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Past Questions — 2024
For equal cross sectional area, the most efficient section for column is -
A)
I- Section
B)
Channel section
C)
Circular section
D)
Circular hollow section
The efficiency of a column section is determined by its ability to resist buckling. Buckling resistance depends on the Radius of Gyration (r), where r = sqrt(I/A). For a given cross-sectional area (A), the most efficient section is the one that maximizes the minimum moment of inertia (I_min) in all directions, thereby maximizing the radius of gyration and the critical buckling load (Euler's load).
1. **Circular Hollow Section (CHS):** This section distributes the material as far as possible from the centroidal axis in all directions. It has a constant radius of gyration in every direction, meaning there is no 'weak axis.' This makes it the most efficient shape for resisting compression and buckling for a given area.
2. **Circular Section (Solid):** While it has a constant radius of gyration, the material is concentrated toward the center, resulting in a lower moment of inertia compared to a hollow section of the same area.
3. **I-Section:** These are highly efficient for bending (beams) but have a very weak axis (the y-y axis), making them prone to buckling in that direction unless braced.
4. **Channel Section:** Like the I-section, it is asymmetrical and has a significantly weaker axis, making it less efficient than a circular hollow section for pure axial compression.
Depreciation amount charged on a machinery will be debited to -
A)
Repair account
B)
Cash account
C)
Depreciation account
D)
Machinery account
In accounting, depreciation is the systematic allocation of the cost of a tangible asset over its useful life. According to the double-entry bookkeeping system, every transaction affects at least two accounts. When depreciation is charged on machinery, the journal entry is:
1. Debit the 'Depreciation Account' (which is an expense account, and expenses are increased by debits).
2. Credit the 'Machinery Account' (or 'Accumulated Depreciation Account'), which reduces the book value of the asset.
Analysis of options:
- Option (a) Repair account: Repairs are revenue expenditures for maintenance, whereas depreciation is the allocation of the original capital cost.
- Option (b) Cash account: Depreciation is a non-cash expense; no cash leaves the business when depreciation is recorded.
- Option (c) Depreciation account: Correct. This account tracks the total expense of wear and tear for the period.
- Option (d) Machinery account: This account is credited (not debited) to reflect the decrease in the asset's value.
Choose the best word to complete the analogy: Ebullient is to Enthusiastic as __________ is to Indifferent.
A)
Phlegmatic
B)
Animated
C)
Zealous
D)
Ardent
Step 1: Analyze the relationship between the first pair of words. 'Ebullient' means overflowing with fervor, enthusiasm, or excitement. 'Enthusiastic' is a synonym for ebullient. Therefore, the relationship is one of synonymy (synonyms).
Step 2: Apply this relationship to the second pair. We need a word that is a synonym for 'Indifferent'. 'Indifferent' means having no particular interest or sympathy; unconcerned.
Step 3: Evaluate the options:
- (a) Phlegmatic: This describes a person who has an unemotional and stolidly calm disposition; it is a synonym for indifferent or apathetic.
- (b) Animated: This means full of life or excitement; it is an antonym of indifferent.
- (c) Zealous: This means showing great energy or enthusiasm in pursuit of a cause; it is an antonym of indifferent.
- (d) Ardent: This means enthusiastic or passionate; it is an antonym of indifferent.
Conclusion: Since 'Phlegmatic' is the only word that shares a similar meaning with 'Indifferent', it completes the analogy correctly.
The distance between two consecutive hair-pin bends should be a minimum of -
A)
60m
B)
50m
C)
40m
D)
65m
In Highway Engineering, specifically for hill road design, hair-pin bends are used to gain elevation in steep terrain. According to standard IRC (Indian Roads Congress) guidelines and general highway engineering practices for the design of hair-pin bends, the distance between two consecutive hair-pin bends should be kept sufficient to avoid driver fatigue and ensure safety. The minimum recommended distance between two consecutive hair-pin bends is 60 meters. This spacing is necessary to provide a transition zone and ensure that the vehicle has enough straight stretch to stabilize before entering another sharp turn. Options b, c, and d are incorrect as they do not meet the minimum safety and design standards specified for these road geometries.
Which one of the following is not the purpose of an approximate estimate?
A)
To save time and money
B)
To investigate feasibility
C)
For Insurance and Tax Schedule
D)
None of these
An approximate (or preliminary) estimate is prepared in the initial stages of a project to get a rough idea of the cost.
1. **Investigating Feasibility (Option b):** This is a primary purpose. Before investing in detailed designs and full-scale planning, an approximate estimate helps the owner or authority decide if the project is financially viable.
2. **Insurance and Tax Schedules (Option c):** Approximate estimates are frequently used for administrative purposes, such as determining insurance premiums or calculating tax schedules for a property or proposed structure.
3. **Saving Time and Money (Option a):** While an approximate estimate is *faster* to prepare than a detailed estimate, its 'purpose' is not to 'save time and money' in the context of the project's execution. In fact, relying solely on an approximate estimate for construction would lead to significant financial risk and waste. The purpose of the estimate is to provide a budgetary guideline, not to act as a cost-saving mechanism for the project itself.
Therefore, option (a) is not a formal purpose of preparing an approximate estimate.
Refraction error is the least in case of -
A)
Stadia tacheometry
B)
Tangential tacheometry
C)
Subtense bar tacheometry
D)
Omnimeters
In tacheometry, refraction error occurs because the line of sight passes through layers of air with varying densities, causing the light to bend.
1. **Stadia Tacheometry**: This method relies on reading stadia hairs on a leveling staff. Because it involves reading a scale at a distance, it is susceptible to both refraction and the 'curvature of the earth' errors, especially over longer distances.
2. **Tangential Tacheometry**: This method involves measuring horizontal and vertical angles to two points on a staff. It is generally used when the staff is not visible or the distance is very long, making it highly susceptible to atmospheric refraction.
3. **Subtense Bar Tacheometry**: In this method, a bar of a known fixed length is used. The distance is calculated using the formula D = b / tan(θ), where 'b' is the length of the bar and 'θ' is the subtended angle. Because the distance is derived from a small horizontal angle subtended by a known base, the effect of atmospheric refraction (which primarily affects the vertical alignment and the clarity of readings on a scale) is significantly minimized compared to methods relying on staff intercepts.
4. **Omnimeters**: These are specialized instruments, but they do not inherently eliminate refraction errors more effectively than the geometric principle of the subtense bar.
Therefore, Subtense bar tacheometry is the most accurate in terms of minimizing refraction error because it relies on the measurement of a horizontal angle rather than the reading of a graduated staff at a distance.
The value of the property at the end of its useful life (without being dismantled) is known as -
A)
Salvage value
B)
Scrap value
C)
Book value
D)
Junk value
In the context of valuation and depreciation, it is crucial to distinguish between salvage value and scrap value:
1. **Salvage Value (Option a):** This is the estimated value of an asset at the end of its useful life, assuming it is still in its current state and has not been dismantled. It represents the value the owner can expect to receive if they sell the asset as a whole after its intended service period.
2. **Scrap Value (Option b):** This is the value of the asset at the end of its useful life after it has been dismantled and the materials (like steel, bricks, etc.) are sold as scrap. Scrap value is typically lower than salvage value because it refers to the material value rather than the functional or structural value.
3. **Book Value (Option c):** This is the current value of the asset as per the accounting records, calculated as the original cost minus the accumulated depreciation up to that date.
4. **Junk Value (Option d):** This is a colloquial term often used interchangeably with scrap value, referring to the value of an asset that is no longer useful and is sold for its raw material components.
Since the question specifically mentions the value 'without being dismantled', the correct technical term is Salvage Value.
The most common cause of acidity in water is -
A)
Oxygen
B)
Hydrogen
C)
Nitrogen
D)
Carbon dioxide
In environmental engineering and water chemistry, acidity is defined as the capacity of water to neutralize a strong base. The most common cause of acidity in natural water is the dissolution of carbon dioxide (CO2) from the atmosphere or from decaying organic matter in soil. When CO2 dissolves in water, it forms carbonic acid (H2CO3) according to the reaction: CO2 + H2O ⇌ H2CO3. This carbonic acid then dissociates to release hydrogen ions (H+), which lowers the pH and increases the acidity of the water.
Why other options are incorrect:
- Oxygen (a): Dissolved oxygen is essential for aquatic life and does not contribute to the acidity of water.
- Hydrogen (b): While hydrogen ions (H+) are the *measure* of acidity, hydrogen gas (H2) is not a cause of acidity.
- Nitrogen (n): Nitrogen gas (N2) is inert and does not cause acidity. While nitrogen oxides (NOx) can cause acid rain, the most common and pervasive cause of acidity in general water bodies is dissolved carbon dioxide.
Longer exposure to NO2 even in small concentrations may cause diseases pertaining to -
A)
Liver
B)
Heart
C)
Lungs
D)
Kidneys
Nitrogen Dioxide (NO2) is a highly reactive gas and a primary air pollutant. When inhaled, it penetrates deep into the respiratory system. Long-term exposure, even at low concentrations, leads to inflammation of the airways, increased susceptibility to respiratory infections, and the development of chronic obstructive pulmonary disease (COPD) or asthma. Because NO2 specifically targets the respiratory epithelium and alveolar tissues, it causes diseases pertaining to the lungs.
- Liver (a) and Kidneys (d) are primarily affected by systemic toxins or heavy metals, not typically by the inhalation of NO2.
- Heart (b) can be indirectly affected by severe respiratory failure, but the primary and direct site of NO2-induced pathology is the respiratory system (Lungs).
The survey carried out to fix the boundary of a building site is -
A)
Engineering survey
B)
Topographic survey
C)
Cadastral survey
D)
EDM survey
The correct answer is Cadastral survey. Here is the detailed breakdown:
1. **Cadastral Survey**: This type of survey is specifically conducted to establish and define legal property boundaries, land ownership, and the limits of a plot or building site. It is used to prepare maps for land records and taxation purposes.
2. **Why other options are incorrect**:
- **Engineering Survey**: This is a broad category that includes surveys for the design and execution of engineering projects (like roads, dams, or railways). While fixing a boundary is part of the initial phase, the specific term for boundary definition is 'cadastral'.
- **Topographic Survey**: This survey is used to determine the natural and man-made features of the terrain, such as contours, hills, rivers, and existing structures. It focuses on the 'shape' of the land rather than legal boundaries.
- **EDM Survey**: EDM (Electronic Distance Measurement) is a *method* or a *tool* used to measure distances electronically. It is not a 'type' of survey based on the purpose of the work, but rather a technique used within various types of surveys (including cadastral or topographic).
For a flexible pavement, the thickness of a sub-base course ranges between -
A)
100-200 mm
B)
100-300 mm
C)
50-100 mm
D)
150- 300mm
In flexible pavement design, the pavement is composed of several layers: the surface course, the base course, the sub-base course, and the subgrade. The sub-base course (also known as the granular sub-base) serves as a drainage layer and distributes the load from the base course to the subgrade. According to standard highway engineering specifications (such as IRC - Indian Roads Congress), the thickness of the sub-base course typically ranges from 150 mm to 300 mm, depending on the strength of the subgrade soil and the expected traffic load.
- Option (a) 100-200 mm is generally too thin for a standard sub-base in heavy-duty pavements.
- Option (b) 100-300 mm is a broad range, but the lower limit is typically higher than 100 mm for structural stability.
- Option (c) 50-100 mm is more characteristic of a surface wearing course or a very thin base layer, not a sub-base.
- Option (d) 150-300 mm aligns with the standard engineering practice for providing a stable foundation for the base course.
A high strength bolt may be used for -
A)
Slip resistant connection
B)
Bearing type connection
C)
Shear connection
D)
Both (a) & (b)
High Strength Friction Grip (HSFG) bolts are specialized fasteners used in steel structures. They can be utilized in two primary types of connections:
1. **Slip-Resistant (Friction-Grip) Connections**: In these connections, the bolts are tightened to a very high tension, creating a massive clamping force between the connected plates. This force generates friction between the surfaces, which resists the applied load. The load is transferred via friction rather than shear or bearing. This is ideal for structures subject to vibration or fatigue.
2. **Bearing-Type Connections**: High strength bolts can also be used in a standard bearing capacity mode. In this case, the bolt is not necessarily pre-tensioned to create friction; instead, the load is transferred through the shear resistance of the bolt shank and the bearing pressure against the sides of the holes in the plates.
Since high strength bolts are versatile and can be designed for either friction-grip (slip-resistant) or bearing-type behavior depending on the design requirements, both options (a) and (b) are correct.
The following tools can be used to generate the project schedule:
A)
Microsoft Excel
B)
Microsoft Project
C)
Primavera
D)
All of these
Project scheduling involves creating a timeline for tasks, milestones, and resource allocation.
1. **Microsoft Project**: This is a dedicated project management software specifically designed for scheduling, Gantt charts, resource leveling, and critical path analysis. It is an industry standard for this purpose.
2. **Primavera (P6)**: This is a high-end, professional project management tool used primarily in large-scale construction and engineering projects. It is highly specialized for complex scheduling and portfolio management.
3. **Microsoft Excel**: While not a dedicated project management tool, Excel is widely used to generate project schedules through the creation of manual Gantt charts, task lists, and timelines using its spreadsheet and charting capabilities.
Since all three tools are capable of being used to generate a project schedule, the correct option is 'All of these'.
Identify the word that is most opposite in meaning to “Mendacious”: His mendacious nature made it difficult to trust anything he said.
A)
Untruthful
B)
Honest
C)
Sincere
D)
Deceitful
Step 1: Analyze the target word. 'Mendacious' is an adjective derived from the Latin 'mendax' (lying). It means not telling the truth; lying or habitually dishonest. In the context of the sentence ('His mendacious nature made it difficult to trust anything he said'), it clearly refers to a lack of truthfulness.
Step 2: Identify the requirement. The question asks for the word 'most opposite in meaning' (the antonym).
Step 3: Evaluate the options:
- (a) Untruthful: This is a synonym of mendacious, not an antonym.
- (b) Honest: This means free of deceit and untruthfulness; truthful. This is the direct opposite of mendacious.
- (c) Sincere: While sincerity involves honesty, it specifically refers to the absence of pretense or hypocrisy. 'Honest' is a more precise and direct antonym for the act of lying (mendacity).
- (d) Deceitful: This is a synonym of mendacious.
Step 4: Conclusion. Since 'mendacious' means lying, the most accurate opposite is 'honest'.
Choose the correct word that best completes the sentence: The professor’s explanation was so __________ that even the most attentive students struggled to grasp the concept.
A)
Perspicuous
B)
Obfuscating
C)
Lucid
D)
Articulate
The sentence contains a contrast indicator: 'even the most attentive students struggled to grasp the concept.' This implies that the professor's explanation was unclear, confusing, or difficult to understand.
1. **Obfuscating (Correct):** To obfuscate means to render obscure, unclear, or unintelligible. If an explanation is obfuscating, it makes the subject harder to understand, which aligns perfectly with the students' struggle.
2. **Perspicuous (Incorrect):** This means clearly expressed and easily understood. If the explanation were perspicuous, the students would not have struggled.
3. **Lucid (Incorrect):** This means expressed clearly; easy to understand. Like 'perspicuous,' this contradicts the context of the sentence.
4. **Articulate (Incorrect):** This means having or showing the ability to speak fluently and coherently. An articulate professor would typically be easy to understand, making this option incorrect in this context.
In the __________ mean depth is to be calculated first by averaging the depths of two consecutive sections.
A)
Trapezoidal formula
B)
Mid - Section formula
C)
Prismoidal formula
D)
Simpson’s rule
In the context of earthwork calculations for estimating and costing in Civil Engineering, there are three primary methods used to calculate volume: the Mid-Section formula, the Trapezoidal formula, and the Prismoidal formula.
1. **Mid-Section Formula**: In this method, the volume is calculated by taking the area of a section midway between two consecutive sections. The depth (or area) at this mid-section is calculated as the average of the depths (or areas) of the two consecutive end sections. Specifically, the mean depth is calculated first to find the mid-sectional area, which is then multiplied by the distance between the sections.
2. **Trapezoidal Formula (Average End Area Method)**: This method calculates the volume by taking the average of the areas of two consecutive end sections and multiplying it by the distance between them. It does not calculate a 'mean depth' for a mid-section; it averages the final areas.
3. **Prismoidal Formula**: This is the most accurate method. It uses the areas of the two end sections and the area of the mid-section (calculated based on the average of the linear dimensions, not just a simple average of depths). The formula is V = (L/6) * [A1 + A2 + 4Am].
4. **Simpson's Rule**: This is essentially the mathematical basis for the Prismoidal formula and is used for calculating areas or volumes under curves, but the specific terminology of 'calculating mean depth first' refers to the Mid-Section approach in earthwork estimation.
If B is the width of formation, d is the height of the embankment, side slope S : 1, for a highway with no transverse slope, the area of cross section is -
A)
B+d+S8d
B)
Bd +Sd²
C)
B+d
D)
5 (Bd + Sd*)
To find the area of the cross-section of a highway embankment with no transverse slope (flat top), we treat the cross-section as a trapezoid.
1. **Given Parameters:**
- Width of formation (top width) = B
- Height of embankment = d
- Side slope = S : 1 (Horizontal : Vertical). This means for every 1 unit of height, the horizontal distance increases by S units.
2. **Calculating the Bottom Width:**
Since there are two side slopes, the total width at the base is the top width plus the horizontal projection of the slopes on both sides.
Bottom Width = B + 2 * (S * d)
3. **Calculating the Area of a Trapezoid:**
The area (A) of a trapezoid is given by the formula:
A = [(Top Width + Bottom Width) / 2] * Height
A = [(B + (B + 2Sd)) / 2] * d
A = [(2B + 2Sd) / 2] * d
A = (B + Sd) * d
A = Bd + Sd²
Comparing this result to the options provided:
- Option (a) is mathematically incorrect.
- Option (b) matches our derivation: Bd + Sd².
- Option (c) is incorrect as it ignores the geometry of the embankment.
- Option (d) is incorrect and contains typographical errors (Sd*).
Scrap value =
A)
Cost of asset - Useful life
B)
Cost of asset - (D x Useful life)
C)
Cost of asset + (D x Useful life)
D)
Depreciation
In valuation and accounting, Scrap Value (also known as Salvage Value) is the estimated value of an asset at the end of its useful life. Using the Straight-Line Method of depreciation, the total depreciation over the life of the asset is calculated as the annual depreciation amount (D) multiplied by the useful life of the asset. Therefore, the Scrap Value is the original cost of the asset minus the total accumulated depreciation.
Formula: Scrap Value = Original Cost - (Annual Depreciation × Useful Life).
Analysis of options:
- Option (a) is incorrect because you cannot subtract 'years' (life) from 'currency' (cost).
- Option (b) is correct as it represents the original cost minus total depreciation.
- Option (c) is incorrect because adding depreciation would increase the value of the asset over time, which contradicts the concept of wear and tear.
- Option (d) is incorrect because scrap value is the remaining value, not the depreciation amount itself.
Find the next number in the series: 1, 2, 6, 24, 120, ?
A)
240
B)
360
C)
720
D)
1440
The given series is 1, 2, 6, 24, 120, ?. To find the pattern, we examine the relationship between consecutive terms:
1. The first term is 1.
2. The second term is 1 × 2 = 2.
3. The third term is 2 × 3 = 6.
4. The fourth term is 6 × 4 = 24.
5. The fifth term is 24 × 5 = 120.
This is a factorial series where the n-th term is n! (n factorial).
- 1! = 1
- 2! = 2
- 3! = 6
- 4! = 24
- 5! = 120
Following this pattern, the next term (the 6th term) must be 120 × 6 (or 6!):
120 × 6 = 720.
Comparing this to the options:
- a. 240 (Incorrect: 120 × 2)
- b. 360 (Incorrect: 120 × 3)
- c. 720 (Correct: 120 × 6)
- d. 1440 (Incorrect: 120 × 12)
The basic principle of surveying is working from -
A)
Part to whole
B)
Whole to part
C)
Lower to higher level
D)
Higher to lower level
The fundamental principle of surveying is to work from the 'whole to the part'. This means that a large area is first covered by establishing a few main control points with high precision (the 'whole'). Once these primary control points are fixed, the area is divided into smaller sections, and detailed surveying is carried out within these sections (the 'part').
Reasoning for this approach:
1. Prevention of Error Accumulation: If surveying were done from 'part to whole', small errors made in the initial measurements would accumulate and multiply as the survey expanded, leading to a significant discrepancy in the final boundary.
2. Error Localization: By working from whole to part, any errors made during the detailed filling-in of the 'parts' are localized and contained within the established control framework, preventing them from affecting the overall accuracy of the survey.
Other options (a, c, d) are incorrect because they do not describe the methodology used to maintain geometric accuracy and prevent the propagation of cumulative errors in surveying.
The detention period in a septic tank is assumed -
A)
20 minutes
B)
15 minutes
C)
30 minutes
D)
40 minutes
In Environmental Engineering, the detention period (the time sewage remains in the tank) for a standard septic tank is typically designed to be between 24 to 48 hours (usually assumed as 24 hours for standard calculations). This duration is necessary to allow for the sedimentation of settleable solids and the anaerobic digestion of organic matter. The options provided (15, 20, 30, and 40 minutes) are far too short for a septic tank; such short durations are more characteristic of grit chambers or primary screening processes, not septic tanks. Therefore, based on standard engineering textbooks (such as S.K. Garg or B.C. Punmia), none of the provided options are technically correct.
Lump Sum contract is -
A)
Followed by many agencies
B)
Followed only by local bodies
C)
Followed only in private contracts
D)
Followed only by Govt. Departments
A Lump Sum contract is a type of construction contract where a single, fixed price is agreed upon for the entire scope of work.
1. **Analysis of Lump Sum Contracts**: In this arrangement, the contractor agrees to complete the project for a predetermined sum. This is common when the project scope and drawings are well-defined.
2. **Evaluating Option (a)**: Lump sum contracts are widely used across various sectors. They are employed by private developers, corporate entities, and even some government agencies for specific types of turnkey projects or small-scale works. Therefore, it is 'followed by many agencies'.
3. **Evaluating Options (b), (c), and (d)**: These options use the word 'only'.
- It is not followed *only* by local bodies (b).
- It is not followed *only* in private contracts (c), as some public works use this model for specific designs.
- It is not followed *only* by Govt. Departments (d); in fact, government departments typically prefer 'Item Rate' or 'Percentage Rate' contracts to ensure transparency and payment based on actual measurements (as per PWD manuals).
Since the contract type is versatile and used across different organizational structures, option (a) is the most accurate statement.
Which of the following is not a compression member?
A)
Strut
B)
Tie
C)
Principal rafter
D)
Boom
In structural engineering, members are classified based on the type of internal force they resist.
1. **Compression Member**: A structural element that resists axial loads that tend to shorten it (pushing together). Examples include struts, columns, and booms of a crane.
2. **Tension Member**: A structural element that resists axial loads that tend to elongate it (pulling apart). A 'Tie' is the quintessential example of a tension member, used to hold two parts of a structure together to prevent them from spreading.
Evaluating the options:
- **Strut (a)**: By definition, a strut is a compression member used to support a load.
- **Tie (b)**: A tie is designed specifically to resist tension. Therefore, it is NOT a compression member.
- **Principal rafter (c)**: In a roof truss, the principal rafter primarily carries the roof load and is subjected to compression (though it may experience bending).
- **Boom (d)**: In cranes or derricks, the boom is the main structural arm that supports the load and is primarily a compression member.
Therefore, the 'Tie' is the only member listed that is not a compression member.
Obsolescence refers to the decline in the useful life of an asset because of one of the factors -
A)
Technological advancement
B)
Accidents
C)
Profit or losses
D)
Replacement of assets
In the context of valuation and depreciation, 'Obsolescence' is a specific type of depreciation that occurs when an asset becomes outdated or no longer useful, even if it is still in good physical condition. This typically happens due to: 1. Technological advancement (new, more efficient machinery or methods making the old ones obsolete), 2. Changes in market demand, or 3. Changes in legislation/laws.
Analyzing the options:
- (a) Technological advancement: This is the primary driver of obsolescence. When a newer technology is introduced, the existing asset loses value because it is less efficient or costly to operate.
- (b) Accidents: This causes 'Physical Depreciation' or 'Sudden Damage,' not obsolescence.
- (c) Profit or losses: These are financial outcomes of operating the asset, not a cause for the decline in the asset's useful life.
- (d) Replacement of assets: This is the action taken *because* of depreciation or obsolescence, not the cause of the obsolescence itself.
The shortest distance between the point of commencement and the point of tangency of a Circular curve is known as -
A)
Long chord
B)
Normal chord
C)
Sub - chord
D)
Half- chord
In surveying, specifically in the design of circular curves used for roads or railways:
1. The 'Point of Commencement' (PC) is the point where the straight line (tangent) ends and the circular curve begins.
2. The 'Point of Tangency' (PT) is the point where the circular curve ends and the next straight line (tangent) begins.
3. The shortest distance between any two points is a straight line. Therefore, the straight line connecting the PC and the PT is the chord of the arc.
4. Because this chord spans the entire length of the curve from start to finish, it is specifically termed the 'Long Chord'.
Why other options are incorrect:
- Normal chord: This is not a standard term for the distance between PC and PT.
- Sub-chord: These are smaller chords used to divide the long chord into smaller segments for setting out the curve on the ground.
- Half-chord: This refers to half the length of the long chord, often used in the 'bisecting' method of setting out curves.