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201
GATE Civil 2023 Set 2 | Question: 33
A compound symmetrical open channel section as shown in the figure has a maximum of ______________ critical depth(s). $3$ $2$ $1$ $4$
A compound symmetrical open channel section as shown in the figure has a maximum of ______________ critical depth(s).$3$$2$$1$$4$
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GATE Civil 2023 Set 1 | Question: 13
A student is scanning his $10 \text { inch } \times 10 \text { inch}$ certificate at $ 600 \text { dots per inch (dpi)}$ to convert it to raster. What is the percentage reduction in number of pixels if the same certificate is scanned at $300 \text { dpi? }$ $62$ $88$ $75$ $50$
A student is scanning his $10 \text { inch } \times 10 \text { inch}$ certificate at $ 600 \text { dots per inch (dpi)}$ to convert it to raster. What is the percentage r...
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GATE Civil 2023 Set 2 | Question: 42
A $5 \mathrm{~cm}$ long metal rod $\mathrm{AB}$ was initially at a uniform temperature of $T_0{ }^{\circ} \mathrm{C}$. Thereafter, temperature at both the ends are maintained at $0{ }^{\circ} \mathrm{C}$. Neglecting the heat transfer from the ... $\beta$ (in $\mathrm{s}^{-1}$, rounded off to three decimal places) is__________________.
A $5 \mathrm{~cm}$ long metal rod $\mathrm{AB}$ was initially at a uniform temperature of $T_0{ }^{\circ} \mathrm{C}$. Thereafter, temperature at both the ends are mainta...
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GATE Civil 2023 Set 1 | Question: 31
Consider that a force $\text{P}$ is acting on the surface of a half-space (Boussinesq's problem). The expression for the vertical stress $\left(\sigma_{z}\right)$ at any point $(r, z)$, within the half-space is given as, \[\sigma_{z}=\frac{3 P}{2 \pi} \frac{z^{3}}{\left(r^{2 ... $z^{3}=\frac{3}{2} r^{2}$ $z^{2}=\frac{5}{2} r^{2}$ $z^{3}=\frac{5}{2} r^{2}$
Consider that a force $\text{P}$ is acting on the surface of a half-space (Boussinesq's problem). The expression for the vertical stress $\left(\sigma_{z}\right)$ at any ...
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GATE Civil 2023 Set 1 | Question: 2
A hanger is made of two bars of different sizes. Each bar has a square cross-section. The hanger is loaded by three-point loads in the mid vertical plane as shown in the figure. Ignore the self-weight of the hanger. What is the maximum tensile stress ... $15.0$ $25.0$ $35.0$ $45.0$
A hanger is made of two bars of different sizes. Each bar has a square cross-section. The hanger is loaded by three-point loads in the mid vertical plane as shown in the ...
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GATE Civil 2023 Set 1 | Question: 16
consider the following three structures: Which of the following statements is/are TRUE? Structure I is unstable Structure II is unstable Structure III is unstable All three structures are stable
consider the following three structures:Which of the following statements is/are TRUE?Structure I is unstableStructure II is unstableStructure III is unstableAll three st...
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GATE Civil 2023 Set 2 | Question: 45
Consider the singly reinforced section of a cantilever concrete beam under bending, as shown in the figure $(M25$ grade concrete, $Fe415$ grade steel). The stress block parameters for the section at ultimate limit state, as per $IS \; 456: 2000$ ... cube strength of concrete, $f_y$ is the yield stress of steel, and $x_u$ is the depth of neutral axis.]
Consider the singly reinforced section of a cantilever concrete beam under bending, as shown in the figure $(M25$ grade concrete, $Fe415$ grade steel). The stress block p...
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GATE Civil 2023 Set 2 | Question: 44
For the frame shown in the figure (not to scale), all members $\mathrm{(AB, BC, CD, GB,}$ and $\mathrm{CH}$) have the same length, $L$ and flexural rigidity, $E I$. The joints at $\mathrm{B}$ and $\mathrm{C}$ are rigid joints, and ... magnitude of the moment reaction at $\mathrm{A}$ is $w L^2 / k$. What is the value of $k$ (in integer)? ______________________
For the frame shown in the figure (not to scale), all members $\mathrm{(AB, BC, CD, GB,}$ and $\mathrm{CH}$) have the same length, $L$ and flexural rigidity, $E I$. The j...
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GATE Civil 2023 Set 1 | Question: 28
Consider the horizontal axis passing through the centroid of the steel beam cross-section shown in the figure. What is the shape factor (rounded off to one decimal place) for the cross-section? $1.5$ $1.7$ $1.3$ $ 2.0$
Consider the horizontal axis passing through the centroid of the steel beam cross-section shown in the figure. What is the shape factor (rounded off to one decimal place)...
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GATE Civil 2023 Set 2 | Question: 40
The figure presents the time-space diagram for when the traffic on a highway is suddenly stopped for a certain time and then released. Which of the following statements are true? Speed is higher in Region $\mathrm{R}$ than in Region $\mathrm{P}$ Volume is ... $\mathrm{P}$ Density is higher in Region $\mathrm{Q}$ than in Region $\mathrm{R}$
The figure presents the time-space diagram for when the traffic on a highway is suddenly stopped for a certain time and then released. Which of the following statements a...
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GATE Civil 2023 Set 1 | Question: 14
If $\boldsymbol{M}$ is an arbitrary real $ n \times n $ matrix, then which of the following matrices will have non-negative eigenvalues? $\boldsymbol{M}^{2}$ $\boldsymbol{MM}^{T}$ $\boldsymbol{M}^{T} \boldsymbol{M}$ $\left(\boldsymbol{M}^{T}\right)^{2}$
If $\boldsymbol{M}$ is an arbitrary real $ n \times n $ matrix, then which of the following matrices will have non-negative eigenvalues?$\boldsymbol{M}^{2}$$\boldsymbol{M...
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GATE Civil 2023 Set 1 | Question: 53
A flocculator tank has a volume of $2800 \mathrm{~m}^{3 .}$ The temperature of water in the tank is $15^{\circ} \mathrm{C}$, and the average velocity gradient maintained in the tank is $100 / \mathrm{s}$ ... $1.518 \times 10^{-3} \mathrm{~N}-\mathrm{s} / \mathrm{m}^2$, respectively]
A flocculator tank has a volume of $2800 \mathrm{~m}^{3 .}$ The temperature of water in the tank is $15^{\circ} \mathrm{C}$, and the average velocity gradient maintained ...
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GATE Civil 2023 Set 1 | Question: 44
An idealised bridge truss is shown in the figure. The force in Member $U_2 L_3$ is $\mathrm{kN}$__________ (round off to one decimal place).
An idealised bridge truss is shown in the figure. The force in Member $U_2 L_3$ is $\mathrm{kN}$__________ (round off to one decimal place).
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GATE Civil 2023 Set 1 | Question: 6
The specific gravity of a soil is $2.60$. The soil is at $50 \%$ degree of saturation with water content of $15 \%$. The void ratio of the soil is _______. 0.35 0.78 0.87 1.28
The specific gravity of a soil is $2.60$. The soil is at $50 \%$ degree of saturation with water content of $15 \%$. The void ratio of the soil is _______.0.350.780.871.2...
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GATE Civil 2023 Set 1 | Question: 41
Which of the following options match the test reporting conventions with the given material tests in the table? ... $\text{(P) - (VI); (Q) - (III); (R) - (IV); (S) - (VII)}$
Which of the following options match the test reporting conventions with the given material tests in the table?$$\begin{array}{|l|l|}\hline \textbf{Test reporting convent...
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GATE Civil 2023 Set 1 | Question: 5
In cement concrete mix design, with the increase in water-cement ratio, which one of the following statements is TRUE? Compressive strength decreases but workability increases Compressive strength increases but workability decreases Both compressive strength and workability decrease Both compressive strength and workability increase
In cement concrete mix design, with the increase in water-cement ratio, which one of the following statements is TRUE? Compressive strength decreases but workability incr...
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GATE Civil 2023 Set 1 | Question: 39
Consider the beam shown in the figure (not to scale), on a hinge support at end $\mathrm{A}$ and a roller support at end $\mathrm{B}$. The beam has a constant flexural rigidity, and is subjected to the external ... statements is/are TRUE? Support reactions are zero Shear force is zero everywhere Bending moment is zero everywhere Deflection is zero everywhere
Consider the beam shown in the figure (not to scale), on a hinge support at end $\mathrm{A}$ and a roller support at end $\mathrm{B}$. The beam has a constant flexural ri...
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GATE Civil 2023 Set 1 | Question: 23
A canal supplies water to an area growing wheat over $100$ hectares. The duration between the first and last watering is $120$ days, and the total depth of water required by the crop is $35 \mathrm{~cm}$. The most intense watering is required ... , rounded off to three decimal places) in the canal to satisfy the crop requirement is __________.
A canal supplies water to an area growing wheat over $100$ hectares. The duration between the first and last watering is $120$ days, and the total depth of water required...
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GATE Civil 2023 Set 1 | Question: 42
The differential equation, $\frac{\mathrm{d} u}{\mathrm{~d} t}+2 t u^2=1,$ is solved by employing a backward difference scheme within the finite difference framework. The value of $u$ at the $(n-1)^{\text {th }}$ time-step, for some $n$, ... $0.01 \mathrm{~s}$ long. Then, the value of $\left(u_n-u_{n-1}\right)$ is__________ (round off to three decimal places).
The differential equation,$$\frac{\mathrm{d} u}{\mathrm{~d} t}+2 t u^2=1,$$is solved by employing a backward difference scheme within the finite difference framework. The...
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GATE Civil 2023 Set 1 | Question: 37
For the matrix $[A]=\left[\begin{array}{lll}1 & 2 & 3 \\3 & 2 & 1 \\3 & 1 & 2\end{array}\right]$ which of the following statements is/are TRUE? The eigenvalues of $[A]^{T}$ are same as the eigenvalues of $[A]$ The ... $[A]^{T}$ are same as the eigenvectors of $[A]$ The eigenvectors of $[A]^{-1}$ are same as the eigenvectors of $[A]$
For the matrix$$[A]=\left[\begin{array}{lll}1 & 2 & 3 \\3 & 2 & 1 \\3 & 1 & 2\end{array}\right]$$which of the following statements is/are TRUE?The eigenvalues of $[A]^{T}...
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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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GATE Civil 2022 Set 2 | Question: 8
Stresses acting on an infinitesimal soil element are shown in the figure (with $\sigma_{z} > \sigma_{x}$). The major and minor principal stresses are $\sigma_{1}$ and $\sigma_{3},$ respectively. Considering the compressive stresses as positive, which one of the following ... $\tan^{-1} \left( \frac{\tau_{zx}} {\sigma_{1} + \sigma_{3}} \right)$
Stresses acting on an infinitesimal soil element are shown in the figure (with $\sigma_{z} \sigma_{x}$). The major and minor principal stresses are $\sigma_{1}$ and $\si...
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GATE Civil 2022 Set 2 | Question: 12
A process equipment emits $5 \; \text{kg/h}$ of volatile organic compounds $\text{(VOCs)}$. If a hood placed over the process equipment captures $95\%$ of the $\text{VOCs},$ then the fugitive emission in $\text{kg/h}$ is $0.25$ $4.75$ $2.50$ $0.48$
A process equipment emits $5 \; \text{kg/h}$ of volatile organic compounds $\text{(VOCs)}$. If a hood placed over the process equipment captures $95\%$ of the $\text{VOCs...
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GATE Civil 2022 Set 2 | Question: 15
$\text{P}$ and $\text{Q}$ are two square matrices of the same order. Which of the following statement(s) is/are correct? If $\text{P}$ and $\text{Q}$ are invertible, then $\text{[PQ]}^{-1} = \text{Q}^{-1} \text{P}^{-1}.$ If $\text{P}$ and $\text{Q}$ are ... $\text{P}$ and $\text{Q}$ are not invertible, then $\text{[PQ]}^{-1} = \text{Q}^{-1} \text{P}^{-1}.$
$\text{P}$ and $\text{Q}$ are two square matrices of the same order. Which of the following statement(s) is/are correct?If $\text{P}$ and $\text{Q}$ are invertible, then ...
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GATE Civil 2022 Set 2 | Question: 6
Consider a beam $\text{PQ}$ fixed at $\text{P},$ hinged at $\text{Q},$ and subjected to a load $F$ as shown in figure (not drawn to scale). The static and kinematic degrees of indeterminacy, respectively, are $2$ and $1$ $2$ and $0$ $1$ and $2$ $2$ and $2$
Consider a beam $\text{PQ}$ fixed at $\text{P},$ hinged at $\text{Q},$ and subjected to a load $F$ as shown in figure (not drawn to scale). The static and kinematic degre...
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GATE Civil 2022 Set 2 | Question: 7
Read the following statements: While designing a shallow footing in sandy soil, monsoon season is considered for critical design in terms of bearing capacity. For slope stability of an earthen dam, sudden drawdown is never a critical condition. In a sandy sea beach, quicksand condition ... $\text{(P)-False, (Q)-True, (R)-False, (S)-False}$
Read the following statements:While designing a shallow footing in sandy soil, monsoon season is considered for critical design in terms of bearing capacity.For slope sta...
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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: 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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GATE Civil 2022 Set 2 | Question: 17
To design an optimum municipal solid waste collection route, which of the following is/are $\text{NOT}$ desired: Collection vehicle should not travel twice down the same street in a day. Waste collection on congested roads should not occur ... uphill direction. The last collection point on a route should be as close as possible to the waste disposal facility.
To design an optimum municipal solid waste collection route, which of the following is/are $\text{NOT}$ desired:Collection vehicle should not travel twice down the same s...
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GATE Civil 2022 Set 2 | Question: 14
If the magnetic bearing of the Sun at a place at noon is $\text{S} \; 2^{\circ} \; \text{E},$ the magnetic declination (in $\textbf{degrees}$) at that place is $2^{\circ} \; \text{E}$ $2^{\circ} \; \text{W}$ $4^{\circ} \; \text{E}$ $4^{\circ} \; \text{W}$
If the magnetic bearing of the Sun at a place at noon is $\text{S} \; 2^{\circ} \; \text{E},$ the magnetic declination (in $\textbf{degrees}$) at that place is$2^{\circ} ...
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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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GATE Civil 2022 Set 2 | Question: 21
The inside diameter of a sample tube is $50 \; \text{mm}.$ The inside diameter of the cutting edge is kept such that the Inside Clearance Ratio $\text{(ICR)}$ is $1.0 \%$ to minimize the friction on the sample as the sampler tube enters into the soil. The inside diameter (in $\text{mm}$) of the cutting edge is _______________. (round off to two decimal places)
The inside diameter of a sample tube is $50 \; \text{mm}.$ The inside diameter of the cutting edge is kept such that the Inside Clearance Ratio $\text{(ICR)}$ is $1.0 \%$...
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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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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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GATE Civil 2022 Set 2 | Question: 20
The components of pure shear strain in a sheared material are given in the matrix form: $ \varepsilon = \begin{bmatrix} 1 & 1 \\ 1 & – 1 \end{bmatrix}$ Here, $\text{Trace}(\varepsilon) = 0.$ Given, $ P = \text{Trace}(\varepsilon^{8})$ and $Q = \text{Trace}(\varepsilon^{11}).$ The numerical value of $(P + Q)$ is _____________. (in integer)
The components of pure shear strain in a sheared material are given in the matrix form:$$ \varepsilon = \begin{bmatrix} 1 & 1 \\ 1 & – 1 \end{bmatrix}$$Here, $\text{Tra...
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GATE Civil 2022 Set 2 | Question: 11
The dimension of dynamic viscosity is: $\text{ML}^{-1} \text{T}^{-1}$ $\text{ML}^{-1} \text{T}^{-2}$ $\text{ML}^{-2} \text{T}^{-2}$ $\text{ML}^{0} \text{T}^{-1}$
The dimension of dynamic viscosity is:$\text{ML}^{-1} \text{T}^{-1}$$\text{ML}^{-1} \text{T}^{-2}$$\text{ML}^{-2} \text{T}^{-2}$$\text{ML}^{0} \text{T}^{-1}$
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GATE Civil 2022 Set 2 | Question: 13
Match the following attributes of a city with the appropriate scale of measurements. ... $\text{(P)-(I), (Q)-(II), (R)-(III), (S)-(IV)}$
Match the following attributes of a city with the appropriate scale of measurements.$$\begin{array} {|l|l|} \hline \qquad \qquad \qquad \textbf{Attribute} & \textbf{ Sca...
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GATE Civil 2022 Set 2 | Question: 9
Match $\textbf{Column X}$ and $\textbf{Column Y}:$ ... $\text{(P)-(III), (Q)-(IV), (R)-(I), (S)-(V), (T)-(II)}$
Match $\textbf{Column X}$ and $\textbf{Column Y}:$$$\begin{array} {|l|l|} \hline \quad \textbf{Column X} & \qquad \textbf{Column Y} \\\hline \text{(P) Horton equation} ...
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GATE Civil 2022 Set 2 | Question: 19
The error in measuring the radius of a $5 \; \text{cm}$ circular rod was $0.2 \%.$ If the cross-sectional area of the rod was calculated using this measurement, then the resulting absolute percentage error in the computed area is ____________. (round off to two decimal places)
The error in measuring the radius of a $5 \; \text{cm}$ circular rod was $0.2 \%.$ If the cross-sectional area of the rod was calculated using this measurement, then the ...
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GATE Civil 2022 Set 2 | Question: 16
In a solid waste handling facility, the moisture contents $\text{(MC)}$ of food waste, paper waste, and glass waste were found to be $\text{MCf, MCp},$ and $\text{MCg,}$ respectively. Similarly, the energy contents $\text{(EC)}$ of plastic waste, food waste and ... $\text{ECpp > ECf > ECg}$ $\text{MCf < MCp < MCg}$ $\text{ECpp < ECf < ECg}$
In a solid waste handling facility, the moisture contents $\text{(MC)}$ of food waste, paper waste, and glass waste were found to be $\text{MCf, MCp},$ and $\text{MCg,}$ ...
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Arjun
asked
Feb 15, 2022
Others
gatecivil-2022-set2
multiple-selects
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