Recent questions tagged gatecivil-2022-set1 / GO Civil

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GATE Civil 2022 Set 1 | GA Question: 1
You should ___________ when to say _______________. no/no no / know know / know know / no

You should ___________ when to say _______________.no/nono / knowknow / knowknow / no

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GATE Civil 2022 Set 1 | GA Question: 2
Two straight lines pass through the origin $(x_{0}, y_{0}) = (0, 0)$. One of them passes through the point $(x_{1}, y_{1}) = (1, 3)$ and the other passes through the point $(x_{2}, y_{2}) = (1, 2)$. What is the area enclosed between the straight lines in the interval $[0, 1]$ on the $x$-axis? $0.5$ $1.0$ $1.5$ $2.0$

Two straight lines pass through the origin $(x_{0}, y_{0}) = (0, 0)$. One of them passes through the point $(x_{1}, y_{1}) = (1, 3)$ and the other passes through the poin...

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GATE Civil 2022 Set 1 | GA Question: 3
If $p : q = 1:2$ $q : r = 4 : 3$ $r : s = 4 : 5$ and $u$ is $50\%$ more than $s$, what is the ratio $p : u$? $2 : 15$ $16 : 15$ $1 : 5$ $16 : 45$

If$p : q = 1:2$$q : r = 4 : 3$$r : s = 4 : 5$and $u$ is $50\%$ more than $s$, what is the ratio $p : u$?$2 : 15$$16 : 15$$1 : 5$$16 : 45$

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4

GATE Civil 2022 Set 1 | GA Question: 4
Given the statements: $\text{P}$ is the sister of $\text{Q}$. $\text{Q}$ is the husband of $\text{R}$. $\text{R}$ is the mother of $\text{S}$. $\text{T}$ is the husband of $\text{P}$. Based on the above information, $\text{T}$ is ____________ of $\text{S}$. the grandfather an uncle the father a brother

Given the statements:$\text{P}$ is the sister of $\text{Q}$.$\text{Q}$ is the husband of $\text{R}$.$\text{R}$ is the mother of $\text{S}$.$\text{T}$ is the husband of $\...

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5

GATE Civil 2022 Set 1 | GA Question: 5
In the following diagram, the point $\text{R}$ is the center of the circle. The lines $\text{PQ}$ and $\text{ZV}$ are tangential to the circle. The relation among the areas of the squares, $\text{PXWR, RUVZ}$ and $\text{SPQT}$ is Area of $\text{SPQT}$ ... $\text{RUVZ}$ Area of $\text{PXWR}$ = Area of $\text{RUVZ}$ - Area of $\text{SPQT}$

In the following diagram, the point $\text{R}$ is the center of the circle. The lines $\text{PQ}$ and $\text{ZV}$ are tangential to the circle. The relation among the are...

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6

GATE Civil 2022 Set 1 | GA Question: 6
Healthy eating is a critical component of healthy aging. When should one start eating healthy? It turns out that it is never too early. For example, babies who start eating healthy in the first year are more likely to have better overall ... health are more correlated at a young age, but not older age Healthy eating is more important for adults than kids

Healthy eating is a critical component of healthy aging. When should one start eating healthy? It turns out that it is never too early. For example, babies who start eati...

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7

GATE Civil 2022 Set 1 | GA Question: 7
$\text{P}$ invested ₹$5000$ per month for $6$ months of a year and $\text{Q}$ invested ₹$x$ per month for $8$ months of the year in a partnership business. The profit is shared in proportion to the total investment made in that year. If at the end of ... receives $\dfrac{4}{9}$ of the total profit, what is the value of $x$ (in ₹)? $2500$ $3000$ $4687$ $8437$

$\text{P}$ invested ₹$5000$ per month for $6$ months of a year and $\text{Q}$ invested ₹$x$ per month for $8$ months of the year in a partnership business. The profi...

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8

GATE Civil 2022 Set 1 | GA Question: 8
The above frequency chart shows the frequency distribution of marks obtained by a set of students in an exam. From the data presented above, which one of the following is $\text{CORRECT}$? mean > mode > median mode > median> mean mode > mean > median median > mode > mean

The above frequency chart shows the frequency distribution of marks obtained by a set of students in an exam.From the data presented above, which one of the following is ...

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9

GATE Civil 2022 Set 1 | GA Question: 9
In the square grid shown on the left, a person standing at $\text{P2}$ position is required to move to $\text{P5}$ position. The only movement allowed for a step involves, two moves along one direction followed by one move in a perpendicular direction . The ... minimum number of steps required to go from $\text{P2}$ to $\text{P5}$ is $4$ $5$ $6$ $7$

In the square grid shown on the left, a person standing at $\text{P2}$ position is required to move to $\text{P5}$ position.The only movement allowed for a step involves,...

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10

GATE Civil 2022 Set 1 | GA Question: 10
Consider a cube made by folding a single sheet of paper of appropriate shape. The interior faces of the cube are all blank. However, the exterior faces that are not visible in the above view may not be blank. Which one of the following represents a possible unfolding of the cube? A. B. C. D.

Consider a cube made by folding a single sheet of paper of appropriate shape. The interior faces of the cube are all blank. However, the exterior faces that are not visib...

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11

GATE Civil 2022 Set 1 | Question: 1
Consider the following expression: $z = \sin \left ( y + it \right ) + \cos \left ( y - it \right )$ where $\text{z, y}$ and $t$ are variables, and $i = \sqrt{-1}$ is a complex number. The partial differential equation derived from the above expression ... $\frac{\partial z}{\partial t} + i \frac{\partial z}{\partial y} = 0$

Consider the following expression: $$z = \sin \left ( y + it \right ) + \cos \left ( y - it \right )$$ where $\text{z, y}$ and $t$ are variables, and $i = \sqrt{-1}$ is a...

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12

GATE Civil 2022 Set 1 | Question: 2
For the equation $\frac{d^{3}y}{dx^{3}} + x \left ( \frac{dy}{dx} \right )^{\frac{3}{2}}+ x^{2}y=0$ the correct description is an ordinary differential equation of order $3$ and degree $2$ an ordinary differential equation of ... $2$ and degree $3$ an ordinary differential equation of order $3$ and degree $\frac{3}{2}$

For the equation $$\frac{d^{3}y}{dx^{3}} + x \left ( \frac{dy}{dx} \right )^{\frac{3}{2}}+ x^{2}y=0$$ the correct description isan ordinary differential equation of order...

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13

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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14

GATE Civil 2022 Set 1 | Question: 4
In the context of elastic theory of reinforced concrete, the modular ratio is defined as the ratio of Young's modulus of elasticity of reinforcement material to Young's modulus of elasticity of concrete. Young's modulus of ... shear modulus of concrete. Young's modulus of elasticity of reinforcement material to the shear modulus of concrete.

In the context of elastic theory of reinforced concrete, the modular ratio is defined as the ratio ofYoung's modulus of elasticity of reinforcement material to Young's mo...

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15

GATE Civil 2022 Set 1 | Question: 5
Which of the following equations is correct for the Pozzolanic reaction? $\text{Ca(OH)}_{2}$ + Reactive Superplasticiser + $H_{2}O \rightarrow \text{C-S-H}$ $\text{Ca(OH)}_{2}$ + Reactive Silicon dioxide + $H_{2}O \rightarrow \text{C-S-H}$ ... $\text{Ca(OH)}_{2}$ + Reactive Sulphur + $H_{2}O \rightarrow \text{C-S-H}$

Which of the following equations is correct for the Pozzolanic reaction?$\text{Ca(OH)}_{2}$ + Reactive Superplasticiser + $H_{2}O \rightarrow \text{C-S-H}$$\text{Ca(OH)}_...

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16

GATE Civil 2022 Set 1 | Question: 6
Consider the cross-section of a beam made up of thin uniform elements having thickness $t\left (t < < a \right )$ shown in the figure. The $(x, y)$ coordinates of the points along the center-line of the cross-section are given in the figure. The coordinates of the shear center of this ... $x = 0, y = 3a$ $x = 2a, y = 2a$ $x = -a, y = 2a$ $x = -2a, y = a$

Consider the cross-section of a beam made up of thin uniform elements having thickness $t\left (t < < a \right )$ shown in the figure. The $(x, y)$ coordinates of the poi...

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17

GATE Civil 2022 Set 1 | Question: 7
Four different soils are classified as $\text{CH, ML, SP, and SW}$, as per the Unified Soil Classification System. Which one of the following options correctly represents their arrangement in the decreasing order of hydraulic conductivity? $\text{SW, SP, ML, CH}$ $\text{CH, ML, SP, SW}$ $\text{SP, SW, CH, ML}$ $\text{ML, SP, CH, SW}$

Four different soils are classified as $\text{CH, ML, SP, and SW}$, as per the Unified Soil Classification System. Which one of the following options correctly represents...

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18

GATE Civil 2022 Set 1 | Question: 8
Let $\sigma _{v}^{'}$ and $\sigma _{h}^{'}$ denote the effective vertical stress and effective horizontal stress, respectively. Which one of the following conditions must be satisfied for a soil element to reach the failure state under Rankine's passive earth pressure ... $\sigma _{v}^{'} + \sigma _{h}^{'} = 0$

Let $\sigma _{v}^{'}$ and $\sigma _{h}^{'}$ denote the effective vertical stress and effective horizontal stress, respectively. Which one of the following conditions must...

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19

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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20

GATE Civil 2022 Set 1 | Question: 10
Let $\psi$ represent soil suction head and $K$ represent hydraulic conductivity of the soil. If the soil moisture content $\theta$ increases, which one of the following statements is $\text{TRUE}$? $\psi$ decreases and $K$ increases $\psi$ increases and $K$ decreases Both $\psi$ and $K$ decrease Both $\psi$ and $K$ increase

Let $\psi$ represent soil suction head and $K$ represent hydraulic conductivity of the soil. If the soil moisture content $\theta$ increases, which one of the following s...

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21

GATE Civil 2022 Set 1 | Question: 11
A rectangular channel with Gradually Varied Flow $\text{(GVF)}$ has a changing bed slope. If the change is from a steeper slope to a steep slope, the resulting $\text{GVF}$ profile is $S_{3}$ $S_{1}$ $S_{2}$ either $S_{1}$ or $S_{2}$, depending on the magnitude of the slopes

A rectangular channel with Gradually Varied Flow $\text{(GVF)}$ has a changing bed slope. If the change is from a steeper slope to a steep slope, the re...

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22

GATE Civil 2022 Set 1 | Question: 12
The total hardness in raw water is $500$ milligram per liter as $CaCO_{3}$. The total hardness of this raw water, expressed in milligram equivalent per liter, is (Consider the atomic weights of $\text{Ca, C, and O}$ as $40$ $\text{g/mol}$, $12$ $\text{g/mol}$, and $16$ $\text{g/mol}$, respectively.) $10$ $100$ $1$ $5$

The total hardness in raw water is $500$ milligram per liter as $CaCO_{3}$. The total hardness of this raw water, expressed in milligram equivalent per liter, is(Consider...

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23

GATE Civil 2022 Set 1 | Question: 13
An aerial photograph is taken from a flight at a height of $3.5$ $\text{km}$ above mean sea level, using a camera of focal length $152$ $\text{mm}$. If the average ground elevation is $460 \:m$ above mean sea level, then the scale of the photograph is $1 : 20000$ $1 : 20$ $1 : 100000$ $1 : 2800$

An aerial photograph is taken from a flight at a height of $3.5$ $\text{km}$ above mean sea level, using a camera of focal length $152$ $\text{mm}$. If the average ground...

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24

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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25

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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26

GATE Civil 2022 Set 1 | Question: 16
For wastewater coming from a wood pulping industry, Chemical Oxygen Demand $\text{(COD)}$ and $5$-day Biochemical Oxygen Demand $\text{(BOD}_{5})$ were determined. For this wastewater, which of the following statement(s) is/are correct? $\text{COD} > \text{BOD}_{5}$ ... $\text{COD} < \text{BOD}_{5}$ $\text{COD} = \text{BOD}_{5}$

For wastewater coming from a wood pulping industry, Chemical Oxygen Demand $\text{(COD)}$ and $5$-day Biochemical Oxygen Demand $\text{(BOD}_{5})$ were determined. For th...

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27

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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28

GATE Civil 2022 Set 1 | Question: 18
A horizontal curve is to be designed in a region with limited space. Which of the following measure(s) can be used to decrease the radius of curvature? Decrease the design speed Increase the superelevation Increase the design speed Restrict vehicles with higher weight from using the facility

A horizontal curve is to be designed in a region with limited space. Which of the following measure(s) can be used to decrease the radius of curvature?Decrease the design...

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29

GATE Civil 2022 Set 1 | Question: 19
Consider the following recursive iteration scheme for different values of variable $P$ with the initial guess $x_{1} =1$: $x_{n + 1} = \frac{1}{2}\left ( x_{n} + \frac{P}{x_{n}} \right ), \:\:\:n = 1, 2, 3, 4, 5$ For ... $P = 10$, the numerical value of $x_{5}$ is ___________________. (round off to three decimal places)

Consider the following recursive iteration scheme for different values of variable $P$ with the initial guess $x_{1} =1$: $$x_{n + 1} = \frac{1}{2}\left ( x_{n} + \frac{P...

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30

GATE Civil 2022 Set 1 | Question: 20
The Fourier cosine series of a function is given by : $f\left ( x \right ) = \sum_{n = 0}^{\infty} f_{n} \cos nx$ For $f\left ( x \right ) = \cos^{4} x$, the numerical value of $\left ( f_{4} + f_{5} \right )$ is __________. (round off to three decimal places)

The Fourier cosine series of a function is given by : $$f\left ( x \right ) = \sum_{n = 0}^{\infty} f_{n} \cos nx$$ For $f\left ( x \right ) = \cos^{4} x$, the numerical ...

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31

GATE Civil 2022 Set 1 | Question: 21
An uncompacted heap of soil has a volume of $10000\: m^{3}$ and void ratio of $1$. If the soil is compacted to a volume of $7500\: m^{3}$, then the corresponding void ratio of the compacted soil is _________________. (round off to one decimal place)

An uncompacted heap of soil has a volume of $10000\: m^{3}$ and void ratio of $1$. If the soil is compacted to a volume of $7500\: m^{3}$, then the corresponding void rat...

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32

GATE Civil 2022 Set 1 | Question: 22
A concentrated vertical load of $3000$ $\text{kN}$ is applied on a horizontal ground surface. Points $P$ and $Q$ are at depths $1 \:m$ and $2\: m$ below the ground, respectively, along the line of application of the load. Considering ... the ratio of the increase in vertical stress at $P$ to the increase in vertical stress at $Q$ is _______________. (in integer)

A concentrated vertical load of $3000$ $\text{kN}$ is applied on a horizontal ground surface. Points $P$ and $Q$ are at depths $1 \:m$ and $2\: m$ below the ground, respe...

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33

GATE Civil 2022 Set 1 | Question: 23
At a site, Static Cone Penetration Test was carried out. The measured point (tip) resistance $q_{c}$ was $1000$ $\text{kPa}$ at a certain depth. The friction ratio $(f_{r})$ was estimated as $1\%$ at the same depth. The value of sleeve (side) friction (in $\text{kPa}$) at that depth was _________________. (in integer)

At a site, Static Cone Penetration Test was carried out. The measured point (tip) resistance $q_{c}$ was $1000$ $\text{kPa}$ at a certain depth. The friction ratio $(f_{r...

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34

GATE Civil 2022 Set 1 | Question: 24
During a particular stage of the growth of a crop, the consumptive use of water is $2.8$ $\text{mm}$/day. The amount of water available in the soil is $50\%$ of the maximum depth of available water in the root zone. ... the irrigation efficiency as $70\%$. The interval between irrigation (in days) will be _______________. (round off to the nearest integer)

During a particular stage of the growth of a crop, the consumptive use of water is $2.8$ $\text{mm}$/day. The amount of water available in the soil is $50\%$ of the maxim...

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35

GATE Civil 2022 Set 1 | Question: 25
The bearing of a survey line is $N31 ^{\circ} 17’W$. Its azimuth observed from north is _________________ deg. (round off to two decimal places)

The bearing of a survey line is $N31 ^{\circ} 17’W$. Its azimuth observed from north is _________________ deg. (round off to two decimal places)

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36

GATE Civil 2022 Set 1 | Question: 26
The Cartesian coordinates of a point $P$ in a right-handed coordinate system are $(1, 1, 1)$. The transformed coordinates of $P$ due to a $45^{\circ}$ clockwise rotation of the coordinates system about the positive $x$-axis are $\left ( 1, 0, \sqrt{2} \right )$ ... $\left ( -1, 0, \sqrt{2} \right )$ $\left ( -1, 0, -\sqrt{2} \right )$

The Cartesian coordinates of a point $P$ in a right-handed coordinate system are $(1, 1, 1)$. The transformed coordinates of $P$ due to a $45^{\circ}$ clockwise rotation ...

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37

GATE Civil 2022 Set 1 | Question: 27
A semi-circular bar of radius $\text{R m}$, in a vertical plane, is fixed at the end $G$, as shown in the figure. A horizontal load of magnitude $\text{P kN}$ is applied at the end $H$. The magnitude of the axial force, shear force, and bending moment at point $Q$ for ... $\frac{PR}{\sqrt{2}} \:kNm$ $\frac{P}{\sqrt{2}}\:kN,0\:kN$, and $\frac{PR}{\sqrt{2}} \:kNm$

A semi-circular bar of radius $\text{R m}$, in a vertical plane, is fixed at the end $G$, as shown in the figure. A horizontal load of magnitude $\text{P kN}$ is applied ...

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GATE Civil 2022 Set 1 | Question: 28
A weld is used for joining an angle section $\text{ISA}$ $100 \:mm \times 100\:mm \times 10 \:mm$ to a gusset plate of thickness $15$ $\text{mm}$ to transmit a tensile load. The permissible stress in the angle is $150$ $\text{MPa}$ and the permissible shear stress ... $\text{mm}$ $380$ $\text{mm}$ and $151$ $\text{mm}$ $151$ $\text{mm}$ and $380$ $\text{mm}$

A weld is used for joining an angle section $\text{ISA}$ $100 \:mm \times 100\:mm \times 10 \:mm$ to a gusset plate of thickness $15$ $\text{mm}$ to transmit a tensile lo...

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39

GATE Civil 2022 Set 1 | Question: 29
The project activities are given in the following table along with the duration and dependency. ... $20$ days, Critical path is $\text{P} \rightarrow \text{R}$

The project activities are given in the following table along with the duration and dependency.$$\begin{array}{|c|c|} \hline \textbf{Activities} & \textbf{Duration (days...

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GATE Civil 2022 Set 1 | Question: 30
The correct match between the physical states of the soils given is Group $\text{I}$ and the governing conditions given in Group $\text{II}$ ... $1-Q, 2-S, 3-P, 4-R$ $1-Q, 2-P, 3-R, 4-S$ $1-S, 2-Q, 3-P, 4-R$

The correct match between the physical states of the soils given is Group $\text{I}$ and the governing conditions given in Group $\text{II}$ is$\begin{array}{|c|c|} \hlin...

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