Recent questions tagged gate2017-ce-2

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1

GATE2017 CE-2-1
Consider the following simultaneous equations (with $c_1$ and $c_2$ being constants): $3x_1+2x_2=c_1$ $4x_1+x_2=c_2$ The characteristic equation for these simultaneous equation is $\lambda^2 – 4 \lambda – 5=0$ $\lambda^2 – 4 \lambda + 5=0$ $\lambda^2 + 4 \lambda – 5=0$ $\lambda^2 + 4 \lambda + 5=0$

gatecse asked in Linear Algebra Aug 7, 2019

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2

GATE2017 CE-2-2
Let $w=f(x,y)$, where $x$ and $y$ are functions of $t$. Then, according to the chain rule, $\dfrac{dw}{dt}$ is equal to $\dfrac{dw}{dx} \dfrac{dx}{dt} + \dfrac{dw}{dy} \dfrac{dt}{dt} \\$ ... $\dfrac{d w}{dx} \dfrac{\partial x}{\partial t} + \dfrac{dw}{dy} \dfrac{\partial y}{ \partial t}$

gatecse asked in Calculus Aug 7, 2019

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3

GATE2017 CE-2-3
Given that the scope of the construction work is well-defined with all its drawings, specifications, quantities and estimates, which one of the following of contract would be most preferred? EPC contract percentage rate contract Item rate contract Lump sum contract

gatecse asked in Construction Materials and Management Aug 7, 2019

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4

GATE2017 CE-2-4
Let $G$ be the specific gravity of soil solids, $w$ the water content in the soil sample, $\gamma_w$ the unit weight of water, and $\gamma_d$ ... $\gamma_d = \dfrac{Gw}{1 + \gamma_w} \\$ $\gamma_d = \dfrac{Gw}{1 - \gamma_w}$

gatecse asked in Soil Mechanics Aug 7, 2019

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5

GATE2017 CE-2-5
Consider the following statements related to pore pressure parameters, $A$ and $B$: $A$ always lies between $0$ and $1.0$ $A$ can be less than $0$ or greater than $1.0$ $B$ always lies between $0$ and $1.0$ $B$ can be less than $0$ or greater than $1.0$ For these statements, which of the following options is correct? P and R P and S Q and R Q and S

gatecse asked in Soil Mechanics Aug 7, 2019

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6

GATE2017 CE-2-6
Consider a rigid retaining wall with partially submerged cohesionless backfill with a surcharge. Which one of the following diagrams closely represents the Rankine’s active earth pressure distribution against this?

gatecse asked in Foundation Engineering Aug 7, 2019

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7

GATE2017 CE-2-7
If a centrifugal pump has an impeller speed of $N$ (in rpm), discharge $Q$ (in $m^3/s$) and the total head $H$ (in $m$), the expression for the specific speed $N_s$ of the pump is given by $N_s = \dfrac{NQ^{0.5}}{H^{0.5}} \\$ $N_s = \dfrac{NQ^{0.5}}{H}\\$ $N_s = \dfrac{NQ^{0.5}}{H^{0.75}} \\$ $N_s = \dfrac{NQ}{H^{0.5}}$

gatecse asked in Hydraulics Aug 7, 2019

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8

GATE2017 CE-2-8
As per Noise Pollution (Regulation and Control) Rules $2000$ of India, the day time noise limit for a residential zone, expressed in dB(A)L$_{eq}$, is $55$ $65$ $75$ $85$

gatecse asked in Noise Pollution Aug 7, 2019

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9

GATE2017 CE-2-9
Following observations have ben made for the elevation and temperature to ascertain the stability of the atmosphere: $\begin{array}{|c|c|} \hline \text{Elevation (in m) } & \text{Temperature (in }^{\circ} \text{C)} \\ \hline 10 & 15.5 \\ \hline 60 & 15.0 \\ \hline 130 & 14.3 \\ \hline \end{array}$ The atmosphere is classified as Stable Unstable Neutral Inverse

gatecse asked in Air Pollution Aug 7, 2019

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10

GATE2017 CE-2-10
The most important type of species involved in the degradation of organic matter in the case of activated sludge process is autotrophs heterotrophs prototrophs photo-autotrophs

gatecse asked in Water and Waste Water Quality and Treatment Aug 7, 2019

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11

GATE2017 CE-2-11
For a broad gauge railway track on a horizontal curve of radius $R$ (in m), the equilibrium cant $e$ required for a train moving at a speed of $V$ (in km per hour) is $e= 1.676 \dfrac{V^2}{R} \\$ $e= 1.315 \dfrac{V^2}{R} \\$ $e= 0.80 \dfrac{V^2}{R} \\$ $e= 0.60 \dfrac{V^2}{R}$

gatecse asked in Transportation Infrastructure Aug 7, 2019

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12

GATE2017 CE-2-12
The safety within a roundabout and the efficiency of a roundabout can be increased, respectively, by increasing the entry radius and increasing the exit radius increasing the entry radius and decreasing the exit radius decreasing the entry radius and increasing the exit radius decreasing the entry radius and decreasing the exit radius

gatecse asked in Traffic Engineering Aug 7, 2019

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13

GATE2017 CE-2-13
The method of orientation used, when the plane table occupies a position not yet located on the map, is called as traversing radiation levelling resection

gatecse asked in Geomatics Engineering Aug 7, 2019

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14

GATE2017 CE-2-14
Consider the following frame in the figure: If the axial and shear deformations in different members of the frame are assumed to be negligible, the reduction in the degree of kinematical indeterminacy would be equal to $5$ $6$ $7$ $8$

gatecse asked in Structural Analysis Aug 7, 2019

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15

GATE2017 CE-2-15
Let the characteristic strength be defined as that value, below which not more than $50 \%$ of the results are expected to fall. Assuming a standard deviation of $4$ MPa, the target mean strength (in MPa) to be considered in the mix design of a $M25$ concrete would be $18.42$ $21.00$ $25.00$ $31.58$

gatecse asked in Construction Materials and Management Aug 7, 2019

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16

GATE2017 CE-2-16
In a material under a state of plane strain, a $10 \times 10$ mm square centered at a point gets deformed as shown in the figure. If the shear strain $\gamma_{xy}$ at this point is expressed as $0.001k$ (in rad), the value of $k$ is $0.50$ $0.25$ $- 0.25$ $- 0.50$

gatecse asked in Solid Mechanics Aug 7, 2019

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17

GATE2017 CE-2-17
The plate load test was conducted on a clayey strata by using a plate of $0.3 \: m \times 0.3 \: m$ dimensions, and the ultimate load per unit area for the plate for found to be $180$ kPa. The ultimate bearing capacity (in kPa) of a $2$ m wide square footing would be $27$ $180$ $1200$ $2000$

gatecse asked in Foundation Engineering Aug 7, 2019

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18

GATE2017 CE-2-18
For a construction project, the mean and standard deviation of the completion time are $200$ days and $6.1$ days, respectively. Assume normal distribution and use the value of standard normal deviate $z = 1.64$ for the $95 \%$ confidence level. The maximum time required (in days) for the completion of the project would be ________

gatecse asked in Construction Materials and Management Aug 7, 2019

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19

GATE2017 CE-2-19
The divergence of the vector field $V=x^2 i + 2y^3 j + z^4 k$ at $x=1, \: y=2, \: z=3$ is ________

gatecse asked in Calculus Aug 7, 2019

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20

GATE2017 CE-2-20
A two-faced fair coin has its faces designated as head (H) and tail (T). This coin is tossed three times in succession to record the following outcomes: H, H, H. If the coin is tossed one more time, the probability (up to one decimal place) of obtaining H again, given the previous realizations of H, H and H, would be ________

gatecse asked in Probability and Statistics Aug 7, 2019

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21

GATE2017 CE-2-21
A sheet pile has an embedment depth of $12$ m in a homogeneous soil stratum. The coefficient of permeability of soil is $10^{-6} m/s$. Difference in the water levels between the two sides of the sheet pile is $4$ m. The flow net is constructed with ... of equipotential lines. The quantity of seepage (in $cm^3/s$ per m, up to one decimal place) under the sheet pile is _________

gatecse asked in Foundation Engineering Aug 7, 2019

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22

GATE2017 CE-2-22
The VPI (vertical point of section) is $100$ m away (when measured along the horizontal) from the VPC (vertical point of curvature). If the vertical is parabolic, the length of the curve (in meters and measured along the horizontal) is _______

gatecse asked in Geomatics Engineering Aug 7, 2019

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23

GATE2017 CE-2-23
During a storm event in a certain period, the rainfall intensity is $3.5$ cm/hour and the $\Phi$-index is $1.5$ cm/hour. The intensity of effective rainfall (in cm/hour, up to one decimal place) for this period is ________

gatecse asked in Hydrology Aug 7, 2019

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24

GATE2017 CE-2-24
The infiltration capacity of a soil follows the Horton's exponential model, $f=c_1+c_2e^{-kt}$. During an experiment, the initial infiltration capacity was observed to be $200$ mm/h. After a long time, the infiltration capacity was reduced $25$ mm/h. If the filtration capacity ... $k$ (in $h^{-1}$, up to two decimal places) is ________

gatecse asked in Hydrology Aug 7, 2019

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25

GATE2017 CE-2-25
While aligning a hill road with a ruling gradient $6\%$, a horizontal curve of radius $50 \: m$ is encountered. The grade compensation (in percentage, up to two decimal places) to be provided for this case would be _________

gatecse asked in Geomatics Engineering Aug 7, 2019

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26

GATE2017 CE-2-26
The tangent to the curve represented by $y=x \text{ ln }x$ is required to have $45^{\circ}$ inclination with the $x$-axis. The coordinates of the tangent point would be $(1,0)$ $(0, 1)$ $(1,1)$ $(\sqrt{2}, (\sqrt{2})$

gatecse asked in Calculus Aug 7, 2019

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27

GATE2017 CE-2-27
Consider the following definite integral: $I= \displaystyle{} \int_0^1 \dfrac{(\sin ^{-1}x)^2}{\sqrt{1-x^2}} dx$. The value of the integral is $\dfrac{\pi ^3}{24} \\$ $\dfrac{\pi ^3}{12} \\$ $\dfrac{\pi ^3}{48} \\$ $\dfrac{\pi ^3}{64}$

gatecse asked in Calculus Aug 7, 2019

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28

GATE2017 CE-2-28
If $A = \begin{bmatrix} 1 & 5 \\ 6 & 2 \end{bmatrix}$ and $B= \begin{bmatrix} 3 & 7 \\ 8 & 4 \end{bmatrix}, \: AB^T$ is equal to $\begin{bmatrix} 38 & 28 \\ 32 & 56 \end{bmatrix}$ $\begin{bmatrix} 3 & 40 \\ 42 & 8 \end{bmatrix}$ $\begin{bmatrix} 43 & 27 \\ 34 & 50 \end{bmatrix}$ $\begin{bmatrix} 38 & 32 \\ 28 & 56 \end{bmatrix}$

gatecse asked in Linear Algebra Aug 7, 2019

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29

GATE2017 CE-2-29
Consider the following second-order differential equation: $y’’ – 4y’+3y =2t -3t^2$. The particular solution of the differential solution equation is $ – 2 -2t-t^2$ $ – 2t-t^2$ $2t-3t^2$ $ – 2 -2t-3 t^2$

gatecse asked in Partial Differential Equation (PDE) Aug 7, 2019

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30

GATE2017 CE-2-30
Group I gives a list of test methods and test apparatus for evaluating some of the properties of Ordinary Portland Cement (OPC) and concrete. Group II gives the list of these properties. ... $P - 4; Q - 2; R - 4; S - 1$ $P - 1; Q - 4; R - 2; S - 3$

gatecse asked in Construction Materials and Management Aug 7, 2019

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31

GATE2017 CE-2-31
Two prismatic beams having the same flexural rigidity of $1000 \: kN-m^2$ are shown in the figures. If the mid-span deflections of these beams are denoted by $\delta_1$ and $\delta_2$ (as indicated in the figures), the correct option is $\delta_1 = \delta_2$ $\delta_1 < \delta_2$ $\delta_1 > \delta_2$ $\delta_1 >> \delta_2$

gatecse asked in Structural Analysis Aug 7, 2019

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32

GATE2017 CE-2-32
Consider the prismatic beams with the clamped supports P, Q, and R as shown in the figures. Given that eh modulus of elasticity, $E$ is $2.5 \times 10^4$ MPa; and the moment of inertia, $I$ is $8 \times 10^8 \: mm^4$, the correct comparison of the magnitudes of the ... $M_P = M_Q>M_R$ $S_P < S_Q> S_R$; $M_P = M_Q=M_R$ $S_P < S_Q< S_R$; $M_P < M_Q < M_R$

gatecse asked in Structural Analysis Aug 7, 2019

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33

GATE2017 CE-2-33
Consider the following statements: Walls of one brick thick are measured in square meters Walls of one brick thick are measured in cubic meters No deduction in the brickwork quantity is made for openings in walls up to $0.1 \: m^2$ area. For the measurement of excavation from the borrow pit ... False P - True, Q - False, R - True, S - False P - True, Q - False, R - True, S - True

gatecse asked in Construction Materials and Management Aug 7, 2019

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34

GATE2017 CE-2-34
Two identical concrete piles having the plan dimensions $50 \: cm \times 50 \: cm$ are driven into a homogeneous sandy layers as shown in the figures. Consider the bearing capacity factor $N_q$ for $\phi = 30 ^{\circ}$ as $24$. If $Q_{P1}$ and $Q_{P2}$ represent the ultimate point ... by about $100 \%$ $Q_{P1} > Q_{P2}$ by about $5 \%$ $Q_{P1} < Q_{P2}$ by about $5 \%$

gatecse asked in Foundation Engineering Aug 7, 2019

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35

GATE2017 CE-2-35
Following are the statements related to the stress paths in a triaxial testing of soils: If $\sigma_1 = \sigma_3$, the stress point lies at the origin of the $p-q$ plot If $\sigma_1 = \sigma_3$, the stress point lies on the $p$-axis of the $p-q$ plot If $\sigma_1 > \sigma_3$, ... - True P - True; Q - False; R - True P - False; Q - True; R - False P - True; Q - False; R - False

gatecse asked in Soil Mechanics Aug 7, 2019

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36

GATE2017 CE-2-36
Two cars P and Q are moving in a racing track continuously for two hours. Assume that no other vehicles are using the track during this time. The expressions relating the distance travelled $d$ (in km) and time $t$ (in hour) for both vehicles are given as P: $d=60 \: t$ Q: ... would be $15$ km at $30$ minutes $15$ km at $15$ minutes $30$ km at $30$ minutes $30$ km at $15$ minutes

gatecse asked in Traffic Engineering Aug 7, 2019

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37

GATE2017 CE-2-37
For the construction of a highway, a cut is to be made as shown in the figure. The soil exhibits $c'=20$ kPa, $\phi'=18^{\circ}$, and the undrained shear strength $=80$ kPa. The unit weight of water is $9.81 kN/m^3$. The unit weights of the soil above and below the ground water ... conditions, respectively, would be $1.6$ and $0.9$ $0.9$ and $1.6$ $0.6$ and $1.2$ $1.2$ and $0.6$

gatecse asked in Transportation Infrastructure Aug 7, 2019

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38

GATE2017 CE-2-38
Two towers, A and B, standing vertically on a horizontal ground, appear in a vertical aerial photograph as shown in the figure. The length of the image of the tower A on the photograph is $1.5$ cm and the tower B is $2.0$ cm. The distance of the top tower A ( ... point $p$ of the photograph. If the height of the tower B is $80$ m, the height (in meters) of the tower A is ________

gatecse asked in Geomatics Engineering Aug 7, 2019

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39

GATE2017 CE-2-39
A hallow circular shaft has an outer diameter of $100 $ mm and inner diameter of $50 $ mm. If the allowable shear stress is $125$ MPa, the maximum torque (in kN-m) that the shaft can resist is _______

gatecse asked in Solid Mechanics Aug 7, 2019

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40

GATE2017 CE-2-40
A simply supprted rectangular concrete beam of span $8$ m has to be prestressed with a force of $1600$ ... (in meters, up to two decimal places) of the tendon at the mid-span to balance the external load should be __________

gatecse asked in Concrete Structures Aug 7, 2019

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