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81

GATE Civil 2024 Set 1 | Question: 7
The following figure shows the arrangement of formwork for casting a cantilever $\mathrm{RC}$ ...

The following figure shows the arrangement of formwork for casting a cantilever $\mathrm{RC}$ beam.The correct sequence of removing the Shores/Props is$\mathrm{S} 1 \righ...

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82

GATE Civil 2024 Set 1 | Question: 8
A $2 \mathrm{~m}$ wide strip footing is founded at a depth of $1.5 \mathrm{~m}$ below the ground level in a homogeneous pure clay bed. The clay bed has unit cohesion of $40 \mathrm{kPa}$. Due to seasonal ... peak monsoon period, the net ultimate bearing capacity of the footing, as per Terzaghi's theory, will remain the same decrease increase become zero

A $2 \mathrm{~m}$ wide strip footing is founded at a depth of $1.5 \mathrm{~m}$ below the ground level in a homogeneous pure clay bed. The clay bed has uni...

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83

GATE Civil 2024 Set 1 | Question: 9
Consider the statements $\text{P}$ and $\text{Q}$. $\text{P}$: Soil particles formed by mechanical weathering, and close to their origin are generally subrounded. $\text{Q}$: Activity of the clay physically signifies its swell potential. Which one of the following ... $\mathrm{\text{P}}$ and $\mathrm{Q}$ are FALSE $\mathrm{P}$ is FALSE and $\mathrm{Q}$ is TRUE

Consider the statements $\text{P}$ and $\text{Q}$.$\text{P}$: Soil particles formed by mechanical weathering, and close to their origin are generally subrounded.$\text{Q}...

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84

GATE Civil 2024 Set 1 | Question: 10
The number of degrees of freedom for a natural open channel flow with a mobile bed is $2$ $3$ $4$ $5$

The number of degrees of freedom for a natural open channel flow with a mobile bed is$2$$3$$4$$5$

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85

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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86

GATE Civil 2024 Set 1 | Question: 12
A car is travelling at a speed of $60 \mathrm{~km} / \mathrm{hr}$ on a section of a National Highway having a downward gradient of $2 \%$. The driver of the car suddenly observes a stopped vehicle on the car path at a distance $130 \mathrm{~m}$ ahead, and applies ... the car to a safe stop lies in the range $126$ to $130$ $41$ to $45$ $33$ to $37$ $75$ to $79$

A car is travelling at a speed of $60 \mathrm{~km} / \mathrm{hr}$ on a section of a National Highway having a downward gradient of $2 \%$. The driver of the car suddenly ...

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87

GATE Civil 2024 Set 1 | Question: 13
As per the International Civil Aviation Organization (ICAO), the basic runway length is increased by $x(\%)$ for every $y(\mathrm{~m})$ raise in elevation from the Mean Sea Level (MSL). The values of $x$ and $y$, respectively, are $7 \%$ and $300 \mathrm{~m}$ $5 \%$ and $200 \mathrm{~m}$ $4 \%$ and $500 \mathrm{~m}$ $10 \%$ and $1000 \mathrm{~m}$

As per the International Civil Aviation Organization (ICAO), the basic runway length is increased by $x(\%)$ for every $y(\mathrm{~m})$ raise in elevation ...

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88

GATE Civil 2024 Set 1 | Question: 14
Which one of the following statements related to bitumen is FALSE? Kinematic viscosity is a measure of resistance to the flow of molten bitumen under gravity. Softer grade bitumen possesses higher softening point than hard grade bitumen. ... specified test conditions. Ductility test is carried out on bitumen to test its adhesive property and ability to stretch.

Which one of the following statements related to bitumen is FALSE?Kinematic viscosity is a measure of resistance to the flow of molten bitumen under gravity.Softer grade ...

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89

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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90

GATE Civil 2024 Set 1 | Question: 16
A surveyor observes a zenith angle of $93^{\circ} 00^{\prime} 00^{\prime \prime}$ during a theodolite survey. The corresponding vertical angle is $-03^{\circ} 00^{\prime} 00^{\prime \prime}$ $+03^{\circ} 00^{\prime} 00^{\prime \prime}$ $-87^{\circ} 00^{\prime} 00^{\prime \prime}$ $+87^{\circ} 00^{\prime} 00^{\prime \prime}$

A surveyor observes a zenith angle of $93^{\circ} 00^{\prime} 00^{\prime \prime}$ during a theodolite survey. The corresponding vertical angle is$-03^{\circ} 00^{\prime} ...

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91

GATE Civil 2024 Set 1 | Question: 17
Among the following statements relating the fundamental lines of a transit theodolite, which one is CORRECT? The line of collimation must be perpendicular to the horizontal axis at its intersection with the vertical axis. The axis of altitude level ... to the vertical axis. The Vernier of vertical circle must read zero when the line of collimation is vertical.

Among the following statements relating the fundamental lines of a transit theodolite, which one is CORRECT?The line of collimation must be perpendicular to the horizonta...

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92

GATE Civil 2024 Set 1 | Question: 18
For the following partial differential equation, \[ x \frac{\partial^{2} f}{\partial x^{2}}+y \frac{\partial^{2} f}{\partial y^{2}}=\frac{x^{2}+y^{2}}{2} \] which of the following option(s) is/are CORRECT? elliptic for $x>0$ and $y>0$ parabolic for $x>0$ and $y>0$ elliptic for $x=0$ and $y>0$ hyperbolic for $x<0$ and $y>0$

For the following partial differential equation,\[x \frac{\partial^{2} f}{\partial x^{2}}+y \frac{\partial^{2} f}{\partial y^{2}}=\frac{x^{2}+y^{2}}{2}\...

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93

GATE Civil 2024 Set 1 | Question: 19
The elements that DO NOT increase the strength of structural steel are Carbon Manganese Sulphur Chlorine

The elements that DO NOT increase the strength of structural steel areCarbonManganeseSulphurChlorine

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94

GATE Civil 2024 Set 1 | Question: 20
Consider a balanced doubly-reinforced concrete section. If the material and other sectional properties remain unchanged, for which of the following cases will the section becomes under-reinforced? Area of tension reinforcement ... compression reinforcement is increased. Area of tension reinforcement is decreased. Area of compression reinforcement is decreased.

Consider a balanced doubly-reinforced concrete section. If the material and other sectional properties remain unchanged, for which of the following cases will the section...

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95

GATE Civil 2024 Set 1 | Question: 21
The primary air pollutant(s) is/are Sulfur dioxide Lead Ozone Sulphuric acid

The primary air pollutant(s) is/areSulfur dioxideLeadOzoneSulphuric acid

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96

GATE Civil 2024 Set 1 | Question: 22
Consider the data of $f(x)$ given in the table. \begin{array}{|c|c|c|c|} \hline i & 0 & 1 & 2 \\ \hline x_{i} & 1 & 2 & 3 \\ \hline f\left(x_{i}\right) & 0 & 0.3010 & 0.4771 \\ \hline ... value of $f(1.5)$ estimated using second-order Newton's interpolation formula is $\_\_\_\_\_\_$. (rounded off to $2$ decimal places).

Consider the data of $f(x)$ given in the table.\begin{array}{|c|c|c|c|}\hline i & 0 & 1 & 2 \\\hline x_{i} & 1 & 2 & 3 \\\hline f\left(x_{i}\right) & 0 & 0.3010 & 0.4771 ...

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97

GATE Civil 2024 Set 1 | Question: 23
The plane frame shown in the figure has fixed support at joint $\text{A}$, hinge support at joint $\text{F}$, and roller support at joint $\text{I}$. In the figure, $\text{A}$ to $\text{I}$ indicate joints of the frame. If the axial deformations are neglected, the degree of kinematic indeterminacy is $\_\_\_\_\_\_$. (in integer).

The plane frame shown in the figure has fixed support at joint $\text{A}$, hinge support at joint $\text{F}$, and roller support at joint $\text{I}$. In the figure, $\tex...

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98

GATE Civil 2024 Set 1 | Question: 24
An embankment is constructed with soil by maintaining the degree of saturation as $75 \%$ during compaction. The specific gravity of soil is 2.68 and the moisture content is $17 \%$ ... $\_\_\_\_\_\_\_$. (rounded off to $2$ decimal places).

An embankment is constructed with soil by maintaining the degree of saturation as $75 \%$ during compaction. The specific gravity of soil is 2.68 and the moisture content...

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99

GATE Civil 2024 Set 1 | Question: 25
A $30 \mathrm{~cm}$ diameter well fully penetrates an unconfined aquifer of saturated thickness $20 \mathrm{~m}$ with hydraulic conductivity of $10 \mathrm{~m} /$ ... $\_\_\_\_\_\_\_\_$. (rounded off to $2$ decimal places).

A $30 \mathrm{~cm}$ diameter well fully penetrates an unconfined aquifer of saturated thickness $20 \mathrm{~m}$ with hydraulic conductivity of $10 \mathrm{~m} /$ day. Un...

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100

GATE Civil 2024 Set 1 | Question: 26
What are the eigenvalues of the matrix $\left[\begin{array}{lll}2 & 1 & 1 \\ 1 & 4 & 1 \\ 1 & 1 & 2\end{array}\right]$ ? $1,2,5$ $1,3,4$ $-5,1,2$ $-5,-1,2$

What are the eigenvalues of the matrix $\left[\begin{array}{lll}2 & 1 & 1 \\ 1 & 4 & 1 \\ 1 & 1 & 2\end{array}\right]$ ?$1,2,5$$1,3,4$$-5,1,2$$-5,-1,2$

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101

GATE Civil 2024 Set 1 | Question: 27
A vector field $\vec{p}$ and a scalar field $r$ are given by \[ \begin{aligned} \vec{p} & =\left(2 x^{2}-3 x y+z^{2}\right) \hat{\imath}+\left(2 y^{2}-3 y z+x^{2}\right) \hat{\jmath}+\left(2 z^{2}-3 x z+x^{2}\right) \ ... $\text{P}$ is TRUE and $\text{Q}$ is FALSE $\mathrm{P}$ is FALSE and $\mathrm{Q}$ is TRUE Both $\mathrm{P}$ and $\mathrm{Q}$ are TRUE

A vector field $\vec{p}$ and a scalar field $r$ are given by\[\begin{aligned}\vec{p} & =\left(2 x^{2}-3 x y+z^{2}\right) \hat{\imath}+\left(2 y^{2}-3 y z+x...

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102

GATE Civil 2024 Set 1 | Question: 28
Find the correct match between the plane stress states and the Mohr's circles. $\text{(P)-(III); (Q)-(IV); (R)-(I); (S)-(II)}$ $\text{(P)-(III); (Q)-(II); (R)-(I); (S)-(IV)}$ $\text{(P)-(I); (Q)-(IV); (R)-(III); (S)-(II)}$ $\text{(P)-(I); (Q)-(II); (R)-(III); (S)-(IV)}$

Find the correct match between the plane stress states and the Mohr's circles.$\text{(P)-(III); (Q)-(IV); (R)-(I); (S)-(II)}$$\text{(P)-(III); (Q)-(II); (R...

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103

GATE Civil 2024 Set 1 | Question: 29
The beam shown in the figure is subjected to a uniformly distributed downward load of intensity $q$ between supports $\text{A}$ and $\text{B}$ ... $\mathrm{RA}=\frac{q l}{2} ; \mathrm{RB}=q l ; \mathrm{RC}=\frac{q l}{2}$

The beam shown in the figure is subjected to a uniformly distributed downward load of intensity $q$ between supports $\text{A}$ and $\text{B}$.Considering ...

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104

GATE Civil 2024 Set 1 | Question: 30
A homogeneous shaft $\text{PQR}$ with fixed supports at both ends is subjected to a torsional moment $\mathrm{T}$ at point $\mathrm{Q}$, as shown in the figure. The polar moments of inertia of the portions $\text{PQ}$ and $\text{QR}$ of the shaft with circular ... the ratio of the lengths $\mathrm{L}_{1} / \mathrm{L}_{2}$ is $0.50$ $0.25$ $4.00$ $2.00$

A homogeneous shaft $\text{PQR}$ with fixed supports at both ends is subjected to a torsional moment $\mathrm{T}$ at point $\mathrm{Q}$, as shown in the fi...

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105

GATE Civil 2024 Set 1 | Question: 31
A vertical smooth rigid retaining wall is supporting horizontal ground with dry cohesionless backfill having a friction angle of $30^{\circ}$. The inclinations of failure planes with respect to the major principal plane for Rankine's active and passive earth pressure conditions, ... $30^{\circ}$ and $60^{\circ}$ $60^{\circ}$ and $30^{\circ}$

A vertical smooth rigid retaining wall is supporting horizontal ground with dry cohesionless backfill having a friction angle of $30^{\circ}$. The inclinations of failure...

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106

GATE Civil 2024 Set 1 | Question: 32
A flow velocity field $\vec{V}: \vec{V}(x, y)$ for a fluid is represented by \[ \vec{V}=3 \hat{\imath}+(5 x) \hat{\jmath} \] In the context of the fluid and the flow, which one of the following ... fluid is incompressible and the flow is irrotational. The fluid is compressible and the flow is rotational The fluid is compressible and the flow is irrotational.

A flow velocity field $\vec{V}: \vec{V}(x, y)$ for a fluid is represented by\[\vec{V}=3 \hat{\imath}+(5 x) \hat{\jmath}\]In the context of the fluid and the f...

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107

GATE Civil 2024 Set 1 | Question: 33
For assessing the compliance with the emissions standards of incineration plants, a correction needs to be applied to the measured concentrations of air pollutants. The emission standard (based on $11 \%$ Oxygen) for $\mathrm{HCl}$ ... is lesser than the emission standard. No compliance, as the Oxygen is greater than $11 \%$ in the flue gas.

For assessing the compliance with the emissions standards of incineration plants, a correction needs to be applied to the measured concentrations of air...

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108

GATE Civil 2024 Set 1 | Question: 34
The free mean speed is $60 \mathrm{~km} / \mathrm{hr}$ on a given road. The average space headway at jam density on this road is $8 \mathrm{~m}$. For a linear speed-density relationship, the maximum flow (in veh/hr/lane) expected on the road is $1875$ $938$ $2075$ $1038$

The free mean speed is $60 \mathrm{~km} / \mathrm{hr}$ on a given road. The average space headway at jam density on this road is $8 \mathrm{~m}$. For a linear speed-densi...

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109

GATE Civil 2024 Set 1 | Question: 35
A map is prepared with a scale of $1: 1000$ and a contour interval of $1 \mathrm{~m}$. If the distance between two adjacent contours on the map is $10 \mathrm{~mm}$, the slope of the ground between the adjacent contours is $30 \%$ $10 \%$ $35 \%$ $40 \%$

A map is prepared with a scale of $1: 1000$ and a contour interval of $1 \mathrm{~m}$. If the distance between two adjacent contours on the map is $10 \...

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110

GATE Civil 2024 Set 1 | Question: 36
Which of the following statement(s) is/are CORRECT? Swell potential of soil decreases with an increase in the shrinkage limit. Both loose and dense sands with different initial void ratios can attain similar void ... other corrections. In electrical resistivity tomography, the depth of current penetration is half of the spacing between the electrodes.

Which of the following statement(s) is/are CORRECT?Swell potential of soil decreases with an increase in the shrinkage limit.Both loose and dense sands ...

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111

GATE Civil 2024 Set 1 | Question: 37
The return period of a large earthquake for a given region is $200$ years. Assuming that earthquake occurrence follows Poisson's distribution, the probability that it will be exceeded at least once in $50$ years is $\_\_\_\_\_\_$ $\%$ (rounded off to the nearest integer).

The return period of a large earthquake for a given region is $200$ years. Assuming that earthquake occurrence follows Poisson's distribution, the probability that it wil...

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112

GATE Civil 2024 Set 1 | Question: 38
A $2 \mathrm{~m} \times 2 \mathrm{~m}$ tank of $3 \mathrm{~m}$ height has inflow, outflow and stirring mechanisms. Initially, the tank was half-filled with fresh water. At $t=0$ ... grams) in the tank at $75 \%$ of its capacity is $\_\_\_\_\_\_\_$ (rounded off to $2$ decimal places).

A $2 \mathrm{~m} \times 2 \mathrm{~m}$ tank of $3 \mathrm{~m}$ height has inflow, outflow and stirring mechanisms. Initially, the tank was half-filled with fresh water. A...

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113

GATE Civil 2024 Set 1 | Question: 39
The plane truss shown in the figure has $13$ joints and $22$ members. The truss is made of a homogeneous, prismatic, linearly elastic material. All members have identical axial rigidity. A to $\mathrm{M}$ indicate the joints of the truss. The truss has pin supports at ... $\mathrm{L}$ is $\_\_\_\_\_\_$ (rounded off to $1$ decimal place).

The plane truss shown in the figure has $13$ joints and $22$ members. The truss is made of a homogeneous, prismatic, linearly elastic material. All members have identical...

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114

GATE Civil 2024 Set 1 | Question: 40
An inverted $\mathrm{T}$-shaped concrete beam $\text{(B1)}$ in the figure, with centroidal axis $\mathrm{X}-\mathrm{X}$, is subjected to an effective prestressing force of $1000 \mathrm{kN}$ acting at the bottom kern point of the beam cross-section. Also consider ... $\text{B}2$ is $\_\_\_\_\_\_\_$ (rounded off to the nearest integer).

An inverted $\mathrm{T}$-shaped concrete beam $\text{(B1)}$ in the figure, with centroidal axis $\mathrm{X}-\mathrm{X}$, is subjected to an effective prestressing force o...

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115

GATE Civil 2024 Set 1 | Question: 41
The initial cost of an equipment is Rs. $1,00,000$. Its salvage value at the end of accounting life of $5$ years is Rs. $10,000$. The difference in depreciation (in Rs.) computed using 'double-declining balance method' and 'straight line method' of depreciation in Year-$2$ is $\_\_\_\_\_\_$ (in positive integer).

The initial cost of an equipment is Rs. $1,00,000$. Its salvage value at the end of accounting life of $5$ years is Rs. $10,000$. The difference in depreciation (in Rs.) ...

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116

GATE Civil 2024 Set 1 | Question: 42
A slab panel with an effective depth of $250 \mathrm{~mm}$ is reinforced with $0.2 \%$ main reinforcement using $8 \mathrm{~mm}$ diameter steel bars. The uniform center-to-center spacing (in $\mathrm{mm}$ ) at which the $8 \mathrm{~mm}$ diameter bars are placed in the slab panel is $\_\_\_\_\_\_$. (rounded off to the nearest integer).

A slab panel with an effective depth of $250 \mathrm{~mm}$ is reinforced with $0.2 \%$ main reinforcement using $8 \mathrm{~mm}$ diameter steel bars. The uniform center-t...

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117

GATE Civil 2024 Set 1 | Question: 43
The total primary consolidation settlement $\left(S_{c}\right)$ of a building constructed on a $10 \mathrm{~m}$ thick saturated clay layer is estimated to be $50 \mathrm{~mm}$. After $300$ days of the construction of the building, primary consolidation settlement was reported ... $50 \%$ of $S_{c}$ will be $\_\_\_\_\_\_\_$ (rounded off to the nearest integer).

The total primary consolidation settlement $\left(S_{c}\right)$ of a building constructed on a $10 \mathrm{~m}$ thick saturated clay layer is estimated to be $50 \mathrm{...

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118

GATE Civil 2024 Set 1 | Question: 44
An infinite slope is made up of cohesionless soil with seepage parallel to and up to the sloping surface. The angle of slope is $30^{\circ}$ ... for the critically stable condition of the slope is $\_\_\_\_\_\_\_$ (rounded off to the nearest integer).

An infinite slope is made up of cohesionless soil with seepage parallel to and up to the sloping surface. The angle of slope is $30^{\circ}$ with respect to horizontal gr...

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119

GATE Civil 2024 Set 1 | Question: 45
A soil sample was consolidated at a cell pressure of $20 \mathrm{kPa}$ and a back pressure of $10 \mathrm{kPa}$ for $24$ hours during a consolidated undrained $\text{(CU)}$ triaxial test. The cell pressure was increased to $30 \mathrm{kPa}$ on the next ... s pore pressure parameter $B$ for the soil sample is $\_\_\_\_\_\_\_$ (rounded off to $2$ decimal places).

A soil sample was consolidated at a cell pressure of $20 \mathrm{kPa}$ and a back pressure of $10 \mathrm{kPa}$ for $24$ hours during a consolidated undrained $\text{(CU)...

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120

GATE Civil 2024 Set 1 | Question: 46
The ordinates of a $1$-hour unit hydrograph $\text{(UH)}$ are given below. Time (hours) $0$ $1$ $2$ $3$ $4$ $5$ Ordinates of $1$-hour $\mathrm{UH}\left(\mathrm{m}^{3} / \mathrm{s}\right)$ $0$ $13$ $50$ $80$ $95$ $85$ Time (hours) $6$ $7$ ... $3$-hour $\text{UH}$ is $\_\_\_\_\_\_\_$ (rounded off to the nearest integer).

The ordinates of a $1$-hour unit hydrograph $\text{(UH)}$ are given below.Time (hours)$0$$1$$2$$3$$4$$5$Ordinates of $1$-hour $\mathrm{UH}\left(\mathrm{m}^{3} / \mathrm{s...

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