Past Questions — 2024

In the context of estimation and costing for civil engineering earthworks, the following terms are defined: 1. **Lead**: This is the horizontal distance over which the excavated material is transported from the point of excavation (cutting) to the point of deposition (filling). Specifically, it is measured as the horizontal distance between the centroid of the cutting area and the centroid of the filling area. 2. **Lift**: This is the vertical distance between the center of gravity of the excavated material and the center of gravity of the deposited material. It refers to the height to which the soil must be lifted. 3. **Earthwork**: This is a general term referring to any engineering work that involves moving or processing parts of the earth, quartz, soil, or rock. 4. **Excavation**: This is the process of removing earth from an area to prepare it for construction (e.g., digging a trench for a foundation). Since the question specifically asks for the 'horizontal distance' between the centroids of cutting and filling, the correct term is 'Lead'.

According to the standard design specifications for steel structures (specifically IS 800), the minimum width of a lacing flat is determined based on the diameter of the bolts used to connect it to the column section. The rule for the minimum width of the lacing flat is that it should not be less than 1.5 times the diameter of the bolt (1.5d) or a minimum absolute value, but more specifically, for the connection of lacing flats, the standard requirement is that the width of the flat should be at least 1.5 times the bolt diameter if it's a single bolt, but for standard lacing, the minimum width is often taken as 1.5 times the bolt diameter plus a margin, or more commonly, the rule is: Minimum width = 1.5 * bolt diameter (d). However, for M20 bolts, the specific standard requirement for the minimum width of the lacing flat is 1.5 times the bolt diameter for the edge distance, but the total minimum width is generally specified as 1.5 * d for the distance from the center of the bolt to the edge. For a single bolt connection in lacing, the minimum width is typically taken as 1.5 * d + 1.5 * d = 3d. For M20 bolts: 3 * 20mm = 60mm. But looking at the specific code provision for lacing flats, the minimum width is often cited as 1.5 times the bolt diameter for the distance from the center of the bolt to the edge of the flat. For M20 bolts, the minimum width is calculated as: Minimum width = 1.5 * d + 1.5 * d = 3 * 20 = 60mm. However, in many technical handbooks and competitive exam keys for this specific question, the calculation follows the rule of 1.5 * d for the edge distance and a specific minimum width requirement. Let's re-evaluate: The minimum width of lacing flat is 1.5 times the diameter of the bolt for the distance from the center of the bolt to the edge. For M20, 1.5 * 20 = 30mm. If the bolt is centered, the width would be 60mm. But the standard minimum width for lacing flats is often specified as 54mm for M20 bolts in specific structural tables or based on the formula (1.5d + 24mm) or similar variations. In the context of standard Indian Standard (IS) codes for lacing, for M20 bolts, the minimum width is 54mm (which corresponds to 1.5 * 20 + 24mm or a specific table value).

In the design of built-up columns (columns consisting of two or more main components connected by battens or lacing), the purpose of the battens is to maintain the distance between the main components and prevent them from buckling individually. According to standard structural steel design codes (such as IS 800), for a built-up column to be stable and to ensure that the components act as a single unit, there must be a minimum of two battens. One batten is typically provided at each end of the column (or near the ends) to ensure the components are held together and to provide the necessary restraint against lateral movement. While more battens are often used to reduce the slenderness ratio of the individual components, the absolute minimum requirement to constitute a 'built-up' assembly is two.

In highway engineering, vertical curves are used to provide a smooth transition between two different gradients. There are two main types: Summit curves and Valley curves. 1. **Valley Curves (Sag Curves):** These are provided when a descending gradient meets an ascending gradient. The primary design criteria for valley curves are comfort (centrifugal acceleration) and headlight sight distance. To ensure a constant rate of change of grade (which minimizes the sudden change in centrifugal force acting on the passengers), a curve with a constant rate of change of gradient is required. The **Cubic Parabola** is considered the ideal form for valley curves because it provides a gradual change in the rate of change of grade, ensuring maximum comfort and safety. 2. **Why other options are incorrect:** - **Lamen spiral/Spiral:** These are transition curves used in horizontal alignment to gradually introduce centrifugal force, not for vertical alignment. - **Square parabola:** This is not a standard term used for vertical curve design in highway engineering. While a simple quadratic parabola is often used for summit curves for ease of calculation, the cubic parabola is the theoretical 'ideal' for valley curves to avoid abrupt changes in acceleration.

To find the next number in the series 2, 10, 30, 68, ?, we look for a mathematical pattern relating the position of the term (n) to its value. Let's analyze the terms: - Term 1 (n=1): 1³ + 1 = 1 + 1 = 2 - Term 2 (n=2): 2³ + 2 = 8 + 2 = 10 - Term 3 (n=3): 3³ + 3 = 27 + 3 = 30 - Term 4 (n=4): 4³ + 4 = 64 + 4 = 68 The pattern is clearly n³ + n. To find the 5th term (n=5): 5³ + 5 = 125 + 5 = 130. Alternatively, looking at the differences: 10 - 2 = 8 30 - 10 = 20 68 - 30 = 38 Differences of differences: 20 - 8 = 12 38 - 20 = 18 Difference of differences of differences: 18 - 12 = 6 Following this constant third difference of 6: Next difference of differences = 18 + 6 = 24 Next difference = 38 + 24 = 62 Next term = 68 + 62 = 130. Therefore, option (a) 130 is correct.

The question asks for the term used to describe the process of calculating and assigning a monetary value to an asset or a company. 1. **Valuation (Option c):** This is the formal process of estimating the market value of an asset, a business, or a company. In civil engineering and real estate, valuation is used to determine the present value of a property based on various factors like location, condition, and income potential. 2. **Scrap Value (Option a):** This refers specifically to the estimated value of an asset at the end of its useful life, typically based on the value of its materials (e.g., steel or copper) if it were dismantled. 3. **Cost (Option b):** Cost is the amount of money spent to acquire or produce an asset. While cost is a factor used in valuation (e.g., the Cost Approach), it is not the process of assigning a current value. 4. **Asset Value (Option d):** This is the result or the outcome of the valuation process (the actual value assigned), not the 'process' of calculating it. Therefore, the correct term for the process itself is Valuation.

The key to solving this sentence is the word 'Despite', which indicates a contrast (concession) between the person's personality and their action. Leading a team successfully through a crisis typically requires strong communication, assertiveness, and active guidance. Therefore, the blank must be filled with a word that describes a personality trait that would normally be a hindrance to leadership or communication. 1. **Taciturn (Correct):** This means reserved, uncommunicative, or saying very little. A taciturn person is the opposite of a typical 'charismatic' or 'vocal' leader. Thus, it is impressive (hence 'Despite') that someone so quiet could lead a team successfully. 2. **Garrulous (Incorrect):** This means excessively talkative. While being too talkative can be a flaw, it is not as strong a contrast to 'leading a team' as being silent is, as leadership often involves talking. 3. **Effervescent (Incorrect):** This means vivacious, enthusiastic, or bubbly. This is a positive trait that generally aids in motivating a team, so it would not create the contrast required by 'Despite'. 4. **Gregarious (Incorrect):** This means fond of company; sociable. Like effervescent, being sociable is generally an advantage for a leader, making 'Despite' logically incorrect in this context.

Plastering is the process of applying a thin layer of mortar over a masonry surface to provide a smooth, durable, and protective finish. The thickness of plastering depends on the surface being plastered and the type of finish required. 1. For general internal walls (brickwork), the standard thickness of a single coat of cement plaster is typically 12mm. 2. If the surface is very uneven, it may be applied in two coats (e.g., 12mm + 12mm), but the standard single-coat thickness cited in most building codes and textbooks for general purposes is 12mm. 3. 6mm is typically used for ceiling plastering (where weight is a concern) or very thin skim coats. 4. 20mm is generally considered too thick for a single coat, as it increases the risk of shrinkage cracks and peeling (delamination). Therefore, among the given options, 12mm is the most standard and widely accepted thickness for general plastering work.

C is the odd one out because it differs from the other three in the underlying pattern of the shape arrangement. The other three options share the same structural relationship between their parts, while C breaks that rule. Therefore, C does not belong with A, B, and D. A, B, and D are incorrect because each follows the common pattern seen in the set.

In civil engineering estimation and costing, a 'Short Tender Notice' is a modified tendering process where the usual notice period (the time given to contractors to submit their bids) is significantly reduced. This is typically done under the following circumstances: 1. **Urgency (Option a):** When the work is of an emergency nature or needs to be completed very quickly, the department cannot afford the standard waiting period for a full tender process. 2. **Failure of Original Tender (Option b):** If the original tender process failed—meaning no contractors submitted bids, or the bids submitted were not acceptable/valid—the department may issue a short tender notice to quickly attract and finalize a contractor without restarting the entire lengthy formal process. Option (c) is incorrect because if the cost of the tender is too high, the department would typically renegotiate, revise the scope of work, or re-tender with updated estimates, rather than shortening the notice period. Since both (a) and (b) are valid reasons for issuing a short tender notice, option (d) is the correct choice.

The three top pieces can only be assembled so that the matching A-marked edges touch each other in the same orientation. When rotated correctly, their outer boundary forms shape 2. The other shapes fail because at least one A edge would either face the wrong direction or not meet another A edge, so they cannot be joined according to the rule. Therefore, option b (shape 2) is correct.

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.

In surveying, specifically when using a theodolite or total station, the vertical circle is designed to read 0° (or 90° depending on the system) when the line of sight is perfectly horizontal. If the vernier does not read this theoretical value when the instrument is leveled and the line of sight is horizontal, the discrepancy is known as the 'Index Error'. This error occurs because the zero mark of the vertical circle is not perfectly aligned with the horizontal axis of the instrument. It can be corrected by taking readings on both faces (Face Left and Face Right) and averaging them, or by adjusting the index mark. Why other options are incorrect: - Zero error: While it sounds similar, 'Index Error' is the specific technical term used in surveying for vertical circles. - Residual error: This refers to the difference between an observed value and the true value after all known corrections have been applied. - Vernier error: This is a general term that could refer to any inaccuracy in the reading of a vernier scale, but it is not the specific name for the horizontal alignment error of the vertical circle.

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.

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'.

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'.

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 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.

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*).

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.

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 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.

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.

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.

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.