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1
GATE2020CE150
In a homogenous unconfined aquifer of area $3.00\:km^2$, the water table was at an elevation of $102.00\:m$. After a natural recharge of volume $0.90$ million cubic meter $(Mm^3)$, the water table rose to $103.20\:m$. After this recharge,ground ... $Mm^3$ and round off to two decimal places), is ______.
edited
5 days
ago
in
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by
soujanyareddy13
(
100
points)
gate2020ce1
watertable
foundationengineering
geotechnicalengineering
0
votes
0
answers
2
GATE2017 CE1: 34
The radius of a horizontal circular curve on a highway is $120$ m. The design speed is $60$ km/hour, and the design coefficient of lateral friction between the tyre and road surface is $0.15$. The estimated value of superrelevation required (if full lateral friction is assumed to develop), and the ... $\dfrac{1}{11.6} \text{ and } 0.24 \\$ $\dfrac{1}{12.9} \text{ and } 0.24$
edited
Aug 1
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jothee
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2.7k
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gate2017ce1
trafficengineering
transportationengineering
speed
0
votes
0
answers
3
GATE201238
Steady state seepage is taking place through a soil element at $Q$, $2$ m below the ground surface immediately downstream of the toe of an earthen dam as shown in the sketch. The water level in a piezometer installed at $P$, $500$ mm above $Q$, is at the ground surface. The water level ... $Q$ is $14.42$ $15.89$ $16.38$ $18.34$
edited
Jul 31
in
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by
jothee
(
2.7k
points)
gate2012ce
hydrology
waterresourcesengineering
steadystate
0
votes
0
answers
4
GATE201234
A symmetric frame $PQR$ consists of two inclined members $PQ$ and $QR$, connected at $‘Q’$ with a rigid joint, and hinged at $‘P’$ and $‘R’$. The horizontal length $PR$ is $l$. If a weight $W$ is suspended at $‘Q’$, the bending moment at $‘Q’$ is $\dfrac{Wl}{2} \\$ $\dfrac{Wl}{4} \\$ $\dfrac{Wl}{8} \\$ zero
edited
Jul 31
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by
jothee
(
2.7k
points)
gate2012ce
transportationengineering
transportationinfrastructure
horizontalandverticalalignments
0
votes
0
answers
5
GATE201231
A simply supported beam is subjected ti a uniformly distributed load of intensity $w$ per unit length, on half of the span from one end. The length of the span and the flexural stiffness are denoted as $l$ and $EI$ ... $\dfrac{5}{384} \dfrac{wl^4}{EI} \\$ $\dfrac{5}{192} \dfrac{wl^4}{EI}$
edited
Jul 31
in
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by
jothee
(
2.7k
points)
gate2012ce
solidmechanics
structuralengineering
flexuralstiffness
beam
0
votes
0
answers
6
GATE201230
The solution of the ordinary differential equation $\dfrac{dy}{dx}+2y=0$ for the boundary condition, $y=5$ at $x=1$ is $y=e^{2x}$ $y=2e^{2x}$ $y=10.95 e^{2x}$ $y=36.95 e^{2x}$
edited
Jul 31
in
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by
jothee
(
2.7k
points)
gate2012ce
differentialequation
engineeringmathematics
0
votes
0
answers
7
GATE201227
In an experiment, positive and negative values are equally likely to occur. The probability of obtaining at most one negative value in five trials is $\dfrac{1}{32} \\$ $\dfrac{2}{32} \\$ $\dfrac{3}{32} \\$ $\dfrac{6}{32}$
edited
Jul 31
in
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by
jothee
(
2.7k
points)
gate2012ce
probability
engineeringmathematics
0
votes
0
answers
8
GATE201226
The error in $\dfrac{d}{dx} f(x) \mid_{x=x_0}$ for a continuous function estimated with $h=0.03$ using the central difference formula $\dfrac{d}{dx} f(x) \mid_{x=x_0} \approx \dfrac{f(x_0+h)f(x_0h)}{2h}$, is $2 \times 10^{3}$. The values of $x_0$ and $f(x_0)$ ... $h=0.02$ is approximately $1.3 \times 10^{4}$ $3.0 \times 10^{4}$ $4.5 \times 10^{4}$ $9.0 \times 10^{4}$
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Jul 31
in
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by
jothee
(
2.7k
points)
gate2012ce
engineeringmathematics
0
votes
0
answers
9
GATE201221
... $\textbf{[a]}$ and $\textbf{[r]}$ are false $\textbf{[a]}$ is true but $\textbf{[r]}$ is false
edited
Jul 31
in
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by
jothee
(
2.7k
points)
gate2012ce
waterandwastewater
waterresourceengineering
seweragetreatment
0
votes
0
answers
10
GATE20127
As per $IS \: 456:2000$, in the Limit State Design of a flexural member, the strain in reinforcing bars under tension at ultimate state should not be less than $\dfrac{f_y}{E_s} \\$ $\dfrac{f_y}{E_s}+0.002 \\$ $\dfrac{f_y}{1.15E_s} \\$ $\dfrac{f_y}{1.15E_s}+0.002$
edited
Jul 31
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by
jothee
(
2.7k
points)
gate2012ce
steelstructures
structuralengineering
limitstatedesign
0
votes
0
answers
11
GATE20126
If a small concrete cube is submerged deep in still water in such a way that the pressure exerted on all faces of the cube is $p$, then the maximum shear stress developed inside the cube is $0$ $\dfrac{p}{2}$ $p$ $2p$
edited
Jul 31
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by
jothee
(
2.7k
points)
gate2012ce
solidmechanics
structuralengineering
shearstresses
0
votes
0
answers
12
GATE20124
The Poisson’s ratio is defined as $\begin{vmatrix} \dfrac{\text{axial stress}}{\text{lateral stress}} \end{vmatrix} \\$ $\begin{vmatrix} \dfrac{\text{lateral strain}}{\text{axial strain}} \end{vmatrix} \\$ $\begin{vmatrix} \dfrac{\text{lateral stress}}{\text{axial stress}} \end{vmatrix} \\$ $\begin{vmatrix} \dfrac{\text{axial strain}}{\text{lateral strain}} \end{vmatrix}$
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Jul 31
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jothee
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2.7k
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gate2012ce
probabilityandstatistics
engineeringmathematics
poissonsratio
0
votes
0
answers
13
GATE20123
The infinite series $1+x+\dfrac{x^2}{2!}+\dfrac{x^3}{3!}+\dfrac{x^4}{4!} + \dots $ corresponds to $\sec x$ $e^x$ $\cos x$ $1+\sin^2x$
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Jul 31
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jothee
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2.7k
points)
gate2012ce
engineeringmathematics
0
votes
0
answers
14
GATE20121
The estimate of $\int_{0.5}^{1.5} \dfrac{dx}{x}$ obtained using Simpson’s rule with threepoint function evaluation exceeds the exact value by $0.235$ $0.068$ $0.024$ $0.012$
edited
Jul 31
in
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by
jothee
(
2.7k
points)
gate2012ce
numericalmethods
engineeringmathematics
simpsonsrule
0
votes
0
answers
15
GATE201361
$X$ and $Y$ are two positive real numbers such that $2X+Y \leq 6$ and $X + 2Y \leq 8$. For which of the following values of $(X,Y)$ the function $f(X,Y)=3X + 6Y$ will give maximum value ? $\left(\dfrac{4}{3} , \dfrac{10}{3}\right) \\$ $\left(\dfrac{8}{3} , \dfrac{20}{3}\right) \\$ $\left(\dfrac{8}{3} , \dfrac{10}{3}\right) \\$ $\left(\dfrac{4}{3} , \dfrac{20}{3}\right)$
edited
Jul 28
in
Numerical Ability
by
jothee
(
2.7k
points)
gate2013ce
0
votes
0
answers
16
GATE201318
For a two dimensional flow field, the stream function $\psi$ is given as $\psi = \dfrac{3}{2}(y^2x^2)$. The magnitude of discharge occurring between the stream lines passing through points $(0,3)$ and $(3,4)$ is $6$ $3$ $1.5$ $2$
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Jul 28
in
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by
jothee
(
2.7k
points)
gate2013ce
waterresourcesengineering
0
votes
0
answers
17
GATE201320
Some of the water quality parameters are measured by titrating a water sample with a titrant. Group I gives a list of parameters and GroupII gives the list of titrants. ... $P  2, Q  1, R  4, S  3$ $P  4, Q  3, R  2, S  1$
edited
Jul 28
in
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by
jothee
(
2.7k
points)
gate2013ce
waterresourcesengineering
waterandwastewater
waterqualityparameters
0
votes
0
answers
18
GATE201321
A water treatment plant is designed to treat $1 \: m^3/s$ of raw water. It has $14$ sand filters. Surface area of each filter is $50 \: m^2$. What is the loading rate (in $\dfrac{m^3}{\text{day} \cdot m^2}$) with two filters out of service for routine backwashing? __________
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Jul 28
in
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by
jothee
(
2.7k
points)
gate2013ce
numericalanswers
waterandwastewater
environmentalengineering
watertreatmentplant
0
votes
0
answers
19
GATE201330
Laplace equation for water flow in soils is given below. $\dfrac{\partial ^2H}{\partial x^2} + \dfrac{\partial ^2H}{\partial y^2} + \dfrac{\partial ^2H}{\partial z^2} = 0$ Head $H$ does not vary in $y$ and $z$ directions. Boundary conditions are: at $x=0$, $H=5$; and $\dfrac{dH}{dx}=1$. What is the value of $H$ at $x=1.2$? __________
edited
Jul 28
in
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by
jothee
(
2.7k
points)
gate2013ce
numericalanswers
ordinarydifferentialequation
engineeringmathematics
laplaceequation
0
votes
0
answers
20
GATE201329
Find the value of $\lambda$ such that the function $f(x)$ is a valid probability density function _______ $f(x) = \begin{cases} \lambda (x1)(2x) & \text{for } 1 \leq x \leq 2 \\ 0 & \text{otherwise} \end{cases}$
edited
Jul 28
in
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by
jothee
(
2.7k
points)
gate2013ce
numericalanswers
probabilityandstatistics
engineeringmathematics
probabilitydensityfunction
0
votes
0
answers
21
GATE201328
The solution for $\int_0^{\pi/6} \cos^4 3 \theta \sin^3 6 \theta \: d \theta$ is $0 \\$ $\dfrac{1}{15} \\$ $1 \\$ $\dfrac{8}{3}$
edited
Jul 28
in
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by
jothee
(
2.7k
points)
gate2013ce
engineeringmathematics
0
votes
0
answers
22
GATE201327
Find the magnitude of the error (correct to two decimal places) in the estimation of following integral using Simpson’s $\dfrac{1}{3}$ Rule. Take the step length as $1$ _________ $\int_0^4 (x^4+10) dx$
edited
Jul 28
in
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by
jothee
(
2.7k
points)
gate2013ce
numericalanswers
simpsonsrule
numericalmethods
engineeringmathematics
0
votes
0
answers
23
GATE201342
A settling tank in a water treatment plant is designed for a surface overflow rate of $30 \dfrac{m^3}{\text{day} \cdot m^2}$. Assume specific gravity of sediment particles $=2.65$, density of water $(\rho) =1000 \: kg/m^3$ ... $0.01$ mm $0.02$ mm $0.03$ mm $0.04$ mm
edited
Jul 28
in
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by
jothee
(
2.7k
points)
gate2013ce
watertreatmentplant
waterandwastewater
environmentalengineering
0
votes
0
answers
24
GATE201332
A uniform beam $(EI = \textit{constant})PQ$ in the form of a quartercircle of radius $R$ is fixed at end $P$ and free at the end $Q$, where a load $W$ is applied as shown. The vertical downward displacement, $\delta_q$, at the loaded point $Q$ is given by: $\delta_q = \beta \bigg( \dfrac{WR^3}{EI} \bigg)$. Find the value of $\beta$(correct to $4$decimal places). ______
edited
Jul 28
in
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by
jothee
(
2.7k
points)
gate2013ce
numericalanswers
structuralengineering
beams
0
votes
0
answers
25
GATE201323
It was observed that $150$ vehicles crossed a particular location of a highway in a duration of $30$ minutes. Assuming that vehicle arrival follows a negative exponential distribution, find out the number of time headways greater than $5$ seconds in the above observation? ________
retagged
Jul 28
in
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jothee
(
2.7k
points)
gate2013ce
highwaypavements
transportationengineering
exponentialdistribution
probabilityandstatistics
engineeringmathematics
numericalanswers
0
votes
0
answers
26
GATE201310
The pinjointed $2D$ truss is loaded with a horizontal force of $15 \: kN$ at joint S and another $15 \: kN$ vertical force at joint U, as shown. Find the force in member RS (in $kN$) and report your answer taking tension as positive and compression as negative _________
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Jul 28
in
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by
jothee
(
2.7k
points)
gate2013ce
structuralanalysis
structuralengineering
analysisoftrusses
numericalanswers
0
votes
0
answers
27
GATE2014252
On a section of a highway the speeddensity relationship is linear an is given by $v=\big[80 – \dfrac{2}{3}k\big]$; where $v$ is in km/h and $k$ is in veh/km. The capacity (in veh/h) of this section of the highway would be $1200$ $2400$ $4800$ $9600$
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Jul 28
in
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by
jothee
(
2.7k
points)
gate2014ce2
highwaypavements
transportationengineering
0
votes
0
answers
28
GATE2014245
With reference to a standard Cartesian (x, y) plane, the parabolic velocity distribution profile of fully developed laminar flow in xdirection between two parallel, stationary and identical plates that are separated by distance, h, is given by the expression ...
edited
Jul 28
in
Others
by
jothee
(
2.7k
points)
gate2014ce2
engineeringmathematics
0
votes
0
answers
29
GATE2014234
A prismatic beam (as shown below) has plastic moment capacity of $M_p$, then the collapse load $P$ of the beam is $\dfrac{2M_p}{L} \\$ $\dfrac{4M_p}{L} \\$ $\dfrac{6M_p}{L} \\$ $\dfrac{8M_p}{L}$
edited
Jul 28
in
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by
jothee
(
2.7k
points)
gate2014ce2
steelstructures
structuralengineering
plasticanalysisofbeams
0
votes
0
answers
30
GATE2014229
Water is flowing at a steady rate through a homogeneous and saturated horizontal soil strip of $10$ m length. The strip is being subjected to a constant water head $(H)$ of $5$ m at the beginning and $1$ m at the end. If the governing equation of flow in the soil ... $x$ is the distance along the soil strip), the value of $H$ (in m) at the middle of the strip is _______
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Jul 28
in
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jothee
(
2.7k
points)
gate2014ce2
numericalanswers
structuralengineering
steadyrate
soilstrip
0
votes
0
answers
31
GATE2014217
A plane flow has velocity components $u=\dfrac{x}{T_1}$, $v=\dfrac{y}{T_2}$ and $w=0$ along $x,y$ and $z$ directions respectively, where $T_1( \neq 0)$ and $T_2 (\neq 0)$ are constants having the dimension of time. The given flow is incompressible if $T_1=T_2 \\$ $T_1= \dfrac{T_2}{2} \\$ $T_1=\dfrac{T_2}{2} \\$ $T_1=T_2$
edited
Jul 28
in
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by
jothee
(
2.7k
points)
gate2014ce2
hydraulics
waterresourcesengineering
0
votes
0
answers
32
GATE201425
If $\{x\}$ is a continuous, real valued random variable defined over the interval $( \infty, + \infty)$ and its occurrence is defined by the density function given as: $f(x) = \dfrac{1}{\sqrt{2 \pi} *b} e^{\frac{1}{2} (\frac{xa}{b})^2}$ where $'a'$ and $b'$ are the statistical ... $1$ $0.5$ $\pi$ $\dfrac{\pi}{2}$
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Jul 28
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by
jothee
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2.7k
points)
gate2014ce2
engineeringmathematics
statistics
densityfunction
0
votes
0
answers
33
GATE201424
The integrating factor for the differential equation $\dfrac{dP}{dt}+k_2P=k_1L_0e^{k_1t}$ is $e^{k_1t} \\$ $e^{k_2t} \\$ $e^{k_1t} \\$ $e^{k_2t}$
edited
Jul 28
in
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by
jothee
(
2.7k
points)
gate2014ce2
differentialequation
engineeringmathematics
0
votes
0
answers
34
GATE201421
A fair (unbiased) coin was tossed four times in succession and resulted in the following outcomes: (i) Head, (ii) Head, (iii) Head, (iv) Head. The probability of obtaining a ‘Tail’ when the coin is tossed again is $0$ $\dfrac{1}{2} \\$ $\dfrac{4}{5} \\$ $\dfrac{1}{5}$
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Jul 28
in
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by
jothee
(
2.7k
points)
gate2014ce2
probabilityandstatistics
conditionalprobability
engineeringmathematics
0
votes
0
answers
35
GATE2014126
If the following equation establishes equilibrium in slightly bent position, the midspan deflection of a member shown in the figure is $\frac{d^2y}{dx^2}+\frac{P}{EI}y=0$ If $a$ is amplitude constant for $y,$ then $y=\dfrac{1}{P} \bigg( 1 a \cos \dfrac{2 \pi x}{L} \bigg) \\$ ... $y= a \sin \dfrac{n \pi x}{L} \\$ $y= a \cos \dfrac{n \pi x}{L}$
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Jul 28
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by
jothee
(
2.7k
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gate2014ce1
engineeringmechanics
structuralengineering
equilibrium
0
votes
0
answers
36
GATE2014120
The dimension for kinematic viscosity is $\dfrac{L}{MT} \\$ $\dfrac{L}{T^2} \\$ $\dfrac{L^2}{T} \\$ $\dfrac{ML}{T}$
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Jul 28
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by
jothee
(
2.7k
points)
gate2014ce1
engineeringmechanics
structuralengineering
kinematicviscosity
0
votes
0
answers
37
GATE2014113
The degree of disturbance of the sample collected by the sampler is expressed by a term called the “area ratio”. If the outer diameter and inner diameter of the sampler are $D_o$ and $D_i$ respectively, the area ratio is given by $\dfrac{D_o^2D_i^2}{D_i^2} \\$ $\dfrac{D_i^2D_o^2}{D_i^2} \\$ $\dfrac{D_o^2D_i^2}{D_o^2} \\$ $\dfrac{D_i^2D_0^2}{D_o^2}$
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Jul 28
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jothee
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2.7k
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gate2014ce1
arearatio
0
votes
0
answers
38
GATE2014112
In a beam of length $L$, four possible influence line diagram for shear force at a section located at a distance of $\dfrac{L}{4}$ from the left end support (marked as $P, Q, R,$ and $S$) are shown below. The correct influence line diagram is $P$ $Q$ $R$ $S$
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Jul 28
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by
jothee
(
2.7k
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gate2014ce1
structuralengineering
0
votes
0
answers
39
GATE201418
The ultimate collapse load $(P)$ in terms of plastic moment $M_p$ by kinematic approach for a propped cantilever of length $L$ with $P$ acting at its midspan as shown in the figure, would be $P=\dfrac{2M_p}{L} \\$ $P=\dfrac{4M_p}{L} \\$ $P=\dfrac{6M_p}{L}\\$ $P=\dfrac{8M_p}{L}$
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Jul 28
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by
jothee
(
2.7k
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gate2014ce1
engineeringmechanics
structuralengineering
kinematicapproach
0
votes
0
answers
40
GATE201417
The possible location of shear centre of the channel section, shown below, is $P$ $Q$ $R$ $S$
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Jul 28
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by
jothee
(
2.7k
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gate2014ce1
shearcenterchannelsection
waterresourcesengineering
structuralengineering
0
votes
0
answers
41
GATE201415
With reference to the conventional Cartesian $(x,y)$ coordinate system, the vertices of a triangle have the following coordinates: $(x_1, y_1) = (1,0)$; $(x_2,y_2) = (2,2)$; and $(x_3,y_3)=(4,3)$. The area of the triangle is equal to $\dfrac{3}{2} \\$ $\dfrac{3}{4} \\$ $\dfrac{4}{5} \\$ $\dfrac{5}{2}$
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Jul 28
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by
jothee
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2.7k
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gate2014ce1
hydraulics
waterresourcesengineering
triangles
0
votes
0
answers
42
GATE201413
The probability density function of evaporation $E$ on any day during a year in a watershed is given by $f(E) = \begin{cases} \dfrac{1}{5} & 0 \leq E \leq 5\: \text{mm/day} \\ 0 & \text{otherwise} \end{cases}$ The probability that $E$ lies in between $2$ and $4$ mm/day in a day in the watershed is (in decimal) ____________
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Jul 28
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jothee
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2.7k
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gate2014ce1
numericalanswers
probabilityandstatistics
engineeringmathematics
hydrology
watershed
evaporation
0
votes
0
answers
43
GATE20152GA4
Mr. Vivek walks $6$ meters Northeast, then turns and walks $6$ meters Southeast, both at $60$ degrees to east. He further moves $2$ meters South and $4$ meters West. What is the straight distance in meters between the point he started from and the point he finally reached? $2\sqrt{2}$ $2$ $\sqrt{2}$ $\dfrac{1}{\sqrt{2}}$
edited
Jul 27
in
Numerical Ability
by
jothee
(
2.7k
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gate2015ce2
0
votes
0
answers
44
GATE20152GA5
Four cards are randomly selected from a pack of $52$ cards. If the first two cards are kings, what is the probability that the third card is a king? $\dfrac{4}{52} \\$ $\dfrac{2}{50} \\$ $\left ( \dfrac{1}{52}\right )\times\left ( \dfrac{1}{52}\right ) \\$ $\left ( \dfrac{1}{52}\right )\times\left ( \dfrac{1}{51}\right )\times\left ( \dfrac{1}{50}\right )$
edited
Jul 27
in
Numerical Ability
by
jothee
(
2.7k
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gate2015ce2
0
votes
0
answers
45
GATE2015244
The velocity components of a two dimensional plane motion of a fluid are $:u=\dfrac{y^3}{3}+2x—x^2y$ and $v=xy^22y\dfrac{x^3}{3}$. The correct statement is: Fluid is incompressible and flow is irrotational Fluid is incompressible and flow is rotational Fluid is compressible and flow is irrotational Fluid is compressible and flow is rotational
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Jul 27
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by
jothee
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2.7k
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gate2015ce2
waterresourcesengineering
0
votes
0
answers
46
GATE2015230
In a system, two connected rigid bars $AC$ and $BC$ are identical length, $L$ with pin supports at $A$ and $B$. The bars are interconnected at $C$ by a frictionless hinge. The rotation of the hinge is restrained by a rotational spring of stiffness, $k$. The system initially assumes a straight ... at $C$ is: $\dfrac{PL}{4k} \\$ $\dfrac{PL}{2k} \\$ $\dfrac{P}{4k} \\$ $\dfrac{Pk}{4L}$
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Jul 27
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jothee
(
2.7k
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gate2015ce2
engineeringmechanics
structuralengineering
stiffness
rigidbody
0
votes
0
answers
47
GATE2015226
The probability density function of a random variable, $x$ is $f(x)= \begin{cases} \dfrac{x}{4} ( 4x^2) & \text{ for } 0 \leq x \leq 2 \\ 0 & \text{ otherwise} \end{cases}$ The mean $\mu _x$ of the random variable is ______.
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Jul 27
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by
jothee
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2.7k
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gate2015ce2
numericalanswers
probabilityandstatistics
engineeringmathematics
probabilitydensityfunction
0
votes
0
answers
48
GATE2015220
A groundwater sample was found to contain $500$ mg/L total dissolved solids (TDS). TDS (in $\%$) present in the sample is ________.
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Jul 27
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by
jothee
(
2.7k
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gate2015ce2
numericalanswers
hydrology
waterresourcesengineering
groundwater
0
votes
0
answers
49
GATE2015216
The relationship between the length scale ratio $(L_r)$ and the velocity scale ratio $(V_r)$ in the hydraulic models, in which Froude dynamic similarity is maintained is: $V_r=L_r \\$ $L_r=\sqrt{V_r} \\$ $V_r= L_r^{1.5} \\$ $V_r=\sqrt{L_r}$
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Jul 27
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GATE201524
$\underset{x \to \infty}{\lim} \bigg( 1+ \dfrac{1}{x} \bigg)^{2x} $ is equal to $e^{2}$ $e$ $1$ $e^2$
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Calculus
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gate2015ce2
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