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1
GATE Civil 2024 Set 2 | Question: 55
Differential levelling is carried out from point $\text{P(B M}:+200.000 \mathrm{~m})$ to point $\text{R}$. The readings taken are given in the table. Points Staff readings (m) Remarks Back Sight Fore Sight P $(-) 2.050$ BM: $+200.000 \mathrm{~m}$ ... Level (in meters) of the point $\mathrm{R}$ is $\_\_\_\_\_\_\_\_$ (rounded off to $3$ decimal places).
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GATE Civil 2024 Set 2 | Question: 54
A child walks on a level surface from point $\text{P}$ to point $\text{Q}$ at a bearing of $30^{\circ}$, from point $\mathrm{Q}$ to point $\mathrm{R}$ at a bearing of $90^{\circ}$ ... degrees, the straight-line path length $\text{RP}$ (in meters) is $\_\_\_\_\_\_\_$ (rounded off to the nearest integer).
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GATE Civil 2024 Set 2 | Question: 53
A vertical summit curve on a freight corridor is formed at the intersection of two gradients, $+3.0 \%$ and $-5.0 \%$. Assume the following: Only large-sized trucks are allowed on this corridor Design speed $=80 \mathrm{kmph}$ Eye height of truck drivers ... ) to accommodate the stopping sight distance is $\_\_\_\_\_\_\_\_\_$ (rounded off to $2$ decimal places).
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GATE Civil 2024 Set 2 | Question: 52
A horizontal curve of radius $1080 \mathrm{~m}$ (with transition curves on either side) in a Broad Gauge railway track is designed and constructed for an equilibrium speed of $70 \mathrm{kmph}$. However, a few years after construction, the Railway Authorities ... the express trains running on this track is $\_\_\_\_\_\_\_$ (rounded off to the nearest integer).
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GATE Civil 2024 Set 2 | Question: 51
An organic waste is represented as $\mathrm{C}_{240} \mathrm{O}_{200} \mathrm{H}_{180} \mathrm{~N}_{5} \mathrm{~S}$. (Atomic weights: $\mathrm{S}-32, \mathrm{H}-1, \mathrm{C}-12, \mathrm{O}-16, \mathrm{~N}-14$ ... $\mathrm{kg}$ of this waste is $\_\_\_\_\_\_\_$ (rounded off to $1$ decimal place).
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GATE Civil 2024 Set 2 | Question: 50
A circular settling tank is to be designed for primary treatment of sewage at a flow rate of $10$ million liters/day. Assume a detention period of $2.0$ hours and surface loading rate of $40000$ liters $/ \mathrm{m}^{2} /$ day. The height (in meters) of the water column in the tank is $\_\_\_\_\_\_\_$ (rounded off to $2$ decimal places).
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GATE Civil 2024 Set 2 | Question: 49
A rectangular channel is $4.0 \mathrm{~m}$ wide and carries a discharge of $2.0 \mathrm{~m}^{3} / \mathrm{s}$ with a depth of $0.4 \mathrm{~m}$. The channel transitions to a maximum width contraction at a downstream location, without influencing the ... . The width (in meters) at the maximum contraction is $\_\_\_\_\_\_\_$ (rounded off to $2$ decimal places).
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GATE Civil 2024 Set 2 | Question: 48
A $2 \mathrm{~m} \times 1.5 \mathrm{~m}$ tank of $6 \mathrm{~m}$ height is provided with a $100 \mathrm{~mm}$ diameter orifice at the center of its base. The orifice is plugged and the tank is filled up to $5 \mathrm{~m}$ height. Consider the ... to $3.5 \mathrm{~m}$ under free discharge condition is $\_\_\_\_\_\_\_\_$ (rounded off to $2$ decimal places).
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GATE Civil 2024 Set 2 | Question: 47
A $500 \mathrm{~m}$ long water distribution pipeline $\text{P}$ with diameter $1.0 \mathrm{~m}$, is used to convey $0.1 \mathrm{~m}^{3} / \mathrm{s}$ of flow. A new pipeline $\text{Q}$ ... respectively. The diameter of the pipeline $\text{Q}$ (in meters) is $\_\_\_\_\_\_$ (rounded off to $2$ decimal places).
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GATE Civil 2024 Set 2 | Question: 46
A storm with a recorded precipitation of $11.0 \mathrm{~cm}$, as shown in the table, produced a direct run-off of $6.0 \mathrm{~cm}$. Time from start (hours) $1$ $2$ $3$ $4$ $5$ $6$ $7$ $8$ Recorded cumulative precipitation$(\mathrm{cm})$ $0.5$ ... $\_\_\_\_\_\_\_\_$ $\mathrm{cm} / \mathrm{hr}$ (rounded off to $2$ decimal places).
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GATE Civil 2024 Set 2 | Question: 45
A drained triaxial test was conducted on a saturated sand specimen using a stress-path triaxial testing system. The specimen failed when the axial stress reached a value of $100 \mathrm{kN} / \mathrm{m}^{2}$ ... (in degrees) with respect to horizontal is $\_\_\_\_\_\_\_\_$ (rounded off to the nearest integer).
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GATE Civil 2024 Set 2 | Question: 44
The in-situ percentage of voids of a sand deposit is $50 \%$. The maximum and minimum densities of sand determined from the laboratory tests are $1.8 \mathrm{~g} / \mathrm{cm}^{3}$ and $1.3 \mathrm{~g} / \mathrm{cm}^{3}$, respectively. Assume the ... $\_\_\_\_\_\_\_$ (rounded off to $2$ decimal places).
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GATE Civil 2024 Set 2 | Question: 43
A homogeneous earth dam has a maximum water head difference of $15 \mathrm{~m}$ between the upstream and downstream sides. A flownet was drawn with the number of potential drops as 10 and the average length of the element as $3 \mathrm{~m}$. Specific gravity of the ... failure, void ratio of the soil is $\_\_\_\_\_\_\_\_\_$ (rounded off to $2$ decimal places).
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GATE Civil 2024 Set 2 | Question: 42
The table shows the activities and their durations and dependencies in a project. \begin{array}{|c|c|c|} \hline \text{Activity} & \text{Duration (Days)} & \text{Depends on} \\ \hline \text{A} & 8 & - \\ \hline \text{B} & 4 & \text{ ... , K} \\ \hline \end{array} The total duration (in days) of the project is $\_\_\_\_\_\_\_$ (in integer).
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GATE Civil 2024 Set 2 | Question: 41
A concrete column section of size $300 \mathrm{~mm} \times 500 \mathrm{~mm}$ as shown in the figure is subjected to both axial compression and bending along the major axis. The depth of the neutral axis $\left(x_{u}\right)$ is $1.1$ times the depth of the ... tension in the section, is $\_\_\_\_\_\_\_$ $\times 10^{-3}$ (rounded off to $2$ decimal places).
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GATE Civil 2024 Set 2 | Question: 40
The horizontal beam $\mathrm{PQRS}$ shown in the figure has a fixed support at point $\mathrm{P}$, an internal hinge at point $Q$, and a pin support at point $R$. A concentrated vertically downward load $(V)$ of $10 \mathrm{kN}$ can act at any point over the ... $\mathrm{P}$ due to $V$ is $\_\_\_\_\_\_$ (in integer).
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GATE Civil 2024 Set 2 | Question: 39
For the $6 \mathrm{~m}$ long horizontal cantilever beam $\mathrm{PQR}$ shown in the figure, $\mathrm{Q}$ is the midpoint. Segment $\mathrm{PQ}$ of the beam has flexural rigidity $\mathrm{EI}=2 \times 10^{5} \mathrm{kN. \textrm {m } ^ { 2 }}$ whereas the ... (in $\mathrm{mm}$ ) at point $\mathrm{Q}$ is $\_\_\_\_\_\_\_$ (rounded off to $3$ decimal places).
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GATE Civil 2024 Set 2 | Question: 38
Consider two matrices $\mathbf{A}=\left[\begin{array}{lll}2 & 1 & 4 \\ 1 & 0 & 3\end{array}\right]$ and $\mathbf{B}=\left[\begin{array}{cc}-1 & 0 \\ 2 & 3 \\ 1 & 4\end{array}\right]$. The determinant of the matrix $\mathbf{AB}$ is $\_\_\_\_\_\_\_$ (in integer).
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GATE Civil 2024 Set 2 | Question: 37
The expression for computing the effective interest rate $\left(i_{\text {eff }}\right)$ using continuous compounding for a nominal interest rate of $5 \%$ is \[ i_{\text {eff }}=\lim _{m \rightarrow \infty}\left(1+\frac{0.05}{m}\right)^{m}-1 \] The effective interest rate (in percentage) is $\_\_\_\_\_\_$ (rounded off to $2$ decimal places).
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GATE Civil 2024 Set 2 | Question: 36
In the context of pavement material characterization, the CORRECT statement(s) is/are The load penetration curve of $\text{CBR}$ test may need origin correction due to the non-vertical penetrating plunger of the loading machine. The toughness and hardness of ... total volume of air voids $\left(V_{v}\right)$ and total volume of bitumen $\left(V_{b}\right)$.
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GATE Civil 2024 Set 2 | Question: 35
Consider the statements $\text{P, Q,}$ and $\text{R}$. $\text{P}$: Compacted fine-grained soils with flocculated structure have isotropic permeability. $\text{Q}$ ... is TRUE $\mathrm{P}$ is TRUE and $\mathrm{R}$ is FALSE Both $\mathrm{Q}$ and $\mathrm{R}$ are FALSE
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GATE Civil 2024 Set 2 | Question: 34
Three vectors $\overrightarrow{\mathrm{p}}, \overrightarrow{\mathrm{q}}$, and $\overrightarrow{\mathrm{r}}$ are given as \[ \begin{array}{c} \overrightarrow{\mathrm{p}}=\hat{\imath}+\hat{\jmath}+\hat{k} \\ \overrightarrow{\mathrm ...
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GATE Civil 2024 Set 2 | Question: 33
The consolidated data of a spot speed study for a certain stretch of a highway is given in the table. Speed range $(\mathrm{kmph})$ Number of observations $0-10$ $7$ $10-20$ $31$ $20-30$ $76$ $30-40$ $129$ $40-50$ $104$ $50-60$ $78$ ... $13$ $90-100$ $9$ The "upper speed limit" (in $\mathrm{kmph}$) for the traffic sign is $50$ $55$ $65$ $70$
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GATE Civil 2024 Set 2 | Question: 32
A hypothetical multimedia filter, consisting of anthracite particles (specific gravity: $1.50$), silica sand (specific gravity: $2.60$), and ilmenite sand (specific gravity: $4.20$), is to be designed for treating water/wastewater. After backwashing, the ... than $0.64 \mathrm{~mm}$ and diameter of ilmenite particles is slightly less than $0.10 \mathrm{~mm}$.
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GATE Civil 2024 Set 2 | Question: 31
A round-bottom triangular lined canal is to be laid at a slope of $1$ in $1500$, to carry a discharge of $25 \mathrm{~m}^{3} / \mathrm{s}$. The side slopes of the canal cross-section are to be kept at $1.25 \mathrm{H}: 1 \mathrm{~V}$. If Manning's roughness coefficient is ... be in the range of $2.39$ to $2.42$ $1.94$ to $1.97$ $2.24$ to $2.27$ $2.61$ to $2.64$
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GATE Civil 2024 Set 2 | Question: 30
Consider the statements $\mathrm{P}$ and $\mathrm{Q}$ related to the analysis/design of retaining walls. $\mathrm{P}$: When a rough retaining wall moves toward the backfill, the wall friction force/resistance mobilizes in upward direction along the wall. $\mathrm{Q}$ ... Both $\mathrm{P}$ and $\mathrm{Q}$ are FALSE $\mathrm{P}$ is FALSE and $\mathrm{Q}$ is TRUE
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GATE Civil 2024 Set 2 | Question: 29
A homogeneous, prismatic, linearly elastic steel bar fixed at both the ends has a slenderness ratio $(l / r)$ of $105$, where $l$ is the bar length and $r$ ... $298^{\circ} \mathrm{C}$ $85^{\circ} \mathrm{C}$ $400^{\circ} \mathrm{C}$ $250^{\circ} \mathrm{C}$
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GATE Civil 2024 Set 2 | Question: 28
A critical activity in a project is estimated to take $15$ days to complete at a cost of Rs. $30,000$. The activity can be expedited to complete in $12$ days by spending a total amount of Rs. $54,000$. Consider the statements $\text{P}$ ... $\mathrm{P}$ and $\mathrm{Q}$ are FALSE $\mathrm{P}$ is FALSE and $\mathrm{Q}$ is TRUE
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GATE Civil 2024 Set 2 | Question: 27
A linearly elastic beam of length $2 l$ with flexural rigidity $E I$ has negligible mass. A massless spring with a spring constant $k$ and a rigid block of mass $m$ ... $\sqrt{\frac{48 E I k}{\left(k l^{3}+48 E I\right) m}}$
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GATE Civil 2024 Set 2 | Question: 26
In a sample of $100$ heart patients, each patient has $80 \%$ chance of having a heart attack without medicine $\mathrm{X}$. It is clinically known that medicine $\mathrm{X}$ reduces the probability of having a heart attack by $50 \%$. Medicine $\text{X}$ is ... $\mathrm{X}$ and has a heart attack is $40 \%$ $60 \%$ $20 \%$ $30 \%$
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GATE Civil 2024 Set 2 | Question: 25
A $2 \mathrm{~m}$ wide rectangular channel is carrying a discharge of $30 \mathrm{~m}^{3} / \mathrm{s}$ at a bed slope of $1$ in $300$. Assuming the energy correction factor as $1.1$ and acceleration due to gravity as $10 \mathrm{~m} / \mathrm{s}^{2}$, the critical depth of flow (in meters) is $\_\_\_\_\_\_\_$ (rounded off to $2$ decimal places).
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32
GATE Civil 2024 Set 2 | Question: 24
A reinforced concrete pile of $10 \mathrm{~m}$ length and $0.7 \mathrm{~m}$ diameter is embedded in a saturated pure clay with unit cohesion of $50 \mathrm{kPa}$. If the adhesion factor is $0.5$, the net ultimate uplift pullout capacity (in $\mathrm{kN}$ ) of the pile is $\_\_\_\_\_\_\_$ (rounded off to the nearest integer).
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33
GATE Civil 2024 Set 2 | Question: 23
The steel angle section shown in the figure has elastic section modulus of $150.92 \mathrm{~cm}^{3}$ about the horizontal $\mathrm{X}-\mathrm{X}$ axis, which passes through the centroid of the section. The shape factor of the section is $\_\_\_\_\_\_\_$ (rounded off to $2$ decimal places).
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GATE Civil 2024 Set 2 | Question: 22
To finalize the direction of a survey, four surveyors set up a theodolite at a station $\mathrm{P}$ and performed all the temporary adjustments. From the station $\mathrm{P}$, each of the surveyors observed the bearing to a tower located at station $Q$ with the same ... $30^{\circ} 30^{\prime} 00^{\prime \prime}$ $30^{\circ} 31^{\prime} 20^{\prime \prime}$
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GATE Civil 2024 Set 2 | Question: 21
What is the CORRECT match between the survey instruments/parts of instruments shown in the table and the operations carried out with them? \begin{array}{|l|l|} \hline \text{Instruments/Parts of instruments} & \text{Operations} \\ \hline \text{P - Bubble tube} & \text{i - ... $\text{P-i, Q-iii, R-ii, S-iv}$ $\text{P-iii, Q-iv, R-i, S-ii}$
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GATE Civil 2024 Set 2 | Question: 20
For a reconnaissance survey, it is necessary to obtain vertical aerial photographs of a terrain at an average scale of $1: 13000$ using a camera. If the permissible flying height is assumed as $3000 \mathrm{~m}$ above a datum and the average terrain ... above the datum, the required focal length (in $\mathrm{mm}$ ) of the camera is $100$ $150$ $125$ $200$
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37
GATE Civil 2024 Set 2 | Question: 19
Various stresses in jointed plain concrete pavement with slab size of $3.5 \mathrm{~m} \times 4.5 \mathrm{~m}$ are denoted as follows: Wheel load stress at interior $=S_{w l}^{i}$ Wheel load stress at edge $=S_{w l}^{e}$ Wheel load stress at corner $=S_{w l}^{c}$ Warping stress at ... $S_{w l}^{e}+S_{t}^{e}-S_{f}$ $S_{w l}^{c}+S_{t}^{c}+S_{f}$
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GATE Civil 2024 Set 2 | Question: 18
In general, the outer edge is raised above the inner edge in horizontal curves for Highways, Railways, and Taxiways Highways and Railways only Railways and Taxiways only Highways only
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GATE Civil 2024 Set 2 | Question: 17
The longitudinal sections of a runway have gradients as shown in the table. \begin{array}{|c|c|} \hline \text{End to end for sections of runway (m)} & \text{Gradient} (\%) \\ \hline 0 \text{to} 200 & +1.0 \\ \hline 200 \text{to} 600 & -1.0 \\ ... as $100 \mathrm{~m}$. The effective gradient of the runway is $0.02 \%$ $0.35 \%$ $0.28 \%$ $0.18 \%$
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GATE Civil 2024 Set 2 | Question: 16
Which one of the following products is NOT obtained in anaerobic decomposition of glucose? $\mathrm{CO}_{2}$ $\mathrm{CH}_{4}$ $\mathrm{H}_{2} \mathrm{~S}$ $\mathrm{H}_{2} \mathrm{O}$
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GATE Civil 2024 Set 2 | Question: 15
What is the CORRECT match between the air pollutants and treatment techniques given in the table? \begin{array}{|l|l|} \hline \text{Air pollutants} & \text{Treatment techniques} \\ \hline \mathrm{P}-\mathrm{NO}_{2} & \text{i - Flaring} \\ \mathrm{Q}-\mathrm{SO}_{2} & ... $\text{P-ii, Q-iii, R-iv, S-i}$ $\text{P-iv, Q-iii, R-i, S-ii}$
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GATE Civil 2024 Set 2 | Question: 14
The following figure shows a plot between shear stress and velocity gradient for materials/fluids $\text{P, Q, R, S}$, and $\text{T}$. Which one of the following options is CORRECT? $\mathrm{P} \rightarrow$ ... ; $\mathrm{Q} \rightarrow$ Newtonian fluid $\mathrm{R} \rightarrow$ Ideal Bingham plastic; $\mathrm{T} \rightarrow$ Ideal Fluid
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GATE Civil 2024 Set 2 | Question: 13
Which one of the following saturated fine-grained soils can attain a negative Skempton's pore pressure coefficient $\text{(A)}$? Quick clays Normally-consolidated clays Lightly-consolidated clays Over-consolidated clays
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GATE Civil 2024 Set 2 | Question: 12
The contact pressure distribution shown in the figure belongs to a rigid footing resting on a cohesionless soil. rigid footing resting on a cohesive soil. flexible footing resting on a cohesionless soil. flexible footing resting on a cohesive soil.
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GATE Civil 2024 Set 2 | Question: 11
The structural design method that DOES NOT take into account the safety factors on the design loads is working stress method. load factor method. ultimate load method. limit state method.
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GATE Civil 2024 Set 2 | Question: 10
A simply supported, uniformly loaded, two-way slab panel is torsionally unrestrained. The effective span lengths along the short span $\text{(x)}$ and long span $\text{(y)}$ directions of the panel are $l_{\mathrm{x}}$ and $l_{\mathrm{y}}$, respectively. The design ... $\left(l_{\mathrm{y}} / l_{\mathrm{x}}\right)^{2}$
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47
GATE Civil 2024 Set 2 | Question: 9
Consider the following data for a project of $300$ days duration. Budgeted Cost of Work Scheduled (BCWS) = Rs. $200$ Budgeted Cost of Work Performed (BCWP) = Rs. $150$ Actual Cost of Work Performed (ACWP) = Rs. $190$ The 'schedule variance' for the project is (-)Rs. $50$ (-)$50$ days (+)Rs. $50$ (+)$50$ days
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48
GATE Civil 2024 Set 2 | Question: 8
For a thin-walled section shown in the figure, points $\text{P, Q}$, and $\text{R}$ are located on the major bending axis $\mathrm{X}-\mathrm{X}$ of the section. Point $\mathrm{Q}$ is located on the web whereas point $\text{S}$ is ... flange of the section. Qualitatively, the shear center of the section lies at $\text{P}$ $\text{Q}$ $\text{R}$ $\text{S}$
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49
GATE Civil 2024 Set 2 | Question: 7
Consider the statements $\text{P}$ and $\text{Q}$. $\text{P}$: In a Pure project organization, the project manager maintains complete authority and has maximum control over the project. $\text{Q}$: A Matrix organization structure facilitates quick response to ... FALSE Both $\text{P}$ and $\text{Q}$ are FALSE $\mathrm{P}$ is FALSE and $\mathrm{Q}$ is TRUE
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GATE Civil 2024 Set 2 | Question: 6
A $3 \mathrm{~m}$ long, horizontal, rigid, uniform beam $\mathrm{PQ}$ has negligible mass. The beam is subjected to a $3 \mathrm{kN}$ concentrated vertically downward force at $1 \mathrm{~m}$ from $\mathrm{P}$, as shown in the figure. The beam is resting on ... (in $\mathrm{kN} / \mathrm{m}$ ) for the spring at the end $\mathrm{Q}$ is $150$ $100$ $50$ $200$
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