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1

GATE2020-CE-1-1
In the following partial differential equation, $\theta$ is a function of $t$ and $z$, and $D$ and $K$ are functions of $\theta$ ... The above equation is a second order linear equation a second degree linear equation a second order non-linear equation a second degree non-linear equation

asked Feb 28 in Others by jothee (2.7k points)

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2

GATE2020-CE-1-2
The value of $\lim_{x\to\infty}\frac{x^2-5x+4}{4x^2+2x}$ is $0 \\$ $\large\frac{1}{4} \\$ $\large\frac{1}{2} \\$ $\:1$

asked Feb 28 in Others by jothee (2.7k points)

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3

GATE2020-CE-1-3
The true value of $\ln(2)$ is $0.69$. If the value of $\ln(2)$ is obtained by linear interpolation between $\ln(1)$ and $\ln(6)$, the percentage of absolute error (round off to the nearest integer), is $35$ $48$ $69$ $84$

asked Feb 28 in Others by jothee (2.7k points)

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4

GATE2020-CE-1-4
The area of an ellipse represented by an equation $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ is $\large\frac{\pi ab}{4}$ $\large\frac{\pi ab}{2}$ $\pi ab$ $\large\frac{4\pi ab}{3}$

asked Feb 28 in Others by jothee (2.7k points)

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5

GATE2020-CE-1-5
Consider the planar truss shown in the figure (not drawn to the scale) Neglecting self weight of the numbers, the number of zero-force members in the truss under the action of the load $P$, is $6$ $7$ $8$ $9$

asked Feb 28 in Others by jothee (2.7k points)

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6

GATE2020-CE-1-6
A reinforcing steel bar, partially embedded in concrete, is subjected to a tensile force $P$. The figure that appropriately represents the distribution of the magnitude of bond stress (represented as hatched region), along the embedded length of the bar, is

asked Feb 28 in Others by jothee (2.7k points)

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7

GATE2020-CE-1-7
In a two-dimensional stress analysis, the state of stress at a point $P$ is $\begin{bmatrix} \sigma \end{bmatrix} = \begin{bmatrix}\sigma_{xx} &\tau_{xy} \\ \tau_{xy} &\sigma_{yy} \end{bmatrix}$ The necessary and sufficient condition for existence of the state of pure shear at ... $\tau_{xy}=0$ $\sigma_{xx}+\sigma_{yy}=0$ $(\sigma_{xx}-\sigma_{yy})^2+4\tau^2_{xy}=0$

asked Feb 28 in Others by jothee (2.7k points)

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8

GATE2020-CE-1-8
During the process of hydration of cement, due to increase in Dicalcium Silicate $(C_2S)$ content in cement clinker, the heat of hydration increases decreases initially decreases and then increases does not change

asked Feb 28 in Others by jothee (2.7k points)

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9

GATE2020-CE-1-9
The Los Angeles test for stone aggregates is used to examine abrasion resistance crushing strength soundness specific gravity

asked Feb 28 in Others by jothee (2.7k points)

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10

GATE2020-CE-1-10
Which one of the following statements is. $\textbf{NOT}$ correct? A clay deposit with a liquidity index greater than unity is in a state of plastic consistency. The cohesion of normally consolidated clay is zero when triaxial test is conducted ... 's equation predicts higher value of vertical stress at a point directly beneath the load as compared to Westergaards's equation.

asked Feb 28 in Others by jothee (2.7k points)

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11

GATE2020-CE-1-11
In a soil investigation work at a site, Standard Penetration Test (SPT) was conducted at every $1.5\:m$ interval upto $30\: m$ depth. At $3\:m$ depth, the observed number of hammer blows for three successive $150\:mm$ penetrations were $8,6$ and $9$,respectively. The SPT N-value at $3\:m$ depth, is $23$ $17$ $15$ $14$

asked Feb 28 in Others by jothee (2.7k points)

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12

GATE2020-CE-1-12
Velocity of flow is proportional to the first power of hydraulic gradient in Darcy’s law. This law is applicable to laminar flow in porous media transitional flow in porous media turbulent flow in porous media laminar as well as turbulent flow in porous media

asked Feb 28 in Others by jothee (2.7k points)

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13

GATE2020-CE-1-13
A body floating in a liquid is in a stable state of equilibrium if its metacentre lies above its centre of gravity metacentre lies below its centre of gravity metacentre coincides with its centre of gravity centre of gravity is below its centre of buoyancy

asked Feb 28 in Others by jothee (2.7k points)

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14

GATE2020-CE-1-14
Uniform flow with velocity $U$ makes an angle $\theta$ with $y$-axis, as shown in the figure The velocity potential $(\phi)$, is $\pm U(x\sin\theta+y\cos\theta)$ $\pm U(y\sin\theta-x\cos\theta)$ $\pm U(x\sin\theta-y\cos\theta)$ $\pm U(y\sin\theta+x\cos\theta)$

asked Feb 28 in Others by jothee (2.7k points)

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15

GATE2020-CE-1-15
The data for an agricultural field for a specific month are given below: ... $mm$) to be applied to the field in that month, is $0$ $20$ $40$ $80$

asked Feb 28 in Others by jothee (2.7k points)

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16

GATE2020-CE-1-16
During chlorination process, aqueous (aq) chlorine reacts rapidly with water to form $Cl^-,HOCl$, and $H^+$ as shown below $Cl_2(aq)+H_2O\:{\large\rightleftharpoons}\:HOCl+Cl^-+H^+$ The most active disinfectant in the chlorination process from amongst the following, is $H^+$ $HOCl$ $Cl^-$ $H_2O$

asked Feb 28 in Others by jothee (2.7k points)

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17

GATE2020-CE-1-17
An amount of $35.67\:mg\:HCl$ is added to distilled water and the total solution volume is made to one litre. The atomic weights of $H$ and $Cl$ are $1$ and $35.5$, respectively. Neglecting the dissociation of water, the pH of the solution, is $3.50$ $3.01$ $2.50$ $2.01$

asked Feb 28 in Others by jothee (2.7k points)

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18

GATE2020-CE-1-18
The probability that a $50$ year flood may $\textbf{NOT}$ occur at all during $25$ years life of a project (round off to two decimal places), is _______.

asked Feb 28 in Others by jothee (2.7k points)

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19

GATE2020-CE-1-19
A planar elastic structure is subjected to uniformly distributed load, as shown in the figure (not drawn to the scale) Neglecting self-weight, the maximum bending moment generated in the structure (in $kN.m$, round off to the nearest integer), is _______.

asked Feb 28 in Others by jothee (2.7k points)

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20

GATE2020-CE-1-20
In an urban area, a median is provided to separate the opposing stream of traffic. As per $IRC:86-1983$, the desirable minimum width (in $m$, expressed as integer) of the median, is _______.

asked Feb 28 in Others by jothee (2.7k points)

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21

GATE2020-CE-1-21
A road in a hilly terrain is to be laid at a gradient of $4.5\%$. A horizontal curve of radius $100\:m$ is laid at a location on this road. Gradient needs to be eased due to combination of curved horizontal and vertical profiles of the road. As per IRC, the compensated gradient (in $\%$, round off to one decimal place), is _______.

asked Feb 28 in Others by jothee (2.7k points)

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22

GATE2020-CE-1-22
In a drained triaxial compression test, a sample of sand fails at deviator stress of $150\:kPa$ under confining pressure of $50\:kPa$. The angle of internal friction (in degree, round off to the nearest integer) of the sample, is ______

asked Feb 28 in Others by jothee (2.7k points)

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23

GATE2020-CE-1-23
A fully submerged infinite sandy slope has an inclination of $30^\circ{}$ with the horizontal. The saturated unit weight and effective angle of internal friction of sand are $18\:kN/m^3$ and $38^\circ{}$ ... is parallel to the slope. Against shear failure of the slope, the factor of safety (round off to two decimal places) is ______.

asked Feb 28 in Others by jothee (2.7k points)

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24

GATE2020-CE-1-24
A $4\:m$ wide rectangular channel carries $6\:m^3/s$ of water. The Manning’s ‘$n$’ of the open channel is $0.02$. Considering $g=9.81\:m/s^2$, the critical velocity of flow (in $m/s$, round off to two decimal places ) in the channel, is ____________.

asked Feb 28 in Others by jothee (2.7k points)

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25

GATE2020-CE-1-25
A river has a flow of $1000$ million litres per day (MLD), $BOD_5$ of $5\:mg/litre$ and Dissolved Oxygen (DO) level of $8\:mg/litre$ before receiving the wastewater discharge at a location. For the existing environmental conditions, the saturation ... complete mixing of wastewater and river water, the immediate DO deficit (in $mg/litre$ round off to two decimal places), is ______.

asked Feb 28 in Others by jothee (2.7k points)

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26

GATE2020-CE-1-26
For the Ordinary Differential Equation ${\large\frac{d^2x}{dt^2}}-5{\large\frac{dx}{dt}}+6x=0$, with initial conditions $x(0)=0$ and ${\large\frac{dx}{dt}}(0)=10$, the solution is $-5e^{2t}+6e^{3t}$ $5e^{2t}+6e^{3t}$ $-10e^{2t}+10e^{3t}$ $10e^{2t}+10e^{3t}$

asked Feb 28 in Others by jothee (2.7k points)

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27

GATE2020-CE-1-27
A continuous function $f(x)$ is defined. If the third derivative at $x_i$ is to be computed by using the fourth order central finite-divided-difference scheme (with step length $=h$ ...

asked Feb 28 in Others by jothee (2.7k points)

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28

GATE2020-CE-1-28
Distributed load(s) of $50\:kN/m$ may occupy position(s) (either continuously or in patches) on the girder $\textbf{PQRST}$ as shown in the figure (not drawn to the scale) The maximum negative (hogging) bending moment (in $kN.m$) that occurs at point $\textbf{R}$, is $22.50$ $56.25$ $93.75$ $150.00$

asked Feb 28 in Others by jothee (2.7k points)

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29

GATE2020-CE-1-29
A rigid weightless platform $\textbf{PQRS}$ shown in the figure ( not drawn to the scale) can slide freely in the vertical direction. The platform is held in position by the weightless member $\textbf{OJ}$ and four weightless, frictionless rollers. Points $\textbf{O}$ ... of horizontal component of the reaction ( in $kN$) at pin $\textbf{O}$, is $90$ $120$ $150$ $180$

asked Feb 28 in Others by jothee (2.7k points)

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30

GATE2020-CE-1-30
A cantilever beam $\textbf{PQ}$ of uniform flexural rigidity (EI) is subjected to a concentrated moment M at $\textbf{R}$ as shown in the figure The deflection at the free end $\textbf{Q}$ is $\large\frac{ML^2}{6EI} \\$ $\large\frac{ML^2}{4EI} \\$ $\large\frac{3ML^2}{8EI} \\$ $\large\frac{3ML^2}{4EI} $

asked Feb 28 in Others by jothee (2.7k points)

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31

GATE2020-CE-1-31
A dowel bar is placed at a contraction joint. When contraction occurs, the concrete slab cracks at predetermined location(s). Identify the arrangement, which shows the correct placement of dowel bar and the place of occurrence of the contraction of crack(s).

asked Feb 28 in Others by jothee (2.7k points)

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32

GATE2020-CE-1-32
The relationship between traffic flow rate (q) and density (D) is shown in the figure The shock wave condition is depicted by flow with respect to point $1\:(q_1=q_{max})$ flow changing from point $2$ to point $6\:(q_2>q_6)$ flow changing from point $3$ to point $7\:(q_3<q_7)$ flow with respect to point $4$ and point $5\:(q_4=q_5)$

asked Feb 28 in Others by jothee (2.7k points)

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33

GATE2020-CE-1-33
The appropriate design length of a clearway is calculated on the basis of ‘Normal Take-off’ condition. Which one of the following options correctly depicts the length of the clearway? (Note: None of the options are drawn to scale)

asked Feb 28 in Others by jothee (2.7k points)

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34

GATE2020-CE-1-34
The total stress paths corresponding to different loading conditions, for a soil specimen under the isotropically consolidated stress state (O), are shown below ... $OP-III, OQ-II, OR-I, OS-IV$ $OP-I, OQ-III, OR-II, OS-IV$

asked Feb 28 in Others by jothee (2.7k points)

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35

GATE2020-CE-1-35
The soil profile at a site up to a depth of $10\:m$ is shown in the figure ( not drawn to the scale). The soil is preloaded with a uniform surcharge (q) of $70\:kN/m^2$ at the ground level. The water table is at a depth of $3\:m$ below ground level. The soil unit weight ... $kPa$) at points $P$ and $Q$, respectively, are $124$ and $204$ $36$ and $ 90$ $36$ and $126$ $54$ and $95$

asked Feb 28 in Others by jothee (2.7k points)

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36

GATE2020-CE-1-36
Water flows at the rate of $12\:m^3/s$ in a $6\:m$ wide rectangular channel. A hydraulic jump is formed in the channel at a point where the upstream depth is $30\:cm$ (just before the jump). Considering acceleration due to gravity as $9.81\:m/s^2$ and density of water as $1000\:kg/m^3$, the energy loss in the jump is $114.2\:kW$ $114.2\:MW$ $141.2\:h.p.$ $141.2\:J/s$

asked Feb 28 in Others by jothee (2.7k points)

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37

GATE2020-CE-1-37
A water supply scheme transports $10\:MLD$ (MIllion Litres per Day) water through a $450\:mm$ diameter pipeline for a distance of $2.5\:km$. A chlorine dose of $3.50\:mg/litre$ is applied at the starting point of the pipeline to attain a certain level of disinfection at ... the chlorine dose (in $mg/litre$) to be applied at the starting point should be $3.95$ $4.40$ $4.75$ $5.55$

asked Feb 28 in Others by jothee (2.7k points)

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38

GATE2020-CE-1-38
An open traverse PQRST is surveyed using theodolite and the consecutive coordinates obtained are given in the table If the independent coordinates (Northing, Easting) of station $P$ are $(400\:m,200\:m)$, the independent coordinates (in $m$) of station $T$, are $194.7,370.1$ $205.3,429.9$ $394.7,170.1$ $405.3,229.9$

asked Feb 28 in Others by jothee (2.7k points)

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39

GATE2020-CE-1-39
If $C$ represents a line segment between $(0,0,0)$ and $(1,1,1)$ in Cartesian coordinate system, the value (expressed as integer) of the line integral $\int_C [(y+z)dx+(x+z)dy+(x+y)dz] $ is ______

asked Feb 28 in Others by jothee (2.7k points)

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40

GATE2020-CE-1-40
Consider the system of equations $\begin{bmatrix}1&3&2 \\2&2&-3 \\ 4&4&-6 \\ 2&5&2 \end{bmatrix} \begin{bmatrix} x_1 \\ x_2 \\ x_3 \end{bmatrix} = \begin{bmatrix} 1 \\ 1 \\ 2 \\ 1 \end{bmatrix}$ The value of $x_3$(round off to the nearest integer), is ___________.

asked Feb 28 in Others by jothee (2.7k points)