuhan.
  • Global Block:
  • "Global Block" is not a recognized term in the context of McLuhan's theories or global communication studies.
  • It could be interpreted as a grouping of countries or regions (similar to trade blocs or political alliances like the EU or ASEAN), but this is unrelated to the idea of a world interconnected by media.
  • This term fails to capture McLuhan's vision of a world unified through electronic media and is therefore incorrect.

Important Points

  • Marshall McLuhan's concept of the "Global Village" is deeply rooted in his analysis of media as "extensions" of human senses, where electronic media act as extensions of the nervous system.
  • He famously coined the phrase "the medium is the message," emphasizing that the nature of a medium itself (rather than its content) shapes human interaction and societal structures.
  • The idea of the "Global Village" has become increasingly relevant in the digital age, as social media platforms, streaming services, and other technologies continue to shrink the perceived size of the world.
  • While the concept highlights the positive aspects of global connectedness, it also raises concerns about privacy, surveillance, and the potential loss of cultural diversity.
  • The "Global Village" is a cornerstone of communication theory and remains influential in discussions about globalization, technology, and culture.
25

Arrange the following in chronological order:

A. RPWD ACT

B. RTE ACT

C. RCI ACT

D. PWD ACT

E. SDG Adoption by India

Choose the correct answer from the options given below:

  1. ((a))

    A, B, C, D, E

  2. ((b))

    C, D, E, A, B

  3. ((c))

    C, D, B, E, A

  4. ((d))

    E, A, C, D, B

Show Answer
Answer: ((c))

C, D, B, E, A

The correct answer is - RCI Act, PWD Act, RTE Act, SDG Adoption by India, RPWD Act

Key Points

  • RCI Act (1992)
  • The Rehabilitation Council of India (RCI) Act was enacted in 1992 to regulate the training of professionals in the field of rehabilitation and special education.
  • PWD Act (1995)
  • The Persons with Disabilities (Equal Opportunities, Protection of Rights and Full Participation) Act was enacted in 1995.
  • It was India's first comprehensive legislation addressing the rights of persons with disabilities.
  • RTE Act (2009)
  • The Right of Children to Free and Compulsory Education (RTE) Act was passed in 2009.
  • It ensures free and compulsory education for children aged 6 to 14 years in India.
  • SDG Adoption by India (2015)
  • India formally adopted the United Nations' Sustainable Development Goals (SDGs) in 2015.
  • The SDGs aim to achieve sustainable development for all by 2030.
  • RPWD Act (2016)
  • The Rights of Persons with Disabilities (RPWD) Act was enacted in 2016 as a successor to the PWD Act.
  • It aligns with the United Nations Convention on the Rights of Persons with Disabilities (UNCRPD).

Additional Information

  • Rehabilitation Council of India (RCI)
  • The RCI Act ensures the standardization of training programs for professionals working with persons with disabilities.
  • Only trained and qualified professionals are permitted to practice in the field of rehabilitation.
  • Rights of Persons with Disabilities (RPWD) Act
  • This Act expanded the categories of disabilities from 7 to 21, ensuring greater inclusivity.
  • It mandates a reservation of 4% for persons with disabilities in government jobs and education.
  • Sustainable Development Goals (SDGs)
  • There are 17 SDGs aimed at addressing global challenges such as poverty, inequality, and climate change.
  • Goal 4 focuses on ensuring inclusive and equitable quality education for all.
26

Identify the correct mathematical statement(s):

A. The expression 34+536+7144+......+175184+198100\frac{3}{4} + \frac{5}{36} + \frac{7}{144} +......+ \frac{17}{5184} + \frac{19}{8100} is equal to 0.09.

B. The value of xx1+1x+1+2x1x2\frac{x}{x-1} + \frac{1}{x+1} + \frac{2x}{1-x^2} is 1.

C. The value of 3.8-(4.2÷0.7×3)+5×2÷0.5 is 5.6.

D. (3.63)2(2.37)23.63+2.37\frac{(3.63)^2 -(2.37)^2}{3.63+2.37} is equal to 6.

Choose the correct answer from the options given below:

  1. ((a))

    A and C only

  2. ((b))

    B only

  3. ((c))

    B and D only

  4. ((d))

    C and D only

Show Answer
Answer: ((b))

B only

Shortcut Trick

Statement A: Telescoping series Σ (1/n2 − 1/(n+1)2) = 1 − 1/100 = 0.99 (False, given 0.09).

Statement B: Simplified sum [x(x+1) + (x−1) − 2x] / (x2−1) = (x2−1) / (x2−1) = 1 (True).

Statement C: BODMAS result 3.8 − (6 × 3) + 20 = 5.8 (False, given 5.6).

Statement D: Algebraic simplification (a2−b2)/(a+b) = a−b = 3.63 − 2.37 = 1.26 (False, given 6).

Only Statement B is mathematically correct.

∴ The correct answer is B only.

Alternate Method

Given: Statements A, B, C, D.

Formula Used:

  1. Telescoping Series: 1/(n2 × (n+1)2) = (1/n2 − 1/(n+1)2)/(2n+1).
  2. a2 − b2 = (a − b)(a + b).
  3. BODMAS rule for order of operations.

x/(x−1) + 1/(x+1) + 2x/(1−x²) Simplified Value of B = 1

Checking Statement A:

⇒ Term Tn = (2n+1) / (n2 × (n+1)2) = 1/n2 − 1/(n+1)2

⇒ Sum = (1/12 − 1/22) + (1/22 − 1/32) + ... + (1/92 − 1/102)

⇒ Sum = 1 − 1/100 = 0.99 ≠ 0.09. (Incorrect)

Checking Statement B:

⇒ x/(x−1) + 1/(x+1) + 2x/(1−x2) = x/(x−1) + 1/(x+1) − 2x/(x2−1)

⇒ [x(x+1) + 1(x−1) − 2x] / (x2−1) = [x2 + x + x − 1 − 2x] / (x2−1)

⇒ (x2 − 1) / (x2 − 1) = 1. (Correct)

Checking Statement C:

⇒ 3.8 − (4.2 ÷ 0.7 × 3) + 5 × 2 ÷ 0.5

⇒ 3.8 − (6 × 3) + 10 ÷ 0.5 = 3.8 − 18 + 20 = 5.8 ≠ 5.6. (Incorrect)

Checking Statement D:

⇒ (3.632 − 2.372) / (3.63 + 2.37) = (3.63 − 2.37)(3.63 + 2.37) / (3.63 + 2.37)

⇒ 3.63 − 2.37 = 1.26 ≠ 6. (Incorrect)

∴ The correct answer is B only.

Additional Information

Telescoping Series

A series where most terms cancel out, leaving only the first and last parts. General form often looks like Σ[f(n) − f(n+1)].

Algebraic Identity: Difference of Squares

The expression a2 − b2 is always equal to (a − b)(a + b), which helps in simplifying complex divisions.

BODMAS Rule

Determines the sequence of operations: Brackets, Orders (powers/roots), Division, Multiplication, Addition, and Subtraction.

Rational Expressions

Adding or subtracting fractions with variables requires finding a common denominator, often by factoring the existing denominators.

27

Which of the following is related to computer software?

  1. ((a))

    Spreadsheet

  2. ((b))

    Mouse

  3. ((c))

    Stylus

  4. ((d))

    Pen drive

Show Answer
Answer: ((a))

Spreadsheet

The correct answer is 'Spreadsheet'

Key Points

  • Spreadsheet:
  • A spreadsheet is a type of computer software used for organizing, analyzing, and storing data in tabular form.
  • It consists of rows and columns where users can enter data, apply formulas, and perform calculations.
  • Popular spreadsheet software includes Microsoft Excel, Google Sheets, and LibreOffice Calc.
  • Spreadsheets allow for data manipulation, visualization (e.g., charts and graphs), and advanced functions such as pivot tables and macros.
  • They are widely used in fields such as finance, accounting, project management, and data analysis.
  • Being a software application, spreadsheets are a key component of computer software systems designed for productivity.

Additional Information

  • Mouse:
  • A mouse is a hardware device used to interact with a computer system by controlling the on-screen pointer.
  • It is an input device and not related to computer software. It enables actions such as clicking, dragging, and scrolling.
  • Common types of computer mice include optical mice, wireless mice, and trackball mice.
  • Stylus:
  • A stylus is a hardware tool used for input on touchscreen devices, such as tablets, smartphones, and graphics tablets.
  • It is a physical pen-like device that allows users to draw, write, or select elements on a screen.
  • While it interacts with computer software, the stylus itself is not software but a peripheral device.
  • Pen Drive:
  • A pen drive is a portable hardware device used for storing and transferring digital files between computers.
  • It is categorized as an external storage device, not software.
  • Pen drives are commonly used to store documents, images, videos, and other types of data.

Important Points

  • Computer software refers to programs and applications that enable a computer to perform specific tasks.
  • It can be categorized into system software (e.g., operating systems), application software (e.g., word processors, spreadsheets), and utility software (e.g., antivirus programs).
  • Hardware devices such as mouse, stylus, and pen drives are physical tools that interact with software but are not software themselves.
  • Understanding the distinction between software and hardware is crucial for comprehending the components of computer systems.
28

Match the LIST-I with LIST-II

LIST-I (Schedule of Reinforcement)LIST-II (Example)
A. Fixed ratioI. Individuals are reinforced for the first response they make after various time intervals have passed.
B. Fixed intervalII. Responses occur a certain number of times before reinforcement.
C. Variable intervalIII. The reinforcement may occur after any number of responses.
D. Variable ratioIV. No reinforcement is given until a certain interval of time has elapsed.

Choose the correct answer from the options given below:

  1. ((a))

    A-II, B-IV, C-I, D-III

  2. ((b))

    A-III, B-IV, C-II, D-I

  3. ((c))

    A-I, B-III, C-II, D-IV

  4. ((d))

    A-III, B-I, C-IV, D-II

Show Answer
Answer: ((a))

A-II, B-IV, C-I, D-III

The correct answer is - A-II, B-IV, C-I, D-III

Key Points

  • Fixed Ratio (A-II):
  • In a Fixed Ratio schedule, reinforcement occurs after a set number of responses have been made.
  • For example, a rat receives a food pellet after pressing a lever exactly 5 times.
  • Fixed Interval (B-IV):
  • In a Fixed Interval schedule, reinforcement is provided for the first response after a fixed amount of time has passed.
  • For example, a reward is given for the first response after 1 minute, regardless of the number of responses within that time frame.
  • Variable Interval (C-I):
  • In a Variable Interval schedule, the time intervals between reinforcements vary unpredictably.
  • For example, a person fishing may catch a fish after 10 minutes, then 20 minutes, and then 5 minutes.
  • Variable Ratio (D-III):
  • In a Variable Ratio schedule, reinforcement occurs after an unpredictable number of responses.
  • For example, slot machines reward players unpredictably, encouraging continued play.

Additional Information

  • Reinforcement Schedules:
  • Schedules of reinforcement refer to rules that dictate the conditions under which reinforcements are delivered.
  • They play a crucial role in shaping and maintaining desired behaviors.
  • Types of Reinforcement Schedules:
  • Continuous Reinforcement: Every response is reinforced, often used during initial learning phases.
  • Intermittent Reinforcement: Reinforcement is delivered only some of the time, leading to higher resistance to extinction.
  • Application in Real Life:
  • Fixed Ratio: Factory workers paid based on the number of units produced.
  • Fixed Interval: Employees receiving a paycheck every two weeks.
  • Variable Ratio: Gambling and lottery systems.
  • Variable Interval: Checking for emails or notifications at unpredictable times.
29

Which of the following is/are NOT true:

A. The presence of the middle term in the minor term is called pakṣadharmatā.

B. The knowledge of pakṣadharmatā as qualified by vyāpti is called upamiti.

C. Indian logic does not separate deduction from induction.

D. Pakṣatā is the nature of the subject in an inference.

Choose the correct answer from the options given below:

  1. ((a))

    D only

  2. ((b))

    A and B only

  3. ((c))

    A and C only

  4. ((d))

    B only

Show Answer
Answer: ((d))

B only

The Correct answer is: B only

Key Points

  • Statement A: The presence of the middle term in the minor term is called pakṣadharmatā:
  • This statement is correct.
  • Pakṣadharmatā refers to the presence of the middle term (hetu) in the minor term (pakṣa) in an inference. In Indian logic, the minor term is the subject of the inference, and the middle term is the attribute or property being analyzed.
  • For example, in the inference "The mountain has fire because it has smoke," the mountain is the minor term, smoke is the middle term, and fire is the major term. Here, the middle term (smoke) is present in the minor term (mountain).
  • Statement B: The knowledge of pakṣadharmatā as qualified by vyāpti is called upamiti:
  • This statement is incorrect.
  • The knowledge of pakṣadharmatā as qualified by vyāpti is called anumāna (inference), not upamiti. Vyāpti refers to the invariable concomitance or universal relation between the middle term and the major term, which forms the basis of inference.
  • Upamiti, on the other hand, refers to knowledge gained through comparison or analogy (upamāna). It is a different pramāṇa (means of knowledge) in Indian philosophy and is unrelated to the process of inference.
  • Statement C: Indian logic does not separate deduction from induction:
  • This statement is correct.
  • Indian logic traditionally does not make a strict distinction between deduction and induction, as found in Western philosophy. Instead, it focuses on the holistic process of reasoning and inference, where both inductive and deductive elements are often intertwined.
  • For example, the inference process in Indian logic relies on observation of particular instances (induction) and application of universal rules (deduction), making the two methods complementary rather than separate.
  • Statement D: Pakṣatā is the nature of the subject in an inference:
  • This statement is correct.
  • Pakṣatā refers to the condition or property of being the subject of inference (pakṣa). In the process of reasoning, the pakṣa is the entity about which something is being inferred.
  • For example, in the inference "The mountain has fire because it has smoke," the mountain is the pakṣa, as it is the subject about which the presence of fire is being inferred.

Additional Information

  • Key Concepts in Indian Logic:
  • Anumāna: Refers to inference and is one of the six pramāṇas (means of knowledge) in Indian philosophy. It involves three components: pakṣa (minor term), hetu (middle term), and sādhyā (major term).
  • Vyāpti: The universal relation or invariable concomitance between hetu and sādhyā, which forms the basis of valid inference.
  • Pakṣadharmatā: The presence of the middle term in the minor term, which is a necessary condition for inference.
  • Upamāna: Comparison or analogy, another pramāṇa for gaining knowledge, distinct from anumāna.
  • Difference Between Deduction and Induction in Western and Indian Logic:
  • Western logic often separates deduction (reasoning from general to specific) and induction (reasoning from specific to general).
  • Indian logic, however, integrates both processes within its holistic approach to reasoning, emphasizing the interconnectedness of observation and universal principles.
30

A person who uses his expertise to gain access to other people's computers to get information illegally or to cause damage, is a

  1. ((a))

    Hacker

  2. ((b))

    Analyst

  3. ((c))

    Messenger

  4. ((d))

    Spammer

Show Answer
Answer: ((a))

Hacker

The correct answer is 'Hacker'

A hacker is an individual who uses technical knowledge, programming skills, and computer expertise to gain unauthorized access to computer systems, networks, or data. While the term can sometimes refer to ethical professionals who test system security, it is commonly used to describe individuals who access computers illegally to steal information, disrupt services, or cause damage.

Key Points

  • Hacker:
  • A hacker is a person with advanced computer skills who exploits system vulnerabilities to gain unauthorized access.
  • Hackers may steal sensitive information such as passwords, financial records, or personal data.
  • They can introduce viruses, malware, or ransomware to damage or disrupt computer systems.
  • Unauthorized access to computer systems is considered a cybercrime under information technology laws.
  • Hackers may operate individually or as part of organized cybercrime groups.
  • Some hackers, known as ethical hackers, work legally to test and improve cybersecurity, but illegal access and damage fall under malicious hacking.

Additional Information

  • Analyst:
  • An analyst is a professional who examines data, systems, or processes to provide insights and solutions.
  • They work legally within organizations to improve efficiency, security, or business performance.
  • An analyst does not gain unauthorized access or cause damage to computer systems.
  • Messenger:
  • A messenger is a person or application that delivers messages or communications between individuals or systems.
  • Messaging services are used for communication and do not involve illegal system access.
  • The role of a messenger is limited to transferring information, not exploiting systems.
  • Spammer:
  • A spammer is a person who sends unsolicited bulk messages, usually for advertising or phishing purposes.
  • While spamming can be unethical and sometimes illegal, it does not necessarily involve breaking into computer systems.
  • Spammers primarily misuse communication channels rather than directly hacking into systems.

Important Points

  • Hacking is a major cybersecurity concern worldwide.
  • Cyber laws such as the Information Technology Act penalize unauthorized access and data theft.
  • Organizations use firewalls, encryption, and intrusion detection systems to prevent hacking.
  • Ethical hacking is a legitimate profession focused on identifying security weaknesses before malicious hackers exploit them.
31

Arrange the following fractions in ascending order:

A. 716\frac{7}{16}

B. 1325\frac{13}{25}

C. 23\frac{2}{3}

D. 1123\frac{11}{23}

E. 519\frac{5}{19}

Choose the correct answer from the options given below:

  1. ((a))

    B, E, D, C, A

  2. ((b))

    E, A, D, B, C

  3. ((c))

    E, D, B, A, C

  4. ((d))

    B, A, D, C, E

Show Answer
Answer: ((b))

E, A, D, B, C

Given:

Fractions to arrange in ascending order:

A = (7)/(16)

B = (13)/(25)

C = (2)/(3)

D = (11)/(23)

E = (5)/(19)

Formula used:

To compare fractions, convert them to decimals.

Calculation:

A = (7)/(16) = 7 ÷ 16 = 0.4375

B = (13)/(25) = 13 ÷ 25 = 0.52

C = (2)/(3) = 2 ÷ 3 = 0.6667

D = (11)/(23) = 11 ÷ 23 ≈ 0.4783

E = (5)/(19) = 5 ÷ 19 ≈ 0.2632

Ascending order:

E (0.2632), A (0.4375), D (0.4783), B (0.52), C (0.6667)

∴ The correct answer is option (2): E, A, D, B, C.

32

If 28% of a number is 75 less than 43% of the same number, then 30% of that number is:

  1. ((a))

    175

  2. ((b))

    145

  3. ((c))

    150

  4. ((d))

    120

Show Answer
Answer: ((c))

150

Given:

28% of a number is 75 less than 43% of the same number.

Formula used:

Let the number be x.

28% of x = 43% of x - 75

⇒ 0.28x = 0.43x - 75

30% of x = ?

Calculation:

⇒ 0.28x = 0.43x - 75

⇒ 0.43x - 0.28x = 75

⇒ 0.15x = 75

⇒ x = 75 ÷ 0.15

⇒ x = 500

30% of x = 0.30 × 500

⇒ 150

∴ The correct answer is option (3).

33

Which of the following are commonly responsible for acid rain?

  1. ((a))

    N2O and CO2

  2. ((b))

    NO2 and SO2

  3. ((c))

    NH3 and CH4

  4. ((d))

    CO2 and O3

Show Answer
Answer: ((b))

NO2 and SO2

The correct answer is 'NO2 and SO2'

Key Points

  • Acid Rain:
  • Acid rain refers to precipitation that contains high levels of sulfuric and nitric acids, primarily formed due to the presence of sulfur dioxide (SO2) and nitrogen oxides (NOx) in the atmosphere.
  • These gases are released into the atmosphere through natural sources like volcanic eruptions and human activities such as burning fossil fuels in industries, power plants, and vehicles.
  • SO2 and NO2 react with water vapor, oxygen, and other chemicals in the atmosphere to form sulfuric acid (H2SO4) and nitric acid (HNO3), which are carried to the ground via rain, snow, or fog.
  • Acid rain leads to environmental damage, including soil acidification, water pollution in lakes and rivers, harm to plant life, and deterioration of buildings and monuments.

Additional Information

  • Why Other Options Are Incorrect:
  • N2O and CO2:
  • Nitrous oxide (N2O) is a greenhouse gas but does not significantly contribute to acid rain formation.
  • Carbon dioxide (CO2) can dissolve in water to form carbonic acid (H2CO3), but this is a weak acid and does not play a major role in acid rain.
  • These gases are primarily associated with climate change rather than acid rain.
  • NH3 and CH4:
  • Ammonia (NH3) is an alkaline gas, not acidic, and methane (CH4) is a greenhouse gas that contributes to global warming but not acid rain.
  • These gases do not produce the acidic compounds necessary for acid rain formation.
  • CO2 and O3:
  • Ozone (O3) is a reactive molecule primarily associated with air pollution and the ozone layer, not acid rain.
  • While CO2 can form weak acids, it does not contribute to the strong acids (H2SO4 and HNO3) responsible for acid rain.
  • Impact of Acid Rain:
  • Acid rain affects aquatic ecosystems by lowering pH levels in water bodies, which can harm aquatic life.
  • It can leach essential nutrients from the soil, negatively impacting plant growth and forest health.
  • Acid rain accelerates the corrosion of buildings, monuments, and infrastructure, particularly those made of limestone and marble.
  • Efforts to reduce SO2 and NOx emissions, such as adopting cleaner energy sources and using scrubbers in industrial plants, have been implemented globally to mitigate acid rain.

Important Points

  • Acid rain is a transboundary issue as the pollutants causing it can travel long distances in the atmosphere.
  • International agreements like the Convention on Long-Range Transboundary Air Pollution aim to control emissions and reduce the impacts of acid rain.
  • Technologies such as flue-gas desulfurization and catalytic converters are widely used to limit SO2 and NOx emissions.
  • Public awareness and policy interventions are critical in addressing acid rain and its environmental consequences.
34

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R

Assertion A: The terms validity and invalidity apply only to deductive arguments.

Reason R: In a deductive argument, conclusion follows from its premises with absolute necessity.

In the light of the above statements, choose the most appropriate answer from the options given below

  1. ((a))

    Both A and R are correct and R is the correct explanation of A

  2. ((b))

    Both A and R are correct but R is NOT the correct explanation of A

  3. ((c))

    A is correct but R is not correct

  4. ((d))

    A is not correct but R is correct

Show Answer
Answer: ((a))

Both A and R are correct and R is the correct explanation of A

The correct option is 'Both (A) and (R) are correct and (R) is the correct explanation of (A)'.

Key Points

  • Assertion A: The terms validity and invalidity apply only to deductive arguments.
  • This statement is true.
  • Explanation: In logical reasoning, validity is a property of deductive arguments. A deductive argument is valid if and only if the conclusion necessarily follows from the premises. In other words, if the premises are true, then the conclusion must also be true. Validity and invalidity do not apply to inductive arguments because inductive reasoning deals with probabilities, not certainties.
  • Example: Consider the deductive argument: "All humans are mortal. Socrates is a human. Therefore, Socrates is mortal." This argument is valid because the conclusion necessarily follows from the premises.
  • Reason R: In a deductive argument, the conclusion follows from its premises with absolute necessity.
  • This statement is true.
  • Explanation: The defining characteristic of a deductive argument is that the relationship between the premises and the conclusion is such that if the premises are true, the conclusion cannot be false. This is referred to as the conclusion following with "absolute necessity." Inductive arguments, on the other hand, rely on probable reasoning and do not guarantee the truth of the conclusion even if the premises are true.
  • Example: In the same example as above, the conclusion ("Socrates is mortal") is necessarily true if the premises ("All humans are mortal" and "Socrates is a human") are true. This necessity is a feature of deductive reasoning.
  • Evaluation of the Relationship Between A and R:
  • Both the assertion and the reason are accurate and interrelated.
  • The reason (R) explains why the terms validity and invalidity apply only to deductive arguments (as stated in the assertion). It is because deductive arguments are characterized by the absolute necessity of the conclusion following from the premises, which is the basis for determining validity or invalidity.
  • Thus, the reason (R) directly supports and provides a correct explanation for the assertion (A).

Additional Information

  • Deductive vs. Inductive Reasoning: Deductive arguments provide certainty in their conclusions if the premises are true, whereas inductive arguments provide probabilistic conclusions.
  • Validity vs. Soundness: A deductive argument is valid if the conclusion necessarily follows from the premises, regardless of whether the premises are actually true. If a deductive argument is valid and the premises are true, it is also considered sound.
  • Application: Validity and invalidity are essential concepts in logic, particularly in evaluating the structure and reasoning of arguments, making it possible to distinguish between logically correct and incorrect reasoning.
35

"The sky-lotus is fragrant, because it has lotusness in it like a natural lotus", commits the fallacy (hetvābhāsa) of:

  1. ((a))

    Asiddha

  2. ((b))

    Satpratipakṣa

  3. ((c))

    Savyabhicāra

  4. ((d))

    Viruddha

Show Answer
Answer: ((a))

Asiddha

The correct answer is 'Asiddha'

Key Points

  • Asiddha (Fallacy of Unproven Middle Term):
  • The term "Asiddha" refers to the fallacy of the middle term being unproven or not established.
  • In logical reasoning, the middle term is a crucial component of a syllogism that helps establish the connection between the major and minor terms.
  • In the provided statement, the middle term "lotusness" (suggesting a characteristic of a natural lotus) is being applied to a non-existent entity, the "sky-lotus."
  • Since the "sky-lotus" is an imaginary concept, the middle term "lotusness" is unproven or unjustified, leading to the fallacy of Asiddha.
  • This fallacy arises when the middle term is not applicable to at least one of the premises, making the argument logically invalid.

Additional Information

  • Satpratipakṣa (Counterbalancing Reason):
  • This fallacy occurs when there exists an equally valid counter-reason that negates the reasoning provided in the argument.
  • In the case of the given statement, there is no counter-reason presented to refute the argument; instead, the issue lies in the unproven nature of the middle term, making Satpratipakṣa inapplicable here.
  • Savyabhicāra (Fallacy of Irregular Middle Term):
  • Savyabhicāra occurs when the middle term is not consistently related to the major or minor terms, leading to ambiguity or irregularity.
  • In the given argument, the error is not due to inconsistency but because the middle term "lotusness" is unproven for the "sky-lotus."
  • Viruddha (Contradictory Reason):
  • This fallacy arises when the middle term contradicts the major term or negates the conclusion of the argument.
  • In the current example, the middle term does not contradict the major term; rather, it is unproven, making Viruddha an incorrect choice.

Important Points

  • The fallacy of Asiddha is one of the five types of Hetvābhāsa (fallacies of inference) described in Indian logic (Nyaya philosophy).
  • The other four types of Hetvābhāsa are Satpratipakṣa, Savyabhicāra, Viruddha, and Bādhita, each representing a unique flaw in reasoning.
  • Nyaya philosophy provides a detailed framework for analyzing the validity of arguments and identifying logical fallacies to ensure sound reasoning.
  • Understanding these fallacies is essential for both constructing valid arguments and critiquing flawed reasoning in philosophical and everyday discourse.
36

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R

Assertion A: Education is the most important pillar of a civilized and dignified society.

Reason R: The educational institutions do not represent values and ethics.

In the light of the above statements, choose the most appropriate answer from the options given below

  1. ((a))

    Both A and R are correct and R is the correct explanation of A

  2. ((b))

    Both A and R are correct but R is NOT the correct explanation of A

  3. ((c))

    A is correct but R is not correct

  4. ((d))

    A is not correct but R is correct

Show Answer
Answer: ((c))

A is correct but R is not correct

The correct answer is - A is correct but R is not correct

Key Points

  • Assertion A
  • Education is indeed the most significant pillar of a civilized and dignified society.
  • It promotes values, knowledge, and skills, which are essential for societal growth.
  • Education fosters ethical and moral standards that contribute to a harmonious society.
  • Reason R is incorrect.
  • The statement that educational institutions do not represent values and ethics is not universally true.
  • Many educational institutions actively impart ethical and moral education through structured curricula.
  • While there might be exceptions, the general role of education is to cultivate a value-driven society.

Additional Information

  • Importance of Education
  • Education serves as the foundation for economic and social development.
  • It enables individuals to acquire critical thinking and problem-solving skills.
  • Promotes social cohesion and reduces inequalities by offering equal opportunities for learning.
  • Ethics in Education
  • Many institutions integrate ethical principles and value-based learning in their programs.
  • Subjects like philosophy and social studies focus on nurturing a student's understanding of ethics and morals.
  • Efforts like character education emphasize developing virtues like integrity, respect, and responsibility.
37

Match the LIST-I with LIST-II

LIST-I (Cost Price = C.P. and Selling Price = S.P.)LIST-II (in Rs)
A. If C.P. = Rs 600, Profit = 25%, then S.P. = ?I. 1080
B. S.P. = Rs 1680, Loss = 20%, then C.P. = ?II. 750
C. Marked Price = Rs 1500, successive discounts are 20% & 10%, then S.P. = ?III. 1200
D. Difference between C.P. and S.P. = Rs 240, Profit = 20%, then C.P. = ?IV. 2100

Choose the correct answer from the options given below:

  1. ((a))

    A-I, B-III, C-IV, D-II

  2. ((b))

    A-III, B-II, C-I, D-IV

  3. ((c))

    A-II, B-IV, C-I, D-III

  4. ((d))

    A-IV, B-I, C-III, D-II

Show Answer
Answer: ((c))

A-II, B-IV, C-I, D-III

Given:

Match LIST-I with LIST-II

A. C.P. = ₹600, Profit = 25%

B. S.P. = ₹1680, Loss = 20%

C. Marked Price = ₹1500, Successive Discounts = 20% & 10%

D. Difference between C.P. and S.P. = ₹240, Profit = 20%

Formula used:

  1. S.P. = C.P. × (1 + Profit%)
  2. C.P. = S.P. / (1 - Loss%)
  3. S.P. = Marked Price × (1 - Discount1%) × (1 - Discount2%)
  4. Profit = C.P. × Profit%

C.P. = Difference in C.P. and S.P. / Profit%

Calculations:

A. S.P. = ₹600 × (1 + 25/100)

⇒ S.P. = ₹600 × 1.25

⇒ S.P. = ₹750

B. C.P. = ₹1680 / (1 - 20/100)

⇒ C.P. = ₹1680 / 0.8

⇒ C.P. = ₹2100

C. S.P. = ₹1500 × (1 - 20/100) × (1 - 10/100)

⇒ S.P. = ₹1500 × 0.8 × 0.9

⇒ S.P. = ₹1080

D. Profit = 20%

C.P. = ₹240 / 0.2

⇒ C.P. = ₹1200

Correct Matching:

A-II, B-IV, C-I, D-III

38

Which among the following is NOT a National Coordinator for Higher Education Courses on SWAYAM?

  1. ((a))

    Indira Gandhi National Open University

  2. ((b))

    Consortium for Educational Communication

  3. ((c))

    National Institute of Technical Teacher Training and Research

  4. ((d))

    National Institute for Open Schooling

Show Answer
Answer: ((d))

National Institute for Open Schooling

The correct answer is - National Institute for Open Schooling

Key Points

  • SWAYAM is an initiative by the Government of India aimed at providing free online courses to learners across the nation.
  • The platform includes National Coordinators responsible for creating, delivering, and managing courses in their respective domains.
  • The National Institute for Open Schooling (NIOS) is not a National Coordinator for Higher Education Courses on SWAYAM. It is primarily responsible for school-level courses and vocational education.
  • National Coordinators for Higher Education on SWAYAM include:
  • Indira Gandhi National Open University (IGNOU): Focused on distance and open education courses.
  • Consortium for Educational Communication (CEC): Specializes in undergraduate education.
  • National Institute of Technical Teachers Training and Research (NITTTR): Focuses on training technical educators and related courses.

Additional Information

  • SWAYAM National Coordinators:
  • AICTE: Focuses on technical education courses.
  • UGC: Offers postgraduate-level courses.
  • NCERT: Provides courses for school education (classes 9–12).
  • National Institute for Open Schooling (NIOS):
  • It is responsible for school-level certifications such as secondary and senior secondary education.
  • Provides vocational and life-enrichment courses for learners outside the formal school system.
  • Importance of SWAYAM:
  • Promotes equity in education by offering free access to high-quality courses.
  • Provides certifications for learners who complete courses and pass the assessments.
39

Match the LIST-I with LIST-II

LIST-I (Strategies for mitigating bias in classroom)LIST-II (Example)
A. Stereotype ReplacementI. Building opportunities to learn about first-person perspective of students in class
B. Counter-stereotypic ImagingII. Learn about a range of individuals from different social groups
C. IndividuatingIII. Plan ahead in teaching to ensure non-stereotypic examples
D. Perspective-TakingIV. Ask students to introduce significant things about themselves during class

Choose the correct answer from the options given below:

  1. ((a))

    A-III, B-IV, C-II, D-I

  2. ((b))

    A-II, B-IV, C-III, D-I

  3. ((c))

    A-I, B-IV, C-II, D-III

  4. ((d))

    A-III, B-II, C-IV, D-I

Show Answer
Answer: ((d))

A-III, B-II, C-IV, D-I

The correct answer is - A-III, B-II, C-IV, D-I

Key Points

  • A-III: Stereotype Replacement
  • Involves recognizing and replacing stereotypic responses with more accurate and non-stereotypic examples.
  • Planning ahead in teaching to deliberately use non-stereotypic examples is a key strategy.
  • B-II: Counter-stereotypic Imaging
  • Encourages learning about individuals from diverse social groups who challenge common stereotypes.
  • This approach fosters the creation of mental images that counteract prevailing biases.
  • C-IV: Individuating
  • Focuses on gathering specific information about individuals rather than relying on group-based generalizations.
  • Asking students to introduce significant things about themselves is an example of this approach.
  • D-I: Perspective-Taking
  • Involves building opportunities to understand the first-person perspective of students in the classroom.
  • Helps in developing empathy and reducing biases by seeing the world through the eyes of others.

Additional Information

  • Strategies for Mitigating Bias
  • Stereotype Replacement: Encourages replacing biased thoughts with unbiased, evidence-based examples.
  • Counter-stereotypic Imaging: Promotes visualizing examples that challenge stereotypes.
  • Individuating: Focuses on understanding individual traits rather than group identities.
  • Perspective-Taking: Aims to enhance understanding by adopting others’ viewpoints.
  • Importance in Education
  • Helps create an inclusive learning environment by reducing unconscious bias.
  • Promotes equity and fosters respect for diversity among students.
40

In qualitative research, the criterion that parallels internal validity is

  1. ((a))

    credibility

  2. ((b))

    transferability

  3. ((c))

    dependability

  4. ((d))

    confirmability

Show Answer
Answer: ((a))

credibility

The correct answer is - Credibility

Key Points

  • Credibility in qualitative research parallels internal validity in quantitative research.
  • It ensures the findings of the research are accurate, authentic, and trustworthy from the perspective of the participants.
  • Credibility is established through techniques like prolonged engagement, persistent observation, and member checking.
  • It focuses on whether the research reflects the real experiences of participants being studied.

Additional Information

  • Other criteria in qualitative research:
  • Transferability: Refers to how well the findings can be applied to other contexts or settings. It parallels external validity.
  • Dependability: Focuses on the consistency of research findings over time and parallels reliability in quantitative studies.
  • Confirmability: Ensures the findings are neutral and free from researcher bias. It parallels objectivity.
  • Internal validity in quantitative research:
  • Refers to the degree to which a study accurately measures what it intends to measure.
  • In qualitative research, this is reflected in the credibility of the findings.
41

Arrange the following education institutions in the increasing order of the entry eligibility for the programs offered there?

A. Indian Institutes of Technology (IITs)

B. Jan Shiksha Sansthan

C. Industrial Training Institutes (ITIs)

D. Polytechnics

Choose the correct answer from the options given below:

  1. ((a))

    B, C, D, A

  2. ((b))

    C, D, A, B

  3. ((c))

    B, D, C, A

  4. ((d))

    C, B, A, D

Show Answer
Answer: ((a))

B, C, D, A

The correct answer is - B, C, D, A

Key Points

  • Indian Institutes of Technology (IITs)
  • IITs offer undergraduate and postgraduate programs that require candidates to qualify through highly competitive exams like JEE Advanced.
  • The eligibility criteria for these programs are stricter compared to other institutions in the list.
  • Polytechnics
  • Polytechnics offer diploma-level education in technical fields, typically requiring candidates to have completed their 10th or 12th standard.
  • The entry requirements are less competitive compared to IITs but higher than ITIs and Jan Shiksha Sansthans.
  • Industrial Training Institutes (ITIs)
  • ITIs provide skill-based training in various trades and require completion of a minimum of Class 8 or 10.
  • The eligibility for ITIs is less stringent compared to Polytechnics.
  • Jan Shiksha Sansthan
  • These institutions focus on literacy, vocational, and skill training programs for individuals with no formal educational requirements.
  • They have the least restrictive entry criteria among the listed institutions.

Additional Information

  • Indian Institutes of Technology (IITs)
  • IITs are premier institutions in India offering programs in engineering, sciences, and management.
  • Admission to IITs for undergraduate programs is through the Joint Entrance Examination (Advanced), which is considered one of the toughest exams globally.
  • Polytechnics
  • Polytechnic institutions provide diploma-level education in technical areas such as engineering, architecture, and design.
  • Diploma courses are popular among students who aim for job-oriented training after completing Class 10 or 12.
  • Industrial Training Institutes (ITIs)
  • ITIs are government-run or private institutions that offer skill-based training in various trades, including electrician, fitter, and mechanic.
  • The training provided is aimed at equipping students with practical skills for immediate employment.
  • Jan Shiksha Sansthan
  • These institutions are part of the Adult Education Program in India, focusing on skill development for underprivileged and illiterate individuals.
  • The programs aim to empower individuals by providing them with employable skills.
42

Match the LIST-I with LIST-II

LIST-I (Relation between propositions)LIST-II (Propositions)
A. ContradictoriesI. A and E
B. ContrariesII. A and I
C. SubcontrariesIII. E and I
D. SubalternationIV. I and O

Choose the correct answer from the options given below:

  1. ((a))

    A-I, B-II, C-III, D-IV

  2. ((b))

    A-II, B-I, C-IV, D-III

  3. ((c))

    A-III, B-I, C-IV, D-II

  4. ((d))

    A-IV, B-III, C-II, D-I

Show Answer
Answer: ((c))

A-III, B-I, C-IV, D-II

The correct answer is: A-III, B-I, C-IV, D-II.

Key Points

LIST-I (Relation between propositions)LIST-II (Propositions)
(A) Contradictories(III) E and I
(B) Contraries(I) A and E
(C) Subcontraries(IV) I and O
(D) Subalternation(II) A and I

 

 

 

 

Additional Information

  • Introduction:
  • The problem relates to the classification of logical propositions based on their relationships as per the traditional square of opposition. These relationships are fundamental to classical logic.
  • The four types of propositions (A, E, I, O) represent universal affirmative, universal negative, particular affirmative, and particular negative statements, respectively.
  • Detailed Explanation of Each Relation:
  • Contradictories:
  • Contradictory propositions are pairs of statements in which one must be true, and the other must be false. They cannot both be true or false simultaneously.
  • Example: E (universal negative: "No S is P") and I (particular affirmative: "Some S is P") are contradictory propositions.
  • Contraries:
  • Contrary propositions are pairs of universal statements that cannot both be true simultaneously, but they can both be false.
  • Example: A (universal affirmative: "All S is P") and E (universal negative: "No S is P") are contraries.
  • Subcontraries:
  • Subcontrary propositions are pairs of particular statements that cannot both be false simultaneously, but they can both be true.
  • Example: I (particular affirmative: "Some S is P") and O (particular negative: "Some S is not P") are subcontraries.
  • Subalternation:
  • Subalternation refers to the relationship between a universal proposition (A or E) and its corresponding particular proposition (I or O).
  • Example: A (universal affirmative: "All S is P") and I (particular affirmative: "Some S is P"). The truth of the universal implies the truth of the particular, but not vice versa.
  • Mapping LIST-I to LIST-II:
  • (A) Contradictories → (III) E and I: They cannot both be true or false simultaneously.
  • (B) Contraries → (I) A and E: They cannot both be true but can both be false.
  • (C) Subcontraries → (IV) I and O: They cannot both be false but can both be true.
  • (D) Subalternation → (II) A and I: The truth of A implies the truth of I.
  • Conclusion:
  • The relationships between propositions are essential for understanding classical logic and reasoning.
  • The correct mapping is A-III, B-I, C-IV, D-II, as explained above.
43

As per the National Education Policy-2020, what percent of learners from school and higher education were expected to have exposure to vocational education by 2025?

  1. ((a))

    30%

  2. ((b))

    35%

  3. ((c))

    40%

  4. ((d))

    50%

Show Answer
Answer: ((d))

50%

The correct answer is - 50%

Key Points

  • The National Education Policy (NEP) 2020 introduced significant reforms to enhance the quality of education in India.
  • One of its key objectives is to ensure that at least 50% of learners across schools and higher education institutions are exposed to vocational education by 2025.
  • This initiative aims to bridge the gap between academic knowledge and practical skills, enhancing employability among students.
  • The NEP emphasizes the integration of vocational education into the school curriculum from Grade 6 onwards, with hands-on experience and internships.

Additional Information

  • Vocational Education and Training (VET)
  • It refers to education that prepares learners for specific trades, crafts, and careers at various levels.
  • In the NEP, vocational education is designed to make students job-ready by equipping them with industry-relevant skills.
  • Implementation Strategies in NEP 2020
  • Collaboration with industry experts and local businesses for internships and skill-building programs.
  • Adoption of technology-driven learning methods, such as online and digital platforms.
  • Focus on skilling, reskilling, and upskilling to meet the demands of the dynamic global job market.
  • Global Context
  • Countries like Germany and Switzerland have highly successful vocational education systems, which India aims to emulate.
  • Such systems help reduce unemployment rates and increase the availability of skilled workers.
44

Match the LIST-I with LIST-II

LIST-I (Layer of Panchakosha)LIST-II (Aspect of Development)
A. Annamaya KoshaI. mind layer
B. Anandamaya KoshaII. intellectual layer
C. Manomaya KoshaIII. inner self
D. Vijnanamaya KoshaIV. physical layer

Choose the correct answer from the options given below:

  1. ((a))

    A-I, B-II, C-IV, D-III

  2. ((b))

    A-IV, B-III, C-I, D-II

  3. ((c))

    A-IV, B-I, C-II, D-III

  4. ((d))

    A-III, B-IV, C-II, D-I

Show Answer
Answer: ((b))

A-IV, B-III, C-I, D-II

The correct answer is: A-IV, B-III, C-I, D-II.

Key Points

Layer of Panchakosha (List I)Aspect of Development (List II)
(A) Annamaya Kosha(IV) Physical Layer
(B) Anandamaya Kosha(III) Inner Self
(C) Manomaya Kosha(I) Mind Layer
(D) Vijnanamaya Kosha(II) Intellectual Layer

 

 

Additional Information

  • Panchakosha:
  • The concept of Panchakosha is derived from the Taittiriya Upanishad, which describes five layers or sheaths that cover the true self (Atman).
  • These sheaths symbolize different levels of human existence, ranging from the gross physical body to the most subtle spiritual aspect of existence.
  • Each sheath represents a different dimension of human experience and development.
  • Annamaya Kosha (Physical Layer):
  • This is the outermost sheath and is related to the physical body, which is nourished by food (Annam).
  • It represents the tangible, material aspect of human existence.
  • It is considered the grossest layer among the Panchakosha.
  • Anandamaya Kosha (Inner Self):
  • The Anandamaya Kosha is the innermost sheath and is associated with bliss or spiritual joy.
  • It represents the state of pure consciousness and ultimate connection with the true self (Atman).
  • This is the most subtle and spiritual layer, which is experienced in deep meditation or self-realization.
  • Manomaya Kosha (Mind Layer):
  • This sheath is connected to the mind and emotions, including thoughts, feelings, and desires.
  • It governs mental activities and is responsible for perception and processing of sensory inputs.
  • It forms an important connection between the outer physical world and inner layers.
  • Vijnanamaya Kosha (Intellectual Layer):
  • This sheath represents the intellect and wisdom, which enables discernment, judgment, and higher understanding.
  • It is the layer of knowledge and intuition, allowing humans to differentiate between right and wrong.
  • This sheath plays a crucial role in spiritual growth and self-awareness.
45

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R

Assertion A: People tend to ignore media messages they feel are in accord with their already-held attitudes and interests.

Reason R: Selective exposure theory suggests that audiences tend to match their choice of media channels and content to their own tastes, ideas and informational needs.

In the light of the above statements, choose the most appropriate answer from the options given below

  1. ((a))

    Both A and R are correct and R is the correct explanation of A

  2. ((b))

    Both A and R are correct but R is NOT the correct explanation of A

  3. ((c))

    A is correct but R is not correct

  4. ((d))

    A is not correct but R is correct

Show Answer
Answer: ((d))

A is not correct but R is correct

The correct option is '(4) A is not correct but R is correct'.

Key Points

  • Assertion A: People tend to ignore media messages they feel are in accord with their already-held attitudes and interests.
  • This statement is incorrect.
  • The assertion claims that people ignore media messages that align with their attitudes and interests. However, this is contrary to the actual concept of selective exposure.
  • Selective Exposure Theory: According to this theory, people are more likely to seek out and pay attention to information that aligns with their existing beliefs, attitudes, and interests. This means they do not ignore such messages but actively seek and engage with them.
  • Reason R: Selective exposure theory suggests that audiences tend to match their choice of media channels and content to their own tastes, ideas and informational needs.
  • This statement is true.
  • The reason correctly outlines the concept of selective exposure theory. It highlights that individuals prefer media content that supports their preexisting beliefs and attitudes, avoiding content that contradicts their perspectives.
  • Evaluation of the Relationship Between A and R:
  • The assertion (A) is incorrect because it misrepresents the idea of selective exposure by suggesting that people "ignore" messages that align with their attitudes. In reality, they actively seek out such messages.
  • The reason (R) accurately describes selective exposure theory, which means it is correct.
  • Since the assertion is incorrect and the reason is correct, the correct answer is option 4: "A is not correct but R is correct."

Additional Information

  • Selective Exposure: It is a psychological theory that explains how individuals tend to favor information that reinforces their preexisting views while avoiding contradictory information. This is particularly evident in areas like politics, religion, and personal values.
  • Media Consumption: In today's media landscape, with abundant choices, people often gravitate towards channels, websites, or social media platforms that align with their personal ideologies and interests.
  • Confirmation Bias: Selective exposure is closely related to confirmation bias, which refers to the tendency of individuals to interpret information in ways that confirm their preexisting beliefs.

Read the passage given below and answer questions:

If unpleasant things happen in our daily life, we immediately pay attention to them but do not notice other pleasant things. We experience these as normal or usual. This shows that compassion and affection are part of human nature.Compassion or love has different levels; some are more mixed than others with desire or attachment. For example, parents' attitudes toward their children contain a mixture of desire and attachment with compassion. The love and compassion between husband and wife-especially at the beginning of marriage when they don't know the deep nature of each other-are on a superficial level. As soon as the attitude of one partner changes, the attitude of the other becomes opposite to what it was. That kind of love and compassion is more of the nature of attachment. Attachment means some kind of feeling of closeness projected by oneself. In reality, the other side may be very negative, but due to one's own mental attachment and projection, it appears as something nice. Furthermore, attachment causes one to exaggerate a small good quality and make it appear 100 percent beautiful or 100 percent positive. As soon as the mental attitudes change, that picture completely changes. Therefore, that kind of love and compassion is, rather, attachment.

46

According to the passage, when one partner is negative but appears as nice and pleasant to the other, it is because of the latter's

  1. ((a))

    Prejudice

  2. ((b))

    Strong feelings

  3. ((c))

    Gender Bias

  4. ((d))

    Mental projection

Show Answer
Answer: ((d))

Mental projection

The correct answer is Option 4: Mental projection.

 

Key Points

  • The passage explains that attachment involves a feeling of closeness projected by oneself.
  • It clearly states that the other person may actually be negative in reality.
  • However, due to one’s own mental attachment and projection, the person appears nice and pleasant.
  • Thus, the positive appearance is caused by mental projection, not the actual nature of the partner.

Therefore, the correct answer is Option 4.

 

Additional Information

  • Option 1: Prejudice – The passage does not mention bias or preconceived judgment.
  • Option 2: Strong feelings – While attachment involves emotion, the key idea is projection, not merely strong feelings.
  • Option 3: Gender Bias – There is no reference to bias based on gender.
  • The concept discussed relates specifically to attachment and projection.
47

The presence of attachment in a relationship will give rise to...

  1. ((a))

    exaggeration of any small good quality.

  2. ((b))

    a mixture of unpleasantness and sorrow.

  3. ((c))

    an exact match of attitudes all the time.

  4. ((d))

    a clear understanding of the partner's deep nature.

Show Answer
Answer: ((a))

exaggeration of any small good quality.

The correct answer is Option 1.

 

Key Points

  • The passage clearly explains that attachment involves projecting one’s own feelings onto another person.
  • It specifically states that attachment causes one to exaggerate a small good quality.
  • This exaggeration makes the quality appear 100 percent beautiful or positive.
  • Thus, attachment leads to a distorted and magnified perception of minor positive traits.

Therefore, the correct answer is Option 1.

 

Additional Information

  • Option 2 – The passage does not associate attachment with unpleasantness and sorrow.
  • Option 3 – It mentions that attitudes may become opposite, not exactly matched.
  • Option 4 – Attachment prevents a true understanding of the partner’s deep nature.
48

Choose the word that can replace the word "superficial" in the passage:

  1. ((a))

    Superior

  2. ((b))

    Suburban

  3. ((c))

    Surface

  4. ((d))

    Spurious

Show Answer
Answer: ((c))

Surface

The correct answer is Option 3: Surface.

 

Key Points

  • The word "superficial" in the passage refers to something existing only at the surface level.
  • It describes love that is not deep or fully understood.
  • "Surface" conveys the closest meaning to something shallow or external.
  • Thus, "surface" is the most appropriate replacement in context.

Therefore, the correct answer is Option 3.

 

Additional Information

  • Option 1: Superior – Means better or higher in quality, which is not the intended meaning.
  • Option 2: Suburban – Relates to the outskirts of a city, unrelated to the context.
  • Option 4: Spurious – Means false or fake, which does not match the idea of shallow or surface-level.
49

In our daily life, according to the passage, the ______________ things are always noticed.

  1. ((a))

    unpleasant

  2. ((b))

    normal

  3. ((c))

    pleasant

  4. ((d))

    humdrum

Show Answer
Answer: ((a))

unpleasant

The correct answer is Option 1: unpleasant.

 

Key Points

  • The passage clearly states that when unpleasant things happen, we immediately pay attention to them.
  • It contrasts this with pleasant things, which we often treat as normal or usual.
  • This indicates a human tendency to focus more on negative experiences.
  • Therefore, unpleasant things are the ones that are always noticed.

Therefore, the correct answer is Option 1.

 

Additional Information

  • Option 2: Normal – Pleasant things are experienced as normal, not specifically noticed.
  • Option 3: Pleasant – The passage says pleasant things are often overlooked.
  • Option 4: Humdrum – Means dull or routine, which is not mentioned in the passage.
50

The passage holds that "attachment" is a feeling of closeness projected by

  1. ((a))

    the partner

  2. ((b))

    the individual themselves

  3. ((c))

    the environment

  4. ((d))

    the family

Show Answer
Answer: ((b))

the individual themselves

The correct answer is Option 2: the individual themselves.

 

Key Points

  • The passage clearly defines attachment as a feeling of closeness projected by oneself.
  • It explains that this projection comes from one’s own mental attitude.
  • Because of this self-projection, the other person may appear nice even if they are negative in reality.
  • Thus, attachment originates from the individual themselves, not from external sources.

Therefore, the correct answer is Option 2.

 

Additional Information

  • Option 1 – The partner is not the source of the projection; it comes from oneself.
  • Option 3 – The environment is not mentioned as causing attachment.
  • Option 4 – Family is discussed earlier, but attachment is described as self-projected.

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