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282
GATE Civil 2022 Set 2 | Question: 35
Let $y$ be a non-zero vector of size $2022 \times 1.$ Which of the following statement(s) is/are $\text{TRUE}?$ $yy^{T}$ is a symmetric matrix. $y^{T}y$ is an eigenvalue of $yy^{T}.$ $yy^{T}$ has a rank of $2022.$ $yy^{T}$ is invertible.
Let $y$ be a non-zero vector of size $2022 \times 1.$ Which of the following statement(s) is/are $\text{TRUE}?$$yy^{T}$ is a symmetric matrix.$y^{T}y$ is an eigenvalue of...
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286
GATE Civil 2022 Set 2 | Question: 39
A pair of six-faced dice is rolled thrice. The probability that the sum of the outcomes in each roll equals $4$ in exactly two of the three attempts is _______. (round off to three decimal places)
A pair of six-faced dice is rolled thrice. The probability that the sum of the outcomes in each roll equals $4$ in exactly two of the three attempts is _______. (round of...
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290
GATE Civil 2022 Set 2 | Question: 43
The activities of a project are given in the following table along with their durations and dependency. ... $\text{E}$ (in $\textbf{days}$) is ___________. (in integer)
The activities of a project are given in the following table along with their durations and dependency.$$ \begin{array} {|c|c|c|} \hline \textbf{Activities}& \textbf{Dura...
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300
GATE Civil 2022 Set 2 | Question: 53
Assuming that traffic on a highway obeys the Greenshields model, the speed of a shockwave between two traffic streams $\text{(P)}$ and $\text{(Q)}$ as shown in the schematic is _________ $\text{kmph}$ ...
Assuming that traffic on a highway obeys the Greenshields model, the speed of a shockwave between two traffic streams $\text{(P)}$ and $\text{(Q)}$ as shown in the schema...
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305
GATE Civil 2022 Set 1 | Question: 3
The hoop stress at a point on the surface of a thin cylindrical pressure vessel is computed to be $30.0\text{ MPa}$. The value of maximum shear stress at this point is $7.5 \text{ MPa}$ $15.0 \text{ MPa}$ $30.0 \text{ MPa}$ $22.5\text{ MPa}$
The hoop stress at a point on the surface of a thin cylindrical pressure vessel is computed to be $30.0\text{ MPa}$. The value of maximum shear stress at this point is$7...
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311
GATE Civil 2022 Set 1 | Question: 9
With respect to fluid flow, match the following in Column $X$ with Column $Y$ ... $\text{(P) - (II), (Q) - (IV), (R) - (III), (S) - (I)}$
With respect to fluid flow, match the following in Column $X$ with Column $Y$:$$\begin{array}{|l|l|} \hline \qquad \textbf{Column X} & \qquad \textbf{Column Y} \\ \hline...
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316
GATE Civil 2022 Set 1 | Question: 14
A line between stations $P$ and $Q$ laid on a slope of $1$ in $5$ was measured as $350\; m$ using a $50\; m$ tape. The tape is known to be shortly by $0.1\; m$. The corrected horizontal length (in $m$) of the line $\text{PQ}$ will be $342.52$ $349.30$ $356.20$ $350.70$
A line between stations $P$ and $Q$ laid on a slope of $1$ in $5$ was measured as $350\; m$ using a $50\; m$ tape. The tape is known to be shortly by $0.1\; m$.The correc...
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317
GATE Civil 2022 Set 1 | Question: 15
The matrix $M$ is defined as $M = \begin{bmatrix} 1 & 3\\ 4 & 2 \end{bmatrix}$ and has eigenvalues $5$ and $-2$. The matrix $Q$ is formed as $Q = M^{3} - 4M^{2} - 2M$ which of the following is/are the eigenvalues(s) of matrix $Q$? $15$ $25$ $-20$ $-30$
The matrix $M$ is defined as $$M = \begin{bmatrix} 1 & 3\\ 4 & 2 \end{bmatrix}$$ and has eigenvalues $5$ and $-2$. The matrix $Q$ is formed as $$Q = M^{3} - 4M^{2} - 2M$$...
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319
GATE Civil 2022 Set 1 | Question: 17
Which of the following process(es) can be used for conversion of salt water into fresh water? Microfiltration Electrodialysis Ultrafiltration Reverse osmosis
Which of the following process(es) can be used for conversion of salt water into fresh water?MicrofiltrationElectrodialysisUltrafiltrationReverse osmosis
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