Recent questions tagged gatecivil-2021-set2

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The value of $\lim \limits_{x\rightarrow \infty } \dfrac{x \:\text{ln}\left ( x \right )}{1+x^{2}}$ is$0$$1.0$$0.5$$\infty$
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The rank of the matrix $\begin{bmatrix} 5 & 0 & -5 & 0\\ 0 & 2 & 0 & 1\\ -5 & 0 & 5 & 0\\ 0 & 1 & 0 & 2 \end{bmatrix}$ is$1$$2$$3$$4$
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The unit normal vector to the surface $X^{2} + Y^{2} + Z^{2} – 48 = 0$ at the point $(4, 4, 4)$ is $\frac{1}{\sqrt{2}},\frac{1}{\sqrt{2}},\frac{1}{\sqrt{2}}$$\frac{1}{\sq...
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If $\text{A}$ is a square matrix then orthogonality property mandates$AA^{T}=I$$AA^{T}=0$$AA^{T}=A^{-1}$$AA^{T}=A^{2}$
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In general, the $\text{CORRECT}$ sequence of surveying operations isField observations $\rightarrow$ Reconnaissance $\rightarrow$ Data analysis $\rightarrow$ Map makin...
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Strain hardening of structural steel meansexperiencing higher stress than yield stress with increased deformationstrengthening steel member externally for reducing strain...
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A single story building model is shown in the figure. The rigid bar of mass ‘$\text{m}$’ is supported by three massless elastic columns whose ends are fixed against rotat...
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Seasoning of timber for use in construction is done essentially toincrease strength and durabilitysmoothen timber surfacesremove knots from timber logscut timber in right...
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In case of bids in Two-Envelop System, the correct option isTechnical bid is opened firstFinancial bid is opened firstBoth (Technical and Financial) bids are opened simul...
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The most appropriate triaxial test to assess the long-term stability of an excavated clay slope isconsolidated drained testunconsolidated undrained testconsolidated undra...
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As per the Unified Soil Classification System $\text{(USCS)}$, the type of soil represented by ‘$\text{MH}$’ isInorganic silts of high plasticity with liquid limit more t...
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The ratio of the momentum correction factor to the energy correction factor for a laminar flow in a pipe is$\frac{1}{2}$$\frac{2}{3}$$1$$\frac{3}{2}$
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Relationship between traffic speed and density is described using a negatively sloped straight line. If $v_{f}$ is the free flow speed then the speed at which the maximum...
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Determine the correctness or otherwise of the following Assertion $\text{[a]}$ and the Reason $\text{[r]}$.$\text{Assertion [a]}$: One of the best ways to reduce the amou...
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The hardness of a water sample is measured directly by titration with $\text{0.01 M}$ solution of ethylenediamine tetraacetic acid $\text{(EDTA)}$ using eriochrome black ...
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The softening point of bitumen has the same unit as that ofdistancetemperaturetimeviscosity
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Which of the following statement$\text{(s)}$ is/are correct?Increased levels of carbon monoxide in the indoor environment result in the formation of carboxyhemoglobin and...
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The value ($\textit{round off to one decimal place}$) of $\int_{-1}^{1}x\:e^{\left | x \right |}dx$ is ______________
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A solid circular torsional member $\text{OPQ}$ is subjected to torsional moments as shown in the figure (not to scale). The yield shear strength of the constituent materi...
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A propped cantilever beam $\text{XY}$, with an internal hinge at the middle, is carrying a uniformly distributed load of $\text{10 kN/m}$, as shown in the figure.The vert...
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The internal $(d_{i})$ and external $(d_{o})$ diameters of a Shelby sampler are $\text{48 mm}$ and $\text{52 mm}$, respectively. The area ratio $(A_{r})$ of the sampler (...
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A $12$-hour unit hydrograph (of $\text{1 cm}$ excess rainfall) of a catchment is of a triangular shape with a base width of $144$ hour and a peak discharge of $23\text{ m...
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A lake has a maximum depth of $\text{60 m}$. If the mean atmospheric pressure in the lake region is $\text{91 kPa}$ and the unit weight of the lake water is $\text{9790 N...
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In a three-phase signal system design for a four-leg intersection, the critical flow ratios for each phase are $0.18, 0.32$, and $0.22$. The total loss time in each of th...
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A horizontal angle $\theta$ is measured by four different surveyors multiple times and the values reported are given below.$$\begin{array}{|lc|cI|cI|cI|cI|cI|}\hline&\tex...
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If $\text{k}$ is a constant, the general solution of $\dfrac{dy}{dx}-\dfrac{y}{x}=1$ will be in the form of$y=x\text{ ln}(kx)$$y=k\text{ ln}(kx)$$y=x\text{ ln}(x)$$y=xk\t...
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The smallest eigenvalue and the corresponding eigenvector of the matrix $\begin{bmatrix} 2 & -2 \\ -1 & 6 \end{bmatrix}$, respectively, are$1.55$ and $\begin{Bmatrix} 2.0...
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A prismatic steel beam is shown in the figure.The plastic moment, $M_{P}$ calculated for the collapse mechanism using static method and kinematic method is$M_{P,static} \...
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A frame $\text{EFG}$ is shown in the figure. All members are prismatic and have equal flexural rigidity. The member $\text{FG}$ carries a uniformly distributed load $\tex...
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A clay layer of thickness $\text{H}$ has a preconsolidation pressure $p_{c}$ and an initial void ratio $e_{0}$.The initial effective overburden stress at the mid-height o...
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A rectangular open channel of $\text{6 m}$ width is carrying a discharge of $20 \text{ m$^{3}$/s}$. Consider the acceleration due to gravity as $9.81 \text{ m/s}^{2}$ and...
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Read the statements given below.Value of the wind profile exponent for the 'very unstable' atmosphere is smaller than the wind profile exponent for the 'neutral' atmosphe...
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A water filtration unit is made of uniform-size sand particles of $\text{0.4 mm}$ diameter with a shape factor of $0.84$ and specific gravity of $2.55$. The depth of the ...
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For a given traverse, latitudes and departures are calculated and it is found that sum of latitudes is equal to $\text{+2.1 m}$ and the sum of departures is equal to $\te...
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From laboratory investigations, the liquid limit, plastic limit, natural moisture content and flow index of a soil specimen are obtained as $60\%, 27\%, 32\%$ and $27$, r...
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A function is defined in Cartesian coordinate system as $f(x,y)=xe^{y}$. The value of the directional derivative of the function ($\textit{in integer}$) at the point $(2,...
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An elevated cylindrical water storage tank is shown in the figure. The tank has inner diameter of $\text{1.5 m}$. It is supported on a solid steel circular column of diam...
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A prismatic fixed-fixed beam, modelled with a total lumped-mass of $\text{10 kg}$ as a single degree of freedom $\text{(SDOF)}$ system is shown in the figure.If the flexu...
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The activity details for a small project are given in the Table.$$\begin{array}{|cl|cI|cI|}\hline&\textbf{Activity} & \textbf{Duration (days)} & \textbf{Depends on} \\ \h...
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The soil profile at a road construction site is as shown in figure (not to scale). A large embankment is to be constructed at the site. The ground water table $\text{(GWT...