Recent questions tagged gatecivil-2023-set2 / GO Civil

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GATE Civil 2023 Set 2 | GA Question: 1
The line ran _________ the page, right through the centre, and divided the page into two. across of between about

The line ran _________ the page, right through the centre, and divided the page into two. across of betweenabout

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GATE Civil 2023 Set 2 | GA Question: 2
Kind : _________ :: Often : Seldom (By word meaning) Cruel Variety Type Kindred

Kind : _________ :: Often : Seldom(By word meaning)CruelVarietyType Kindred

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GATE Civil 2023 Set 2 | GA Question: 3
In how many ways can cells in a $3 \times 3 $ grid be shaded, such that each row and each column have exactly one shaded cell? An example of one valid shading is shown. $2$ $9$ $3$ $6$

In how many ways can cells in a $3 \times 3 $ grid be shaded, such that each row and each column have exactly one shaded cell? An example of one valid shading is shown. ...

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4

GATE Civil 2023 Set 2 | GA Question: 4
There are $4$ red, $5$ green, and 6 blue balls inside a box. If $N$ number of balls are picked simultaneously, what is the smallest value of $N$ that guarantees there will be at least two balls of the same colour? One cannot see the colour of the balls until they are picked. $4$ $15$ $5$ $2$

There are $4$ red, $5$ green, and 6 blue balls inside a box. If $N$ number of balls are picked simultaneously, what is the smallest value of $N$ that guarantees there wil...

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GATE Civil 2023 Set 2 | GA Question: 5
Consider a circle with its centre at the origin $(\mathrm{O})$, as shown. Two operations are allowed on the circle. Operation $1:$ Scale independently along the $\mathrm{x}$ and $\mathrm{y}$ axes. Operation $2:$ Rotation ... about the origin. Which figure among the options can be achieved through a combination of these two operations on the given circle?

Consider a circle with its centre at the origin $(\mathrm{O})$, as shown. Two operations are allowed on the circle.Operation $1:$ Scale independently along the $\mathrm{x...

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GATE Civil 2023 Set 2 | GA Question: 6
Elvesland is a country that has peculiar beliefs and practices. They express almost all their emotions by gifting flowers. For instance, if anyone gifts a white flower to someone, then it is always taken to be a declaration of one's love for that person. In a similar ... gifting a white flower only (ii) (i), (ii) and (iii) (i), (iii) and (iv) only (iv)

Elvesland is a country that has peculiar beliefs and practices. They express almost all their emotions by gifting flowers. For instance, if anyone gifts a white flower to...

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7

GATE Civil 2023 Set 2 | GA Question: 7
Three husband-wife pairs are to be seated at a circular table that has six identical chairs. Seating arrangements are defined only by the relative position of the people. How many seating arrangements are possible such that every husband sits next to his wife? $16$ $4$ $120$ $720$

Three husband-wife pairs are to be seated at a circular table that has six identical chairs. Seating arrangements are defined only by the relative position of the people....

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GATE Civil 2023 Set 2 | GA Question: 8
Based only on the following passage, which one of the options can be inferred with certainty? When the congregation sang together, Apenyo would also join, though her little screams were not quite audible because of the group singing. But ... had inherited her love of singing from her father. When Apenyo hummed at home, her mother tended to become thoughtful.

Based only on the following passage, which one of the options can be inferred with certainty?When the congregation sang together, Apenyo would also join, though her littl...

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9

GATE Civil 2023 Set 2 | GA Question: 9
If $x$ satisfies the equation $4^{8^{x}}=256$, then $x$ is equal to __________. $\frac{1}{2}$ $\log _{16} 8$ $\frac{2}{3}$ $\log _{4} 8$

If $x$ satisfies the equation $4^{8^{x}}=256$, then $x$ is equal to __________.$\frac{1}{2}$ $\log _{16} 8$$\frac{2}{3}$$\log _{4} 8$

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10

GATE Civil 2023 Set 2 | GA Question: 10
Consider a spherical globe rotating about an axis passing through its poles. There are three points $P, Q,$ and $R$ situated respectively on the equator, the north pole, and midway between the equator and the north pole in the northern hemisphere ... following options is CORRECT? $v_P<v_R<v_Q$ $v_P<v_Q<v_R $ $v_P>v_R>v_Q $ $v_P=v_R \neq v_Q$

Consider a spherical globe rotating about an axis passing through its poles. There are three points $P, Q,$ and $R$ situated respectively on the equator, the north pole, ...

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11

GATE Civil 2023 Set 2 | Question: 1
Let $\phi$ be a scalar field, and $\boldsymbol{u}$ be a vector field. Which of the following identities is true for $\operatorname{div}(\phi \boldsymbol{u})$ ...

Let $\phi$ be a scalar field, and $\boldsymbol{u}$ be a vector field. Which of the following identities is true for $\operatorname{div}(\phi \boldsymbol{u})$? $\operatorn...

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12

GATE Civil 2023 Set 2 | Question: 2
Which of the following probability distribution functions (PDFs) has the mean greater than the median? Function $1$ Function $2$ Function $3$ Function $4$

Which of the following probability distribution functions (PDFs) has the mean greater than the median?Function $1$Function $2$Function $3$Function $4$

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GATE Civil 2023 Set 2 | Question: 3
A remote village has exactly $1000$ vehicles with sequential registration numbers starting from $ 1000.$ Out of the total vehicles, $ 30 \% $ are without pollution clearance certificate. Further, even- and odd-numbered vehicles are operated on ... date, the number of vehicles expected without pollution clearance certificate is ___________. $15$ $30$ $50$ $70$

A remote village has exactly $1000$ vehicles with sequential registration numbers starting from $ 1000.$ Out of the total vehicles, $ 30 \% $ are without pollution clear...

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14

GATE Civil 2023 Set 2 | Question: 4
A circular solid shaft of span $L=5 \mathrm{~m}$ is fixed at one end and free at the other end. A torque $T=100 \mathrm{~kN}$ ... $\text{Statement i)}$ is wrong, but $\text{Statement ii)}$ is correct Both the statements are wrong

A circular solid shaft of span $L=5 \mathrm{~m}$ is fixed at one end and free at the other end. A torque $T=100 \mathrm{~kN}$.m is applied at the free end. The shear modu...

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15

GATE Civil 2023 Set 2 | Question: 5
$\text{M20}$ concrete as per $\mathrm{IS~} 456: 2000$ refers to concrete with a design mix having ____________ an average cube strength of $20~ \mathrm{MPa}$ an average cylinder strength of $20~ \mathrm{MPa}$ a $5$-percentile cube strength of $20~ \mathrm{MPa}$ a $5$-percentile cylinder strength of $20~ \mathrm{MPa}$

$\text{M20}$ concrete as per $\mathrm{IS~} 456: 2000$ refers to concrete with a design mix having ____________an average cube strength of $20~ \mathrm{MPa}$an average cyl...

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16

GATE Civil 2023 Set 2 | Question: 6
When a simply-supported elastic beam of span $L$ and flexural rigidity $E I$ ( $E$ is the modulus of elasticity and $I$ is the moment of inertia of the section) is loaded with a uniformly distributed load $w$ per unit length, the deflection at ... to a value less than $\Delta_0 / 2$ reduces to a value greater than $\Delta_0 / 2$ remains unchanged at $\Delta_0$

When a simply-supported elastic beam of span $L$ and flexural rigidity $E I$ ( $E$ is the modulus of elasticity and $I$ is the moment of inertia of the section) is loaded...

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17

GATE Civil 2023 Set 2 | Question: 7
Muller-Breslau principle is used in analysis of structures for ___________. drawing an influence line diagram for any force response in the structure writing the virtual work expression to get the equilibrium equation superposing the load ... response in the structure relating the deflection between two points in a member with the curvature diagram in-between

Muller-Breslau principle is used in analysis of structures for ___________.drawing an influence line diagram for any force response in the structure writing the virtual w...

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18

GATE Civil 2023 Set 2 | Question: 8
A standard penetration test (SPT) was carried out at a location by using a manually operated hammer dropping system with $50 \%$ efficiency. The recorded SPT value at a particular depth is $28.$ If an automatic hammer dropping system with $70 \%$ efficiency is used at the same location, the recorded SPT value will be ____________. $28$ $20$ $40$ $25$

A standard penetration test (SPT) was carried out at a location by using a manually operated hammer dropping system with $50 \%$ efficiency. The recorded SPT value at a p...

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19

GATE Civil 2023 Set 2 | Question: 9
A vertical sheet pile wall is installed in an anisotropic soil having coefficient of horizontal permeability, $k_{H}$ and coefficient of vertical permeability, $k_{V}.$ In order to draw the flow net for the isotropic condition, the embedment depth of the wall should be scaled by a factor of ... $\sqrt{\frac{k_{V}}{k_{H}}}$ $1.0 $ $\frac{k_{H}}{k_{V}}$

A vertical sheet pile wall is installed in an anisotropic soil having coefficient of horizontal permeability, $k_{H}$ and coefficient of vertical permeability, $k_{V}.$ I...

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20

GATE Civil 2023 Set 2 | Question: 10
Identify the cross-drainage work in the figure. Super passage Aqueduct Siphon aquedut Level crossing

Identify the cross-drainage work in the figure. Super passage Aqueduct Siphon aquedutLevel crossing

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21

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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22

GATE Civil 2023 Set 2 | Question: 12
In the context of Municipal Solid Waste Management, 'Haul' in 'Hauled Container System operated in conventional mode' includes the __________. time spent by the transport truck at the disposal site time spent by the transport truck in ... at a pickup point time spent by the transport truck in driving from the depot to the first pickup point

In the context of Municipal Solid Waste Management, 'Haul' in 'Hauled Container System operated in conventional mode' includes the __________.time spent by the transport ...

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23

GATE Civil 2023 Set 2 | Question: 13
Which of the following is equal to the stopping sight distance? (braking distance required to come to stop) $+$ (distance travelled during the perception-reaction time) (braking distance required to come to stop) $-$ (distance ... the perception-reaction time) (braking distance required to come to stop) (distance travelled during the perception-reaction time)

Which of the following is equal to the stopping sight distance?(braking distance required to come to stop) $+$ (distance travelled during the perception-reaction time) (b...

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24

GATE Civil 2023 Set 2 | Question: 14
The magnetic bearing of the sun for a location at noon is $ 183^{\circ} \; 30^{\prime}$. If the sun is exactly on the geographic meridian at noon, the magnetic declination of the location is ____________. $3^{\circ} \; 30^{\prime} ~ \mathrm{W}$ ... $93^{\circ} \; 30^{\prime} ~ \mathrm{W}$ $93^{\circ} \; 30^{\prime} ~ \mathrm{E}$

The magnetic bearing of the sun for a location at noon is $ 183^{\circ} \; 30^{\prime}$. If the sun is exactly on the geographic meridian at noon, the magnetic declinatio...

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25

GATE Civil 2023 Set 2 | Question: 15
For the matrix $[A]=\left[\begin{array}{ccc} 1 & -1 & 0 \\ -1 & 2 & -1 \\ 0 & -1 & 1 \end{array}\right]$ which of the following statements is/are TRUE? $[A]\{x\}=\{b\}$ has a unique solution $[A]\{x\}=\{b\}$ does not have a unique solution $[A]$ has three linearly independent eigenvectors $[A]$ is a positive definite matrix

For the matrix$[A]=\left[\begin{array}{ccc}1 & -1 & 0 \\-1 & 2 & -1 \\0 & -1 & 1\end{array}\right]$which of the following statements is/are TRUE?$[A]\{x\}=\{b\}$ has a un...

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26

GATE Civil 2023 Set 2 | Question: 16
In the frame shown in the figure (not to scale), all four members $\text{(AB, } \mathrm{BC}, \mathrm{CD}$, and $\mathrm{AD})$ have the same length and same constant flexural rigidity. All the joints $\text{A, B}$, $\mathrm{C}$, and $\mathrm{D}$ are ... $\mathrm{F}$ are zero Slopes at $\mathrm{E}, \mathrm{F}, \mathrm{G}$, and $\mathrm{H}$ are zero

In the frame shown in the figure (not to scale), all four members $\text{(AB, } \mathrm{BC}, \mathrm{CD}$, and $\mathrm{AD})$ have the same length and same constant flexu...

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27

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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28

GATE Civil 2023 Set 2 | Question: 18
The reason(s) of the nonuniform elastic settlement profile below a flexible footing, resting on a cohesionless soil while subjected to uniform loading, is/are: Variation of friction angle along the width of the footing Variation of soil ... Variation of friction angle along the depth of the footing Variation of soil stiffness along the depth of the footing

The reason(s) of the nonuniform elastic settlement profile below a flexible footing, resting on a cohesionless soil while subjected to uniform loading, is/are:Variation o...

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29

GATE Civil 2023 Set 2 | Question: 19
Which of the following is/are NOT active disinfectant(s) in water treatment? $\cdot \mathrm{OH}$ (hydroxyl radical) $\mathrm{O}_{3}$ (ozone) $\mathrm{OCl}^{-}$(hypochlorite ion) $\mathrm{Cl}^{-}$(chloride ion)

Which of the following is/are NOT active disinfectant(s) in water treatment? $\cdot \mathrm{OH}$ (hydroxyl radical)$\mathrm{O}_{3}$ (ozone) $\mathrm{OCl}^{-}$(hypochlorit...

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30

GATE Civil 2023 Set 2 | Question: 20
As per the Indian Roads Congress guidelines $\text{(IRC 86: 2018),}$ extra widening depends on which of the following parameters? Horizontal curve radius Superelevation Number of lanes Longitudinal gradient

As per the Indian Roads Congress guidelines $\text{(IRC 86: 2018),}$ extra widening depends on which of the following parameters? Horizontal curve radius Superelevation N...

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31

GATE Civil 2023 Set 2 | Question: 21
The steady-state temperature distribution in a square plate $\mathrm{ABCD}$ is governed by the $2$-dimensional Laplace equation. The side $\mathrm{AB}$ is kept at a temperature of $100{ }^{\circ} \mathrm{C}$ and the other three sides ... $T_{0}$ is _____________ (rounded off to two decimal places).

The steady-state temperature distribution in a square plate $\mathrm{ABCD}$ is governed by the $2$-dimensional Laplace equation. The side $\mathrm{AB}$ is kept at a tempe...

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32

GATE Civil 2023 Set 2 | Question: 22
An unconfined compression strength test was conducted on a cohesive soil. The test specimen failed at an axial stress of $76 ~ \mathrm{kPa}$. The undrained cohesion (in $\mathrm{kPa}$, in integer) of the soil is ______________.

An unconfined compression strength test was conducted on a cohesive soil. The test specimen failed at an axial stress of $76 ~ \mathrm{kPa}$. The undrained cohesion (in $...

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33

GATE Civil 2023 Set 2 | Question: 23
The pressure in a pipe at $\mathrm{X}$ is to be measured by an open manometer as shown in figure. Fluid $\mathrm{A}$ is oil with a specific gravity of 0.8 and Fluid $\mathrm{B}$ is mercury with a specific gravity of $13.6.$ ... as $9.81 \mathrm{~m} / \mathrm{s}^2$ and atmospheric pressure as $101.3 ~ \mathrm{kN} / \mathrm{m}^2$ ]

The pressure in a pipe at $\mathrm{X}$ is to be measured by an open manometer as shown in figure. Fluid $\mathrm{A}$ is oil with a specific gravity of 0.8 and Fluid $\mat...

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34

GATE Civil 2023 Set 2 | Question: 24
For the elevation and temperature data given in the table, the existing lapse rate in the environment is _______________ $\text{C}^{\circ} / 100 \mathrm{~m}$ ...

For the elevation and temperature data given in the table, the existing lapse rate in the environment is _______________ $\text{C}^{\circ} / 100 \mathrm{~m}$ (round off t...

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35

GATE Civil 2023 Set 2 | Question: 25
If the size of the ground area is $6 \mathrm{~km} \times 3 \mathrm{~km}$ and the corresponding photo size in the aerial photograph is $30 \mathrm{~cm} \times 15 \mathrm{~cm}$, then the scale of the photograph is $1 :$ ____________ (in integer).

If the size of the ground area is $6 \mathrm{~km} \times 3 \mathrm{~km}$ and the corresponding photo size in the aerial photograph is $30 \mathrm{~cm} \times 15 \mathrm{~...

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GATE Civil 2023 Set 2 | Question: 26
The solution of the differential equation $\frac{d^3 y}{d x^3}-5.5 \frac{d^2 y}{d x^2}+9.5 \frac{d y}{d x}-5 y=0$ is expressed as $y=C_1 e^{2.5 x}+C_2 e^{\alpha x}+C_3 e^{\beta x}$, where $C_1, C_2, C_3, \alpha$, and $\beta$ are constants ... following options is correct for the values of $\alpha$ and $\beta$ ? $1$ and $2$ $-1$ and $-2$ $2$ and $3$ $-2$ and $-3$

The solution of the differential equation$\frac{d^3 y}{d x^3}-5.5 \frac{d^2 y}{d x^2}+9.5 \frac{d y}{d x}-5 y=0$is expressed as $y=C_1 e^{2.5 x}+C_2 e^{\alpha x}+C_3 e^{\...

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37

GATE Civil 2023 Set 2 | Question: 27
Two vectors $\left[\begin{array}{llll}2 & 1 & 0 & 3\end{array}\right]^{T} $ and $\left[\begin{array}{cccc}1 & 0 & 1 & 2\end{array}\right]^{T}$ belong to the null space of a $4 \times 4$ matrix of rank $ 2.$ Which one of ... $\left[\begin{array}{llll}3 & 1 & 1 & 2\end{array}\right]^{T}$

Two vectors $\left[\begin{array}{llll}2 & 1 & 0 & 3\end{array}\right]^{T} $ and $\left[\begin{array}{cccc}1 & 0 & 1 & 2\end{array}\right]^{T}$ belong to the null space of...

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GATE Civil 2023 Set 2 | Question: 28
Cholesky decomposition is carried out on the following square matrix $[A]$. $[A]=\left[\begin{array}{cc} 8 & -5 \\ -5 & a_{22} \end{array}\right]$ Let $l_{\mathrm{ij}}$ and $a_{\mathrm{ij}}$ ... $[L]$ is $1.968,$ what is the value (rounded off to the nearest integer) of the element $a_{22}$? $5$ $7$ $9$ $11$

Cholesky decomposition is carried out on the following square matrix $[A]$.$$[A]=\left[\begin{array}{cc}8 & -5 \\-5 & a_{22}\end{array}\right]$$Let $l_{\mathrm{ij}}$ and ...

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39

GATE Civil 2023 Set 2 | Question: 29
In a two-dimensional stress analysis, the state of stress at a point is shown in the figure. The values of length of $\text{PQ, QR,}$ and $\text{RP}$ are $4, 3,$ and $5$ units, respectively. The principal stresses are ___________ . (round off to one ... $\sigma_{\mathrm{x}}=16.0 \mathrm{~MPa}, \sigma_y=138.5 \mathrm{~MPa}$

In a two-dimensional stress analysis, the state of stress at a point is shown in the figure. The values of length of $\text{PQ, QR,}$ and $\text{RP}$ are $4, 3,$ and $5$ ...

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GATE Civil 2023 Set 2 | Question: 30
Two plates are connected by fillet welds of size $10 \mathrm{~mm}$ and subjected to tension, as shown in the figure. The thickness of each plate is $12 \mathrm{~mm}$. The yield stress and the ultimate stress of steel under tension are $250 \mathrm{~MPa}$ ... each weld to transmit a factored force $\text{P}$ equal to $275 \mathrm{~kN}$? $100$ $105$ $110$ $115$

Two plates are connected by fillet welds of size $10 \mathrm{~mm}$ and subjected to tension, as shown in the figure. The thickness of each plate is $12 \mathrm{~mm}$. The...

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