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1
GATE Civil 2021 Set 2 | Question: 1
The value of $\lim \limits_{x\rightarrow \infty } \dfrac{x \:\text{ln}\left ( x \right )}{1+x^{2}}$ is $0$ $1.0$ $0.5$ $\infty$
The value of $\lim \limits_{x\rightarrow \infty } \dfrac{x \:\text{ln}\left ( x \right )}{1+x^{2}}$ is$0$$1.0$$0.5$$\infty$
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GATE Civil 2021 Set 2 | Question: 2
The rank of the matrix $\begin{bmatrix} 5 & 0 & -5 & 0\\ 0 & 2 & 0 & 1\\ -5 & 0 & 5 & 0\\ 0 & 1 & 0 & 2 \end{bmatrix}$ is $1$ $2$ $3$ $4$
The rank of the matrix $\begin{bmatrix} 5 & 0 & -5 & 0\\ 0 & 2 & 0 & 1\\ -5 & 0 & 5 & 0\\ 0 & 1 & 0 & 2 \end{bmatrix}$ is$1$$2$$3$$4$
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GATE Civil 2021 Set 2 | Question: 4
If $\text{A}$ is a square matrix then orthogonality property mandates $AA^{T}=I$ $AA^{T}=0$ $AA^{T}=A^{-1}$ $AA^{T}=A^{2}$
If $\text{A}$ is a square matrix then orthogonality property mandates$AA^{T}=I$$AA^{T}=0$$AA^{T}=A^{-1}$$AA^{T}=A^{2}$
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GATE Civil 2021 Set 2 | Question: 10
The most appropriate triaxial test to assess the long-term stability of an excavated clay slope is consolidated drained test unconsolidated undrained test consolidated undrained test unconfined compression test
The most appropriate triaxial test to assess the long-term stability of an excavated clay slope isconsolidated drained testunconsolidated undrained testconsolidated undra...
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GATE Civil 2021 Set 2 | Question: 12
The ratio of the momentum correction factor to the energy correction factor for a laminar flow in a pipe is $\frac{1}{2}$ $\frac{2}{3}$ $1$ $\frac{3}{2}$
The ratio of the momentum correction factor to the energy correction factor for a laminar flow in a pipe is$\frac{1}{2}$$\frac{2}{3}$$1$$\frac{3}{2}$
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GATE Civil 2021 Set 2 | Question: 18
The value ($\textit{round off to one decimal place}$) of $\int_{-1}^{1}x\:e^{\left | x \right |}dx$ is ______________
The value ($\textit{round off to one decimal place}$) of $\int_{-1}^{1}x\:e^{\left | x \right |}dx$ is ______________
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GATE Civil 2021 Set 2 | Question: 25
A horizontal angle $\theta$ ... $\theta$ ( in degree, $\textit{round off to two decimal places}$is _________________
A horizontal angle $\theta$ is measured by four different surveyors multiple times and the values reported are given below.$$\begin{array}{|lc|cI|cI|cI|cI|cI|}\hline&\tex...
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GATE Civil 2021 Set 2 | Question: 26
If $\text{k}$ is a constant, the general solution of $\dfrac{dy}{dx}-\dfrac{y}{x}=1$ will be in the form of $y=x\text{ ln}(kx)$ $y=k\text{ ln}(kx)$ $y=x\text{ ln}(x)$ $y=xk\text{ ln}(k)$
If $\text{k}$ is a constant, the general solution of $\dfrac{dy}{dx}-\dfrac{y}{x}=1$ will be in the form of$y=x\text{ ln}(kx)$$y=k\text{ ln}(kx)$$y=x\text{ ln}(x)$$y=xk\t...
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GATE Civil 2021 Set 2 | Question: 42
The activity details for a small project are given in the Table. ... $\text{days}, \textit{in integer}$) for project completion is __________________________
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...