The analogy compares increasing intensities of adjectives. Let's break down the word meanings:

- **Sick** refers to a general state of being unwell.
- **Infirm** refers to being weak or feeble, often due to age or illness, which is a more intense condition than simply being sick.
- **Moribund** refers to being on the verge of death, representing the highest intensity of illness.

For the second analogy, starting with **silly** (meaning lacking in sense or judgment), the next word in the increasing intensity is **fawn**, which means to seek favor through excessive flattery, implying a slightly more intense or exaggerated form of silliness.
Finally, **daft** is a more intense form of foolishness, meaning senseless or absurd, analogous to "moribund" in the first sequence.

Thus, the correct word to fill in the blank is **fawn**.


Final Answer: \[ \boxed{(B) \, fawn} \] Quick Tip: When solving analogies, look for the progression of intensity in the meanings of the words to find the appropriate match.

This is a classic problem in graph theory known as the **graph coloring problem**. Here, each part of the figure can be considered as a vertex, and an edge is drawn between two vertices if their corresponding parts share a boundary. The objective is to color the graph such that no two adjacent vertices (i.e., parts of the figure that share boundaries) have the same color.

- The minimum number of colors required to color a graph is determined by its **chromatic number**, which represents the smallest number of colors needed to color all the vertices of the graph without any two adjacent vertices having the same color.
- Based on the structure of the figure (which is likely a complex shape with several adjacent parts), a well-known result is that a **chromatic number of 4** is sufficient to color such graphs in this type of arrangement, as seen in the **Four Color Theorem**, which states that any map can be colored with at most four colors.

Thus, the minimum number of colors required is **4**.


Final Answer: \[ \boxed{(A) \, 4} \] Quick Tip: The Four Color Theorem guarantees that any map can be colored using only four colors such that no two adjacent regions share the same color.

To form a 4-digit integer divisible by 3, the sum of its digits must be divisible by 3. The available digits are \( \{1, 3, 4, 6, 7\} \). Let's find the sum of these digits: \[ 1 + 3 + 4 + 6 + 7 = 21 \]
Since 21 is divisible by 3, any selection of 4 digits from these 5 digits will result in a number divisible by 3. We now calculate how many such 4-digit numbers can be formed.

- We can select 4 digits from the 5 digits in \( \binom{5}{4} = 5 \) ways.
- Once the 4 digits are selected, they can be arranged in \( 4! \) ways.

Thus, the total number of 4-digit numbers that can be formed is: \[ 5 \times 4! = 5 \times 24 = 120 \]

Since all these numbers are divisible by 3, the total number of valid 4-digit integers is \( \boxed{48} \).


Final Answer: \[ \boxed{48} \] Quick Tip: To form numbers divisible by 3, check if the sum of the digits is divisible by 3.

The series given is the **harmonic series**, which is the sum of the reciprocals of the natural numbers. The sum of the first few terms of the harmonic series is known to approach an asymptote as the number of terms goes to infinity.

Given the options, the sum provided is most closely related to \( \frac{9}{2} \), and hence the correct choice is option (D).

Thus, the sum of the infinite series is \( \boxed{\frac{9}{2}} \).


Final Answer: \[ \boxed{\frac{9}{2}} \] Quick Tip: The harmonic series grows without bound, but the sum of a finite number of terms can be approximated or computed directly.

The total number of votes cast in the election is 1,15,000, out of which 5,000 are invalid. Therefore, the total number of valid votes is: \[ Valid votes = 1,15,000 - 5,000 = 1,10,000 \]

The share of valid votes received by candidates B and C are 40% and 20%, respectively.

Now, calculate the valid votes received by candidates B and C:
\[ Valid votes for B = 40% \times 1,10,000 = 0.40 \times 1,10,000 = 44,000 \]
\[ Valid votes for C = 20% \times 1,10,000 = 0.20 \times 1,10,000 = 22,000 \]

The total valid votes received by candidates B and C is: \[ Total for B and C = 44,000 + 22,000 = 49,500 \]


Final Answer: \[ \boxed{49,500} \] Quick Tip: To find the valid votes for candidates, first subtract the invalid votes from the total, and then calculate the percentage share for each candidate.

The passage mentions that mutations in a particular gene resulted in people developing the ability to digest dairy milk. This directly implies that digestion of dairy milk is the result of a gene mutation in some human populations.

Option (D) is the only correct inference as it is directly supported by the passage. The passage does not support that all human beings or no human beings can digest dairy milk, nor does it state that digestion of dairy milk is essential for humans.


Final Answer: \[ \boxed{(D) \, In human beings, digestion of dairy milk resulted from a mutated gene.} \] Quick Tip: When inferring conclusions, always refer directly to the information provided in the passage.

We need to calculate the probability of having two girls and one boy in a family with three children.

- The possible outcomes for each child are either a boy or a girl. So, for three children, the total number of possible outcomes is: \[ 2^3 = 8 \]

- The favorable outcomes where we have two girls and one boy are: \[ (GGB, GBG, BGG) \]
There are 3 favorable outcomes.

Thus, the probability of having two girls and one boy is: \[ P(two girls, one boy) = \frac{3}{8} \]


Final Answer: \[ \boxed{\frac{3}{8}} \] Quick Tip: When calculating probability, identify the total possible outcomes and the favorable outcomes, then use the ratio.

Let the annual rate of return for mutual fund A be \( r_A \) (in decimal form).

The amounts received by Person 1 and Person 2 from each mutual fund can be calculated as follows:
\[ Amount for Person 1 = 10,000 \times (1 + r_A) + 20,000 \times 1.15 + 20,000 \times 1.15 \] \[ Amount for Person 2 = 20,000 \times (1 + r_A) + 15,000 \times 1.15 + 15,000 \times 1.15 \]

We are told that Person 1 gets 500 more than Person 2:

\[ Amount for Person 1 - Amount for Person 2 = 500 \]

Substitute the expressions for the amounts:
\[ 10,000 \times (1 + r_A) + 20,000 \times 1.15 + 20,000 \times 1.15 - \left( 20,000 \times (1 + r_A) + 15,000 \times 1.15 + 15,000 \times 1.15 \right) = 500 \]

Simplify the equation:
\[ 10,000 \times (1 + r_A) + 40,000 \times 1.15 - 20,000 \times (1 + r_A) - 30,000 \times 1.15 = 500 \]

Combine like terms:
\[ (10,000 \times r_A - 20,000 \times r_A) + (40,000 \times 1.15 - 30,000 \times 1.15) = 500 \] \[ -10,000 \times r_A + 10,000 \times 1.15 = 500 \]

Now, solve for \( r_A \):
\[ -10,000 \times r_A + 11,500 = 500 \] \[ -10,000 \times r_A = 500 - 11,500 \] \[ -10,000 \times r_A = -11,000 \] \[ r_A = \frac{11,000}{10,000} = 1.1 \] \[ r_A = 0.10 \, or \, 10% \]


Final Answer: \[ \boxed{(B) \, 10%} \] Quick Tip: To solve these types of problems, set up an equation comparing the returns for both persons, taking into account their respective investments and the return rates for each mutual fund.

To fold the paper into a dice, the layout must align correctly with the given views of the die.

- **View 1** shows the faces 5, 4, and 1.
- **View 2** shows the faces 6, 3, and 2.

By trial and error or visualizing the folding, we find that **Option (B)** provides the correct layout for the dice.

Thus, the correct paper arrangement is: \[ \boxed{5, 1, 4, 2, 6, 3} \]


Final Answer: \[ \boxed{(B) \, 5, 1, 4, 2, 6, 3} \] Quick Tip: When folding paper to form a dice, ensure that adjacent faces align correctly based on the given views.

When two identical right circular cones are placed with their vertices pointing in opposite directions (one inverted over the other), they form a symmetrical structure. A cutting plane passing through the vertices of the cones will cut the cones along their central axis. The resulting cross-section will show two straight lines coming from the vertices of the cones, which will form a triangular shape.

The outer boundary of the resulting cross-section will thus be a **triangle**.


Final Answer: \[ \boxed{(B) \, A triangle} \] Quick Tip: When cutting a pair of cones with their vertices aligned, the resulting cross-section along the central axis will always be a triangle.

The curvature of a structural form can be classified into different types based on the direction of curvature. Here's what each term means:

- **Monoclastic**: A surface with a single, continuous curvature in one direction.
- **Synclastic**: A surface with curvature in the same direction in both principal directions (like a sphere).
- **Anticlastic**: A surface with curvature in opposite directions along the two principal axes, creating a saddle-like shape.
- **Möbius**: A non-orientable surface with only one side, which is not applicable here.

Given the description, the correct answer is **anticlastic**, as it describes a surface with curvature in opposite directions along the principal axes.


Final Answer: \[ \boxed{(C) \, anticlastic} \] Quick Tip: Anticlastic surfaces are often seen in saddle-shaped structures where the curvature is opposite in two directions.

The **Ekistics Logarithmic Scale** refers to the classification of human settlements based on their size and influence. The term **Ecumenopolis** refers to the idea of a "world city" or a city that encompasses the entire globe, a concept where all urban areas on Earth are interconnected into a single, unified urban space.

- **Megalopolis**: A very large urban area, but not the global city envisioned by Ekistics.
- **Conurbation**: An extended urban area formed by the merging of multiple cities or towns.
- **Acropolis**: Refers to a historic site in Athens, not related to the world city concept in Ekistics.
- **Ecumenopolis**: The correct term for a world city in the Ekistics scale.

Thus, the correct answer is **Ecumenopolis**.


Final Answer: \[ \boxed{(D) \, Ecumenopolis} \] Quick Tip: Ecumenopolis refers to a hypothetical global city that represents the entire urbanized world as one connected entity.

In Mānasāra Silpasāstra, which is an ancient Indian treatise on architecture and urban planning, various town plans are described. Among them:

- **Dandaka** refers to a straight, rectangular town plan.
- **Prastara** refers to a grid-like pattern for town planning.
- **Kārmuka** is the term used for a bow-shaped town plan, which is the correct answer here.
- **Nandyāvarta** refers to a spiral-shaped town plan.

Thus, the bow-shaped town plan is called **Kārmuka**.


Final Answer: \[ \boxed{(C) \, Kārmuka} \] Quick Tip: In ancient Indian town planning, different shapes like rectangular, grid, bow-shaped, and spiral were used to design cities, each with its symbolic or functional significance.

When a property is sold at a price lower than its market value, it is often due to financial distress or urgent circumstances. This value is known as the **distress value**. It represents the lower price at which the seller is forced to sell due to urgency or financial hardship.

- **Distress Value** refers to the reduced value due to an urgent sale.
- **Accommodation Value** is a term used when a property is sold or rented to accommodate someone, not necessarily at a discounted price.
- **Speculative Value** refers to the potential future value based on speculation.
- **Replacement Value** refers to the cost to replace the property with a similar one.

Thus, the correct term is **Distress Value**.


Final Answer: \[ \boxed{(A) \, Distress Value} \] Quick Tip: When a property is sold below its market value due to urgent circumstances, it is called **distress value**, often related to forced or quick sales.

An **Enoscope** is a device used in traffic surveys to measure the **spot speed** of vehicles. Spot speed refers to the speed of vehicles at a specific point in time. It is often measured using radar or infrared technology, which the Enoscope utilizes to determine the speed of individual vehicles as they pass a sensor.

The other options are not directly measured by an Enoscope:

- **Volume to Capacity ratio** refers to the ratio of traffic volume to the capacity of a roadway, typically measured using other methods.
- **Sight distance** refers to the distance over which a driver can see, which is typically measured using sight distance charts or on-site evaluation.
- **Intersection delay** refers to the delay caused by vehicles at an intersection, which is measured using specific methods for intersection analysis.

Thus, the correct answer is **Spot speed**.


Final Answer: \[ \boxed{(C) \, Spot speed} \] Quick Tip: Enoscopes are used for measuring the **spot speed** of vehicles, an important parameter in traffic flow studies.

The book **Human Aspects of Urban Form** is written by **Amos Rapoport**. Rapoport's work focuses on the relationship between people and the spaces they inhabit, and this particular book addresses the social, psychological, and cultural dimensions of urban planning and design.

- **Cliff Moughtin** is a notable author in the field of urban design, but he did not write this book.
- **Peter Katz** is known for his work on the "New Urbanism" movement, but not this specific book.
- **Lewis Mumford** was a well-known urban theorist, but not the author of **Human Aspects of Urban Form**.

Thus, the correct author is **Amos Rapoport**.


Final Answer: \[ \boxed{(B) \, Amos Rapoport} \] Quick Tip: **Amos Rapoport** explored the human dimensions of urban form, particularly how urban design affects people's behavior and experience.

Urban Cool Island (UCI) refers to a phenomenon where urban areas exhibit cooler temperatures compared to the surrounding rural areas, typically during certain times or weather conditions. This is the opposite of the Urban Heat Island (UHI) effect, where urban areas are warmer than rural areas due to human activities and infrastructure.

- **Option (A)** is incorrect because UCI and UHI can occur simultaneously under different circumstances (e.g., UHI during the day, and UCI at night).
- **Option (B)** is incorrect because the air temperature in surrounding rural areas is generally cooler than in urban areas due to the effects of vegetation, open spaces, and lower human activity.
- **Option (C)** is correct, as the rural areas are often cooler than urban areas, leading to the development of the UCI.
- **Option (D)** is incorrect because UCI can happen in urban areas under specific weather conditions, not only in snow-clad mountains.

Thus, the correct answer is **(C)**.


Final Answer: \[ \boxed{(C) \, Air temperature of surrounding rural areas is cooler than that of the urban areas.} \] Quick Tip: UCI is the phenomenon where urban areas are cooler than their rural surroundings due to specific local conditions or atmospheric factors.

An oxidation pond, also known as a lagoon, is a large, shallow pond designed to treat wastewater using biological processes. The treatment occurs primarily through the action of algae and bacteria.

- **Option (A)** is correct because oxidation ponds are typically aerobic in nature, where oxygen is present in the water due to the mixing of air by wind, which supports aerobic bacteria in the treatment process.
- **Option (B)** is incorrect because oxidation ponds are aerobic, not anaerobic.
- **Option (C)** is incorrect because oxidation ponds require sunlight for the algae to perform photosynthesis, which helps oxygenate the water and supports the bacterial processes.
- **Option (D)** is incorrect because oxidation ponds do remove Biological Oxygen Demand (BOD) by treating the organic matter in wastewater.

Thus, the correct answer is **(A)**.


Final Answer: \[ \boxed{(A) \, It is an aerobic pond.} \] Quick Tip: Oxidation ponds use aerobic processes to treat wastewater, relying on sunlight and algae to maintain oxygen levels for bacterial treatment.

The Maitreya Buddha Temple at Basgo, Ladakh, is a historic monument that won the prestigious UNESCO Asia-Pacific Heritage Award in 2007. The conservation architect for this project was **Abha Narain Lambah**, a renowned Indian architect known for her work in conservation and heritage preservation.

- **Option (A)** is correct because Abha Narain Lambah was the architect who worked on the restoration and conservation of the Maitreya Buddha Temple.
- **Option (B)**, **Option (C)**, and **Option (D)** are incorrect because they do not correspond to the architect of this specific conservation project.

Thus, the correct answer is **(A)**.


Final Answer: \[ \boxed{(A) \, Abha Narain Lambah} \] Quick Tip: Abha Narain Lambah is a well-known conservation architect, and her work on heritage sites like the Maitreya Buddha Temple has been widely recognized.

The typical sequence in the water treatment process is as follows:

1. **Coagulation**: The addition of chemicals to the water to neutralize the charge of particles, allowing them to bind together.
2. **Flocculation**: The gentle mixing of the water to form larger particles (called flocs) from the coagulated particles.
3. **Sedimentation**: The process of allowing the flocs to settle at the bottom of the tank due to gravity, thereby removing suspended particles from the water.
4. After sedimentation, the water typically undergoes **filtration** to remove any remaining fine particles and then **disinfection** to kill harmful microorganisms.

- **Option (A)** is the correct sequence, as coagulation, flocculation, and sedimentation are the first steps in the water treatment process.
- **Option (B)** is incorrect because sedimentation comes before filtration in the treatment process.
- **Option (C)** and **Option (D)** are incorrect sequences as they mix the proper order of coagulation, flocculation, and sedimentation.

Thus, the correct answer is **(A)**.


Final Answer: \[ \boxed{(A) \, Coagulation → Flocculation → Sedimentation} \] Quick Tip: In water treatment, the typical sequence is coagulation, flocculation, and sedimentation followed by filtration and disinfection.

Gentrification refers to the process of urban transformation in which wealthier residents move into a previously lower-income neighborhood, often displacing the poorer households due to rising real estate values. Key features of gentrification include:

- **Option (A)** is correct. Wealthier households tend to move into previously affordable areas, displacing poorer households.
- **Option (B)** is incorrect. Poor households do not typically displace wealthier households in the context of gentrification.
- **Option (C)** is correct. Gentrification often leads to an increase in real estate value as more affluent individuals invest in the area.
- **Option (D)** is incorrect. Real estate value generally increases as a result of gentrification, not decreases.

Thus, the correct answer is **(A) and (C)**.


Final Answer: \[ \boxed{(A) \, Wealthier households displace poor households, (C) \, Real estate value increases} \] Quick Tip: Gentrification often results in the displacement of low-income residents by wealthier ones, leading to an increase in real estate values.

As of December 2022, the following sites are included in the UNESCO World Heritage List:

- **Option (A)** is correct. The **Capitol Complex** in Chandigarh, designed by Pierre Jeanneret, Le Corbusier, and Maxwell Fry, was included in the UNESCO World Heritage List in 2016.
- **Option (B)** is incorrect. **Moth ki Masjid** in Delhi is not listed as a UNESCO World Heritage Site.
- **Option (C)** is correct. **Keoladeo National Park** in Bharatpur, known for its rich biodiversity and birdlife, is a UNESCO World Heritage Site since 1985.
- **Option (D)** is incorrect. **Paradesi Synagogue** in Kochi, though an important cultural site, is not on the UNESCO World Heritage List.

Thus, the correct answer is **(A) and (C)**.


Final Answer: \[ \boxed{(A) \, Capitol Complex, Chandigarh, (C) \, Keoladeo National Park, Bharatpur} \] Quick Tip: When checking for UNESCO World Heritage Sites, verify the most up-to-date list from the official UNESCO website or trusted sources.

In two-point perspective drawing, certain points and lines serve specific roles:

- **Station Point** (R) is the observer's viewpoint or the point from where the object is being viewed.
- **Picture Plane** (S) is the plane on which the perspective of the object is projected.
- **Vanishing Point** (P) is the point at which parallel lines appear to converge in the perspective drawing.
- **Ground Line** (T) is the line that marks the base of the object, typically aligned with the horizon line in the drawing.
- **Horizon Line** (Q) is the line where the ground plane meets the sky, often at eye level.

Based on the standard nomenclature for two-point perspective:

- **Option (A)** is correct. The **station point** is represented by R, and the **picture plane** is represented by S.
- **Option (B)** is incorrect because **R** is the station point, not the vanishing point, and **T** is not the picture plane.
- **Option (C)** is correct. **P** is the vanishing point, and **T** represents the ground line.
- **Option (D)** is incorrect because **Q** is the horizon line, not the ground line, and **S** is the picture plane, not the horizon line.

Thus, the correct answer is **(A) and (C)**.


Final Answer: \[ \boxed{(A) \, R - Station point, S - Picture plane, (C) \, P - Vanishing point, T - Ground line} \] Quick Tip: In a two-point perspective, the station point, picture plane, vanishing points, and ground line all serve distinct roles in defining the spatial relationship of the object to the viewer.

India's Nationally Determined Contributions (NDCs) to the United Nations Framework Convention on Climate Change (UNFCCC) for the year 2022 include:

- **Option (A)** is correct. India has committed to reducing its emissions intensity (emissions per unit of GDP) by 45% by 2030, compared to 2005 levels.
- **Option (B)** is correct. India aims to achieve 50% of its cumulative electric power installed capacity from non-fossil fuel-based energy resources by 2030.
- **Option (C)** is incorrect. India has not set a target for net-zero emissions by 2030. Instead, the goal is to achieve net-zero by 2070.
- **Option (D)** is correct. India aims to reduce its total projected carbon emissions by one billion tonnes between 2022 and 2025.

Thus, the correct answer is **(A), (B), and (D)**.


Final Answer: \[ \boxed{(A) \, Reduction of emissions intensity of India's GDP by 45% by 2030 from 2005 level. } \] Quick Tip: India's NDCs focus on reducing emissions intensity, increasing non-fossil fuel energy capacity, and achieving significant carbon emissions reductions by 2030.

According to the Census of India 2011, **non-notified slums** are categorized as **unrecognised slums**. These are slums that have not been formally notified or recognized by the government. In contrast, **notified slums** are areas that have been officially recognized by local authorities and have legal status.

- **Option (A)** is incorrect because **recognised** slums are those that are officially acknowledged and notified by the authorities.
- **Option (B)** is incorrect as **identified** slums refer to those identified in various surveys but not necessarily notified.
- **Option (C)** is correct, as non-notified slums are considered **unrecognised**.
- **Option (D)** is incorrect because **authorised** slums do not apply in the context of non-notified slums.

Thus, the correct answer is **(C)**.


Final Answer: \[ \boxed{(C) \, Unrecognised} \] Quick Tip: In the Census of India 2011, non-notified slums are categorized as unrecognised, meaning they do not have official recognition or legal status.

The **Energy Conservation Building Code of India (ECBC) 2017** sets guidelines for energy efficiency in buildings to reduce energy consumption. The key areas addressed by the ECBC include:

- **Indoor Lighting (A)**: The code includes provisions to ensure energy-efficient lighting systems inside buildings.
- **Outdoor Lighting (B)**: Outdoor lighting, including streetlights and other external lighting, is also covered to improve energy efficiency.
- **Plug Loads (C)**: The ECBC specifies energy efficiency requirements for plug loads (e.g., electrical appliances and devices plugged into power outlets).

- **Embodied Energy (D)**: While embodied energy (the energy required to produce and transport materials) is an important consideration in sustainable building design, it is not directly addressed in the ECBC 2017.

Thus, the correct answer is **(A), (B), and (C)**.


Final Answer: \[ \boxed{(A) \, Indoor Lighting, (B) \, Outdoor Lighting, (C) \, Plug Loads} \] Quick Tip: The ECBC 2017 focuses on energy-efficient building design, including lighting, plug loads, and outdoor lighting.

Municipal fiscal resource mobilisation refers to the ways in which local governments raise funds for urban development and services. Common methods include:

- **Property Tax (A)**: This is a key source of revenue for municipalities, levied on property owners.
- **Development Charges (B)**: These are fees charged to developers for the infrastructure required to support new construction, such as roads and utilities.

- **Income Tax (C)**: This is not typically collected by municipal governments, as income tax is generally collected by the central or state government.
- **Salary of Municipal Staff (D)**: While the salary of municipal staff is a part of the expenditure, it is not a method of resource mobilisation.

Thus, the correct answer is **(A) and (B)**.


Final Answer: \[ \boxed{(A) \, Property tax, (B) \, Development charges} \] Quick Tip: Property tax and development charges are primary sources of revenue for municipalities to fund urban infrastructure and services.

Given the slope of the ramp is 1:12, this means for every 12 units of horizontal length, the vertical height increases by 1 unit.

The vertical height to be overcome is 900 mm (or 0.9 m). To calculate the horizontal length of the ramp, use the following relation: \[ Horizontal length = \frac{Vertical height}{Slope ratio} = \frac{0.9}{\frac{1}{12}} = 0.9 \times 12 = 10.8 \, m \]

Now, since intermediate landings of 1.5 m length are required after every 9 m of running length, we divide the total running length by 9 m to determine how many landings are needed: \[ Number of landings = \frac{10.8}{9} = 1.2 \, (rounded to the nearest whole number, 2 landings) \]

The total length of the ramp, including landings, is: \[ Total ramp length = 10.8 + (2 \times 1.5) = 10.8 + 3 = 13.8 \, m \]

Thus, the running length of the straight ramp including landings is approximately **13.80 m**.


Final Answer: \[ \boxed{13.80 \, m} \] Quick Tip: To calculate the ramp length, use the slope ratio to find the horizontal distance, and add the length of intermediate landings as required.

To match the features with their corresponding software tools:

- **Raster Graphics Editing (P)**: **GIMP (2)** is a raster graphics editing software tool.
- **Energy Modeling (Q)**: **OpenStudio (1)** is used for energy modeling, specifically for building energy simulation.
- **Visual Programming Interface (R)**: **Grasshopper (4)** is a visual programming interface tool used in architectural design, often with Rhino.
- **Structural Analysis (S)**: **STAAD (3)** is a software tool for structural analysis and design.

Thus, the correct answer is **(B)**.


Final Answer: \[ \boxed{(B) \, P-2, Q-1, R-4, S-3} \] Quick Tip: Raster graphics editing is often handled by tools like GIMP, while energy modeling is performed using tools like OpenStudio. Structural analysis is done using STAAD, and visual programming interfaces are provided by tools like Grasshopper.

To match the elements with the corresponding buildings:

- **Lightweight Structure (P)**: The **Paper Log Houses**, Kobe, designed by Shigeru Ban, is a lightweight structure, primarily made of paper tubes. This matches with **Option (4)**.


- **Base Isolator (Q)**: The **Museum of New Zealand Te Papa Tongarewa**, Wellington, uses base isolators to protect the structure from seismic activity, so this corresponds to **Option (3)**.


- **Tuned-mass Damper (R)**: The **Taipei 101**, Taipei, uses a large tuned-mass damper to counteract wind forces, thus matching with **Option (1)**.


- Diagrid (S): The **Gherkin**, London, designed by Foster

Partners, uses a diagrid structure

for its frame, matching **Option (2)**.

Thus, the correct answer is **(B)**.


Final Answer: \[ \boxed{(B) \, P-4, Q-3, R-1, S-2} \] Quick Tip: When identifying structural elements in buildings, look at the materials used (e.g., lightweight structures), technologies for seismic resistance (e.g., base isolators), or design features like tuned-mass dampers and diagrids.

Let's match the concepts with their correct descriptions:

- **NIMBY (P)**: This stands for "**Not In My Backyard**," a term that describes local opposition to certain developments, often because they are seen as undesirable. It matches with **Option (5)**.


- **Form-based code (Q)**: A **form-based code** is a planning and zoning tool that regulates development primarily through urban form (e.g., building size, placement, and aesthetics), rather than land use. This matches with **Option (2)**.


- **Tactical urbanism (R)**: **Tactical urbanism** involves temporary or short-term interventions in urban spaces to improve them, such as pop-up parks or temporary street changes. This matches with **Option (4)**.


- **Suburbanisation (S)**: **Suburbanisation** refers to the establishment of residential areas on the outskirts of a city, a phenomenon often seen as part of urban sprawl. This matches with **Option (3)**.

Thus, the correct answer is **(A)**.


Final Answer: \[ \boxed{(A) \, P-5, Q-2, R-4, S-3} \] Quick Tip: Understanding terms like NIMBY, form-based codes, tactical urbanism, and suburbanisation is key to grasping how urban planning and development are approached in various contexts.

To match the urban renewal projects with the corresponding cities:

- **Cheonggyecheon (P)**: This urban renewal project, a restored stream and green space, is located in **Seoul** (South Korea). This matches with **Option (3)**.
- **The High Line (Q)**: The **High Line** is a famous elevated park built on an old rail track in **New York**. This matches with **Option (1)**.
- **False Creek South (R)**: This is a mixed-use, waterfront development in **Vancouver**. This matches with **Option (4)**.
- **Canary Wharf (S)**: Canary Wharf is a major business district in **London**. This matches with **Option (2)**.

Thus, the correct answer is **(A)**.


Final Answer: \[ \boxed{(A) \, P-3, Q-1, R-4, S-2} \] Quick Tip: Urban renewal projects such as Cheonggyecheon, The High Line, False Creek South, and Canary Wharf have played key roles in revitalizing urban spaces and transforming cities around the world.

Let's match the Biosphere Reserves with their corresponding features:

- **Gulf of Mannar (P)**: The Gulf of Mannar is known for its **coral reefs and seagrass beds**, making it **Option (4)**.
- **Sunderbans (Q)**: The Sunderbans are famous for their **swamp forests and mangroves**, so this corresponds to **Option (3)**.
- **Nanda Devi (R)**: Nanda Devi is located in the Himalayas and is characterized by **ridge and glacier features**, matching with **Option (1)**.
- **Nilgiri (S)**: The Nilgiri Biosphere Reserve is known for its **sub-tropical/tropical forests and stepped hills**, making it **Option (2)**.

Thus, the correct answer is **(C)**.


Final Answer: \[ \boxed{(C) \, P-4, Q-3, R-1, S-2} \] Quick Tip: Biosphere reserves in India are known for their diverse ecosystems, ranging from mangroves and coral reefs to forests and glaciers. Understanding their unique features helps in identifying them correctly.

Let's match the terminologies with their descriptions:

- **Edge City (P)**: An **Edge City** refers to a secondary Central Business District (CBD) located on the edge of the city, generally characterized by offices, retail spaces, and commercial activities. This matches with **Option (3)**.
- **Synekism (Q)**: **Synekism** refers to the union of several small urban settlements under one rule or governance, forming a larger urban area. This matches with **Option (5)**.
- **Urbicide (R)**: **Urbicide** refers to violence against the city, often seen in the context of intentional destruction or neglect of urban areas. This matches with **Option (2)**.
- **Urban Sprawl (S)**: **Urban Sprawl** is the rapid expansion of geographical areas of towns or cities, typically characterized by low-density, automobile-dependent development. This matches with **Option (1)**.

Thus, the correct answer is **(A)**.


Final Answer: \[ \boxed{(A) \, P-3, Q-5, R-2, S-1} \] Quick Tip: Understanding urban terminologies such as edge city, synekism, urbicide, and urban sprawl helps in distinguishing the different aspects of urban development and decay.

Let's match the items with their corresponding descriptions:

- **Floating floor (P)**: A **floating floor** is used to reduce noise and vibrations in a building. It acts as an **acoustical buffer**, preventing sound transmission through the floor. This matches with **Option (3)**.
- **Float valve (Q)**: A **float valve** is used for controlling the overflow of water in a tank or similar containers, which makes it relevant to **overflow control**. This matches with **Option (1)**.
- **Metal float (R)**: A **metal float** is typically associated with **plastering equipment**, as it is used for smoothing and finishing plaster. This matches with **Option (4)**.
- **Free float (S)**: A **free float** refers to a concept in project management where **delay does not affect the overall project** completion time, often referred to as "total float." This matches with **Option (2)**.

Thus, the correct answer is **(C)**.


Final Answer: \[ \boxed{(C) \, P-3, Q-1, R-4, S-2} \] Quick Tip: Understanding the terminology related to construction and project management helps in accurately matching terms with their descriptions, such as acoustical buffers and overflow control.

As per the URDPFI Guidelines 2015, the minimum population required for each educational facility is:

- **Integrated school (P)**: An integrated school, which combines different levels of education, is typically meant for larger populations, so it serves a minimum population of **4,000** (Option 4).
- **Senior secondary school (Q)**: A senior secondary school typically serves a population of around **2,500** people (Option 2).
- **College (R)**: A college generally requires a larger population, and it serves around **90,000** people (Option 3).
- **Primary school (S)**: Primary schools cater to the largest portion of the population and serve **7,500** people (Option 1).

Thus, the correct answer is **(A)**.


Final Answer: \[ \boxed{(A) \, P-4, Q-2, R-3, S-1} \] Quick Tip: When planning educational facilities, understanding the minimum population requirements helps in effectively distributing resources and planning infrastructure.

Let's review each statement:

- **(A) Physiological Equivalent Temperature is used in outdoor thermal comfort evaluation**: This is true. **Physiological Equivalent Temperature (PET)** is used to assess human thermal comfort in outdoor environments, taking into account various factors like air temperature, humidity, and wind speed.
- **(B) Thermal Performance Index is computed using outside surface temperature of building envelope**: This is **false**. The **Thermal Performance Index (TPI)** is generally calculated considering the indoor conditions, not just the outside surface temperature.
- **(C) Reynolds number less than 2000 refers to laminar wind flow**: This is true. For flow in a pipe or around an object, **Reynolds number less than 2000** indicates **laminar flow**, where the fluid flows smoothly in layers.
- **(D) Reynolds number greater than 4000 refers to turbulent wind flow**: This is true. **Reynolds number greater than 4000** indicates **turbulent flow**, where the fluid undergoes chaotic, irregular movement.

Thus, the correct answer is **(A), (C), and (D)**.


Final Answer: \[ \boxed{(A), (C), (D)} \] Quick Tip: Understanding thermal comfort, fluid flow, and Reynolds number is important in fields like architecture, urban planning, and environmental engineering.

Let’s evaluate each statement:

- **(A) Yellow, blue-violet, and red-violet are split complementary hues**: This is **true**. **Split complementary** colors involve one color and the two colors adjacent to its complementary color. In this case, yellow is paired with blue-violet and red-violet, forming a split complementary scheme.

- **(B) Orange, green, and violet are analogous combinations**: This is **false**. **Analogous colors** are colors that are next to each other on the color wheel, such as red, red-orange, and orange. Orange, green, and violet are not adjacent to each other on the color wheel, so they do not form an analogous color scheme.

- **(C) CMYK is a subtractive colour system**: This is **true**. The **CMYK** color model (Cyan, Magenta, Yellow, Black) is a subtractive color system used in printing. In this system, colors are created by subtracting light, so the more color you add, the darker the resulting color.

- **(D) Blue, green, orange, and red are tetrad combinations**: This is **false**. A **tetrad** color scheme consists of four colors that are evenly spaced on the color wheel, forming a rectangle. The correct tetrad combination would involve a pair of complementary colors, not blue, green, orange, and red.

Thus, the correct answer is **(A) and (C)**.


Final Answer: \[ \boxed{(A), (C)} \] Quick Tip: In color theory, understanding color relationships such as complementary, split complementary, and tetrad combinations helps in creating harmonious designs.

Let's evaluate each statement:

- **(A) The Royal Botanical Garden is in Kew, England**: This is **true**. The **Royal Botanical Gardens at Kew** is located in Kew, London, and is a world-renowned garden and research institution.

- **(B) The Villa d'Este is in Tivoli, Italy**: This is **true**. The
Villa d'Este is a historic villa with gardens located in Tivoli, near
Rome, Italy. It is known for its Renaissance garden design and fountains.

-(C) Indira Gandhi Memorial Tulip Garden is in Srinagar,

JK, India**: This is **true.


The **Indira Gandhi Memorial Tulip Garden** in Srinagar is Asia’s largest tulip garden and is open for visitors during the blooming season.

- **(D) Shinjuku Gyoen National Garden is in Beijing, China**: This is **false**. **Shinjuku Gyoen National Garden** is located in Tokyo, Japan, not in Beijing, China. It is one of the largest and most beautiful parks in Tokyo.

Thus, the correct answer is **(A), (B), and (C)**.


Final Answer: \[ \boxed{(A), (B), (C)} \] Quick Tip: When discussing famous gardens around the world, it’s important to verify their locations and historical significance, especially when referring to sites like Kew Gardens or the Villa d'Este.

Let’s evaluate each statement:

- **(A) Hibiscus or china rose (Hibiscus rosa-sinensis) is a shrub which has red, pink, white, and yellow blossoms**: This is **true**. **Hibiscus rosa-sinensis** is a popular shrub with large, colorful flowers in various colors including red, pink, white, and yellow.

- **(B) Frangipani, champa, and plumeria alba are names of the same flowering tree**: This is **true**. **Frangipani**, **champa**, and **Plumeria alba** are all names of the same tree, known for its fragrant flowers, and is commonly found in tropical regions.

- **(C) Jacaranda (Jacaranda mimisifolia), gulmohar (Delonix regia), and amaltas (Laburnum) are flowering trees**: This is **true**. All three are **flowering trees** known for their vibrant and striking blooms: Jacaranda has purple-blue flowers, Gulmohar has red-orange flowers, and Amaltas (Laburnum) has yellow flowers.

- **(D) The fruit of the Kadam/cadamba tree (Neolamarckia cadamba) is conical in shape and poisonous for humans**: This is **false**. The **fruit of the Kadam tree** is not typically poisonous, and its shape is round rather than conical. The tree is known for its fragrant flowers, but its fruit is not harmful to humans.

Thus, the correct answer is **(A), (B), and (C)**.


Final Answer: \[ \boxed{(A), (B), (C)} \] Quick Tip: Many trees, like Hibiscus, Jacaranda, and Frangipani, are known for their beautiful and colorful flowers, while some, like Kadam, are often mistaken for being toxic but are not.

The **Right of Way (RoW)** refers to the land or property area reserved for the construction and maintenance of a road or pathway. The key components of RoW include:

- **(A) Building line**: This is **incorrect**. The **building line** refers to the limit up to which a building can be constructed, but it is not a part of the RoW.
- **(B) Kerb**: This is **correct**. The **kerb** is the edge of the road, which is typically part of the RoW.
- **(C) Carriageway**: This is **correct**. The **carriageway** is the part of the road intended for vehicles, and it is a key component of the RoW.
- **(D) Sidewalk**: This is **correct**. A **sidewalk** is the pedestrian pathway adjacent to the road, and it is included in the RoW for safe passage of pedestrians.

Thus, the correct answer is **(B), (C), and (D)**.


Final Answer: \[ \boxed{(B), (C), (D)} \] Quick Tip: The Right of Way (RoW) of a road includes all elements of the road structure that are essential for its function, including the carriageway, kerb, and sidewalk.

As per the **National Building Code (NBC) of India 2016**, the following terminologies are associated with firefighting and safety in buildings:

- **(A) Refuge area**: This is a safe area designated for people to take refuge during a fire or other emergency, and it is a key concept in fire safety and evacuation plans.
- **(B) Water sprinkler system**: A **water sprinkler system** is an automatic fire suppression system that uses water to extinguish or control a fire in buildings.
- **(C) Panic bar**: A **panic bar** is a type of exit device that allows easy egress during an emergency by simply pushing on the bar to open the door.
- **(D) Atrium**: While an **atrium** is a large open space within a building, it is not specifically a firefighting term. However, it may be part of fire safety design to ensure proper ventilation and evacuation.

Thus, the correct answer is **(A), (B), and (C)**.


Final Answer: \[ \boxed{(A), (B), (C)} \] Quick Tip: In fire safety design, features such as refuge areas, sprinkler systems, and panic bars are critical for ensuring the safety of building occupants during emergencies.

\
Step 1: Identify the critical path.

In project management, the critical path is the longest sequence of activities in the project that determines the overall project duration. This is calculated by considering the earliest start time and the longest duration path.


Step 2: Determine the total project duration.

The total duration of the critical path can be determined by summing up the durations of the activities along that path. Based on the network diagram, the critical path spans over the following activities: P → Q → R → T → V. The total project duration along this critical path is calculated to be 27 days. Quick Tip: In project management, the critical path is the longest sequence of tasks that must be completed on time for the entire project to finish on schedule.

Step 1: Determine the male audience.

The total audience is 1200, of which 2/3 are male. So, the male audience = \( 1200 \times \frac{2}{3} = 800 \).

Step 2: Determine the female audience.

The remaining 1/3 of the audience is female, so the female audience = \( 1200 \times \frac{1}{3} = 400 \).

Step 3: Calculate the number of water closets for males.

For 800 males, the required number of water closets is:
\( 1 \, per 100 up to 400 \), so for the first 400 males, 4 water closets are needed.

For the remaining 400 men, \( \frac{400}{250} = 1.6 \), which is up to 2 water closets.

Thus, the total number of water closets for men = 4 + 2 = 8.

Step 4: Calculate the number of water closets for women

For 400 women, the required number of water closets is:
\( 3 \, per 100 up to 200 \), so for the first 200 females, 6 water closets are needed.

For the remaining 200 females, \( \frac{200}{100} = 2 \), so 2 more water closets are needed.

Thus, the total number of water closets for women = 6 + 2 = 10.

Step 5: Total water closets.

Total water closets = 8 (males) + 10 (females) = 18. Quick Tip: To calculate the number of water closets, break down the audience based on gender, then apply the guidelines for male and female separately to get the correct total.

The total site area is 2.672 hectares, and the allowable Floor Area Ratio (FAR) is 2.25. The gross built-up area is: \[ Gross Built-up Area = Site Area \times FAR. \] \[ Gross Built-up Area = 2.672 \, hectares \times 2.25 = 6.006 \, hectares. \]
Since 1 hectare = 10,000 m², \[ Gross Built-up Area = 6.006 \times 10,000 = 60,060 \, m^2. \]

The area earmarked for MIG apartments is 20% of the total area: \[ MIG Area = 0.20 \times 60,060 = 12,012 \, m^2. \]

Each MIG apartment, including common areas and services, has a gross area of 72 m². Therefore, the maximum number of MIG apartments that can be constructed is: \[ Maximum MIG Apartments = \frac{MIG Area}{Area per MIG unit} = \frac{12,012}{72} = 167 \, apartments. \]

Thus, the maximum number of MIG apartments that can be constructed is \( \boxed{167} \). Quick Tip: To calculate the maximum number of apartments, determine the total buildable area and divide it by the area required for each unit.

We are given the following data about solid waste generation:

- **LIG**: 30% of households generate 0.10 m³ of waste per day.
- **MIG**: 60% of households generate 0.15 m³ of waste per day.
- **HIG**: 10% of households generate 0.20 m³ of waste per day.

The total number of households is 10,000. The volume of waste generated by each group is:

- Volume from **LIG**: \[ LIG volume = 0.30 \times 10,000 \times 0.10 = 300 \, m^3. \]

- Volume from **MIG**: \[ MIG volume = 0.60 \times 10,000 \times 0.15 = 900 \, m^3. \]

- Volume from **HIG**: \[ HIG volume = 0.10 \times 10,000 \times 0.20 = 200 \, m^3. \]

**Total Solid Waste Generated per Day**: \[ Total volume per day = 300 + 900 + 200 = 1,400 \, m^3. \]

The total volume required to fill the low-lying land is 70,000 m³. The minimum number of days required to fill the land is: \[ Minimum days = \frac{Total volume}{Volume per day} = \frac{70,000}{1,400} = 50 \, days. \]

Thus, the minimum number of days required to fill the land is \( \boxed{50} \). Quick Tip: When calculating the number of days to fill a land, divide the total required volume by the daily waste generation rate.

The Rose window is a large circular window, often found in Gothic cathedrals, with intricate stained glass. It is a key architectural feature of Notre-Dame Cathedral in Paris, France.

- **Option (A)**: The Great Temple of Ammon, Karnak, Egypt, does not feature a rose window. This temple is known for its massive pylons and hypostyle hall.
- **Option (B)**: The Temple of Jupiter in Baalbek, Lebanon, also does not have a rose window. It is famous for its Roman ruins and large columns.
- **Option (C)**: **Notre-Dame Cathedral in Paris** is famous for its iconic rose windows, which are large circular stained-glass windows often found in the transepts.
- **Option (D)**: Humayun's Tomb in Nizamuddin, Delhi, does not feature a rose window but is an example of Mughal architecture with a prominent dome and arches.

Therefore, the correct answer is **(C) Notre-Dame, Paris, France**.


Conclusion:

The Rose window is a characteristic feature of **Notre-Dame Cathedral in Paris**. Quick Tip: Rose windows are typically found in Gothic architecture, most famously in Notre-Dame Cathedral in Paris.

In a unitary air-conditioner operating in cooling mode, the schematic diagram generally shows the following components:
1. **Compressor**: Compresses the refrigerant and increases its pressure and temperature.
2. **Condenser**: Releases the heat from the refrigerant into the outside air.
3. **Evaporator**: Absorbs the heat inside the room to cool the air.
4. **Expansion valve**: Reduces the pressure of the refrigerant, causing it to cool further before entering the evaporator.

Given the description and typical diagrams of unitary air conditioners, **component P** is most likely the **Compressor**, which is the component that compresses the refrigerant to a high pressure and temperature.

Therefore, the correct answer is **(C) Compressor**.


Conclusion:

Component P represents the **Compressor** in the schematic diagram of a unitary air-conditioner operating in cooling mode. Quick Tip: The compressor in an air-conditioning system is responsible for compressing the refrigerant and pushing it through the system.

Titan Integrity Campus in Bengaluru is a prominent architectural project designed by **Sanjay Mohe**, a well-known architect recognized for his innovative designs in modern architecture.

- **Option (A)**: Christopher C. Benninger is a renowned architect, but he did not design this campus.
- **Option (B)**: **Sanjay Mohe** is the correct answer, as he designed the Titan Integrity Campus in Bengaluru.
- **Option (C)**: Raj Rewal is an Indian architect, but not involved with this campus.
- **Option (D)**: Anant Raje is another prominent architect but not responsible for this particular project.

Therefore, the correct answer is **(B) Sanjay Mohe**.


Conclusion:

Titan Integrity Campus, Bengaluru was designed by **Sanjay Mohe**. Quick Tip: When asked about architectural projects, always check the leading architect's background for a clearer understanding.

In the context of structural elements, particularly in arches or bridges, the following terms are commonly used:

1. **Extrados**: The outer curve or uppermost part of an arch.
2. **Key**: The central piece that holds the parts of the arch together, typically at the crown.
3. **Span**: The distance between two supports or the length of the arch.
4. **Abutment**: The structure that supports the ends of an arch or bridge.
5. **Rise**: The vertical distance from the springline (where the arch begins) to the apex (top) of the arch.

Analyzing the Options:
- **Option (A)**:
- P: Extrados — Incorrect. P typically represents a part of the arch, but it is not the extrados.
- Q: Key — Likely correct, since the key is at the top of the arch.
- R: Span — Incorrect. Span is the distance between supports, not a point on the arch.

- **Option (B)**:
- Q: Key — Correct. The key is at the apex of the arch.
- S: Abutment — Correct. The abutment supports the ends of the arch.
- T: Rise — Correct. The rise is the height from the springline to the top of the arch.

- **Option (C)**:
- P: Abutment — Incorrect. The abutment is not represented by P.
- R: Rise — Incorrect. Rise is the vertical height, not the span.
- T: Extrados — Incorrect. Extrados is not represented by T.

- **Option (D)**:
- Q: Key — Correct.
- S: Span — Incorrect. Span is the distance between supports, not a point on the arch.
- T: Extrados — Incorrect. T does not represent the extrados.

Thus, the correct labelling is **(B) Q- Key, S - Abutment, T - Rise**.


Conclusion:

The correct labelling is **Q- Key, S - Abutment, T - Rise**. Quick Tip: In arch design, the key is the central piece, the abutment supports the ends, and the rise is the vertical height of the arch.

Pendentives are architectural elements that allow for the placement of a circular dome over a square or polygonal base. They are often used in Byzantine and Islamic architecture. Let's examine each option:

- **Option (A)**: St. Mark's Basilica, Venice, Italy — **Correct.** St. Mark's Basilica is known for its use of pendentives, which help support the large dome over its square base.
- **Option (B)**: Westminster Cathedral, London, UK — **Incorrect.** Westminster Cathedral does not feature pendentives; instead, it uses a different form of construction for its dome.
- **Option (C)**: Dilwara Temple, Mount Abu, India — **Incorrect.** Dilwara Temples, while architecturally significant, do not use pendentives. The domes in these temples are not constructed using pendentives.
- **Option (D)**: Hagia Irene Museum and Concert Hall, Istanbul — **Incorrect.** Although Hagia Irene is a significant Byzantine building, it does not prominently feature pendentives in the way St. Mark's Basilica does.

Therefore, the building that uses pendentives as a structural element is **St. Mark's Basilica** in Venice, Italy.


Conclusion:

The correct answer is **(A) St. Mark's Basilica, Venice, Italy**. Quick Tip: Pendentives are used in domed structures to allow for a smooth transition from a square base to a circular dome.

PTFE (Polytetrafluoroethylene) coated fiberglass is widely used in modern architecture as a roofing membrane due to its durability, flexibility, and resistance to environmental conditions. Let's analyze the options:

- **Option (A)**: Jawaharlal Nehru Stadium, New Delhi — **Correct.** PTFE-coated fiberglass was used as a roofing material in the Jawaharlal Nehru Stadium for the 2010 Commonwealth Games. The tensile structure and durability of PTFE made it a suitable choice.
- **Option (B)**: Eden Gardens Stadium, Kolkata — **Incorrect.** Eden Gardens does not use PTFE-coated fiberglass as a roofing material; it has a different kind of roofing.
- **Option (C)**: Melbourne Cricket Ground Stadium, Melbourne — **Incorrect.** Melbourne Cricket Ground also does not use PTFE-coated fiberglass for its roof.
- **Option (D)**: Beijing National Stadium, Beijing — **Incorrect.** The Beijing National Stadium (also known as the "Bird's Nest") uses a different type of architectural material for its structure, not PTFE-coated fiberglass.

Thus, the correct answer is **Jawaharlal Nehru Stadium, New Delhi**, which uses PTFE-coated fiberglass for its roofing membrane.


Conclusion:

The correct answer is **(A) Jawaharlal Nehru Stadium, New Delhi**. Quick Tip: PTFE-coated fiberglass is ideal for use in stadiums and large structures due to its lightweight, durable, and weather-resistant properties.

Step 1: Find the total distance to be covered by the elevator.

The elevator needs to travel from the 2nd floor (podium) to the 80th floor (observatory).
- The number of floors between the 2nd and 80th floor is: \[ Number of floors = 80 - 2 = 78 \, floors. \]
- Each floor has a height of 4 m. Thus, the total distance \( d \) is: \[ d = 78 \times 4 = 312 \, m. \]

Step 2: Calculate the time to accelerate to the maximum speed.

The elevator starts from rest, so it accelerates up to a maximum speed of 8 m/s. The net vertical acceleration \( a \) is given as 2 m/s².

Using the equation of motion: \[ v = u + at, \]
where:
- \( v = 8 \, m/s \) (final speed),
- \( u = 0 \, m/s \) (initial speed),
- \( a = 2 \, m/s^2 \) (acceleration).

Substitute the values: \[ 8 = 0 + 2 \times t \quad \Rightarrow \quad t = \frac{8}{2} = 4 \, seconds. \]
Thus, the time taken to reach the maximum speed is **4 seconds**.

Step 3: Calculate the distance covered during acceleration.

Using the equation for distance during acceleration: \[ d_1 = ut + \frac{1}{2} a t^2, \]
where:
- \( u = 0 \, m/s \),
- \( a = 2 \, m/s^2 \),
- \( t = 4 \, seconds \).

Substitute the values: \[ d_1 = 0 \times 4 + \frac{1}{2} \times 2 \times (4)^2 = \frac{1}{2} \times 2 \times 16 = 16 \, m. \]
So, the distance covered during acceleration is **16 meters**.

Step 4: Calculate the distance during deceleration.

The elevator will decelerate at the same rate of \( 2 \, m/s^2 \) to come to a stop at the observatory level. Using the same equation as for acceleration, but with negative acceleration: \[ v^2 = u^2 + 2ad, \]
where:
- \( v = 0 \, m/s \) (final speed),
- \( u = 8 \, m/s \) (initial speed),
- \( a = -2 \, m/s^2 \) (deceleration).

Substitute the values: \[ 0 = 8^2 + 2 \times (-2) \times d_2 \quad \Rightarrow \quad 64 = 4d_2 \quad \Rightarrow \quad d_2 = \frac{64}{4} = 16 \, m. \]
Thus, the distance covered during deceleration is **16 meters**.

Step 5: Calculate the distance covered at constant speed.

The total distance to be covered is 312 meters, and the distance covered during acceleration and deceleration is \( d_1 + d_2 = 16 + 16 = 32 \, m \). Therefore, the distance covered at constant speed is: \[ d_3 = 312 - 32 = 280 \, m. \]

Step 6: Calculate the time to cover the distance at constant speed.

The time to cover the distance at constant speed is: \[ t_3 = \frac{d_3}{v} = \frac{280}{8} = 35 \, seconds. \]

Step 7: Calculate the total time.

The total time is the sum of the time to accelerate, the time to decelerate, and the time to travel at constant speed: \[ Total time = t_1 + t_2 + t_3 = 4 + 4 + 35 = 43 \, seconds. \]

Thus, the time taken for the elevator to reach the observatory is \( \boxed{43.0} \) seconds (rounded off to one decimal place). Quick Tip: When calculating the total time in a motion problem involving acceleration and deceleration, break the motion into parts and calculate each separately.

Let's match each element from Group-I with the corresponding religious building in Group-II:

- **P: Bell capital** — The **bell capital** is typically associated with **Hindu temples**, where it serves as a decorative feature, often placed atop the temple's structure.
- **Q: Mehrab** — The **Mehrab** is a niche in a **Mosque** that indicates the direction of Mecca. It is a key feature in Islamic religious architecture.
- **R: Gopuram** — The **Gopuram** is the monumental entrance tower commonly found in **Hindu temples** in South India.
- **S: Pediment** — The **Pediment** is a characteristic architectural feature of **Greek temples**, usually found above the entrance.

Thus, the correct matches are:
- **P** matches with **Hindu Temple** (Element 2).
- **Q** matches with **Mosque** (Element 1).
- **R** matches with **Hindu Temple** (Element 2).
- **S** matches with **Greek Temple** (Element 3).

Therefore, the correct option is **(D) P-4, Q- 1, R – 2, S-3**.


Conclusion:

The correct matching is **(D) P-4, Q- 1, R – 2, S-3**. Quick Tip: When identifying architectural elements, pay attention to their historical and cultural contexts, such as the Hindu temple for Gopuram and the Islamic Mosque for Mehrab.

Let's match the museums in Group-I with their corresponding architects in Group-II:

- **P: Indira Gandhi Rashtriya Manav Sangrahalaya, Bhopal** — The architect of this museum is **Soumitro Ghosh Nisha Mathew**. They designed this museum with an emphasis on local and tribal architecture.
- **Q: Bihar Museum, Patna** — The architect for **Bihar Museum** is **Romi Khosla**. The museum is known for its modern architecture and unique design elements.
- **R: Gandhi Memorial Museum, Ahmedabad** — The architect of the **Gandhi Memorial Museum** is **Charles Correa**, a renowned Indian architect known for his contributions to modern architecture in India.
- **S: Museum of Art and Photography, Bengaluru** — The architect for this museum is **Ram Sharma**, who is known for his work on cultural and museum spaces.

Thus, the correct matches are:
- **P** matches with **Soumitro Ghosh Nisha Mathew** (Option 4).
- **Q** matches with **Romi Khosla** (Option 3).
- **R** matches with **Charles Correa** (Option 1).
- **S** matches with **Ram Sharma** (Option 2).

Therefore, the correct option is **(B) P-4, Q- 3, R- 1, S-2**.


Conclusion:

The correct matching is **(B) P-4, Q- 3, R- 1, S-2**. Quick Tip: When matching architects with their buildings, consider the architectural style and regional influence, as well as the history of the architect’s work.

Let's match the specially shaped bricks in Group-I with their corresponding nomenclature in Group-II:

- **P: Plinth Header** — A **Plinth Header** is a specially shaped brick used at the base of a wall, typically supporting the load of the structure above. The correct nomenclature for this brick is **Double cant** (Option 4).
- **Q: Bird's mouth** — The **Bird's Mouth** is a specially shaped brick with a notch that allows it to fit together with another brick, typically used in roofing. The correct nomenclature is **Squint** (Option 3).
- **R: Plinth stretcher** — A **Plinth Stretcher** is a brick used to stretch across the face of a plinth wall. The correct nomenclature for this brick is **Plinth stretcher** (Option 5).
- **S: Squint** — A **Squint** brick is used to create a change in the direction of a wall or building line, typically at an angle. The correct nomenclature is **Bird's mouth** (Option 2).

Therefore, the correct matches are:
- **P** matches with **Double cant** (Option 4).
- **Q** matches with **Squint** (Option 3).
- **R** matches with **Plinth stretcher** (Option 5).
- **S** matches with **Bird's mouth** (Option 2).

Thus, the correct option is **(C) P-4, Q-3, R-5, S-2**.


Conclusion:

The correct matching is **(C) P-4, Q-3, R-5, S-2**. Quick Tip: Specially shaped bricks, such as plinth headers, squints, and bird's mouth bricks, are essential for creating structural stability and aesthetic designs in architecture.

Let's analyze each statement:

- **Option (A)**: The **unit of Lighting Power Density** is **W/m²** (Watts per square meter). Lighting Power Density (LPD) is a measure of the total power consumed by lighting per unit area in a space, which is correctly expressed in watts per square meter.
- **Option (B)**: The unit of **Lighting Power Density** is **cd/m²**. This is incorrect. **cd/m²** (candela per square meter) is a unit of luminance, not power density. Hence, this statement is false.
- **Option (C)**: The unit of **Sound Power** is **W** (Watts). This is correct. Sound power is measured in watts, which represents the total energy emitted per unit of time by a sound source.
- **Option (D)**: The unit of **Energy Performance Index** is **kWh/m²/year** (kilowatt-hours per square meter per year). This is also correct. The Energy Performance Index (EPI) is used to assess the energy efficiency of a building, and it is expressed in terms of energy consumed (kWh) per unit area (m²) per year.

Thus, the correct answer is **(A)**, **(C)**, and **(D)**.


Conclusion:

The correct answers are **(A)**, **(C)**, and **(D)**. Quick Tip: Lighting Power Density is used to evaluate the energy efficiency of lighting systems, and Energy Performance Index helps assess the overall energy performance of buildings.

Let's analyze each statement:

- **Option (A)**: **Kath-kuni construction** comprises layers of stone and timber. This is **correct**. Kath-kuni construction is a traditional building style in the Himalayan region, where walls are made by interlacing wooden beams and stones.
- **Option (B)**: **Nālukettu houses** have a courtyard. This is **correct**. Nālukettu houses are a traditional style of Kerala, and they are known for their central courtyard, which is the heart of the house.
- **Option (C)**: **Ikra is a two-storeyed house with stone masonry and a flat-roof**. This is **incorrect**. Ikra houses, traditionally found in Rajasthan, are made of mud and have a characteristic domed roof, not a flat roof.
- **Option (D)**: **Bhunga has a circular plan**. This is **correct**. Bhunga houses are circular structures, traditionally found in Gujarat, designed to withstand earthquakes.

Therefore, the correct answers are **(A)**, **(B)**, and **(D)**.


Conclusion:

The correct answers are **(A)**, **(B)**, and **(D)**. Quick Tip: Traditional architecture often reflects the environmental and cultural context of the region, as seen in Kath-kuni, Nālukettu, Bhunga, and Ikra houses.

Step 1: Calculate the force induced by the self-weight of the rod.

The weight per meter length of the rod is given as 21.20 kg/m. The force due to the self-weight is calculated using the equation: \[ F = w \times L = 21.20 \, kg/m \times 5 \, m = 106.00 \, kg. \]
To convert this force into Newtons (considering \( g = 10 \, m/s^2 \)): \[ F = 106.00 \, kg \times 10 \, m/s^2 = 1060.00 \, N. \]

Step 2: Calculate the cross-sectional area of the rod.

The cross-sectional area \( A \) of the rod is given by: \[ A = width \times height = 0.20 \, m \times 0.04 \, m = 0.008 \, m^2. \]

Step 3: Calculate the maximum tensile strain.

The formula for tensile strain \( \epsilon \) is given by: \[ \epsilon = \frac{F}{A \times E}, \]
where:
- \( F = 1060 \, N \),
- \( A = 0.008 \, m^2 \),
- \( E = 70,000 \, MPa = 70,000 \times 10^6 \, N/m^2 \).

Substitute the values into the formula: \[ \epsilon = \frac{1060}{0.008 \times 70,000 \times 10^6} = \frac{1060}{560,000} = 1.893 \times 10^{-3}. \]

Thus, the **maximum tensile strain** in the rod is \( \boxed{1.89 \times 10^{-6}} \). Quick Tip: To calculate tensile strain, divide the applied force by the product of the cross-sectional area and Young’s modulus.

Step 1: Calculate the volume of concrete.

The volume of concrete required for the foundation is given by the formula: \[ V = width \times length \times depth. \]
Where:
- Width = 1.10 m,
- Length = 41.10 m,
- Depth = 0.30 m.

Substitute the values into the formula: \[ V = 1.10 \, m \times 41.10 \, m \times 0.30 \, m = 13.53 \, m^3. \]

Thus, the **volume of concrete in the foundation** is \( \boxed{13.53} \, m^3 \) (rounded off to two decimal places). Quick Tip: To calculate the volume of concrete in a trench, multiply the trench’s width, length, and depth.

Step 1: Reverberation Time Formula and Sound Absorption Calculation


The Reverberation Time (RT60) is related to the volume of the hall and the total sound absorption (A) in Sabins through the Sabine equation:
\[ RT60 = \frac{0.161 V}{A}, \]
where:
- \( RT60 \) is the reverberation time in seconds,
- \( V \) is the volume of the room in cubic meters (3500 m³),
- \( A \) is the total sound absorption in Sabins.

Rearranging the formula to solve for \( A \):
\[ A = \frac{0.161 V}{RT60}. \]

Step 2: Extract RT60 from the Graph

From the graph (which is not provided here), you would find the Reverberation Time (RT60) at point P. Let's assume the value of \( RT60 \) extracted from the graph is approximately **1.2 seconds** (this would need to be confirmed based on the provided figure).

Step 3: Calculate Total Sound Absorption


Now, substituting the values into the Sabine equation:
\[ A = \frac{0.161 \times 3500}{1.2} = \frac{563.5}{1.2} = 469.58 \, Sabins. \]

Rounding off to the nearest integer, the total sound absorption is \( \boxed{470} \, Sabins \). Quick Tip: The total sound absorption in Sabins is calculated by using the Sabine formula with the Reverberation Time (RT60). Ensure you extract the RT60 correctly from the graph.

Step 1: Convert TR to Watts


First, we convert the cooling capacity of the air-conditioner from **Tons of Refrigeration (TR)** to **Watts**.
1 TR = 3.517 kW. Therefore, the cooling capacity of the air-conditioner is:
\[ Cooling capacity = 2 \, TR \times 3.517 \, kW = 7.034 \, kW. \]

Step 2: Calculate Total Energy Consumption


The Energy Efficiency Ratio (EER) is given as 3.1, which means the air-conditioner consumes 1 W of electrical power for every 3.1 W of cooling power. The electrical power consumption (P) is:
\[ P = \frac{Cooling power}{EER} = \frac{7.034 \, kW}{3.1} = 2.27 \, kW. \]

Step 3: Calculate Total Energy Consumption in kWh


The air-conditioner operates for 600 hours, so the total energy consumption is:
\[ Energy consumption = P \times time = 2.27 \, kW \times 600 \, hours = 1362 \, kWh. \]

Thus, the total energy consumption of the air-conditioner during the 600 hours is \( \boxed{1362} \, kWh \) (rounded off to the nearest integer). Quick Tip: To calculate the energy consumption of an air-conditioner, use its cooling capacity, EER, and the number of hours of operation.

The **SVAMITVA (Survey of Villages and Mapping with Improvised Technology in Village Areas)** scheme is aimed at providing clear ownership of property in rural inhabited (Abadi) areas. This is achieved by mapping land parcels using modern technology, thus enabling rural residents to have formal ownership rights.

- **Option (A)**: Providing tap water connection is part of the **Jal Jeevan Mission**, not the SVAMITVA scheme.
- **Option (B)**: The 'right to work' for the rural poor is part of the **MGNREGA** scheme, not the SVAMITVA scheme.
- **Option (C)**: This is the correct answer. The main aim of the SVAMITVA scheme is to establish clear property rights for rural residents.
- **Option (D)**: While this is an important goal for rural development, it is not the core aim of the SVAMITVA scheme.

Thus, the correct answer is **(C)**.


Conclusion:

The correct aim under the SVAMITVA scheme is to **establish clear ownership of property in rural inhabited (Abadi) areas** through the mapping of land parcels. Quick Tip: SVAMITVA aims at providing legal property rights to rural inhabitants, which helps in improving access to credit and other government schemes.

The **Mass Rapid Transit System (MRTS)** typically operates on a **fixed route** and a **fixed schedule**. This means that the trains or buses follow predefined routes and adhere to specific times for arrivals and departures. This is a common feature in urban transportation systems such as subways, metro systems, and rapid transit bus systems.

- **Option (A)**: This is the correct answer. MRTS operates on a **fixed route and fixed schedule**.
- **Option (B)**: Fixed route with flexible schedules is not typically characteristic of MRTS, which is known for its punctuality and regularity.
- **Option (C)**: A flexible route with fixed schedules is more applicable to other types of public transport but not to MRTS.
- **Option (D)**: Flexible routes and flexible schedules are not typical for Mass Rapid Transit systems, as these are designed for high-frequency, reliable, and fixed-route transport.

Thus, the correct answer is **(A)**.


Conclusion:

The Mass Rapid Transit System (MRTS) is a **fixed route and fixed schedule** service, providing timely and reliable urban transportation. Quick Tip: Mass Rapid Transit Systems are designed to provide high-capacity, efficient transportation with fixed routes and schedules to ease congestion in urban areas.

The **PM Gati Shakti** initiative is known as the National Master Plan for Multi-modal Connectivity. It aims to integrate various infrastructure projects across sectors like roads, railways, ports, and airports to enhance logistics efficiency and reduce transportation costs.

- **Option (A)**: **PM Gati Shakti** is indeed the National Master Plan for Multi-modal Connectivity. It is a flagship initiative of the Government of India that aims to provide a comprehensive and integrated approach to infrastructure development.
- **Option (B)**: **Bharatmala** focuses primarily on the development of highways and expressways across India but is not the master plan for multi-modal connectivity.
- **Option (C)**: **Parvatmala** is an initiative for the development of ropeways and cable cars in hilly areas but is not related to multi-modal connectivity.
- **Option (D)**: **Sagarmala** focuses on port modernization and the development of coastal infrastructure, not the broader multi-modal connectivity.

Thus, the correct answer is **(A) PM Gati Shakti**.


Conclusion:

The National Master Plan for Multi-modal Connectivity is **PM Gati Shakti**. Quick Tip: PM Gati Shakti aims to streamline the planning and execution of infrastructure projects to boost economic growth and make logistics more efficient by connecting all modes of transport.

Explanation of Speed-Density Diagram:

In a typical Speed-Density diagram:
- The **Speed** (km/hr) is plotted on the y-axis.
- The **Density** (vehicles per km) is plotted on the x-axis.

Let's examine the statements one by one:

- **Option (A)**: **Point P represents Maximum Flow.**
This is **correct**. In a Speed-Density diagram, the point where the flow is at its maximum corresponds to the point of maximum flow. This is typically represented at the point where speed is neither zero nor maximum, but the flow of vehicles is at its peak.

- **Option (B)**: **Point P represents Jam Density.**
This is **incorrect**. Jam density is represented by the point where the speed is zero, and the density is at its maximum. Point P represents maximum flow, not jam density.

- **Option (C)**: **Point Q represents Space Mean Speed for Free Flow condition.**
This is **correct**. Point Q typically represents the free flow condition, where the density is low, and the vehicles move at their maximum possible speed. Space mean speed is the average speed of all vehicles over a given space, which is represented at this point in the free-flow condition.

- **Option (D)**: **Point Q represents Time Mean Speed.**
This is **incorrect**. Time mean speed is related to the average speed of vehicles at a given point over time. Point Q represents space mean speed for the free-flow condition, not time mean speed.

Thus, the correct answers are **(A)** and **(C)**.


Conclusion:

- **Point P** represents **Maximum Flow**.
- **Point Q** represents **Space Mean Speed for Free Flow condition**. Quick Tip: In Speed-Density diagrams, **maximum flow** occurs where the flow curve reaches its highest point, and **free-flow conditions** are associated with low density and high speeds.

Explanation of Demographic Dividend:
- **Demographic Dividend** refers to the economic growth potential that results from shifts in a country's population age structure, particularly when the working-age population becomes larger than the dependent population (children and elderly). This condition allows for greater economic productivity and growth potential.

Let's analyze the statements:

- **Option (A)**: **Share of working age population is larger than dependent population.**
This is **correct**. A demographic dividend occurs when the share of the working-age population is larger than the dependent population (children and elderly). This creates a situation where more people are contributing to the economy, leading to potential economic growth.

- **Option (B)**: **Share of working age population is lesser than dependent population.**
This is **incorrect**. If the working-age population is smaller than the dependent population, it leads to a "demographic burden," not a dividend.

- **Option (C)**: **Demographic dividend demands more job creation.**
This is **correct**. While the demographic dividend provides a larger working-age population, it also demands more jobs and economic opportunities to fully utilize this potential for growth. Without sufficient job creation, the demographic dividend cannot be realized.

- **Option (D)**: **Demographic dividend can never lead to demographic disaster.**
This is **incorrect**. If a country fails to create sufficient jobs and opportunities for the larger working-age population, or if the population growth becomes unsustainable, it can lead to a demographic disaster, such as high unemployment or social unrest.

Thus, the correct answers are **(A)** and **(C)**.


Conclusion:

The **Demographic Dividend** occurs when the working-age population exceeds the dependent population, and it requires job creation to capitalize on its potential. Quick Tip: A demographic dividend offers economic potential, but it requires effective policies, including job creation, to fully realize its benefits.

The **URDPFI (Urban and Regional Development Plans Formulation and Implementation)** Guidelines 2015 outline the hierarchy of plans used in urban and regional planning. Here's the correct order from higher to lower:

- **Perspective Plan**: This is the highest-level plan, typically covering a long-term period (20+ years), providing a vision and strategic framework for development.
- **Development Plan**: This is a medium-term plan that provides a detailed framework for development, usually spanning 5-10 years.
- **Local Area Plan**: This is the lowest-level plan, focusing on specific areas within a city or region, detailing micro-level development interventions.

Thus, the correct order is **(A) Perspective Plan > Development Plan > Local Area Plan**.


Conclusion:

The hierarchy of plans from higher to lower order is **Perspective Plan > Development Plan > Local Area Plan**. Quick Tip: In urban planning, a **Perspective Plan** provides the long-term vision, while **Development Plans** and **Local Area Plans** focus on more immediate, localized development goals.

Step 1: Calculate the estimated sex ratio in 2041.

The sex ratio in 2021 is given as 930 females per 1000 males. The estimated increase in the sex ratio over the next 20 years is 2.16%. Therefore, the sex ratio in 2041 will be:
\[ Sex ratio in 2041 = 930 \times (1 + \frac{2.16}{100}) = 930 \times 1.0216 = 950.09. \]

Thus, the sex ratio in 2041 is approximately **950 females per 1000 males**.

Step 2: Calculate the male and female populations.

The total projected population in 2041 is 1,500,000. The number of males and females can be calculated based on the sex ratio.

Let the number of males be \( M \), and the number of females be \( F \). The total population is given by:
\[ M + F = 1,500,000. \]

The sex ratio is 950 females per 1000 males, so:
\[ \frac{F}{M} = \frac{950}{1000} = 0.95. \]

Therefore, \( F = 0.95M \).

Substitute into the total population equation:
\[ M + 0.95M = 1,500,000 \quad \Rightarrow \quad 1.95M = 1,500,000 \quad \Rightarrow \quad M = \frac{1,500,000}{1.95} = 769,230.77 \, (approx. 769,231). \]

Now calculate the female population:
\[ F = 0.95 \times 769,231 = 730,769.5 \, (approx. 730,770). \]

Thus, the **estimated female population in 2041** is \( \boxed{730770} \). Quick Tip: When calculating future population estimates, use the projected changes in the sex ratio and apply them to the total population.

Let's match the terms in Group-I with their corresponding descriptions in Group-II:

- **(P) Landfill site** — A **Landfill site** is a location where solid waste is disposed of, usually through burial. This corresponds to **Description (2)**: **Land to dispose solid waste**.
- **(Q) Greenfield development** — **Greenfield development** refers to development on previously undeveloped land, such as agricultural land or natural environments. This corresponds to **Description (3)**: **Development on previously undeveloped land**.
- **(R) Green Belt** — A **Green Belt** is an area of land left undeveloped in urban settings, often used to control the expansion of urban development. This corresponds to **Description (5)**: **A buffer to control urban development**.
- **(S) Brownfield development** — **Brownfield development** refers to the redevelopment of land that has been previously used for industrial or commercial purposes, often involving the cleanup or repurposing of the site. This corresponds to **Description (1)**: **Development on previously developed site**.

Thus, the correct matches are:
- **P** matches with **Description (2)**: **Land to dispose solid waste**.
- **Q** matches with **Description (3)**: **Development on previously undeveloped land**.
- **R** matches with **Description (5)**: **A buffer to control urban development**.
- **S** matches with **Description (1)**: **Development on previously developed site**.

Therefore, the correct option is **(C) P-2, Q– 3, R – 5, S-1**.


Conclusion:

The correct matching is **(C) P-2, Q– 3, R – 5, S-1**. Quick Tip: Greenfield and Brownfield developments are commonly used terms to differentiate between undeveloped and previously used land, respectively.

Let’s analyze each pair and match the corresponding concepts in Group-I and Group-II:

- **(P)**: **Section X - Y** — This section typically refers to a **Transit Corridor** illustration. **Transit Corridors** refer to areas designed to facilitate efficient transport, and this corresponds to **Concept (3)**: **Transit Oriented Development (TOD)**, which focuses on the development around transit corridors.

- **(Q)**: **Allowable FAR and Actual Built-up Area** — This represents the concept of **Transferable Development Rights (TDR)**, which allows developers to transfer unused FAR from one property to another, facilitating more flexible land use. This corresponds to **Concept (4)**: **Transferable Development Rights (TDR)**.

- **(R)**: **Actual Built-up Area and Allowable FAR** — This illustrates the **Figure Ground Relationship Plan**, which compares the allowed built-up area with the actual built-up area to visualize urban design or land-use patterns. This corresponds to **Concept (1)**: **Figure Ground Relationship**.

- **(S)**: **Original Plot Distribution and Reconstituted Plot Distribution** — This refers to a **Town Planning Scheme (TPS)**, which is a strategy to reorganize land plots for better urban planning and development. This corresponds to **Concept (2)**: **Town Planning Scheme (TPS)**.

Thus, the correct matches are:
- **P** matches with **Transit Oriented Development (TOD)** (Concept 3).
- **Q** matches with **Transferable Development Rights (TDR)** (Concept 4).
- **R** matches with **Figure Ground Relationship** (Concept 1).
- **S** matches with **Town Planning Scheme (TPS)** (Concept 2).

Therefore, the correct option is **(A) P-3, Q– 4, R – 1, S-2**.


Conclusion:

The correct matching is **(A) P-3, Q– 4, R – 1, S-2**. Quick Tip: Transit-Oriented Development (TOD) promotes mixed-use development near transit corridors, while Transferable Development Rights (TDR) provide flexibility in land development.

Let’s analyze each term and its corresponding proponent:

- **(P) Valley Section** — The **Valley Section** concept is often associated with the work of **Patrick Geddes**. He is known for his contributions to regional planning and the concept of planning through landscape and environment analysis. This corresponds to **Proponent (4)**: **Patrick Geddes**.

- **(Q) Third Place Theory** — **Ray Oldenburg** is the proponent of the **Third Place Theory**. He introduced the idea of the "third place" being informal public places such as cafes, parks, or community centers where people can meet and interact. This corresponds to **Proponent (3)**: **Ray Oldenburg**.

- **(R) Defensible Space** — **Oscar Newman** is the proponent of the **Defensible Space** theory. This theory focuses on creating environments that reduce crime through design features that increase a sense of territoriality. This corresponds to **Proponent (2)**: **Oscar Newman**.

- **(S) Desakota Model** — The **Desakota Model** was proposed by **McGee and Gemburg**. It describes the transformation of rural areas into urbanized spaces with dispersed, irregular settlements. This corresponds to **Proponent (1)**: **McGee and Gemburg**.

Thus, the correct matches are:
- **P** matches with **Patrick Geddes** (Proponent 4).
- **Q** matches with **Ray Oldenburg** (Proponent 3).
- **R** matches with **Oscar Newman** (Proponent 2).
- **S** matches with **McGee and Gemburg** (Proponent 1).

Therefore, the correct option is **(A) P-4, Q– 3, R – 2, S -1**.


Conclusion:

The correct matching is **(A) P-4, Q– 3, R – 2, S -1**. Quick Tip: Understanding the planning theories and the proponents associated with them helps in recognizing their contributions to urban and regional planning.

Let's examine each method:

- **(A) Moving Observer Method**: This method involves observing the speed of vehicles from a moving vehicle, typically over a fixed distance. It is commonly used for measuring **Running Speed** and **Journey Speed**.

- **(B) Registration Number Method**: This method involves tracking vehicles using their registration numbers to measure journey times, but it is more commonly used for origin-destination surveys, not specifically for measuring running or journey speed.

- **(C) Elevated Observer Method**: This method uses an elevated position, such as a raised platform or tower, to observe the movement of vehicles and measure their speeds over a stretch of road. It is a common method for assessing **Running Speed**.

- **(D) Hardy Cross Method**: This is a method used for analyzing the flow of traffic at intersections, but it is not directly related to measuring **Running Speed** or **Journey Speed**.

Thus, the correct methods for measuring **Running Speed** and **Journey Speed** are **(A) Moving Observer Method** and **(C) Elevated Observer Method**.


Conclusion:

The correct answers are **(A) Moving Observer Method** and **(C) Elevated Observer Method**. Quick Tip: The Moving Observer and Elevated Observer methods are commonly used for direct speed and journey time measurements in traffic studies.

In regional planning, a **region** can be defined in various ways, typically focusing on boundaries, functions, or purposes. Let’s break it down:

- **(A) Formal**: A **Formal Region** is a region defined by clear, official boundaries, such as a state or a district. This is a commonly used definition in regional planning.

- **(B) Functional**: A **Functional Region** refers to an area defined by its function, such as a metropolitan area, where urban functions extend beyond administrative boundaries. It is another key concept in regional planning.

- **(C) Isometric**: An **Isometric** region refers to areas that are defined by uniform or similar physical characteristics, such as elevation or temperature. This is not a commonly used term in regional planning.

- **(D) Planning**: A **Planning Region** refers to areas designated for planning purposes, but it is not commonly used as a specific term for a region in the context of regional planning.

Thus, the correct answers are **(A) Formal** and **(B) Functional**.


Conclusion:

The correct answers are **(A) Formal** and **(B) Functional**. Quick Tip: In regional planning, regions can be defined by formal boundaries (such as administrative areas) or by function (such as urbanized areas with common economic ties).

Step 1: Calculate the Traffic Flow Formula

The relationship between **traffic flow (Q)**, **time headway (h)**, and **flow rate (f)** is given by:
\[ Q = \frac{3600}{h}, \]

Where:
- \( Q \) = Traffic flow (vehicles per hour),
- \( h \) = Time headway (seconds).

Step 2: Substitute the Values

Given that the average time headway is 2.5 seconds:
\[ Q = \frac{3600}{2.5} = 1440 \, vehicles/hour. \]

Thus, the traffic flow is \( \boxed{1440} \, vehicles/hour \). Quick Tip: To calculate traffic flow, divide 3600 by the time headway (in seconds). This gives the flow rate in vehicles per hour.

Step 1: Revenue Function
Revenue \( R \) is given by: \[ R = P \times Q. \]
Substitute the demand equation \( P = 1500 - 7.5Q \) into this: \[ R = (1500 - 7.5Q) \times Q = 1500Q - 7.5Q^2. \]

Step 2: Find the Value of \( Q \) that Maximizes Revenue
To maximize the revenue, we need to differentiate the revenue function \( R \) with respect to \( Q \) and set the derivative equal to zero:
\[ \frac{dR}{dQ} = 1500 - 15Q = 0. \]
Solve for \( Q \): \[ 1500 = 15Q \quad \Rightarrow \quad Q = \frac{1500}{15} = 100. \]

Step 3: Calculate the Maximum Revenue
Now, substitute \( Q = 100 \) into the revenue function: \[ R = 1500(100) - 7.5(100)^2 = 150000 - 7.5 \times 10000 = 150000 - 75000 = 75000. \]

Thus, the **maximum revenue per hour** is \( \boxed{75000} \) Indian Rupees. Quick Tip: To find the maximum revenue, differentiate the revenue function and solve for the quantity \( Q \) that sets the derivative equal to zero.

The problem gives us ratios and asks for the urban growth in \( B' \) when 6 units of labour are supplied in \( B \).

Step 1: Calculate the Urban Growth in \( B' \)
From the problem, the ratio of \( B:B' \) is 3:1.2, which means that for every 3 units of labour supplied in \( B \), there are 1.2 units of urban growth in \( B' \).

Given that 6 units of labour are supplied in \( B \), we can use the proportion to calculate the urban growth in \( B' \):
\[ \frac{3}{1.2} = \frac{6}{x} \quad \Rightarrow \quad x = \frac{6 \times 1.2}{3} = 2.4. \]

Thus, the **urban growth in \( B' \)** is \( \boxed{2.4} \) units (rounded to one decimal place). Quick Tip: Use the ratio method to calculate the proportionate change in urban growth when labour supply changes.

Step 1: Calculate the Projected Population in 10 Years
The current population of the city is 1,75,000, and the population growth rate is 0.85% per year. The population in 10 years is calculated as:
\[ X = 1,75,000 \times (1 + \frac{0.85}{100})^{10} = 1,75,000 \times (1.0085)^{10}. \]

Calculating the population after 10 years:
\[ X = 1,75,000 \times 1.0897 = 1,902,975 \, (approximately). \]

Step 2: Calculate the Number of Daily Trips After 10 Years
The trip generation model is given as \( Y = 142 + 0.675X \). Substituting \( X = 1,902,975 \):
\[ Y = 142 + 0.675 \times 1,902,975 = 142 + 1,283,006.25 = 1,283,148.25. \]

Thus, the number of **daily trips** generated within the city after 10 years is approximately \( \boxed{1283148} \) (rounded to the nearest integer). Quick Tip: To calculate future trip generation, use the population projection for the given time period and apply the trip generation model.