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Recent questions tagged gate2017-ce-1
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1
GATE2017 CE-1: 1
The matrix $P$ is the inverse of a matrix $Q$. If $I$ denotes the identity matrix, which one of the following options is correct? $PQ=I$ but $QP \neq I$ $QP=I$ but $PQ \neq I$ $PQ=I$ and $QP= I$ $PQ-QP= I$
Milicevic3306
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in
Linear Algebra
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
linear-algebra
matrices
inverse-of-matrix
0
votes
0
answers
2
GATE2017 CE-1: 2
The number of parameters in the univariate exponential and Gaussian distributions, repsectively, are $2$ and $2$ $1$ and $2$ $2$ and $1$ $1$ and $1$
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in
Probability and Statistics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
probability-and-statistics
probability
gaussian-distributions
0
votes
0
answers
3
GATE2017 CE-1: 3
Let $x$ be a continuous variable defined over the interval $(- \infty, \infty)$, and $f(x) = e^{-x-e^{-x}}$. The integral $g(x)= \int f(x) \: dx$ is equal to $e^{e^{-x}}$ $e^{-e^{-x}}$ $e^{-e^{x}}$ $e^{-x}$
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in
Calculus
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
calculus
integrals
continuous-variable
0
votes
0
answers
4
GATE2017 CE-1: 4
An elastic bar of length $L$, uniform cross sectional area $A$, coefficient of thermal expansion $\alpha$, and Young's modulus $E$ is fixed at the two ends. The temperature of the bar is increased by $T$, resulting in an axial stress $\sigma$. Keeping all other parameters unchanged ... , the axial stress would be $\sigma$ $2 \: \sigma$ $0.5 \: \sigma$ $0.25 \: \alpha \: \sigma$
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in
Engineering Mechanics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
structural-engineering
axial-stress
engineering-mechanics
0
votes
0
answers
5
GATE2017 CE-1: 5
A simply supported beam is subjected to a uniformly distributed load. Which one of the following statements is true? Maximum or minimum shear force occurs where the curvature is zero Maximum or minimum bending moment occurs where the shear force is ... minimum bending moment occurs where the curvature is zero Maximum bending moment and maximum shear force occur at the same section
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in
Solid Mechanics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
structural-engineering
beams
solid-mechanics
simple-stress-and-strain-relationship
0
votes
0
answers
6
GATE2017 CE-1: 6
According to $IS \: 456 - 2000$, which one of the following statements about the depth of neutral axis $x_{\text{u, bal}}$ for a balanced reinforced concrete section is correct? $x_{\text{u, bal}}$ ... both the grade of concrete and grade of steel $x_{\text{u, bal}}$ does not depend on the grade of concrete and grade of steel
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in
Concrete Structures
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
concrete-structures
structural-engineering
concrete-sections
0
votes
0
answers
7
GATE2017 CE-1: 7
The figure shows a two-hinged parabolic arch of span $L$ subjected to a uniformly distributed load of intensity $q$ per unit length. The maximum bending moment in the arch is equal to $\dfrac{qL^2}{8} \\$ $\dfrac{qL^2}{12} \\$ zero $\dfrac{qL^2}{10}$
Milicevic3306
asked
in
Structural Analysis
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
solid-mechanics
structural-engineering
analysis-of-arches
0
votes
0
answers
8
GATE2017 CE-1: 8
Group I lists the type of gain or loss of strength in soils. Group II lists the property or process responsible for the loss or gain of strength in soils. ... $P-3, \: Q-2; \: R-1, \: S-4$ $P-4, \: Q-2; \: R-1, \: S-3$
Milicevic3306
asked
in
Soil Mechanics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
soil-mechanics
geotechnical-engineering
strength-in-soils
0
votes
0
answers
9
GATE2017 CE-1: 9
A soil sample is subjected to a hydrostatic pressure, $\sigma$. The Mohr circle for any point in the soil sample would be a circle of radius $\sigma$ and center at the origin a circle of radius $\sigma$ and center at a distance $\sigma$ from the origin a point at a distance $\sigma$ from the origin a circle of diameter $\sigma$ and center at the origin
Milicevic3306
asked
in
Soil Mechanics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
soil-mechanics
geotechnical-engineering
mohr-circle
0
votes
0
answers
10
GATE2017 CE-1: 10
A strip footing is resting on the ground surface of a pure clay bed having an undrained cohesion $c_u$. The ultimate bearing capacity of the footing is equal to $2 \pi \: c_u$ $\pi \: c_u$ $( \pi +1) \: c_u$ $(\pi + 2) \: c_u$
Milicevic3306
asked
in
Foundation Engineering
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
foundation-engineering
geotechnical-engineering
bearing-capacity
0
votes
0
answers
11
GATE2017 CE-1: 11
A uniformly distributed line road of $500 \: kN/m$ is acting on the ground surface. Based on Boussinesq’s theory, the ratio of vertical stress at a depth $2$ m to that at $4$ m, right below the line of loading, is $0.25$ $0.5$ $2.0$ $4.0$
Milicevic3306
asked
in
Foundation Engineering
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
foundation-engineering
geotechnical-engineering
boussinesq's-theory
0
votes
0
answers
12
GATE2017 CE-1: 12
For a steady incompressible laminar flow between two infinite parallel stationary plates, the shear stress variation is linear with zero value at the plates linear with zero value at the center quadratic with zero value at the plates quadratic with zero value at the center
Milicevic3306
asked
in
Fluid Mechanics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
fluid-mechanics
water-resources-engineering
laminar-flow
shear-stress
0
votes
0
answers
13
GATE2017 CE-1: 13
The reaction rate involving reactants $A$ and $B$ is given by $-k[A]^{\alpha} [B]^{\beta}$. Which one of the following statements is valid for the reaction to be first-order reaction? $\alpha=0$ and $\beta=0$ $\alpha=1$ and $\beta=0$ $\alpha=1$ and $\beta=1$ $\alpha=1$ and $\beta=2$
Milicevic3306
asked
in
Fluid Mechanics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
water-resources-engineering
first-order-reaction
fluid-mechanics
0
votes
0
answers
14
GATE2017 CE-1: 14
The wastewater from a city, containing a high concentration of biodegradable organics, is being steadily discharged into a flowing river at a location S. If the rate of aeration of the river water is lower than the rate of degradation of the organics, then the ... the location S. remains constant all along the length of the river. is lowest at a point downstream of the location S.
Milicevic3306
asked
in
Water and Waste Water Quality and Treatment
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
environmental-engineering
water-and-waste-water-quality-and-treatment
biodegradation
0
votes
0
answers
15
GATE2017 CE-1: 15
Which one of the following is NOT present in the acid rain? $HNO_3$ $H_2SO_4$ $H_2CO_3$ $CH_3COOH$
Milicevic3306
asked
in
Hydraulics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
acid-rain
water-resources-engineering
hydraulics
0
votes
0
answers
16
GATE2017 CE-1: 16
A super-elevation $e$ is provided on a circular horizontal curve such that a vehicle can be stopped on the curve without sliding. Assuming a design speed $v$ and maximum coefficient of side friction $f_{max}$, which one of the following criteria should be satisfied? $e \leq f_{max}$ $e > f_{max}$ no limit on $e$ can be set $e = \dfrac{1-(f_{max})^2}{f_{max}}$
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in
Transportation Infrastructure
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
transportation-engineering
transportation-infrastructure
geometric-design-of-highways
0
votes
0
answers
17
GATE2017 CE-1: 17
A runway is being constructed in a new airport as per the International Civil Aviation Organization (ICAO) recommendations. The elevation and the airport reference temperature of this airport are $535 \: m$ above the mean sea level and $22.65^{\circ}C$, respectively. Consider the ... length of runway corrected for the temperature is $2223 \: m$ $2250 \: m$ $2500 \: m$ $2750 \: m$
Milicevic3306
asked
in
Transportation Infrastructure
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
transportation-infrastructure
transportation-engineering
airport-runway-length
0
votes
0
answers
18
GATE2017 CE-1: 18
The accuracy of an Electronic Distance Measuring Instrument (EDMI) is specified as $\pm (a \: mm + b \: ppm)$. Which one of the following statements is correct? Both $a$ and $b$ remain constant, irrespective of the distance being measured $a$ ... proportion to the distance being measured and $b$ remains constant Both $a$ and $b$ vary in proportion to the distance being measured
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asked
in
Transportation Infrastructure
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
transportation-infrastructure
transportation-engineering
electronic-distance-measuring-instrument(edmi)
0
votes
0
answers
19
GATE2017 CE-1: 19
The number of spectral bands in the Enhanced Thematic Mapper sensor on the remote sensing satellite Landsat-$7$ is: $64$ $10$ $8$ $15$
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asked
in
Geomatics Engineering
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
geomatics-engineering
photogrammetry
remote-sensing
0
votes
0
answers
20
GATE2017 CE-1: 20
Consider the following partial differential equation: $3 \frac{\partial ^2 \phi}{ \partial x^2} + B \frac{ \partial ^2 \phi}{\partial x \partial y} + 3 \frac{\partial ^2 \phi}{\partial y^2} + 4 \phi =0$ For this equation to be classified as parabolic, the value of $B^2$ must be ________
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in
Partial Differential Equation (PDE)
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
numerical-answers
partial-differential-equation
0
votes
0
answers
21
GATE2017 CE-1: 21
$\underset{x \to 0}{\lim} \bigg( \dfrac{\tan x}{x^2-x} \bigg)$ is equal to _________
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in
Calculus
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
numerical-answers
calculus
limits
0
votes
0
answers
22
GATE2017 CE-1: 22
A $3 \: m$ thick clay layer is subjected to an initial uniform pore pressure of $145 \: kPa$ as shown in the figure. For the given ground conditions, the time (in days, rounded to the nearest integer) required for $90 \%$ consolidation would be ________
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in
Geotechnical Engineering
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
numerical-answers
geotechnical-engineering
soil-mechanics
characteristics-of-clay
0
votes
0
answers
23
GATE2017 CE-1: 23
A triangular pipe network is shown in the figure. The head loss in each pipe is given by $h_f = rQ^{1.8}$, with the variables expressed in a consistent set of units. The value of $r$ for the pipe $AB$ is $1$ and for the pipe $BC$ is $2$. If the ... is equally divided between the pipes $AB$ and $AC$, the value of $r$ (up to two decimal places) for the pipe $AC$ should be _______
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in
Fluid Mechanics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
numerical-answers
fluid-mechanics
water-resources-engineering
flow-in-pipes
0
votes
0
answers
24
GATE2017 CE-1: 24
The ordinates of a $2$-hour unit hydrograph for a catchment are given as $\begin{array}{llllll} \text{Time (h)} & 0 & 1 & 2 & 3 & 4 \\ \text{Ordinate } (m^3/s) & 0 & 5 & 12 & 25 & 41 \end{array}$ The ordinate (in $m^3/s$) of a $4$-hour unit hydrograph for this catchment at the time of $3$ h would be _________
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in
Hydrology
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
numerical-answers
hydrology
water-resources-engineering
hydrographs
0
votes
0
answers
25
GATE2017 CE-1: 25
Vehicles arriving at an intersection from one of the approach roads follow the Poisson distribution. The mean rate of arrival is $900$ vehicles per hour. If a gap is defined as the time difference between two successive vehicle arrivals (with vehicles assumed to be points), the probability (up to four decimal places) that the gap is greater than $8$ seconds is ___________
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in
Traffic Engineering
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
numerical-answers
traffic-engineering
transportation-engineering
poisson-distribution
0
votes
0
answers
26
GATE2017 CE-1: 26
For the function $f(x)=a+bx,0\leq x\leq1,$ to be a valid probability density function,which one of the following statements is correct? $a=1,b=4$ $b=0.5,b=1$ $a=0,b=1$ $a=1,b=-1$
Milicevic3306
asked
in
Probability and Statistics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
probability-and-statistics
probability
probability-density-function
0
votes
0
answers
27
GATE2017 CE-1: 27
The solution of the equation $\dfrac{dQ}{dt} +Q =1$ with $Q=0$ at $t=0$ is $Q(t)=e^{-t}-1$ $Q(t)=1+ e^{-t}$ $Q(t)=1 -e^t$ $Q(t)=1- e^{-t}$
Milicevic3306
asked
in
Ordinary Differential Equation (ODE)
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
ordinary-differential-equation
0
votes
0
answers
28
GATE2017 CE-1: 28
Consider the matrix $\begin{bmatrix} 5 & -1 \\ 4 & 1 \end{bmatrix}$. Which one of the following statements is TRUE for the eigenvalues and eigenvectors of this matrix? Eigenvalue $3$ has a multiplicity of $2$, and only one independent ... has a multiplicity of $2$, and no independent eigenvector exists. Eigenvalues are $3$ and $-3$, and two independent eigenvectors exist.
Milicevic3306
asked
in
Linear Algebra
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
linear-algebra
matrices
eigen-values
eigen-vectors
0
votes
0
answers
29
GATE2017 CE-1: 29
A planar truss tower structure is shown in the figure. Consider the following statements about the external and internal determinacies of the truss. Externally Determinate External Static Indeterminacy $=1$ External Static Indeterminacy $=2$ Internally Determinate Internal Static Indeterminacy $=1$ ... S-False; T-False; U- True P-True; Q- True; R-False; S-True; T-False; U- True
Milicevic3306
asked
in
Structural Analysis
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
structural-analysis
structural-engineering
analysis-of-trusses
0
votes
0
answers
30
GATE2017 CE-1: 30
Group I contains three broad classes of irrigation supply canal outlets, Group II presents hydraulic performance attributes. ... $P - 2; \: Q - 3; \: R - 1$ $P - 1; \: Q - 3; \: R - 2$
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asked
in
Irrigation
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
irrigation
water-resources-engineering
lined-and-unlined-canals
0
votes
0
answers
31
GATE2017 CE-1: 31
A $1$ m wide rectangular channel has a bed slope of $0.0016$ and the Manning’s roughness coefficient is $0.04$ Uniform flow takes the place in the channel at a flow depth of $0.5$m. At a particular section, gradually varied flow (GVF) is observed and the flow depth is measured as $0.6$ m. The GVF profile at section is classified as $S_1$ $S_2$ $M_1$ $M_2$
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in
Hydraulics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
water-resources-engineering
mannings-coefficient
hydraulics
gradually-varied-flow
flow-measurement-in-channels
0
votes
0
answers
32
GATE2017 CE-1: 32
The following observations are made while testing aggregate for its suitability in pavement construction: Mass of oven-dry aggregate in air $=1000 $ g Mass of saturated surface-dry aggregate in air $=1025 $ g Mass of saturated surface-dry aggregate under water $=625 $ g ... and water absorption $=2.5 \%$ apparent specific gravity of aggregate $=2.5$ and water absorption $=2.4 \%$
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asked
in
Highway Pavements
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
highway-pavements
transportation-engineering
0
votes
0
answers
33
GATE2017 CE-1: 33
The queue length (in number of vehicles) versus time (in seconds) plot for an approach to a signalized intersection with the cycle length of $96$ seconds is shown in the figure (not drawn to scale) At time $t=0$, the light has just turned red. The ... delay per vehicle $=45$ seconds $s=1200$ vph, and for this cycle, the average stopped delay per vehicle $=28.125$ seconds
Milicevic3306
asked
in
Traffic Engineering
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
traffic-engineering
transportation-engineering
travel-time-delay
statical-analysis-of-traffic-data
0
votes
0
answers
34
GATE2017 CE-1: 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 ... $\dfrac{1}{11.6} \text{ and } 0.24 \\$ $\dfrac{1}{12.9} \text{ and } 0.24$
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asked
in
Traffic Engineering
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
traffic-engineering
transportation-engineering
traffic-studios-on-flow-and-speed
0
votes
0
answers
35
GATE2017 CE-1: 35
The observed bearings of a traverse are given below: ... $R$ Only $S$ $R$ and $S$ $P$ and $Q$
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asked
in
Geomatics Engineering
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
geomatics-engineering
traversing
0
votes
0
answers
36
GATE2017 CE-1: 36
The laboratory tests on a soil sample yields the following results: natural moisture content $=18 \%$, liquid limit $=60 \%$, plastic limit $=25 \%$, percentage of clay sized fraction $=25\%$. The liquidity index and activity (as per the expression proposed by Skempton) of the soil, respectively, are $-0.2$ and $1.4$ $0.2$ and $1.4$ $-1.2$ and $0.714$ $1.2$ and $0.714$
Milicevic3306
asked
in
Soil Mechanics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
soil-mechanics
geotechnical-engineering
liquidity-index
0
votes
0
answers
37
GATE2017 CE-1: 37
Consider the equation $\dfrac{du}{dt}=3t^2+1$ with $u=0$ at $t=0$. This is numerically solved by using the forward Euler method with a step size, $\Delta t=2$. The absolute error in the solution at the end of the first time step is _______.
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asked
in
Ordinary Differential Equation (ODE)
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
numerical-answers
ordinary-differential-equation
euler-equations
0
votes
0
answers
38
GATE2017 CE-1: 40
The value of $M$ in the beam ABC shown in the figure is such that the joint B does not rotate. The value of support reaction (in kN) at B should be equal to _________.
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asked
in
Structural Analysis
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
numerical-answers
structural-engineering
structural-analysis
analysis-of-beams
0
votes
0
answers
39
GATE2017 CE-1: 42
Consider two axially loaded columns, namely, $1$ and $2$, made of a linear elastic material with Young's modulus $2 \times 10^5$ MPa, square cross-section with side $10$ mm, and length $1$ m. For column $1$, one end is fixed and the other end is free ... 's theory, the ratio (up to one decimal place) of the buckling load of Column $2$ to the buckling load of Column $1$ is ________
Milicevic3306
asked
in
Engineering Mechanics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
numerical-answers
engineering-mechanics
structural-engineering
euler's-equation
0
votes
0
answers
40
GATE2017 CE-1: 43
A column is subjected to a load through a bracket as shown in the figure. The resultant force (in kN, up to one decimal place) in the bolt $1$ is _______
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asked
in
Steel Structures
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
numerical-answers
structural-engineering
resultant-force
steel-structures
bracket-connection
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