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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.

The structural design method that DOES NOT take into account the safety factors on the design loads isworking stress method.load factor method.ultimate load method.limit ...

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GATE Civil 2024 Set 2 | Question: 2
The statements $\mathrm{P}$ and $\mathrm{Q}$ are related to matrices $\mathbf{A}$ and $\mathbf{B}$, which are conformable for both addition and multiplication. $\text{P}$ ... $\mathrm{P}$ is FALSE and $\mathrm{Q}$ is TRUE Both $\mathrm{P}$ and $\mathrm{Q}$ are FALSE

The statements $\mathrm{P}$ and $\mathrm{Q}$ are related to matrices $\mathbf{A}$ and $\mathbf{B}$, which are conformable for both addition and multiplication...

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GATE Civil 2024 Set 2 | Question: 5
Consider two Ordinary Differential Equations $\text{(ODEs)}$: $\text{P}$: $\frac{d y}{d x}=\frac{x^{4}+3 x^{2} y^{2}+2 y^{4}}{x^{3} y}$ $\mathrm{Q}: \frac{d y}{d x}=\frac{-y^{2}}{x^{2}}$ Which one of the following options is ... $\mathrm{ODE}$. $\mathrm{P}$ is a nonhomogeneous $\mathrm{ODE}$ and $\mathrm{Q}$ is not an exact $\mathrm{ODE}$.

Consider two Ordinary Differential Equations $\text{(ODEs)}$:$\text{P}$: $\frac{d y}{d x}=\frac{x^{4}+3 x^{2} y^{2}+2 y^{4}}{x^{3} y}$$\mathrm{Q}: \frac{d y}{d x}=\frac{-...

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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.

The contact pressure distribution shown in the figure belongs to arigid footing resting on a cohesionless soil.rigid footing resting on a cohesive soil.flexible footing r...

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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 ...

Three vectors $\overrightarrow{\mathrm{p}}, \overrightarrow{\mathrm{q}}$, and $\overrightarrow{\mathrm{r}}$ are given as\[\begin{array}{c}\overrightarrow{\mathrm{p}}=\hat...

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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

Consider the statements $\text{P}$ and $\text{Q}$.$\text{P}$: In a Pure project organization, the project manager maintains complete authority and has maximum...

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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 $0.10 \mathrm{~mm}$.

A hypothetical multimedia filter, consisting of anthracite particles (specific gravity: $1.50$), silica sand (specific gravity: $2.60$), and ilmenite sand (specific gravi...

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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

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 backfil...

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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).

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 spee...

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10

GATE Civil 2024 Set 1 | Question: 11
The following table gives various components of Municipal Solid Waste (MSW) and a list of treatment/separation techniques. \begin{array}{|l|l|} \hline \text{Component of MSW} & \text{Treatment/separation technique} \\ \hline \text{P - Ferrous metals} & \text{i - Incineration} ... $\text{P-iii, Q-iv, R-ii, S-i}$ $\text{P-iv, Q-iii, R-i, S-ii}$

The following table gives various components of Municipal Solid Waste (MSW) and a list of treatment/separation techniques.\begin{array}{|l|l|}\hline \text{...

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11

GATE Civil 2024 Set 2 | Question: 4
The function $f(x)=x^{3}-27 x+4,1 \leq x \leq 6$ has Maxima point Minima point Saddle point Inflection point

The function $f(x)=x^{3}-27 x+4,1 \leq x \leq 6$ hasMaxima pointMinima pointSaddle pointInflection point

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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 ... $30^{\circ} 30^{\prime} 00^{\prime \prime}$ $30^{\circ} 31^{\prime} 20^{\prime \prime}$

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...

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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

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 ...

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14

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).

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.PointsStaff readings ...

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15

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

In general, the outer edge is raised above the inner edge in horizontal curves forHighways, Railways, and TaxiwaysHighways and Railways onlyRailways and Ta...

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16

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).

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 ...

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17

GATE Civil 2024 Set 1 | Question: 3
The probability that a student passes only in Mathematics is $\frac{1}{3}$. The probability that the student passes only in English is $\frac{4}{9}$. The probability that the student passes in both of these subjects is $\frac{1}{6}$. The probability that the ... one of these two subjects is $\frac{17}{18}$ $\frac{11}{18}$ $\frac{14}{18}$ $\frac{1}{18}$

The probability that a student passes only in Mathematics is $\frac{1}{3}$. The probability that the student passes only in English is $\frac{4}{9}$. Th...

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18

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 ... $\left(l_{\mathrm{y}} / l_{\mathrm{x}}\right)^{2}$

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...

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19

GATE Civil 2024 Set 1 | Question: 6
Consider the statements $\text{P}$ and $\text{Q}$. $\text{P}$: Client's Preliminary Estimate is used for budgeting costs toward the end of planning and design phase. $\text{Q}$: Client's Detailed Estimate is used for controlling costs during the execution ... Both $\mathrm{P}$ and $\mathrm{Q}$ are FALSE $\mathrm{P}$ is FALSE and $\mathrm{Q}$ is TRUE

Consider the statements $\text{P}$ and $\text{Q}$.$\text{P}$: Client's Preliminary Estimate is used for budgeting costs toward the end of planning and design phase.$\text...

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20

GATE Civil 2024 Set 2 | Question: 1
A partial differential equation \[ \frac{\partial^{2} T}{\partial x^{2}}+\frac{\partial^{2} T}{\partial y^{2}}=0 \] is defined for the two-dimensional field $T: T(x, y)$ ... edge is maintained at $T=100$. The value of $T$ at the center of the domain is $50.0$ $62.5$ $75.0$ $87.5$

A partial differential equation\[\frac{\partial^{2} T}{\partial x^{2}}+\frac{\partial^{2} T}{\partial y^{2}}=0\]is defined for the two-dimensional field $T: T...

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21

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 $\text{P}$ $\text{Q}$ $\text{R}$ $\text{S}$

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 se...

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22

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

Which one of the following saturated fine-grained soils can attain a negative Skempton's pore pressure coefficient $\text{(A)}$?Quick claysNormally-consolidated claysLigh...

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23

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 $\left(V_{b}\right)$.

In the context of pavement material characterization, the CORRECT statement(s) is/areThe load penetration curve of $\text{CBR}$ test may need origin correctio...

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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 $m$ ... $\sqrt{\frac{48 E I k}{\left(k l^{3}+48 E I\right) m}}$

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...

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25

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 $40 \%$ $60 \%$ $20 \%$ $30 \%$

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...

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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).

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 t...

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27

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).

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}...

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28

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).

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{ar...

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29

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

Consider the statements $\text{P, Q,}$ and $\text{R}$.$\text{P}$: Compacted fine-grained soils with flocculated structure have isotropic permeability.$\tex...

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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).

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} / \mathr...

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GATE Civil 2024 Set 1 | Question: 54
The following data is obtained from an axle load survey at a site: Average rear axle load $=12000 \mathrm{~kg}$ Number of commercial vehicles $=800$ per day The pavement at this site would be reconstructed over a period of 5 years from the date of survey. The ... $\mathrm{msa}$ ) for the pavement design is $\_\_\_\_\_\_\_$ (rounded off to $2$ decimal places).

The following data is obtained from an axle load survey at a site:Average rear axle load $=12000 \mathrm{~kg}$Number of commercial vehicles $=800$ per dayThe pavement at ...

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32

GATE Civil 2024 Set 1 | Question: 5
Concrete of characteristic strength $30 \mathrm{MPa}$ is required. If $40$ specimens of concrete cubes are to be tested, the minimum number of specimens having at least $30 \mathrm{MPa}$ strength should be $35$ $37$ $38$ $39$

Concrete of characteristic strength $30 \mathrm{MPa}$ is required. If $40$ specimens of concrete cubes are to be tested, the minimum number of specimens having at least $...

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33

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

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) =...

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34

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 $150$ $100$ $50$ $200$

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 for...

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35

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 $r$ ... $298^{\circ} \mathrm{C}$ $85^{\circ} \mathrm{C}$ $400^{\circ} \mathrm{C}$ $250^{\circ} \mathrm{C}$

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 $r$ is the radius ...

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36

GATE Civil 2024 Set 1 | Question: 15
If the number of sides resulting in a closed traverse is increased from three to four, the sum of the interior angles increases by $90^{\circ}$ $180^{\circ}$ $270^{\circ}$ $360^{\circ}$

If the number of sides resulting in a closed traverse is increased from three to four, the sum of the interior angles increases by$90^{\circ}$$180^{\circ}$...

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37

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 $50$ $55$ $65$ $70$

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...

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38

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 ... $S_{w l}^{e}+S_{t}^{e}-S_{f}$ $S_{w l}^{c}+S_{t}^{c}+S_{f}$

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...

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39

GATE Civil 2024 Set 2 | Question: 16
Which one of the following products is NOT obtained in anaerobic decomposition of glucose? $\mathrm{CO}_{2}$ $\mathrm{CH}_{4}$ $\mathrm{H}_{2} \mathrm{~S}$ $\mathrm{H}_{2} \mathrm{O}$

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} \m...

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40

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 $0.02 \%$ $0.35 \%$ $0.28 \%$ $0.18 \%$

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} (\%) ...

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