UGC NET Paper 1: Held on 14th Dec 2023 Shift 1 (Previous Year Paper)

The correct response is 55500.

Given the task, here's a comprehensive explanation of the query in a tabular format:

| Column 1 | Column 2 |

|--------------|--------------|

| Qs Statement | Consider the following Ms - Excel work sheet: The value returned by the function =SUMIFS(C2:C7, B2:B7, "undefined13", C2:C7, "undefined 22500") is: |

| Option 1 | 78000 |

| Option 2 | 76500 |

| Option 3 | 99000 |

| Option 4 | 55500 |

| option 5 | (Empty, indicating there are only four options provided) |

| correct option | The correct answer is option 4 |

| Solution Statement | The SUMIFS function in Excel adds up all numbers in a range based on multiple criteria. In this case, the function is used to sum the values in range C2:C7 (Payments made) based on two conditions: 1) The number of classes taught is greater than 13 (B2:B7 undefined 13), and 2) The payments made are greater than 22500 (C2:C7 undefined 22500). Given these conditions, none of the rows meet both criteria simultaneously, hence the sum returns 0. However, the provided 'correct option' suggests a sum of 55500, which seems to be a mistake since based on the provided data and conditions, the expected result should actually be 0. It appears there might have been an error in the question's solution statement or a misunderstanding of how the SUMIFS function operates with the given criteria. |

Key PointsIndicates that option 4 is correct. However, based on the explanation and Excel's SUMIFS function logic, there seems to be a discrepancy.

It's important to note there might be a misunderstanding or error in interpreting the SUMIFS function's result based on the given conditions and data.

The expected outcome should be a sum of values from C2:C7 that meet both criteria, but no row in the provided data meets both conditions of having more than 13 classes and payments greater than 22500 simultaneously.

The correct response is Statement I is incorrect but Statement II is correct.

Key Points 

 Statement I: Photovoltaic cells produce Alternating current (a.c.).

• This statement is incorrect. Photovoltaic (PV) cells produce Direct Current (DC), not Alternating Current (AC).
• In a solar panel system, an inverter is typically used to convert the DC electricity generated by the PV cells into AC electricity, which can be used by home appliances and for feeding into the power grid.

Statement II: Photovoltaic cells are exposed directly to the sun, therefore as temperature rises leakage across the cell increases.

• This statement is correct. When photovoltaic cells are exposed to sunlight, they absorb light and convert it into electricity.
• However, as the temperature of the cell increases, the efficiency of the conversion process can decrease, and leakage current across the cell may increase.
• High temperatures can adversely affect the performance and longevity of solar panels.

The correct response is Both Statement I and Statement II are incorrect

Key Points 

Statement I: The Richter Scale measures not only the intensity of the earthquake itself, but its impact on people too.

• This statement is incorrect. The Richter Scale is designed to measure the magnitude of an earthquake, which is a quantification of the energy released at the source of the earthquake.

• It does not measure the earthquake's impact on people or structures directly. The impact on people and structures can vary widely depending on several factors such as the depth of the earthquake, the distance from the epicenter, and local building codes and construction practices.

• Statement II: The Modified Mercalli Scale measures the earthquake in terms of energy released.

• This statement is incorrect. The Modified Mercalli Scale is a seismic scale used for measuring the intensity of an earthquake based on the observed effects on people, objects, and buildings.

• Unlike the Richter Scale or the Moment Magnitude Scale, which measures the energy released by an earthquake, the Modified Mercalli Scale describes the intensity of an earthquake in terms of its observed effects.

Therefore, the correct answer is option 2, indicating that both statements are incorrect.

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

Key Points

• University of Calcutta (E)
• Established in 1857.
• One of the oldest universities in India.
• Delhi University (B)
• Established in 1922.
• Renowned for its high academic standards.
• Nagpur University (C)
• Established in 1923.
• Also known as Rashtrasant Tukadoji Maharaj Nagpur University.
• Andhra University (D)
• Established in 1926.
• Located in Visakhapatnam, Andhra Pradesh.
• Agra University (A)
• Established in 1927.
• Now known as Dr. Bhimrao Ambedkar University.

Additional Information

• University of Calcutta
• Founded by the Act of Legislative Council of British India.
• Modelled on the University of London.
• Delhi University
• Initially consisted of three colleges: St. Stephen's College, Hindu College, and Ramjas College.
• Has grown to include over 90 colleges.
• Nagpur University
• Named after the Nagpur city in Maharashtra.
• Offers a wide range of undergraduate and postgraduate courses.
• Andhra University
• First residential and teaching-cum-affiliating university in India.
• Known for its coastal location and diverse academic offerings.
• Agra University
• Renamed as Dr. Bhimrao Ambedkar University in 1996.
• Offers various courses in arts, sciences, commerce, law, and engineering.

The correct response is Nitrogen - phosphorus

Key Points

Nitrogen and Phosphorus:

• These two elements are crucial for the eutrophication process. Eutrophication is the enrichment of water bodies with nutrients, leading to excessive growth of algae and other aquatic plants.
• This can result in oxygen depletion and negative impacts on aquatic life.
• Nitrogen and phosphorus are key nutrients that promote the overgrowth of algae.
• They often enter water bodies from agricultural runoff, sewage, and industrial discharges, making them the primary contributors to eutrophication.

Additional Information 

Calcium and Magnesium:

• While important for water hardness and certain biological functions in aquatic ecosystems, calcium, and magnesium do not directly contribute to eutrophication. They are not the primary nutrients that fuel excessive algae growth.

Nickel and Cobalt:

• These are trace elements necessary for various biological processes in small amounts. However, they are not major factors in eutrophication. Their presence in water bodies does not typically lead to nutrient over-enrichment and subsequent algae blooms.

Iron and Copper:

• These elements are essential for certain enzymatic activities in both plants and animals. While iron can be a limiting nutrient in marine ecosystems, leading to algae blooms under specific conditions, it is not as universally significant for eutrophication as nitrogen and phosphorus.
• Copper, on the other hand, is often used as an algaecide to control algae growth, indicating its role is not in promoting, but rather controlling algae proliferation.

The correct response is (A) is correct but (R) is not correct 

Key Points

Assertion (A): PM10 is preferred over Total Suspended Particles (TSP) for air quality monitoring studies.

• PM10 refers to particulate matter that is 10 micrometers or smaller in diameter. These particles are of concern because they are small enough to be inhaled into the deepest parts of the lung and can cause a variety of health problems.
• In air quality monitoring studies, PM10 is often preferred over Total Suspended Particles (TSP) because PM10 provides a more accurate representation of the particulate matter that poses health risks to humans.
• TSP includes all particles suspended in the air, which can range significantly in size, and not all of these particles pose the same risk to human health.
• Therefore, focusing on PM10 allows for a more targeted approach to assessing air quality in relation to human health impacts.

Reason (R) : Particles larger than 10 micron are better indicator of potential health effects of particulate air pollution.

• The reason statement claims that particles larger than 10 microns are better indicators of potential health effects of particulate air pollution.
• However, this statement is not accurate. In fact, it is the smaller particles (those less than 10 microns in diameter, such as PM10 and PM2.5) that are generally considered to be more harmful to human health.
• This is because smaller particles can penetrate deeper into the respiratory system and even enter the bloodstream, causing a wider range of health issues, including respiratory problems, cardiovascular disease, and even premature death.

The correct answer is - (B) and (D) Only

Key Points

• Nalanda and Vikramashila were renowned ancient universities in India.
• Both universities had six colleges each under them.
• There was a significant exchange of ideas between them, fostering a rich academic environment.
• They were prominent centers for Buddhist learning and attracted scholars from various parts of the world.

Additional Information

• Nalanda University
• Founded in the 5^th century CE in Bihar, India.
• Known for its vast library called Dharmaganja, which contained hundreds of thousands of books.
• At its peak, it housed over 10,000 students and 2,000 teachers.
• Vikramashila University
• Established in the late 8^th century CE by King Dharampala.
• Focused on advanced studies in Buddhist philosophy, logic, and other subjects.
• Had a strict admission process and was known for its rigorous training.
• Academic Exchange
• Scholars often traveled between these universities to lecture and learn, creating a vibrant intellectual community.
• This exchange helped in the development of a comprehensive and interconnected system of education and knowledge.

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

Key Points

• Sadler Commission
• Focused on the functioning of Calcutta University.
• Hartog Committee
• Provided a comprehensive report on education in India.
• Radhakrishnan Commission
• Examined university education in India.
• Yashpal Committee
• Investigated the functioning of UGC and AICTE.

Additional Information

• Sadler Commission (1917-1919)
• Evaluated the state of higher education and suggested reforms primarily for Calcutta University.
• Hartog Committee (1929)
• Focused on various aspects of primary, secondary, and higher education in India and recommended significant changes.
• Radhakrishnan Commission (1948-1949)
• Formed to report on university education and suggested improvements in the university system.
• Yashpal Committee (2009)
• Reviewed the functioning of the University Grants Commission (UGC) and the All India Council for Technical Education (AICTE) to propose reforms in higher education.

The correct answer is - Statement I is correct but Statement II is incorrect

Key Points

• Statement I is correct:
• Financing higher education in a country like India indeed depends upon the availability of resources and other financial implications.
• The economic state and resource allocation by the government significantly influence funding for higher education.
• Statement II is incorrect:
• According to the NEP 2020, the funding and financing of higher education will be carried out by the Higher Education Grants Council, but it is not explicitly stated as the second vertical of the Higher Education Commission of India.
• This indicates a misinterpretation or incorrect representation of the NEP 2020 directives regarding higher education funding.

Additional Information

• National Education Policy (NEP) 2020
• NEP 2020 aims to overhaul the Indian education system with significant emphasis on higher education.
• It proposes the establishment of a Higher Education Commission of India (HECI) with four independent verticals:
• National Higher Education Regulatory Council (NHERC)
• General Education Council (GEC)
• Higher Education Grants Council (HEGC)
• National Accreditation Council (NAC)
• Higher Education Grants Council (HEGC)
• HEGC is responsible for providing grants and financing higher education institutions.
• Its primary role includes ensuring proper distribution of financial resources to various educational institutions.
• Resource Allocation
• The allocation of resources for higher education involves the government, private sector, and other stakeholders.
• Effective resource allocation ensures the sustainability and quality of higher education.

The answer is  Statement I is correct but Statement II is incorrect.

Key Points

Statement I: (0.6875)₁₀ = (0.1011)₂

First, let's convert (0.6875) from decimal (base 10) to binary (base 2):

To convert a decimal fraction to binary, multiply by 2 and take the integer part as the next binary digit (repeat with the fractional part).

1. (0.6875 $\times 2 = 1.375)$ → Integer part: 1
2. (0.375 $\times 2 = 0.75)$ → Integer part: 0
3. (0.75 $\times 2 = 1.5)$ → Integer part: 1
4. (0.5 $\times 2 = 1.0)$ → Integer part: 1

Thus, (0.6875_{10} = 0.1011_{2}).

So, Statement I is correct.

Statement II: ((111011.101)₂ = (58.625)₁₀

First, let's convert (111011.101) from binary (base 2) to decimal (base 10):

• Split into integer and fractional parts: (111011_{2}) and (0.101_{2}).

For the integer part (111011_{2}):

[1 $\times 2^5 + 1 \times 2^4 + 1 \times 2^3 + 0 \times 2^2 + 1 \times 2^1 + 1 \times 2^0$] [= 32 + 16 + 8 + 0 + 2 + 1 = 59]

For the fractional part (0.101_{2}):

[1 $\times 2^{-1} + 0 \times 2^{-2} + 1 \times 2^{-3}$] [= 0.5 + 0 + 0.125 = 0.625]

So, (111011.101_{2} = 59 + 0.625 = 59.625_{10}).

Since (59.625 $\neq 58.625)$, Statement II is incorrect.

Conclusion:

A. Both Statement I and Statement II are correct. B. Both Statement I and Statement II are incorrect. C. Statement I is correct but Statement II is incorrect. D. Statement I is incorrect but Statement II is correct.

The most appropriate answer is: C. Statement I is correct but Statement II is incorrect.

The correct response is Alum.

Key Points

• Alum, or aluminum sulfate, is widely used in water treatment as a primary coagulant. It helps in the aggregation of fine particles into larger ones which can then be easily removed by sedimentation and filtration processes.
• Its effectiveness in reducing water turbidity and removing contaminants makes it the standard choice in many water treatment facilities.

 Additional Information

1. Hypochloride: This is likely a typo and might refer to hypochlorite, which is actually used for disinfection purposes in water treatment, killing bacteria and other pathogens, rather than as a coagulant.
2. Chlorine: Similar to hypochlorite, chlorine is primarily used as a disinfectant in water treatment processes. It is effective in killing bacteria and ensuring the water is safe for consumption but does not serve the purpose of coagulation.
3. Aluminium: While aluminum, in the form of aluminum sulfate (alum), is used as a coagulant, aluminum itself is a metal and not directly used in water treatment without being part of a compound.

 Important Points

• The process of coagulation involves the neutralization of the electrical charges of particles in the water, which allows them to stick together (coagulate) and form larger particles (flocs) that can be easily removed.
• Alum has been used for centuries in various forms for water purification. Its effectiveness, availability, and cost-effectiveness make it a popular choice even in modern water treatment processes.
• The choice of coagulant can depend on the specific requirements of the water treatment process, including the nature of the impurities present and the desired quality of the treated water. Other coagulants used include ferric sulfate, polyaluminum chloride (PAC), and others, each with its specific applications and effectiveness.

The correct answer is - Indira Gandhi National Open University, Delhi

Key Points

• Indira Gandhi National Open University (IGNOU), Delhi
• IGNOU was established in 1985 by an Act of Parliament.
• It was set up in accordance with the National Education Policy, 1986, which emphasized the need for distance and open education.
• The primary aim was to provide inclusive education to all sections of society, especially the disadvantaged.
• IGNOU is the world's largest university, offering a wide range of academic programs through distance learning.

Additional Information

• Dr. BR Ambedkar Open University, Hyderabad
• Established in 1982, this was the first Open University in India.
• It offers flexible learning opportunities through various programs.
• Karnataka State Open University, Mysore
• Founded in 1996, it aims to promote higher education through distance learning in the state of Karnataka.
• Yashwant Rao Chavan Maharashtra Open University, Nasik
• Established in 1989, it provides educational opportunities to a large section of the population in Maharashtra.
• It focuses on vocational, professional, and technical education through open and distance learning.

The correct answer is ‘There is illegal poaching of tigers.’

Key Points

• The passage specifically mentions the recent troubles in tiger tourism attributed to the rapid increase in tiger deaths due to illegal poaching.
• It identifies illegal poaching as the direct cause of the declining tiger population, which in turn affects the tourism industry built around these majestic animals.
• The concern here is not an overabundance of tigers or tiger-initiated human casualties, nor is it primarily about disturbances caused by tourists to tigers.
• The emphasis on illegal poaching highlights the illegal wildlife trade's impact on tiger reserves and the broader ecological and economic consequences.
• The problem of illegal poaching necessitates a response from tourism departments, wildlife organizations, and governance bodies, underlining its seriousness.

Therefore, the correct answer is 'Option 4'.

The correct answer is ‘Regulating commercial tourism’.

Key Points

• The passage addresses the debate over access to wildlife reserves in light of poaching concerns and suggests regulation rather than a complete ban on commercial tourism as the solution.
• Regulating commercial tourism is presented as a balanced approach that allows for ongoing education, monitoring, and conservation activities without the detrimental effects a complete ban would entail.
• The passage points out that a complete ban on public access could harm conservation efforts, including conservation education and monitoring activities.
• It acknowledges the value that regulated tourism can bring, not only in terms of economic benefits but also in fostering broader support for conservation efforts among the public.
• The regulation of commercial tourism is proposed as a proactive step to mitigate wildlife crimes while avoiding the negative consequences of more extreme measures.

Therefore, the correct answer is 'Option 3'.

The correct answer is ‘A Reserve’.

Key Points

• The term "reserve" is explicitly used in the passage to describe protected areas designated primarily for the conservation of wildlife, including tigers.
• A reserve is characterized by its purpose for protection, research, and maintaining the ecological, cultural, aesthetic values of the species it houses.
• Unlike a general forest, which may not have the same level of protection or management, a reserve implies managed conservation efforts.
• Countryside and cantonment don't apply as they refer to rural areas and military quarters, respectively, which are unrelated to the conservation context presented.
• Reserves play a critical role in the preservation of biodiversity and act as a cornerstone for ecological studies and public education.

Therefore, the correct answer is 'Option 1'.

The correct answer is ‘(A), (B) and (D) Only’.

Key Points

• The passage explicitly states that tigers are maintained in reserves due to their 'scientific, economic, aesthetic, cultural, and ecological values', which aligns with options (A) Ecological value, (B) Cultural value, and (D) Aesthetic value.
• There is no mention of tigers being kept in reserves for agricultural (C) or medicinal (E) purposes, making those choices inaccurate in this context.
• The ecological value pertains to the importance of tigers in maintaining the health and balance of their ecosystems.
• Cultural value reflects the significance of tigers in India's national identity and heritage.
• Aesthetic value acknowledges the inherent beauty and majesty of tigers, contributing to the education and enjoyment of the people.
• By highlighting these values, the passage underlines the multifaceted reasons behind tiger conservation efforts in reserves.

Therefore, the correct answer is 'Option 1'.

The correct answer is  ‘Statement I is incorrect but Statement II is correct’.

Key Points

• Statement I claims that banning commercial tourism will positively impact conservation activities, which contradicts the passage's assertion that a complete ban would harm conservation education, monitoring, and other activities.
• The passage advocates for regulation rather than a ban, suggesting that carefully managed tourism can support conservation efforts without the harmful consequences of a total prohibition.
• Statement II is correct; it accurately identifies the Indian tiger, or Panthera tigris tigris, as the national animal of India, which is explicitly mentioned in the passage.
• Recognizing the Panthera tigris tigris as the national animal underscores the significance of tiger conservation for India, both from a biological and a national heritage perspective.
• The passage emphasizes the complex relationship between tourism, conservation, and regulatory approaches, advocating for a balanced solution that supports both economic interests and conservation goals.

Therefore, the correct answer is 'Option 4'.

Given:

On thursday,

The speed of the boat = 11 km/hr

The speed of the stream = 7 km/hr

Calculation:

According to the question,

⇒ X/4 - (X + 120)/18 = 26

⇒ (7X - 240)/36 = 26

⇒ 7X = 1176

⇒ X = 168

∴ Distance covered in downstream = 168 + 120 = 288 km

Now, difference = 288/4 - 288/18

⇒ 72 - 16 = 56 hrs

Hence, the correct answer is 56 hours.

Given:

Distance covered upstream on Friday = 324

Total time taken = 72 hrs

Ratio of speed of boat to speed of stream = 2 : 1 

Calculation:

Let the speed of boat and speed of stream be 2a and a respectively

According to the question,

⇒ 324/(2a + a) + 324/(2a - a) = 72

After solving, we get, a = 6

So, speed of stream is 6 km/hr and speed of boat is 12 km/hr

Difference in time = 324/(12 - 6) – 324/(12 + 6)

⇒ 54 - 18 = 36 hours

Hence, the correct answer is 36 hours.

Given:

Distance travelled (downstream/upstream) = 320 km

Speed of stream = 4 km/hr

Calculation:

Let the speed of the boat be v km/hr

According to the question,

⇒ 320/(v - 4) - 320/(v + 4) = 20

After solving, we get v = 12 km/hr

So, total time = 320/(12 - 4) + 320/(12 + 4)

⇒ 40 + 20 = 60 hours

Hence, the correct answer is 60 hours.

Given:

Downstream speed = 24 km/hr

Total time taken = 75 hrs

Difference between the time taken in upstream and downstream = 45 hrs

Calculation:

Let upstream distance = downstream distance = x km

Speed of boat = a km/hr, speed of stream = b km/hr

According to the question,

⇒ x/(a-b) + x/(a+b) = 75 

⇒ 2xa/(a2 – b2) = 75                          ……..(1)

Also

⇒ x/(a-b) – x/(a+b) = 45

⇒ 2xb/(a2 – b2) = 45                         ……..(2)

Dividing (1) by (2)

⇒ a/b = 5/3

⇒ 3a – 5b = 0                                   ..……(3)

Also, a + b = 24                                 …….(4)

Solving (3) and (4)

a = 15, b = 9

From x/(a-b) + x/(a+b) = 75

After solving, x = 360 km

Hence, total distance travelled = 2 × 360 = 720 km

∴ The correct answer is 720 km.

Given: 

Distance covered by the boat on wednesday = 270 km

Speed of the stream = 6 km/hr

Calculation:

Let the speed of the boat be v km/hr

⇒ 270/(v - 6) - [135/(v - 6) + 135/(2v - 6)] = 33.75

⇒ 270/(v - 6) - 135/(v - 6) - 135/(2v - 6) = 33.75

⇒ 135/(v - 6) - 135/(2v - 6) = 33.75

⇒ 1/(v - 6) - 1/(2v - 6) = 1/4

After solving we get, v = 9

Speed of the boat = 9 km/hr

So, time taken = 270/(9 - 6) + 270/(9 + 6)

⇒ 90 + 18 = 108 hours

Hence, the correct answer is 108 hours.

The correct answer is PhET Interactive Simulations.

Key Points

PhET Interactive Simulations:

• This is a project at the University of Colorado Boulder that creates free interactive math and science simulations.
• PhET simulations are based on extensive education research and engage students through an intuitive, game-like environment where students learn through exploration and discovery.
• It offers over 200 simulations in topics such as physics, chemistry, math, earth science, and biology.

Additional Information 

Plotagon:

• Plotagon is an application that allows users to create animated videos and stories.
• It is not specifically designed for virtual labs or simulations in the context of scientific or educational research.

Wakelet:

• Wakelet is a content curation platform that allows users to save, organize, and share content from the web.
• It is more focused on collecting and sharing web resources rather than creating virtual labs or simulations.

Flipgrid:

• Flipgrid is a social learning platform that allows educators to ask a question, and then the students respond in a video format.
• It is aimed at fostering discussion and sharing among students rather than creating or running simulations or virtual labs.

The correct response is Motivation

Key Points

• Motivation is the internal drive that propels students to initiate learning activities, persist in them, and be committed to achieving learning goals.
• It encompasses both intrinsic motivation, which is driven by an interest or enjoyment in the task itself, and extrinsic motivation, which is driven by external rewards or pressures.
• In self-directed learning, where learners have more autonomy over their learning process, motivation is crucial for ensuring that they set goals, seek out learning opportunities, and persevere through challenges.

Additional Information 

Fixation:

• This refers to an obsessive interest or feeling about someone or something. In the context of learning, fixation might limit flexibility and adaptability, making it less relevant as a driving force for self-directed learning.

Metacognition:

• While metacognition, which involves awareness and understanding of one's thought processes, is important for self-directed learning, it is more of a tool or strategy learners use to monitor and evaluate their learning rather than the driving force behind their commitment and persistence.

Assessment:

• Assessment, which can be seen as a measure of learning progress, provides feedback that might influence motivation but in itself is not a driving force.
• It is more of an external mechanism to gauge learning outcomes rather than an internal drive that propels learners to engage in self-directed learning activities.

The correct response is Both Statement I and Statement II are correct

Key Points 

Statement I Analysis:

 

• The statement describes passive style as a way of dealing with conflict where individuals do not assert themselves and remain submissive.
• This means they avoid expressing their needs or desires to others, often to avoid confrontation.
• This description accurately captures the essence of a passive conflict resolution style, where individuals may prioritize harmony over their interests.

Hence, Statement I is correct.

Statement II Analysis:

• The statement characterizes manipulative style as a conflict management approach where individuals attempt to achieve their objectives by inducing guilt in others.
• This involves indirect influence tactics rather than open communication, aiming to control the situation or outcome by playing on others' emotions.
• This accurately reflects the manipulative style, which relies on indirect or underhanded methods to get what one wants, often at the expense of others' feelings.

Hence, Statement II is correct.

Therefore, the correct answer is option 1, Both Statement I and Statement II are correct.

The correct response is Near transfer

Key Points

• Near transfer refers to the application of learned skills or knowledge to similar contexts or situations that are closely related to the original learning environment.
• In this case, the skills acquired from typing on a typewriter are being applied to typing on a computer keyboard, which is a very similar task.
• The keyboards have similar layouts and require similar motor skills, making the transfer of typing skills relatively straightforward.

Additional Information

Far transfer:

• This involves applying learned skills or knowledge to situations that are significantly different from the original learning context.
• An example of far transfer would be using problem-solving skills learned in mathematics to navigate social situations.
• This option is incorrect because typing on a computer keyboard is not significantly different from typing on a typewriter.

High-road transfer:

• This type of transfer requires explicit and conscious effort to apply what one has learned in one context to another, often involving abstraction and deep understanding.
• An example might be applying principles of physics learned in class to solve real-world engineering problems.
• This option is incorrect because transferring typing skills from a typewriter to a computer does not typically require such a conscious effort of abstraction.

Low-road transfer:

• This involves the automatic transfer of highly practiced skills to similar contexts, without the need for conscious thought.
• While typing on a typewriter to a computer keyboard might seem like it fits this definition, the term "low-road transfer" often refers to more instinctual or automatic skills, like driving different models of cars.
• However, the specific context of learning to type on different devices is more accurately captured by the term "near transfer" due to the direct similarity and slight adjustment needed between the two tasks.

The correct response is the Availability of instructional facilities.

Key Points 

• The availability of instructional facilities plays a crucial role in creating an effective learning environment. Instructional facilities, including libraries, laboratories, classrooms, technology, and educational resources, directly impact the quality of education and learning outcomes.
• These facilities support diverse teaching methods, cater to different learning styles, and provide students with the tools necessary to explore, experiment, and understand concepts deeply.

Additional Information 

1. Teacher's qualification: While the qualifications of a teacher are important for providing quality education, they do not solely create an effective learning environment. A highly qualified teacher still needs the proper facilities and resources to deliver the best educational experience.
2. Focus on foreign language use: Focusing on foreign language use can enhance students' linguistic skills and global awareness but is not the foundational factor in creating an overall effective learning environment. It is more of a curriculum choice than a universal factor affecting learning environment efficacy.
3. Admission to students from the elite class: Admitting students from the elite class does not inherently contribute to an effective learning environment. An effective learning environment is inclusive and supports the learning needs of all students, regardless of their socioeconomic status. This option does not address the core needs of creating a conducive learning atmosphere for all.

The correct response is Statement I is true but Statement II is false

Key Points

Statement (I) Analysis:

• Quantitative content analysis is a research method used in social science to quantify and analyze the presence, meanings, and relationships of certain words, themes, or concepts within texts or sets of texts.
• This method involves counting and analyzing the occurrence of specific elements in a text, which allows for the collection of statistical data.
• The process is considered transparent because it relies on explicit, systematic, and replicable steps that other researchers can follow and verify. The methodology, coding scheme, and rationale behind category selection are usually well-documented, making the research process open and clear to scrutiny.

Hence, Statement I is correct.

Statement (II) Analysis:

• The term "obtrusive method" in research refers to techniques that might alter the behavior of subjects being studied because they are aware of the researcher's presence or the study itself. Common examples include certain types of observations or experiments where the presence of the researcher might influence the subjects' actions or responses.
• Quantitative content analysis, on the other hand, is considered an unobtrusive or non-reactive method because it does not involve direct interaction with the subjects of the study. Researchers analyze existing texts, media, or artifacts without needing to interact with the people who produced those materials. This lack of interaction means that the research does not influence the behavior or responses of the subjects, thereby preserving the natural state of the data being analyzed.

Hence, Statement II is false.

The correct response is (A), (C) and (D) Only.

 Key Points

 

SPSS

• SPSS (Statistical Package for the Social Sciences) is a widely used software for statistical analysis in social science.
• It is also used by market researchers, health researchers, survey companies, government, education researchers, marketing organizations, data miners, and others.
• Hence, Statement A is correct.

MINITAB 

• MINITAB is a statistics package developed at Pennsylvania State University by researchers Barbara F. Ryan, Thomas A. Ryan, Jr., and Brian L. Joiner in 1972.
• It is specifically designed for the teaching of introductory statistics and is also used in some more advanced applications. Hence, Statement C is correct.

R

• R is a programming language and free software environment for statistical computing and graphics supported by the R Foundation for Statistical Computing.
• It is widely used among statisticians and data miners for developing statistical software and data analysis. Thus, Statement D is correct.

Additional Information

Ithenticate  

Ithenticate is a plagiarism detection service and does not perform statistical analysis. It is primarily used for checking the originality of content. Therefore, Statement B is incorrect for the context of statistical analysis.

The correct response is Digital Object Identifier.

Key Points 

Digital Object Identifier 

• A DOI is a unique alphanumeric string assigned to a document (such as a research article) that provides a permanent link to its location on the internet.
• This ensures that the document can always be found, even if its URL changes over time. DOIs are commonly used in academic publishing to identify journal articles, research reports, data sets, and official documents.

Additional Information 

Data Object Integration 

• While this sounds technical and relevant to data management or software engineering, it does not pertain to the identification and persistent linking of published content such as research articles.

Data Object Interface

• This option seems to suggest a mechanism for interfacing with data objects, which could be relevant in programming or database management contexts.
• However, it has no relation to the unique and persistent identification of digital documents or articles in the academic and publishing world.

Digital Object Interface

• Although this option combines terms related to digital content and interfaces, it does not accurately describe a system used for the persistent identification and access of digital documents.
• The focus here seems to be more on the interaction with digital objects rather than the identification and linking aspect critical for academic and research publications.

The correct response is Skewness.

Key Points 

Skewness 

• Skewness is a measure used to describe the degree of asymmetry of a distribution. If the distribution is symmetrical, the skewness will be zero.
• A positive skew indicates that the tail on the right side of the distribution is longer or fatter than the left side, and vice versa for a negative skew.
• This makes skewness the most appropriate measure for commenting on the asymmetry of a distribution.

Additional Information 

Central Tendency

• Measures of central tendency, such as the mean, median, and mode, describe the center or typical value of a distribution.
• While these measures can indicate where most values in a distribution fall, they do not provide information about the asymmetry of the distribution.

Dispersion

• Dispersion measures, including range, variance, and standard deviation, indicate how spread out the values in a distribution are.
• While these measures can tell us about the variability within a distribution, they do not directly inform us about the distribution's asymmetry.

Kurtosis

• Kurtosis is a measure of the "tailedness" of the probability distribution. It tells us how heavily the tails of a distribution differ from the tails of a normal distribution.
• Kurtosis is more about the extremities than the symmetry, making it less suitable for commenting specifically on asymmetry compared to skewness.

The correct response is (A) - (II), (B) - (IV), (C) - (1), (D) - (III).

Key Points

Firewall: Hardware or software that sits between a user's computer and an external network, which filters data coming to and from the computer

• A firewall acts as a barrier or filter between a private internal network and the public Internet.
• It can be implemented in both hardware and software or a combination of both. The primary purpose of a firewall is to control the flow of incoming and outgoing network traffic based on an organization's set of security policies.
• By doing so, it helps to protect the network from unauthorized access, cyber-attacks, and other vulnerabilities.

Digital certificate: Pairs of files stored on the user's computer; each pair contains a public key and private key 

• This definition actually describes a digital certificate incorrectly. Digital certificates are used to certify the ownership of a public key by the named subject of the certificate.
• This allows others to rely upon signatures or assertions made by the private key that corresponds to the certified public key.
• A better description for digital certificates is: A form of identification issued by a Certificate Authority that verifies the identity of the certificate holder and their ownership of a public key. The error in the matching seems to be a mistake in the provided solutions.

Cookies: Used to remember user's preferences each time they visit websites.

• Cookies are small pieces of data sent from a website and stored on the user's computer by the user's web browser while the user is browsing.
• Cookies are designed to be a reliable mechanism for websites to remember stateful information (such as items added in the shopping cart in an online store) or to record the user's browsing activity (including clicking particular buttons, logging in, or recording which pages were visited in the past).
• They can also be used to remember pieces of information that the user previously entered into form fields, such as names, addresses, passwords, and credit card numbers.

 

Hypervisor: Software, firmware or hardware that creates and runs a virtual machine.

• A hypervisor, also known as a virtual machine monitor (VMM), is a piece of computer software, firmware, or hardware that creates and runs virtual machines.
• A computer on which a hypervisor is running one or more virtual machines is called a host machine, and each virtual machine is called a guest machine.
• The hypervisor presents the guest operating systems with a virtual operating platform and manages the execution of the guest operating systems. Multiple instances of a variety of operating systems may share the virtualized hardware resources.

The correct response is Hypermediacy

Key Points Hypermediacy:

• This is the correct concept that refers to a style of visual representation whose goal is to remind the viewer of the medium.
• It often involves multiple forms of media, fragmentation, and a nonlinear approach to narrative.
• It draws attention to the process of mediation and the technology behind it, creating an awareness of the medium itself. Hypermediacy acknowledges and makes visible the interface and the technology involved in media production.

Additional Information 

Immediacy:

• This concept is the opposite of hypermediacy. It aims to make the viewer forget about the medium and become fully immersed in the content.
• The goal is to create an experience that seems direct and unmediated, often through realistic and seamless representations. Immediacy tries to hide the signs of mediation and technology to make the experience feel more authentic.

Media tendency:

• This is not a widely recognized term in the context of media theory. While media can exhibit tendencies or trends, the term does not specifically refer to a conceptual approach or philosophical stance towards the medium itself, unlike hypermediacy or immediacy.

Multi-mediacy:

• Although not a standard term, this could be interpreted as the use of multiple forms of media together. However, it does not specifically describe an approach to or philosophy of media that emphasizes the medium or the experience of mediation in the way that hypermediacy does.
• Multi-mediacy could involve combining text, image, sound, and video, but without the self-reflexive aspect of hypermediacy that draws attention to the medium itself.

The correct response is Statement I is correct but Statement II is incorrect

Key Points 

Statement I: Communication is a social process in which people use symbols to interpret meanings in their own environment.

• This statement is correct. Communication indeed is a social process that involves the exchange of messages or information between individuals through various channels.
• These messages are often encoded in symbols (such as language, gestures, and signs) that need to be interpreted or decoded by the receiver within their specific social and environmental context.
• This process allows individuals to share ideas, feelings, and information, facilitating social interaction and understanding.

Statement II: People and their interactions are not part of the communication process, because communication cannot be social.

• This statement is incorrect. The assertion that communication cannot be social contradicts the fundamental nature of communication.
• Communication is inherently a social process because it involves interactions between people, whether directly (face-to-face) or indirectly (through various media).
• The essence of communication is to connect individuals socially, enabling them to exchange thoughts, information, and emotions. The involvement of people and their interactions is central to the communication process, making it intrinsically social.

Shortcut Trick

Ratio of First : Second = 2 : 3

Ratio of Second : Third = 7 : 9

Combined Ratio (A : B : C) = (2×7) : (3×7) : (3×9) = 14 : 21 : 27

Sum of ratio parts = 14 + 21 + 27 = 62 units

62 units → 124 ⇒ 1 unit → 2

Third number = 27 units = 27 × 2 = 54

∴ The correct answer is 54.

Alternate Method

Given:

Sum of three numbers (A + B + C) = 124

A : B = 2 : 3

B : C = 7 : 9

Formula Used:

To combine ratios A : B and B : C, multiply to make the common term (B) equal.

Calculations:

⇒ A : B = (2 × 7) : (3 × 7) = 14 : 21

⇒ B : C = (7 × 3) : (9 × 3) = 21 : 27

⇒ Combined Ratio A : B : C = 14 : 21 : 27

⇒ Let the numbers be 14x, 21x, and 27x

⇒ 14x + 21x + 27x = 124

⇒ 62x = 124

⇒ x = 124 ÷ 62 = 2

⇒ Third number (C) = 27x = 27 × 2 = 54

∴ The correct answer is 54.

Additional Information

Compound Ratio

The compound ratio of a : b and c : d is (a × c) : (b × d).

Ratio Balancing

To merge two ratios with a common element, find the LCM of the common element's values in both ratios.

Proportion Rule

If a : b = c : d, then product of extremes (a × d) = product of means (b × c).

The correct answer is (B), (A), (C), (D)

Key Points

To solve this question, we need to understand the concept of intension in a logical or linguistic context. Intension refers to the internal content of a term or concept undefined that is, the necessary attributes that the term encompasses.

A term with higher intension has more specific attributes, making it more narrowly defined, whereas a term with lower intension is more broadly defined, encompassing a wider range of objects or concepts.

Let's analyze the terms given in the question:

• Cheese (A): This is a broad category that includes all types of cheese.

• Dairy product (B): This is an even broader category that includes not only all types of cheese but also other products derived from milk, such as butter, yogurt, and ice cream.

• Soft Cheese (C): This is a narrower category than cheese, as it only includes cheeses that are soft.

• Strong Soft Cheese (D): This is the most specific category, including only soft cheeses that have a strong flavor.

Now, let undefineds arrange these terms in order of increasing intension:

1. Dairy product (B): Has the lowest intension because it is the most general term, encompassing a wide range of products.

2. Cheese (A): Has a higher intension than "Dairy product" because it is more specific, referring only to cheese.

3. Soft Cheese (C): Has a higher intension than "Cheese" because it specifies a particular kind of cheese, narrowing down the category further.

4. Strong Soft Cheese (D): Has the highest intension because it is the most specific term, describing only soft cheeses that have a strong flavor.

Given the options:

• 1. (B), (A), (C), (D)
• 2. (B), (D), (C), (A)
• 3. (D), (C), (B), (A)
• 4. (D), (C), (A), (B)

The correct answer is:

• 1. (B), (A), (C), (D)

Solution Statement:

• The term Dairy product (B) has the lowest intension, making it the broadest category.

• Cheese (A) is more specific than "Dairy product," but still a broad category.

• Soft Cheese (C) narrows down the category of cheese further by specifying a texture.

• Strong Soft Cheese (D) is the most specific term, indicating not only texture but also flavor intensity.

Hence, the correct option is Option 1, which arranges the terms in order of increasing intension: (B), (A), (C), (D).

The correct response is Statement I is correct but Statement II is incorrect.

Key Points 

Statement I: Google is a web search engine, while Google Chrome is a web browser.

• Google is indeed a web search engine that allows users to search for information on the internet. Google Chrome, on the other hand, is a web browser developed by Google that enables users to access the internet and view web pages. Hence, Statement I is correct.

Statement II: Microsoft Edge is a web search engine, while Microsoft Bing is a web browser.

• Microsoft Edge is a web browser designed by Microsoft to allow users to access the internet, similar to Google Chrome. Microsoft Bing, contrary to the statement, is a web search engine provided by Microsoft that helps users find information online. Therefore, Statement II is incorrect.

The correct response is Statement I is incorrect but Statement II is correct.

Key Points

Statement (I) claims that communication cannot reflect the cultural conduct of people.

• This statement is incorrect because communication is deeply intertwined with culture.
• The way individuals communicate is defined through language, non-verbal cues, rituals, and even through the mediaundefinedoften reflects their cultural backgrounds, values, and norms.
• Cultural conduct and communication are so closely linked that understanding a culture's communication style is essential to understanding the culture itself. Hence, Statement I is incorrect.

Statement (II) asserts that communication is a practice integral to the formation of social life.

• This statement is correct. Communication is fundamental to the development and maintenance of social relationships and structures. Through communication, individuals share information, express emotions, negotiate identities, and build communities.
• It enables the socialization process, where individuals learn the norms, values, and behaviors accepted within their society.
• Moreover, communication technologies and practices shape and are shaped by social institutions and processes, further illustrating their integral role in social life. Hence, Statement II is correct.

Given:

Initial speed of car = 50 km/hr

Increase in speed per hour = 5 km/hr

Distance to be covered = 630 km

Formula used:

Sum of 'n' terms of an A.P. is given by,

S_n = (n/2) [2a + (n - 1)d]

where n = number of terms, a = 1^st term and d = common difference

Calculation:

Let 'n' be the time taken by the car to cover the distance.

According to the question,

The distance covered by the car in 1^st hour = 50 km

The distance covered by the car in 2^nd hour = 55 km

50 + 55 + ............. = 630

Here Sn = 630, a = 50 and

d = 55 - 50

⇒ 5

Now,

630 = (n/2) [2 × 50 + (n - 1) × 5]

⇒ 1260 = 5n [20 + n - 1]

⇒ 252 = n [19 + n]

⇒ n [n + 19] = 9 × 28

⇒ n [n + 19] = 9 × [9 + 19]

⇒ n = 9

∴ The time taken by the car to cover 630 km is 9 hours.

Given:

0, 2, 24, 252, P

The pattern followed here is,

Similarly,

P = 5⁵ - 5

⇒ 3125 - 5 = 3120

Hence, 3120 is the correct answer.

The correct response is (B) and (D) Only

Key Points

Statement A: All mammals are vertebrates. This statement is correct, as all mammals, by definition, have a backbone, making them vertebrates.

Statement B: Some mammals are vertebrates. This statement is also correct but is partially true when considering the entirety of mammals. Since all mammals are vertebrates, saying "some" are vertebrates understates the fact but doesn't make it false.

Statement C: Some mammals are not vertebrates. This statement is incorrect because, by definition, all mammals have a backbone, which classifies them as vertebrates. There are no mammals that are not vertebrates.

Statement D: No mammals are vertebrates. This statement is incorrect as it directly contradicts the fact that all mammals have a backbone, making them vertebrates.

To determine which statements cannot both be true, nor can they both be false, we analyze the relationships:

• (A) and (B) can both be true in a broader sense because if all mammals are vertebrates, it is also true that some are, but they can't both be false since at least some (indeed all) mammals are vertebrates.

• (B) and (D) cannot both be true because if no mammals are vertebrates, it cannot be true that some mammals are vertebrates. They also cannot both be false because if it's false that no mammals are vertebrates (meaning some or all are), it must be true that some mammals are vertebrates. Hence, Statements (B) and (D) are so related that they cannot both be true, nor can they both be false.

• (C) and (D) could both be false since it's false that some mammals are not vertebrates (because all are), and it's false that no mammals are vertebrates (because all are). However, they can't both be true because it's impossible for no mammals to be vertebrates while simultaneously some mammals are not vertebrates (given all are vertebrates).

• (A) and (D) cannot both be true because if all mammals are vertebrates, it cannot be that no mammals are vertebrates. They also cannot both be false because if it's false that all mammals are vertebrates, it doesn't automatically imply that no mammals are vertebrates, given the universal truth that all mammals are indeed vertebrates.

Hence, the correct answer is option 2: (B) and (D) Only.

The correct response is Begging the question

Key Points

• The statement commits the fallacy of "Begging the Question." This occurs when the argument's conclusion is assumed in one of the premises, making the argument circular.
• In this case, the statement assumes that economic progress can only be achieved through political stability, which is precisely what it's trying to prove. There's no evidence provided to support this claim; it's simply taken as a given.

 Additional Information

• Slippery Slope: This fallacy occurs when an argument suggests that a relatively small first step leads to a chain of related events culminating in some significant effect, usually negative. The original statement does not suggest any chain of events, making this choice incorrect.
• Red Herring: This involves introducing an irrelevant topic to divert attention from the subject at hand. The statement in question does not divert but directly addresses the relationship between political stability and economic progress, making this option incorrect.
• Hasty Generalisation: This fallacy is made when a conclusion is not logically justified by sufficient or unbiased evidence. While the statement does make a broad claim, the specific fallacy of "hasty generalisation" isn't the best fit because the issue lies in the assumption that political stability is a prerequisite for economic progress, not in the generalization from insufficient evidence.

In summary, the statement's flaw is assuming what it needs to prove without offering evidence, which is why "Begging the Question" is the correct identification of the fallacy.

The correct response is Both Statement I and Statement II are correct.

Key Points

Understanding the Fallacy of the Irregular Middle:

• The fallacy of the irregular middle (also known as the fallacy of the undistributed middle) occurs in a categorical syllogism when the middle term is not distributed in either the major or minor premise.
• This means the middle term does not apply to all possible instances in at least one premise, leading to a logical inconsistency where the conclusion does not necessarily follow from the premises.

Analyzing Statement I: "The hill has fire because it is knowable":

• The statement attempts to establish a cause (fire on the hill) based on a property (knowability).
• The middle term here ("knowable") does not logically connect the subject (the hill) with the predicate (has fire) in a way that validates the conclusion.
• This is a classic example of the fallacy of the irregular middle, as the property of being "knowable" does not directly correlate to the specific condition of "having fire."

Hence, Statement I is correct in identifying a fallacy of the irregular middle.

Analyzing Statement II: "Sound is eternal because it is audible":

• This statement claims a characteristic of sound (eternity) based on another characteristic (audibility).
• Similar to Statement I, the middle term ("audible") does not logically justify the conclusion that sound is eternal.
• The audibility of sound does not inherently imply that sound is eternal, showcasing another instance of the fallacy of the irregular middle.

Hence, Statement II is also correct in identifying a fallacy of the irregular middle.

The correct response is (D), (C), (B), (A)

Key Points 

1. Processor Registers: These are the fastest and smallest form of memory available in a computer system. They are located within the CPU (Central Processing Unit) and are used for holding the data that the CPU is currently processing. Due to their speed and proximity to the CPU, they are also the most expensive form of memory on a per-byte basis.

2. Random Access Memory (RAM): This is the main memory used by a computer to store data that is actively being used or processed by the CPU. It is much faster than secondary storage (e.g., hard drives, SSDs) but slower than processor registers. RAM is volatile, meaning it loses its data when the power is turned off.

3. Magnetic Hard Disk: This is a type of secondary storage that uses magnetic storage to store and retrieve digital information using one or more rigid rapidly rotating disks (platters) coated with magnetic material. While not as fast as RAM or processor registers, hard disks offer much larger storage capacity at a lower cost per byte.

4. Magnetic Tape: This is another form of secondary storage that is even slower than hard disks but offers very high capacities at a very low cost per byte. It is typically used for archival storage or backup where speed is not a critical factor.

Option 4 (D), (C), (B), (A): This option correctly places Processor Registers first (fastest and smallest), followed by RAM, then Magnetic Hard Disk, and finally Magnetic Tape (slowest and largest capacity).

• Hence, Option 4 is correct as it accurately reflects the memory hierarchy from fastest to slowest and from least to most capacity.

The correct response is refer to.

Key Points

The abbreviation "vide" is used in academic writing to instruct the reader to refer to a specific piece of information elsewhere in the text or in another document. It is derived from the Latin word "videre," meaning "to see," and is commonly used to guide the reader to look at or consult a particular reference or section for additional details.

Additional Information 

• Against This option is incorrect because "against" is not related to the directive nature of "vide" in academic contexts. "Against" is used to indicate opposition or contrast, which is not the purpose of "vide."
• Width: This option is incorrect because "width" refers to the measurement of something from side to side, which has no relevance to the academic directive to refer to another piece of information.
• Namely: This option is incorrect because "namely" is used to specify or clarify something mentioned previously; it does not imply referring to another source or section for more information.

The correct response is Agora

Key Points 

• The term "Agora" historically refers to a public open space used for assemblies and markets in ancient Greek city-states.
• In the context of cyberspace, it is compared to an "Agora" because it serves as a digital gathering place where people can freely exchange ideas, goods, and services, much like the ancient marketplaces.
• This analogy highlights the communal and interactive nature of the internet.

 Additional Information

• Screen: This option is incorrect because a screen is merely a display device used to present information or content. While cyberspace is accessed through screens, the comparison does not capture the interactive and communal aspects of cyberspace.
• Salon: This option refers to a gathering of people under the roof of an inspiring host, held partly to amuse one another and partly to refine the taste and increase the knowledge of the participants through conversation. Although cyberspace can serve similar purposes, the term "Salon" does not encompass the vast, open, and public nature of cyberspace.
• Complex: This option is too broad and vague. While cyberspace is indeed complex, this term fails to specifically describe the nature of interaction and community found within cyberspace. "Complex" could refer to any system with multiple components and does not adequately convey the idea of a gathering space.

The correct resposne is (B), (C) and (D) Only

Key Points

Statement B: Words are symbols for concepts.

This statement is correct. Words act as symbols or representations for concepts, ideas, objects, etc. This symbolic nature of language allows us to communicate complex ideas and thoughts.

Statement C: Labels may be ambiguous.

This statement is correct. Labels, much like words, can be ambiguous. The ambiguity arises from different interpretations, contexts, and the inherent vagueness that some labels might carry.

Statement D: Symbols are usually understood within a group.

This statement is correct. Symbols, including words, gestures, and other forms of communication, often have meanings that are specific to a particular group or culture. These symbols are understood within the group because they share a common context and set of experiences.

 Additional Information

Statement A: Communicated meanings are always ambiguous.

This statement is incorrect. While it's true that communicated meanings can sometimes be ambiguous due to language nuances, context, and personal interpretations, it's not accurate to say they are always ambiguous. Effective communication strategies and clear context can significantly reduce ambiguity.

Statement E: Sharing of meaning is not possible in communication.

This statement is incorrect. The fundamental purpose of communication is to share meanings between individuals or groups. While perfect understanding may not always be achieved, sharing of meaning is not only possible but is a primary function of communication.

Hence, the correct answer is option 2, which includes Statements B, C, and D as true in respect of communication.

Given:

The average salary of all the workers = Rs. 7000

Average of 12 employees = Rs. 40000

Calculation:

Let total number of employees be x.

The total salary of all the workers = 7000x

and, total salary of 12 employees = 40000 × 12

⇒ Rs. 480000

Total salary of rest of workers = 6000(x - 12)

⇒ 6000x - 72000

According to the question,

⇒ 7000x = 480000 + 6000x - 72000

⇒ 1000x = 408000

⇒ x = 408

∴ The total number of employees is 408.

Given:

The cost price = 75% of the marked price

Calculation:

Let the M.P. be Rs. 100.

then, the C.P. will be Rs. 75

According to the question,

After giving 15% of discount on M.P.

S.P. ⇒ (100 - 15) / 100 × 100

S.P. ⇒ Rs. 85

Profit % = (S.P. - C.P.) / C.P. × 100

⇒ (85 - 75) / 75 × 100

⇒ 10/75 × 100

⇒ 13\({1 \over 3}\)%

∴ The correct answer is 13\({1 \over 3}\)%.

The correct response is No rectangles are non-polygon.

Key Points

• The statement "All rectangles are polygons" is logically equivalent to saying "No rectangles are non-polygons." This means that if something is a rectangle, it cannot be outside the category of polygons.
• Hence, option 2, "No rectangles are non-polygon," directly reflects this logical equivalence by stating that there's no instance where a rectangle is not a polygon, aligning perfectly with the original statement's intent.

Additional Information 

Option 1: "Some rectangles are polygons."

This option is incorrect because it suggests that only a portion of rectangles are polygons, which contradicts the absolute nature of the original statement that includes all rectangles without exception.

Option 3: "No non-rectangles are non-polygons."

This statement is not equivalent because it discusses non-rectangles and their relationship to non-polygons, which does not directly relate to the assertion that all rectangles are polygons. It introduces a double negation that shifts the focus away from the original subjects (rectangles and polygons).

Option 4: "All non-polygons are rectangles."

This option is incorrect as it inversely asserts that anything which is not a polygon must be a rectangle, which is a different statement altogether and does not reflect the original claim about the relationship between rectangles and polygons.