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121
GATE Civil 2022 Set 2 | Question: 46
A hydraulic jump takes place in a $6 \; \text{m}$ wide rectangular channel at a point where the upstream depth is $0.5 \; \text{m}$ (just before the jump). If the discharge in the channel is $30 \; \text{m}^{3}\text{/s}$ and the ... the jump is ______________. (round off to two decimal places) (Consider the acceleration due to gravity as $10 \; \text{m/s}^{2}$.)
A hydraulic jump takes place in a $6 \; \text{m}$ wide rectangular channel at a point where the upstream depth is $0.5 \; \text{m}$ (just before the jump). If the dischar...
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Feb 15, 2022
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GATE Civil 2022 Set 2 | Question: 47
A pump with an efficiency of $80\%$ is used to draw groundwater from a well for irrigating a flat field of area $108$ hectares. The base period and delta for paddy crop on this field are $120 \; \text{days}$ and $144\; \text{cm},$ respectively. Water application efficiency ... $= 9810 \; \text{N/m}^{3}$)
A pump with an efficiency of $80\%$ is used to draw groundwater from a well for irrigating a flat field of area $108$ hectares. The base period and delta for paddy crop o...
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Feb 15, 2022
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GATE Civil 2022 Set 2 | Question: 48
Two discrete spherical particles ($\text{P}$ and $\text{Q}$) of equal mass density are independently released in water. Particle $\text{P}$ and particle $\text{Q}$ have diameters of $0.5 \; \text{mm}$ and $1.0 \; \text{mm},$ ... force on partial $\text{Q}$ will be _____________ times the drag force on particle $\text{P}.$ (round off to the nearest integer)
Two discrete spherical particles ($\text{P}$ and $\text{Q}$) of equal mass density are independently released in water. Particle $\text{P}$ and particle $\text{Q}$ have d...
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Feb 15, 2022
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GATE Civil 2022 Set 2 | Question: 49
At a municipal waste handling facility, $30$ metric ton mixture of food waste, yard waste, and paper waste was available. The moisture content of this mixture was found to be $10\%.$ The ideal moisture content for composting this ... water to be added to this mixture to bring its moisture content to the ideal condition is ___________metric ton. (in integer)
At a municipal waste handling facility, $30$ metric ton mixture of food waste, yard waste, and paper waste was available. The moisture content of this mixture was found t...
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Feb 15, 2022
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GATE Civil 2022 Set 2 | Question: 50
A sewage treatment plant receives sewage at a flow rate of $5000 \; \text{m}^{3}\text{/day}.$ The total suspended solids $\text{(TSS)}$ concentration in the sewage at the inlet of primary clarifier is $200 \; \text{mg/L}$. After the ... daily volume of the thickened sludge (in $\text{m}^{3}\text{/day}$) will be ___________.(round off to the nearest integer)
A sewage treatment plant receives sewage at a flow rate of $5000 \; \text{m}^{3}\text{/day}.$ The total suspended solids $\text{(TSS)}$ concentration in the sewage at the...
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Feb 15, 2022
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126
GATE Civil 2022 Set 2 | Question: 51
A sample of air analyzed at $25 \; ^{\circ}\text{C}$ and $1 \; \text{atm}$ pressure is reported to contain $0.04 \; \text{ppm}$ of $\text{SO}_{2}.$ Atomic mass of $\text{S = 32, O = 16}.$ The equivalent $\text{SO}_{2}$ concentration (in $\mu \text{g/m}^{3}$) will be _________. (round off to the nearest integer)
A sample of air analyzed at $25 \; ^{\circ}\text{C}$ and $1 \; \text{atm}$ pressure is reported to contain $0.04 \; \text{ppm}$ of $\text{SO}_{2}.$ Atomic mass of $\text{...
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Feb 15, 2022
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GATE Civil 2022 Set 2 | Question: 52
A parabolic vertical crest curve connects two road segments with grades $+1.0 \%$ and $-2.0 \%.$ If a $200 \; \text{m}$ stopping sight distance is needed for a driver at a height of $1.2 \; \text{m}$ to avoid an obstacle of height $0.15 \; \text{m},$ then the minimum curve length should be _________ $\text{m}$. (round off to the nearest integer)
A parabolic vertical crest curve connects two road segments with grades $+1.0 \%$ and $-2.0 \%.$ If a $200 \; \text{m}$ stopping sight distance is needed for a driver at ...
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Feb 15, 2022
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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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Feb 15, 2022
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GATE Civil 2022 Set 2 | Question: 54
It is given that an aggregate mix has $260 \; \text{grams}$ of coarse aggregates and $240 \; \text{grams}$ of fine aggregates. The specific gravities of the coarse and fine aggregate are $2.6$ and $2.4,$ respectively. The bulk specific gravity of the mix is $2.3.$ The percentage air voids in the mix is _______________. (round off to the nearest integer)
It is given that an aggregate mix has $260 \; \text{grams}$ of coarse aggregates and $240 \; \text{grams}$ of fine aggregates. The specific gravities of the coarse and fi...
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Feb 15, 2022
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GATE Civil 2022 Set 2 | Question: 55
The lane configuration with lane volumes in vehicles per hour of a four-arm signalized intersection is shown in the figure. There are only two phases: the first phase is for East-West and the West-East through movements, and the second phase is for ... length (in $\text{seconds}$), as per the Webster's method, is ____________.(rounds off to the nearest integer)
The lane configuration with lane volumes in vehicles per hour of a four-arm signalized intersection is shown in the figure. There are only two phases: the first phase is ...
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Feb 15, 2022
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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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Feb 15, 2022
Verbal Aptitude
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verbal-aptitude
most-appropriate-word
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132
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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Feb 15, 2022
Quantitative Aptitude
gatecivil-2022-set1
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cartesian-coordinates
area
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133
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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Feb 15, 2022
Quantitative Aptitude
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ratio-proportion
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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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Feb 15, 2022
Analytical Aptitude
gatecivil-2022-set1
analytical-aptitude
logical-reasoning
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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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Feb 15, 2022
Quantitative Aptitude
gatecivil-2022-set1
quantitative-aptitude
geometry
squares
area
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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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Feb 15, 2022
Verbal Aptitude
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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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Feb 15, 2022
Quantitative Aptitude
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profit-loss
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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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Feb 15, 2022
Quantitative Aptitude
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quantitative-aptitude
data-interpretation
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statistics
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139
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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Feb 15, 2022
Analytical Aptitude
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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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Feb 15, 2022
Spatial Aptitude
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141
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 )$$ where $\text{z, y}$ and $t$ are variables, and $i = \sqrt{-1}$ is a...
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Feb 15, 2022
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GATE Civil 2022 Set 1 | Question: 2
For the equation $\frac{d^{3}y}{dx^{3}} + x \left ( \frac{dy}{dx} \right )^{\frac{3}{2}}+ x^{2}y=0$ the correct description is an ordinary differential equation of order $3$ and degree $2$ an ordinary differential equation of ... $2$ and degree $3$ an ordinary differential equation of order $3$ and degree $\frac{3}{2}$
For the equation $$\frac{d^{3}y}{dx^{3}} + x \left ( \frac{dy}{dx} \right )^{\frac{3}{2}}+ x^{2}y=0$$ the correct description isan ordinary differential equation of order...
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Feb 15, 2022
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GATE Civil 2022 Set 1 | Question: 3
The hoop stress at a point on the surface of a thin cylindrical pressure vessel is computed to be $30.0\text{ MPa}$. The value of maximum shear stress at this point is $7.5 \text{ MPa}$ $15.0 \text{ MPa}$ $30.0 \text{ MPa}$ $22.5\text{ MPa}$
The hoop stress at a point on the surface of a thin cylindrical pressure vessel is computed to be $30.0\text{ MPa}$. The value of maximum shear stress at this point is$7...
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Feb 15, 2022
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GATE Civil 2022 Set 1 | Question: 4
In the context of elastic theory of reinforced concrete, the modular ratio is defined as the ratio of Young's modulus of elasticity of reinforcement material to Young's modulus of elasticity of concrete. Young's modulus of ... shear modulus of concrete. Young's modulus of elasticity of reinforcement material to the shear modulus of concrete.
In the context of elastic theory of reinforced concrete, the modular ratio is defined as the ratio ofYoung's modulus of elasticity of reinforcement material to Young's mo...
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Feb 15, 2022
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GATE Civil 2022 Set 1 | Question: 5
Which of the following equations is correct for the Pozzolanic reaction? $\text{Ca(OH)}_{2}$ + Reactive Superplasticiser + $H_{2}O \rightarrow \text{C-S-H}$ $\text{Ca(OH)}_{2}$ + Reactive Silicon dioxide + $H_{2}O \rightarrow \text{C-S-H}$ ... $\text{Ca(OH)}_{2}$ + Reactive Sulphur + $H_{2}O \rightarrow \text{C-S-H}$
Which of the following equations is correct for the Pozzolanic reaction?$\text{Ca(OH)}_{2}$ + Reactive Superplasticiser + $H_{2}O \rightarrow \text{C-S-H}$$\text{Ca(OH)}_...
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Feb 15, 2022
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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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Feb 15, 2022
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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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Feb 15, 2022
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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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Feb 15, 2022
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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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Feb 15, 2022
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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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Feb 15, 2022
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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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Feb 15, 2022
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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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Feb 15, 2022
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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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Feb 15, 2022
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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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Feb 15, 2022
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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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Feb 15, 2022
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156
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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Feb 15, 2022
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157
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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Feb 15, 2022
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158
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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Feb 15, 2022
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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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Feb 15, 2022
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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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Feb 15, 2022
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