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161
GATE Civil 2022 Set 1 | Question: 8
Let $\sigma _{v}^{'}$ and $\sigma _{h}^{'}$ denote the effective vertical stress and effective horizontal stress, respectively. Which one of the following conditions must be satisfied for a soil element to reach the failure state under Rankine's passive earth pressure ... $\sigma _{v}^{'} + \sigma _{h}^{'} = 0$
Let $\sigma _{v}^{'}$ and $\sigma _{h}^{'}$ denote the effective vertical stress and effective horizontal stress, respectively. Which one of the following conditions must...
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GATE Civil 2022 Set 1 | Question: 38
Consider the differential equation $\frac{\mathrm{dy} }{\mathrm{d} x} = 4 \left ( x + 2 \right ) - y$ For the initial condition $y = 3$ at $x = 1$, the value of $y$ at $x = 1.4$ obtained using Euler’s method with a step-size of $0.2$ is ____________. (round off to one decimal place)
Consider the differential equation $$\frac{\mathrm{dy} }{\mathrm{d} x} = 4 \left ( x + 2 \right ) - y$$ For the initial condition $y = 3$ at $x = 1$, the value of $y$ at ...
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163
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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164
GATE Civil 2022 Set 2 | Question: 42
A uniform rod $KJ$ of weight $w$ shown in the figure rests against a frictionless vertical wall at the point $K$ and a rough horizontal surface at point $J.$ It is given that $w = 10 \; \text{kN}, a = 4 \; \text{m}$ ... of static friction that is required at the point $J$ to hold the rod in equilibrium is _________. (round off to three decimal places)
A uniform rod $KJ$ of weight $w$ shown in the figure rests against a frictionless vertical wall at the point $K$ and a rough horizontal surface at point $J.$ It is given ...
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165
GATE Civil 2022 Set 1 | Question: 10
Let $\psi$ represent soil suction head and $K$ represent hydraulic conductivity of the soil. If the soil moisture content $\theta$ increases, which one of the following statements is $\text{TRUE}$? $\psi$ decreases and $K$ increases $\psi$ increases and $K$ decreases Both $\psi$ and $K$ decrease Both $\psi$ and $K$ increase
Let $\psi$ represent soil suction head and $K$ represent hydraulic conductivity of the soil. If the soil moisture content $\theta$ increases, which one of the following s...
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166
GATE Civil 2022 Set 1 | Question: 31
As per Rankine's theory of earth pressure, the inclination of failure planes is $\left ( 45 + \frac{\phi }{2} \right )^{\circ}$ with respect to the direction of the minor principal stress. The above statement is correct ... passive state Only the passive state and not the active state Both active as well as passive states Neither active nor passive state
As per Rankine's theory of earth pressure, the inclination of failure planes is $\left ( 45 + \frac{\phi }{2} \right )^{\circ}$ with respect to the direction of the minor...
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167
GATE Civil 2023 Set 1 | Question: 47
A smooth vertical retaining wall supporting layered soils is shown in figure. According to Rankine's earth pressure theory, the lateral active earth pressure acting at the base of the wall is ______________ $\mathrm{kPa}$ (round off to one decimal place).
A smooth vertical retaining wall supporting layered soils is shown in figure. According to Rankine's earth pressure theory, the lateral active earth pressure acting at th...
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168
GATE Civil 2022 Set 2 | Question: 44
A group of total $16$ piles are arranged in a square grid format. The center-to-center spacing $(s)$ between adjacent piles is $3 \; \text{m}.$ The diameter $(d)$ and length of embedment of each pile are $1 \; \text{m}$ and ... value of the pile group capacity (in $\text{kN}$) in the vertical downward direction is _______. (round off to the nearest integer)
A group of total $16$ piles are arranged in a square grid format. The center-to-center spacing $(s)$ between adjacent piles is $3 \; \text{m}.$ The diameter $(d)$ and len...
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169
GATE Civil 2022 Set 2 | Question: 45
A saturated compressible clay layer of thickness $h$ is sandwiched between two sand layers, as shown in the figure. Initially, the total vertical stress and pore water pressure at point $\text{P},$ which is located at the mid-depth of the clay layer, ... $\text{P}$ is ___________. (in integer)
A saturated compressible clay layer of thickness $h$ is sandwiched between two sand layers, as shown in the figure. Initially, the total vertical stress and pore water pr...
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170
GATE Civil 2022 Set 2 | Question: 51
A sample of air analyzed at $25 \; ^{\circ}\text{C}$ and $1 \; \text{atm}$ pressure is reported to contain $0.04 \; \text{ppm}$ of $\text{SO}_{2}.$ Atomic mass of $\text{S = 32, O = 16}.$ The equivalent $\text{SO}_{2}$ concentration (in $\mu \text{g/m}^{3}$) will be _________. (round off to the nearest integer)
A sample of air analyzed at $25 \; ^{\circ}\text{C}$ and $1 \; \text{atm}$ pressure is reported to contain $0.04 \; \text{ppm}$ of $\text{SO}_{2}.$ Atomic mass of $\text{...
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GATE Civil 2022 Set 1 | Question: 23
At a site, Static Cone Penetration Test was carried out. The measured point (tip) resistance $q_{c}$ was $1000$ $\text{kPa}$ at a certain depth. The friction ratio $(f_{r})$ was estimated as $1\%$ at the same depth. The value of sleeve (side) friction (in $\text{kPa}$) at that depth was _________________. (in integer)
At a site, Static Cone Penetration Test was carried out. The measured point (tip) resistance $q_{c}$ was $1000$ $\text{kPa}$ at a certain depth. The friction ratio $(f_{r...
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GATE Civil 2022 Set 1 | Question: 41
Consider the linearly elastic plane frame shown in the figure. Members $\text{HF, FK and FG}$ are welded together at joint $F$. Joints $\text{K, G and H}$ are fixed supports. A counter-clockwise moment $M$ ... of the applied moment $\text{M (in kN-m)}$ to maintain static equilibrium is __________________ .(round off to the nearest integer)
Consider the linearly elastic plane frame shown in the figure. Members $\text{HF, FK and FG}$ are welded together at joint $F$. Joints $\text{K, G and H}$ are fixed suppo...
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GATE Civil 2022 Set 2 | Question: 43
The activities of a project are given in the following table along with their durations and dependency. ... $\text{E}$ (in $\textbf{days}$) is ___________. (in integer)
The activities of a project are given in the following table along with their durations and dependency.$$ \begin{array} {|c|c|c|} \hline \textbf{Activities}& \textbf{Dura...
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174
GATE Civil 2024 Set 2 | Question: 29
A homogeneous, prismatic, linearly elastic steel bar fixed at both the ends has a slenderness ratio $(l / r)$ of $105$, where $l$ is the bar length and $r$ ... $298^{\circ} \mathrm{C}$ $85^{\circ} \mathrm{C}$ $400^{\circ} \mathrm{C}$ $250^{\circ} \mathrm{C}$
A homogeneous, prismatic, linearly elastic steel bar fixed at both the ends has a slenderness ratio $(l / r)$ of $105$, where $l$ is the bar length and $r$ is the radius ...
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GATE Civil 2024 Set 2 | Question: 38
Consider two matrices $\mathbf{A}=\left[\begin{array}{lll}2 & 1 & 4 \\ 1 & 0 & 3\end{array}\right]$ and $\mathbf{B}=\left[\begin{array}{cc}-1 & 0 \\ 2 & 3 \\ 1 & 4\end{array}\right]$. The determinant of the matrix $\mathbf{AB}$ is $\_\_\_\_\_\_\_$ (in integer).
Consider two matrices $\mathbf{A}=\left[\begin{array}{lll}2 & 1 & 4 \\ 1 & 0 & 3\end{array}\right]$ and $\mathbf{B}=\left[\begin{array}{cc}-1 & 0 \\ 2 & 3 \\ 1 & 4\end{ar...
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GATE Civil 2023 Set 1 | Question: 24
The ordinates of a one-hour unit hydrograph for a catchment are given below: ... $t=1$ hour and $10 \mathrm{~m}^{3} / \mathrm{s}$ at $t=2$ hour. The value of $D$ (in integer) is ______________.
The ordinates of a one-hour unit hydrograph for a catchment are given below:$$\begin{array}{|l|l|l|l|l|l|l|l|l|}\hline \text{t(hour)} & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 \\\h...
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GATE Civil 2023 Set 1 | Question: 50
A hydraulic jump occurs in a $1.0 \mathrm{~m}$ wide horizontal, frictionless, rectangular channel, with a pre-jump depth of $0.2 \mathrm{~m}$ and a post-jump depth of $1.0 \mathrm{~m}$. The value of $g$ ... at the pre-jump and post-jump sections are same and are equal to (in $\mathrm{m}^3$, rounded off to two decimal places)_______________.
A hydraulic jump occurs in a $1.0 \mathrm{~m}$ wide horizontal, frictionless, rectangular channel, with a pre-jump depth of $0.2 \mathrm{~m}$ and a post-jump depth of $1....
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178
GATE Civil 2022 Set 2 | Question: 49
At a municipal waste handling facility, $30$ metric ton mixture of food waste, yard waste, and paper waste was available. The moisture content of this mixture was found to be $10\%.$ The ideal moisture content for composting this ... water to be added to this mixture to bring its moisture content to the ideal condition is ___________metric ton. (in integer)
At a municipal waste handling facility, $30$ metric ton mixture of food waste, yard waste, and paper waste was available. The moisture content of this mixture was found t...
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GATE Civil 2022 Set 1 | Question: 22
A concentrated vertical load of $3000$ $\text{kN}$ is applied on a horizontal ground surface. Points $P$ and $Q$ are at depths $1 \:m$ and $2\: m$ below the ground, respectively, along the line of application of the load. Considering ... the ratio of the increase in vertical stress at $P$ to the increase in vertical stress at $Q$ is _______________. (in integer)
A concentrated vertical load of $3000$ $\text{kN}$ is applied on a horizontal ground surface. Points $P$ and $Q$ are at depths $1 \:m$ and $2\: m$ below the ground, respe...
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180
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 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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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 2023 Set 2 | Question: 11
Which one of the following options provides the correct match of the terms listed in Column-$1$ and Column-$2$ ... $\text{P-III, Q-IV, R-I}$ $\text{P-IV, Q-III, R-II}$ $\text{P-III, Q-I, R-IV}$
Which one of the following options provides the correct match of the terms listed in Column-$1$ and Column-$2$?$$\begin{array}{|l|l|}\hline \qquad \text{Column-1} & \qqua...
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GATE Civil 2023 Set 2 | Question: 35
Match the following air pollutants with the most appropriate adverse health effects: ...
Match the following air pollutants with the most appropriate adverse health effects:$$\begin{array}{|l|l|}\hline \textbf{Air pollutant} & \textbf{Health effect to human a...
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GATE Civil 2023 Set 1 | Question: 1
For the integral $I=\int_{-1}^{1} \frac{1}{x^{2}} d x$ which of the following statements is $\text{TRUE?}$ $I=0$ $I=2$ $I=-2$ The integral does not converge
For the integral$$I=\int_{-1}^{1} \frac{1}{x^{2}} d x$$which of the following statements is $\text{TRUE?}$ $I=0$ $I=2$$I=-2$ The integral does not converge
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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$
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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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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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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GATE Civil 2023 Set 2 | Question: 17
With regard to the shear design of RCC beams, which of the following statements is/are TRUE? Excessive shear reinforcement can lead to compression failure in concrete Beams without shear reinforcement, even if adequately designed for flexure, can have ... in the beams of varying depth depends on both the design shear force as well as the design bending moment
With regard to the shear design of RCC beams, which of the following statements is/are TRUE? Excessive shear reinforcement can lead to compression failure in concreteBeam...
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GATE Civil 2023 Set 2 | Question: 31
In the given figure, Point $\mathrm{O}$ indicates the stress point of a soil element at initial non-hydrostatic stress condition. For the stress path $\text{(OP),}$ which of the following loading conditions is correct? $\sigma_v$ is ... $\sigma_v$ is increasing and $\sigma_h$ is decreasing $\sigma_v$ is decreasing and $\sigma_h$ is increasing
In the given figure, Point $\mathrm{O}$ indicates the stress point of a soil element at initial non-hydrostatic stress condition. For the stress path $\text{(OP),}$ which...
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GATE Civil 2023 Set 1 | Question: 36
A plot of speed-density relationship (linear) of two roads (Road $\mathrm{A}$ and Road $\mathrm{B}$) is shown in the figure. If the capacity of Road $\mathrm{A}$ is $C_A$ and the capacity of Road $\mathrm{B}$ is $C_B$, what is $\frac{C_A}{C_B}$? $\frac{k_A}{k_B}$ $\frac{u_A}{u_B}$ $\frac{k_A u_A}{k_B u_B}$ $\frac{k_A u_B}{k_B u_A}$
A plot of speed-density relationship (linear) of two roads (Road $\mathrm{A}$ and Road $\mathrm{B}$) is shown in the figure.If the capacity of Road $\mathrm{A}$ is $C_A$ ...
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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}$
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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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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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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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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GATE Civil 2024 Set 1 | Question: 55
A bird is resting on a point $\mathrm{P}$ at a height of $8 \mathrm{~m}$ above the Mean Sea Level (MSL). Upon hearing a loud noise, the bird flies parallel to the ground surface and reaches a point $\mathrm{Q}$ ... the horizontal distance (in meters) between points $\mathrm{P}$ and $\mathrm{Q}$ is $\_\_\_\_\_\_$ (in integer).
A bird is resting on a point $\mathrm{P}$ at a height of $8 \mathrm{~m}$ above the Mean Sea Level (MSL). Upon hearing a loud noise, the bird flies parallel to the ground ...
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GATE Civil 2023 Set 2 | Question: 39
Which of the following statements is/are TRUE for the aerobic composting of sewage sludge? Bulking agent is added during the composting process to reduce the porosity of the solid mixture Leachate can be generated during composting Actinomycetes are involved in the process In-vessel composting systems cannot be operated in the plug-flow mode
Which of the following statements is/are TRUE for the aerobic composting of sewage sludge?Bulking agent is added during the composting process to reduce the porosity of t...
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GATE Civil 2023 Set 1 | Question: 10
Which one of the following statements is TRUE for Greenhouse Gas $(\mathrm{GHG})$ in the atmosphere? $\mathrm{GHG}$ absorbs the incoming short wavelength solar radiation to the earth surface, and allows the long wavelength radiation ... solar radiation to pass through to the earth surface, and absorbs the long wavelength radiation coming from the earth surface
Which one of the following statements is TRUE for Greenhouse Gas $(\mathrm{GHG})$ in the atmosphere?$\mathrm{GHG}$ absorbs the incoming short wavelength solar radiation t...
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GATE Civil 2023 Set 1 | Question: 11
$G_1$ and $G_2$ are the slopes of the approach and departure grades of a vertical curve, respectively. Given $\left|G_1\right|<\left|G_2\right|$ and $\left|G_1\right| \neq\left|G_2\right| \neq 0$ $\text{Statement 1:} +G_1$ ... $\text{Statement 3}$ are wrong $\text{Statement 2}$ is correct; $\text{Statement 1}$ and $\text{Statement 3}$ are wrong
$G_1$ and $G_2$ are the slopes of the approach and departure grades of a vertical curve, respectively.Given $\left|G_1\right|<\left|G_2\right|$ and $\left|G_1\right| \neq...
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GATE Civil 2022 Set 1 | Question: 5
Which of the following equations is correct for the Pozzolanic reaction? $\text{Ca(OH)}_{2}$ + Reactive Superplasticiser + $H_{2}O \rightarrow \text{C-S-H}$ $\text{Ca(OH)}_{2}$ + Reactive Silicon dioxide + $H_{2}O \rightarrow \text{C-S-H}$ ... $\text{Ca(OH)}_{2}$ + Reactive Sulphur + $H_{2}O \rightarrow \text{C-S-H}$
Which of the following equations is correct for the Pozzolanic reaction?$\text{Ca(OH)}_{2}$ + Reactive Superplasticiser + $H_{2}O \rightarrow \text{C-S-H}$$\text{Ca(OH)}_...
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