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Questions by Arjun
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41
GATE Civil 2024 Set 2 | Question: 31
A round-bottom triangular lined canal is to be laid at a slope of $1$ in $1500$, to carry a discharge of $25 \mathrm{~m}^{3} / \mathrm{s}$. The side slopes of the canal cross-section are to be kept at $1.25 \mathrm{H}: 1 \mathrm{~V}$. If Manning's roughness ... be in the range of $2.39$ to $2.42$ $1.94$ to $1.97$ $2.24$ to $2.27$ $2.61$ to $2.64$
A round-bottom triangular lined canal is to be laid at a slope of $1$ in $1500$, to carry a discharge of $25 \mathrm{~m}^{3} / \mathrm{s}$. The side slopes of the canal c...
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GATE Civil 2024 Set 2 | Question: 32
A hypothetical multimedia filter, consisting of anthracite particles (specific gravity: $1.50$), silica sand (specific gravity: $2.60$), and ilmenite sand (specific gravity: $4.20$), is to be designed for treating water/wastewater. After backwashing, the ... than $0.64 \mathrm{~mm}$ and diameter of ilmenite particles is slightly less than $0.10 \mathrm{~mm}$.
A hypothetical multimedia filter, consisting of anthracite particles (specific gravity: $1.50$), silica sand (specific gravity: $2.60$), and ilmenite sand (specific gravi...
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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 2 | Question: 34
Three vectors $\overrightarrow{\mathrm{p}}, \overrightarrow{\mathrm{q}}$, and $\overrightarrow{\mathrm{r}}$ are given as \[ \begin{array}{c} \overrightarrow{\mathrm{p}}=\hat{\imath}+\hat{\jmath}+\hat{k} \\ \overrightarrow{\mathrm ...
Three vectors $\overrightarrow{\mathrm{p}}, \overrightarrow{\mathrm{q}}$, and $\overrightarrow{\mathrm{r}}$ are given as\[\begin{array}{c}\overrightarrow{\mathrm{p}}=\hat...
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Feb 16
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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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Feb 16
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GATE Civil 2024 Set 2 | Question: 36
In the context of pavement material characterization, the CORRECT statement(s) is/are The load penetration curve of $\text{CBR}$ test may need origin correction due to the non-vertical penetrating plunger of the loading machine. The toughness and hardness of ... total volume of air voids $\left(V_{v}\right)$ and total volume of bitumen $\left(V_{b}\right)$.
In the context of pavement material characterization, the CORRECT statement(s) is/areThe load penetration curve of $\text{CBR}$ test may need origin correctio...
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Feb 16
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GATE Civil 2024 Set 2 | Question: 37
The expression for computing the effective interest rate $\left(i_{\text {eff }}\right)$ using continuous compounding for a nominal interest rate of $5 \%$ is \[ i_{\text {eff }}=\lim _{m \rightarrow \infty}\left(1+\frac{0.05}{m}\right)^{m}-1 \] The effective interest rate (in percentage) is $\_\_\_\_\_\_$ (rounded off to $2$ decimal places).
The expression for computing the effective interest rate $\left(i_{\text {eff }}\right)$ using continuous compounding for a nominal interest rate of $5 \%$ is\[i_{\text {...
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Feb 16
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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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Feb 16
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GATE Civil 2024 Set 2 | Question: 39
For the $6 \mathrm{~m}$ long horizontal cantilever beam $\mathrm{PQR}$ shown in the figure, $\mathrm{Q}$ is the midpoint. Segment $\mathrm{PQ}$ of the beam has flexural rigidity $\mathrm{EI}=2 \times 10^{5} \mathrm{kN. \textrm {m } ^ { 2 }}$ whereas the ... (in $\mathrm{mm}$ ) at point $\mathrm{Q}$ is $\_\_\_\_\_\_\_$ (rounded off to $3$ decimal places).
For the $6 \mathrm{~m}$ long horizontal cantilever beam $\mathrm{PQR}$ shown in the figure, $\mathrm{Q}$ is the midpoint. Segment $\mathrm{PQ}$ of the beam has flexural r...
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Feb 16
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GATE Civil 2024 Set 2 | Question: 40
The horizontal beam $\mathrm{PQRS}$ shown in the figure has a fixed support at point $\mathrm{P}$, an internal hinge at point $Q$, and a pin support at point $R$. A concentrated vertically downward load $(V)$ of $10 \mathrm{kN}$ can act at any point over the ... $\mathrm{P}$ due to $V$ is $\_\_\_\_\_\_$ (in integer).
The horizontal beam $\mathrm{PQRS}$ shown in the figure has a fixed support at point $\mathrm{P}$, an internal hinge at point $Q$, and a pin support at point $R$. A conce...
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GATE Civil 2024 Set 2 | Question: 41
A concrete column section of size $300 \mathrm{~mm} \times 500 \mathrm{~mm}$ as shown in the figure is subjected to both axial compression and bending along the major axis. The depth of the neutral axis $\left(x_{u}\right)$ is $1.1$ times the depth of the ... tension in the section, is $\_\_\_\_\_\_\_$ $\times 10^{-3}$ (rounded off to $2$ decimal places).
A concrete column section of size $300 \mathrm{~mm} \times 500 \mathrm{~mm}$ as shown in the figure is subjected to both axial compression and bending along the major axi...
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Feb 16
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GATE Civil 2024 Set 2 | Question: 42
The table shows the activities and their durations and dependencies in a project. \begin{array}{|c|c|c|} \hline \text{Activity} & \text{Duration (Days)} & \text{Depends on} \\ \hline \text{A} & 8 & - \\ \hline \text{B} & 4 & \text{ ... , K} \\ \hline \end{array} The total duration (in days) of the project is $\_\_\_\_\_\_\_$ (in integer).
The table shows the activities and their durations and dependencies in a project.\begin{array}{|c|c|c|}\hline \text{Activity} & \text{Duration (Days)} & \text{Depends on}...
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Feb 16
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GATE Civil 2024 Set 2 | Question: 43
A homogeneous earth dam has a maximum water head difference of $15 \mathrm{~m}$ between the upstream and downstream sides. A flownet was drawn with the number of potential drops as 10 and the average length of the element as $3 \mathrm{~m}$. Specific gravity of the ... failure, void ratio of the soil is $\_\_\_\_\_\_\_\_\_$ (rounded off to $2$ decimal places).
A homogeneous earth dam has a maximum water head difference of $15 \mathrm{~m}$ between the upstream and downstream sides. A flownet was drawn with the number of potentia...
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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 2024 Set 2 | Question: 45
A drained triaxial test was conducted on a saturated sand specimen using a stress-path triaxial testing system. The specimen failed when the axial stress reached a value of $100 \mathrm{kN} / \mathrm{m}^{2}$ ... (in degrees) with respect to horizontal is $\_\_\_\_\_\_\_\_$ (rounded off to the nearest integer).
A drained triaxial test was conducted on a saturated sand specimen using a stress-path triaxial testing system. The specimen failed when the axial stress reached a value ...
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Feb 16
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GATE Civil 2024 Set 2 | Question: 46
A storm with a recorded precipitation of $11.0 \mathrm{~cm}$, as shown in the table, produced a direct run-off of $6.0 \mathrm{~cm}$. Time from start (hours) $1$ $2$ $3$ $4$ $5$ $6$ $7$ $8$ Recorded cumulative precipitation$(\mathrm{cm})$ $0.5$ ... $\_\_\_\_\_\_\_\_$ $\mathrm{cm} / \mathrm{hr}$ (rounded off to $2$ decimal places).
A storm with a recorded precipitation of $11.0 \mathrm{~cm}$, as shown in the table, produced a direct run-off of $6.0 \mathrm{~cm}$.Time from start (hours)$1$$2$$3$$4$$5...
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Feb 16
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GATE Civil 2024 Set 2 | Question: 47
A $500 \mathrm{~m}$ long water distribution pipeline $\text{P}$ with diameter $1.0 \mathrm{~m}$, is used to convey $0.1 \mathrm{~m}^{3} / \mathrm{s}$ of flow. A new pipeline $\text{Q}$ ... respectively. The diameter of the pipeline $\text{Q}$ (in meters) is $\_\_\_\_\_\_$ (rounded off to $2$ decimal places).
A $500 \mathrm{~m}$ long water distribution pipeline $\text{P}$ with diameter $1.0 \mathrm{~m}$, is used to convey $0.1 \mathrm{~m}^{3} / \mathrm{s}$ of flow. A new pipel...
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Feb 16
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GATE Civil 2024 Set 2 | Question: 48
A $2 \mathrm{~m} \times 1.5 \mathrm{~m}$ tank of $6 \mathrm{~m}$ height is provided with a $100 \mathrm{~mm}$ diameter orifice at the center of its base. The orifice is plugged and the tank is filled up to $5 \mathrm{~m}$ height. Consider the ... to $3.5 \mathrm{~m}$ under free discharge condition is $\_\_\_\_\_\_\_\_$ (rounded off to $2$ decimal places).
A $2 \mathrm{~m} \times 1.5 \mathrm{~m}$ tank of $6 \mathrm{~m}$ height is provided with a $100 \mathrm{~mm}$ diameter orifice at the center of its base. The orifice is p...
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GATE Civil 2024 Set 2 | Question: 49
A rectangular channel is $4.0 \mathrm{~m}$ wide and carries a discharge of $2.0 \mathrm{~m}^{3} / \mathrm{s}$ with a depth of $0.4 \mathrm{~m}$. The channel transitions to a maximum width contraction at a downstream location, without influencing the ... . The width (in meters) at the maximum contraction is $\_\_\_\_\_\_\_$ (rounded off to $2$ decimal places).
A rectangular channel is $4.0 \mathrm{~m}$ wide and carries a discharge of $2.0 \mathrm{~m}^{3} / \mathrm{s}$ with a depth of $0.4 \mathrm{~m}$. The channel transitions t...
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Feb 16
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GATE Civil 2024 Set 2 | Question: 50
A circular settling tank is to be designed for primary treatment of sewage at a flow rate of $10$ million liters/day. Assume a detention period of $2.0$ hours and surface loading rate of $40000$ liters $/ \mathrm{m}^{2} /$ day. The height (in meters) of the water column in the tank is $\_\_\_\_\_\_\_$ (rounded off to $2$ decimal places).
A circular settling tank is to be designed for primary treatment of sewage at a flow rate of $10$ million liters/day. Assume a detention period of $2.0$ hours and surface...
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Feb 16
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GATE Civil 2024 Set 2 | Question: 51
An organic waste is represented as $\mathrm{C}_{240} \mathrm{O}_{200} \mathrm{H}_{180} \mathrm{~N}_{5} \mathrm{~S}$. (Atomic weights: $\mathrm{S}-32, \mathrm{H}-1, \mathrm{C}-12, \mathrm{O}-16, \mathrm{~N}-14$ ... $\mathrm{kg}$ of this waste is $\_\_\_\_\_\_\_$ (rounded off to $1$ decimal place).
An organic waste is represented as $\mathrm{C}_{240} \mathrm{O}_{200} \mathrm{H}_{180} \mathrm{~N}_{5} \mathrm{~S}$.(Atomic weights: $\mathrm{S}-32, \mathrm{H}-1, \mathrm...
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GATE Civil 2024 Set 2 | Question: 52
A horizontal curve of radius $1080 \mathrm{~m}$ (with transition curves on either side) in a Broad Gauge railway track is designed and constructed for an equilibrium speed of $70 \mathrm{kmph}$. However, a few years after construction, the Railway Authorities ... the express trains running on this track is $\_\_\_\_\_\_\_$ (rounded off to the nearest integer).
A horizontal curve of radius $1080 \mathrm{~m}$ (with transition curves on either side) in a Broad Gauge railway track is designed and constructed for an equilibrium spee...
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GATE Civil 2024 Set 2 | Question: 53
A vertical summit curve on a freight corridor is formed at the intersection of two gradients, $+3.0 \%$ and $-5.0 \%$. Assume the following: Only large-sized trucks are allowed on this corridor Design speed $=80 \mathrm{kmph}$ Eye height of truck drivers ... ) to accommodate the stopping sight distance is $\_\_\_\_\_\_\_\_\_$ (rounded off to $2$ decimal places).
A vertical summit curve on a freight corridor is formed at the intersection of two gradients, $+3.0 \%$ and $-5.0 \%$.Assume the following:Only large-sized trucks are all...
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GATE Civil 2024 Set 2 | Question: 54
A child walks on a level surface from point $\text{P}$ to point $\text{Q}$ at a bearing of $30^{\circ}$, from point $\mathrm{Q}$ to point $\mathrm{R}$ at a bearing of $90^{\circ}$ ... degrees, the straight-line path length $\text{RP}$ (in meters) is $\_\_\_\_\_\_\_$ (rounded off to the nearest integer).
A child walks on a level surface from point $\text{P}$ to point $\text{Q}$ at a bearing of $30^{\circ}$, from point $\mathrm{Q}$ to point $\mathrm{R}$ at a bearing of $90...
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GATE Civil 2024 Set 2 | Question: 55
Differential levelling is carried out from point $\text{P(B M}:+200.000 \mathrm{~m})$ to point $\text{R}$. The readings taken are given in the table. Points Staff readings (m) Remarks Back Sight Fore Sight P $(-) 2.050$ BM: $+200.000 \mathrm{~m}$ ... Level (in meters) of the point $\mathrm{R}$ is $\_\_\_\_\_\_\_\_$ (rounded off to $3$ decimal places).
Differential levelling is carried out from point $\text{P(B M}:+200.000 \mathrm{~m})$ to point $\text{R}$. The readings taken are given in the table.PointsStaff readings ...
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GATE Civil 2022 Set 2 | GA Question: 1
The movie was funny and I __________. could help laughing couldn’t help laughed couldn’t help laughing could helped laughed
The movie was funny and I __________.could help laughingcouldn’t help laughedcouldn’t help laughingcould helped laughed
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Feb 15, 2022
Verbal Aptitude
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GATE Civil 2022 Set 2 | GA Question: 2
$x:y:z = \frac{1}{2} : \frac{1}{3} : \frac{1}{4}.$ What is the value of $\frac{x+z-y}{y} ?$ $0.75$ $1.25$ $2.25$ $3.25$
$x:y:z = \frac{1}{2} : \frac{1}{3} : \frac{1}{4}.$What is the value of $\frac{x+z-y}{y} ?$$0.75$$1.25$$2.25$$3.25$
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Feb 15, 2022
Quantitative Aptitude
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GATE Civil 2022 Set 2 | GA Question: 3
Both the numerator and the denominator of $\dfrac{3}{4}$ are increased by a positive integer, $x,$ and those of $\dfrac{15}{17}$ are decreased by the same integer. This operation results in the same value for both the fractions. What is the value of $x ?$ $1$ $2$ $3$ $4$
Both the numerator and the denominator of $\dfrac{3}{4}$ are increased by a positive integer, $x,$ and those of $\dfrac{15}{17}$ are decreased by the same integer. This o...
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Feb 15, 2022
Quantitative Aptitude
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GATE Civil 2022 Set 2 | GA Question: 4
A survey of $450$ students about their subjects of interest resulted in the following outcome. $150$ students are interested in Mathematics. $200$ students are interested in Physics. $175$ students are interested in Chemistry. $50$ students are ... Based on the above information, the number of students interested in Humanities is $10$ $30$ $40$ $45$
A survey of $450$ students about their subjects of interest resulted in the following outcome.$150$ students are interested in Mathematics.$200$ students are interested i...
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Feb 15, 2022
Quantitative Aptitude
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GATE Civil 2022 Set 2 | GA Question: 5
For the picture shown above, which one of the following is the correct picture representing reflection with respect to the mirror shown as the dotted line?
For the picture shown above, which one of the following is the correct picture representing reflection with respect to the mirror shown as the dotted line?
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Feb 15, 2022
Spatial Aptitude
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GATE Civil 2022 Set 2 | GA Question: 6
In the last few years, several new shopping malls were opened in the city. The total number of visitors in the malls is impressive. However, the total revenue generated through sales in the shops in these malls is generally low. ... spending enough More people are visiting the malls and spending more Fewer people are visiting the malls and not spending enough
In the last few years, several new shopping malls were opened in the city. The total number of visitors in the malls is impressive. However, the total revenue generated t...
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Feb 15, 2022
Verbal Aptitude
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GATE Civil 2022 Set 2 | GA Question: 7
In a partnership business, the monthly investment by three friends for the first six months is in the ratio $3:4:5.$ After six months, they had to increase their monthly investments by $10 \%, 15 \%, \; \text{and} \; 20 \%,$ respectively, of ... is proportional to their individual total investment over the year? $22:23:24$ $22:33:50$ $33:46:60$ $63:86:110$
In a partnership business, the monthly investment by three friends for the first six months is in the ratio $3:4:5.$ After six months, they had to increase their monthly ...
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Feb 15, 2022
Quantitative Aptitude
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GATE Civil 2022 Set 2 | GA Question: 8
Consider the following equations of straight lines: $\text{Line L1}: 2x - 3y = 5$ $\text{Line L2}: 3x + 2y = 8$ $\text{Line L3}: 4x - 6y = 5$ $\text{Line L4}: 6x - 9y = 6$ Which one among the following is the correct statement? $\text{L1}$ ... $\text{L2}$ $\text{L4}$ is perpendicular to $\text{L2}$ and $\text{L4}$ is parallel to $\text{L3}$
Consider the following equations of straight lines:$\text{Line L1}: 2x – 3y = 5$$\text{Line L2}: 3x + 2y = 8$$\text{Line L3}: 4x – 6y = 5$$\text{Line L4}: 6x – 9y =...
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Feb 15, 2022
Quantitative Aptitude
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GATE Civil 2022 Set 2 | GA Question: 9
Given below are two statements and four conclusions drawn based on the statements. Statement $1:$ Some soaps are clean. Statement $2:$ All clean objects are wet. Conclusion $\text{I}$: Some clean objects are soaps. Conclusion $\text{II}$: No clean ... $\text{IV}$ is correct Only conclusion $\text{I}$ and conclusion $\text{III}$ are correct
Given below are two statements and four conclusions drawn based on the statements.Statement $1:$ Some soaps are clean.Statement $2:$ All clean objects are wet.Conclusion ...
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Feb 15, 2022
Analytical Aptitude
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GATE Civil 2022 Set 2 | GA Question: 10
An ant walks in a straight line on a plane leaving behind a trace of its movement. The initial position of the ant is at point $\text{P}$ facing east. The ant first turns $72^{\circ} $ anticlockwise at $\text{P},$ and then does the following two steps ... $144^{\circ}$ clockwise. The pattern made by the trace left behind by the ant is A. B. C. D.
An ant walks in a straight line on a plane leaving behind a trace of its movement. The initial position of the ant is at point $\text{P}$ facing east.The ant first turns ...
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Feb 15, 2022
Analytical Aptitude
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GATE Civil 2022 Set 2 | Question: 1
The function $f(x,y)$ satisfies the Laplace equation $\bigtriangledown^{2}f(x,y) = 0$ on a circular domain of radius $r=1$ with its center at point $P$ with coordinates $x=0, y=0.$ The value of this function on the circular boundary of this domain is equal to $3.$ The numerical value of $f(0,0)$ is: $0$ $2$ $3$ $1$
The function $f(x,y)$ satisfies the Laplace equation $$\bigtriangledown^{2}f(x,y) = 0$$on a circular domain of radius $r=1$ with its center at point $P$ with coordinates$...
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Feb 15, 2022
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GATE Civil 2022 Set 2 | Question: 2
$\displaystyle{}\int \left( x-\frac{x^{2}}{2} + \frac{x^{3}}{3} – \frac{x^{4}}{4} + \dots \right) dx$ is equal to $\frac{1}{1+x} + $ Constant $\frac{1}{1+x^{2}} + $ Constant $-\frac{1}{1-x} + $ Constant $-\frac{1}{1-x^{2}} + $ Constant
$\displaystyle{}\int \left( x-\frac{x^{2}}{2} + \frac{x^{3}}{3} – \frac{x^{4}}{4} + \dots \right) dx$ is equal to$\frac{1}{1+x} + $ Constant$\frac{1}{1+x^{2}} + $ Cons...
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Feb 15, 2022
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GATE Civil 2022 Set 2 | Question: 3
For a linear elastic and isotropic material, the correct relationship among Young’s modulus of elasticity $(E)$, Poisson’s ratio $(\nu),$ and shear modulus $(G)$ is $G= \frac{E}{2(1+\nu)}$ $G= \frac{E}{(1+2\nu)}$ $E= \frac{G}{2(1+\nu)}$ $E= \frac{G}{(1+2\nu)}$
For a linear elastic and isotropic material, the correct relationship among Young’s modulus of elasticity $(E)$, Poisson’s ratio $(\nu),$ and shear modulus $(G)$ is$G...
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GATE Civil 2022 Set 2 | Question: 4
Read the following statements relating to flexure of reinforced concrete beams: In over-reinforced sections, the failure strain in concrete reaches earlier than the yield strain in steel. In under-reinforced sections, steel reaches yielding at a load lower than the load at which ... $\text{I(False), II(True), III(True), IV(False)}$
Read the following statements relating to flexure of reinforced concrete beams:In over-reinforced sections, the failure strain in concrete reaches earlier than the yield ...
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Feb 15, 2022
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GATE Civil 2022 Set 2 | Question: 5
Match all the possible combinations between Column X (Cement compounds) and Column Y (Cement properties): ... $\text{(i) - (T), (ii) - (S), (iii) - (P) and (Q)}$
Match all the possible combinations between Column X (Cement compounds) and Column Y (Cement properties):$$\begin{array} {|l|l|} \hline \textbf{Column X} & \qquad \textbf...
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Feb 15, 2022
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