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GATE2020 CE218
A fair (unbiased) coin is tossed $15$ times. The probability of getting exactly $8$ Heads (round off to three decimal places), is _______.
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numericalanswers
probabilityandstatistics
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probability
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2
GATE2020 CE219
The maximum applied load on a cylindrical concrete specimen of diameter $150\: mm$ and length $300\: mm$ tested as per the split tensile strength test guidelines of $IS\:5816:1999$ is $157\: kN$. The split tensile strength (in $MPa,$ round off to one decimal place) of the specimen is _______.
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concretestructures
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GATE2020 CE220
For an axle load of $15$ tonne on a road, the Vehicle Damage Factor (round off to two decimal places), in terms of the standard axle load of $8$ tonne, is __________.
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numericalanswers
axleload
trafficengineering
transportationengineering
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4
GATE2020 CE221
$24$$h$ traffic count at a road section was observed to be $1000$ vehicles on a Tuesday in the month of July. If daily adjustment factor for Tuesday is $1.21$ and monthly adjustment factor for July is $0.913$, the Annual Average Daily Traffic (in veh/day, round off to the nearest integer) is __________.
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numericalanswers
trafficengineering
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5
GATE2020 CE222
A soil has dry unit weight of $15.5\: kN/m^3$, specific gravity of $2.65$ and degree of saturation of $72\: %.$ Considering the unit weight of water as $10\: kN/m^3$, the water content of the soil (in $\%$ round off to two decimal places) is __________.
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numericalanswers
soilmechanics
geotechnicalengineering
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6
GATE2020 CE223
A onedimensional consolidation test is carried out on a standard $19\: mm$ thick clay sample. The oedometer’s deflection gauge indicates a reading of $2.1\: mm$, just before removal of the load, without allowing any swelling. The void ratio is $0.62$ at this stage. The initial void ratio (round off to two decimal places) of the standard specimen is __________.
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numericalanswers
soilmechanics
geotechnicalengineering
onedimensionalconsolidation
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7
GATE2020 CE224
Velocity distribution in a boundary layer is given by $\dfrac{u}{U_\infty} = \sin\large \left( \dfrac{\pi}{2}\dfrac{y}{\delta} \right)$, where $u$ is the velocity at vertical coordinate $y,\: U_\infty$ is the free stream velocity and $\delta$ is the boundary layer ... $\ s^{1}$, round off to two decimal places) at $y = 0$, is ________.
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numericalanswers
calculus
engineeringmathematics
gradient
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8
GATE2020 CE225
Two identically sized primary settling tanks receive water for $\text{TypeI}$ settling (discrete particles in dilute suspension) under laminar flow conditions. The Surface Overflow Rate (SOR) maintained in the two tanks are $30\ m^3/m^2.d$ and $15\: m^3/m^2.d$. ... $d_{15}$ respectively. The ratio, $\large \dfrac{d_{30}}{d_{15}}$ (round off to two decimal places), is ________.
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numericalanswers
geotechnicalengineering
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GATE2020 CE239
The Fourier series to represent $x x^2$ for $\pi\leq x\leq \pi$ is given by $ xx^2 = \dfrac{a_0}{2} + \sum_{n=1}^{\infty} a_n\ \cos nx + \sum_{n=1}^{\infty} b_n\ \sin nx$ The value of $a_0$(round off to two decimal places), is ________.
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gate2020ce2
numericalanswers
partialdifferentialequation
engineeringmathematics
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10
GATE2020 CE240
The diameter and height of a right circular cylinder are $3\: cm$ and $4\: cm$, respectively. The absolute error in each of these two measurements is $0.2\: cm$. The absolute error in the computed volume ( in $cm^3$ ,round off to three decimal places), is ________
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gate2020ce2
numericalanswers
engineeringmathematics
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11
GATE2020 CE241
A concrete beam of span $15\: m,\ 150\: mm$ wide and $350\: mm$ ... cable is tensioned from one end only, the percentage loss (round off to one decimal place) in the cable force due to friction, is ________.
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gate2020ce2
numericalanswers
concretestructures
structuralengineering
concretebeams
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12
GATE2020 CE242
The plane truss has hinge supports at $P$ and $W$ and is subjected to the horizontal forces as shown in the figure (not drawn to the scale) Representing the tensile force with $’+’$ sign and the compressive force with $’’$ sign, the force in member $XW$ (in $kN$, round off to the nearest integer), is ________.
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gate2020ce2
numericalanswers
structuralanalysis
structuralengineering
trusses
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13
GATE2020 CE243
The crosssection of the reinforced concrete beam having an effective depth of $500\: mm$ is shown in the figure (not drawn to the scale ). The grades of concrete and steel used are $M35$ and $Fe550$, respectively. The area of tension reinforcement is ... ( in $mm,$ round off to the nearest integer ) of the neutral axis measured from the extreme compression fiber, is ________.
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gate2020ce2
numericalanswers
analysisofbeamsections
concretestructures
structuralengineering
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14
GATE2020 CE244
Two steel plates are lap jointed in a workshop using $6\ mm$ thick fillet weld as shown in the figure (not drawn to the scale). The ultimate strength of the weld is $410\: MPa.$ As per Limit State Design of $IS\: 800:2007$, the design capacity (in $kN$, round off to three decimal places) of the welded connection, is ________.
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gate2020ce2
numericalanswers
steelstructures
structuralengineering
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15
GATE2020 CE245
The design speed of a twolane twoway road is $60\: km/h$ and the longitudinal coefficient of friction is $0.36$. The reaction time of a driver is $2.5$ seconds. Consider acceleration due to gravity as $9.8 m/s^2$. The intermediate sight distance (in $m,$ round off to the nearest integer) required for the road is ________.
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gate2020ce2
numericalanswers
trafficengineering
transportationengineering
urbanroads
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16
GATE2020 CE246
A footing of size $2\: m \times 2\: m$ transferring a pressure of $200\: kN/m^2$, is place at a depth of $1.5\: m$ below the ground as shown in the figure (not drawn to the scale ). The clay stratum is normally consolidated. The clay has ... $\gamma_w= 10\: kN/m^3$, the primary consolidation settlement in (in mm, round off to two decimal places) of the clay stratum is ________.
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gate2020ce2
numericalanswers
foundationengineering
geotechnicalengineering
settlementanalysisinclays
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0
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17
GATE2020 CE247
A constanthead permeability test was conducted on a soil specimen under a hydraulic gradient of $2.5$. The soil specimen has specific gravity of $2.65$ and saturated water content of $20\%.$ If the coefficient of permeability of the soil is $0.1\: cm/s$, the seepage velocity (in $cm/s,$ round off to two decimal places) through the soil specimen is ________.
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gate2020ce2
numericalanswers
soilmechanics
geotechnicalengineering
coefficientofpermeability
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18
GATE2020 CE248
A $5\: m$ high vertical wall has a saturated clay backfill. The saturated unit weight and cohesion of clay are $18\: kN/m^3$ and $20\: kPa$, respectively. The angle of internal friction of clay is zero. In order to prevent development of tension zone, the ... tension zone, the minimum height (in $m$, round off to one decimal place) by which the wall has to be raised, is ________.
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gate2020ce2
numericalanswers
soilmechanics
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19
GATE2020 CE249
A cast iron pipe of diameter $600\: mm$ and length $400\: m$ carries water from a tank and discharges freely into air at a point $4.5\: m$ below the water surface in the tank. The friction factor of the pipe is $0.018$. Consider acceleration due to gravity as $9.81\: m/s^2$. The velocity of the flow in pipe (in $m/s$, round off to two decimal places) is ________.
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gate2020ce2
numericalanswers
waterresourcesengineering
fluidmechanics
flowinpipes
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0
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20
GATE2020 CE250
A hydraulic jump occurs in a triangular $\text{(Vshaped)}$ channel with side slopes $1:1$ (vertical to horizontal). The sequent depths are $0.5\: m$ and $1.5\: m$. The flow rate (in $m^3/s$, round off to two decimal places) in the channel is ________.
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gate2020ce2
numericalanswers
waterresourcesengineering
hydraulics
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0
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21
GATE2020 CE251
A concrete dam holds $10\: m$ of static water as shown in the figure (not drawn to the scale). The uplift is assumed to vary linearly from full hydrostatic head at the heel, to zero at the toe of the dam. The coefficient of friction between the dam ... , respectively. For NO sliding condition, the required minimum base width $B$ (in $m$ round off to two decimal places) is ________.
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gate2020ce2
numericalanswers
concretestructures
structuralengineering
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22
GATE2020 CE252
The ion product of water $(pK_w)$ is $14$. If a rain water sample has a $pH$ of $5.6$, the concentration of $OH^$ in the sample (in $10^{9}\: \text{mol/litre}$, round off to one decimal place), is ________.
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gate2020ce2
numericalanswers
waterresourcesengineering
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23
GATE2020 CE253
A waste to energy plant burns dry solid waste of composition: Carbon $= 35\%$, Oxygen $= 26\%$ , Hydrogen $= 10\%$, Sulphur $= 6\%$, Nitrogen $= 3\%$ and Inerts $= 20\%.$ Burning rate is $1000\: $ tonnes/d. Oxygen in air ... The stoichiometric (theoretical) amount of air ( in tonnes/d, round off to the nearest integer) required for complete burning of this waste is ________.
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gate2020ce2
numericalanswers
municipalsolidwaste
solidwaste
environmentalengineering
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0
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24
GATE2020 CE254
A sample of water contains an organic compound $C_8H_{16}O_8$ at a concentration of $10^{3}\: \text{mol/litre}$. Given that the atomic weight of $C = 12\: \text{g/mol}, H = 1\: \text{g/mol}$, and $O = 16\: \text{g/mol}$, the theoretical oxygen demand of water (in $g$ of $O_2$ per litre, round off to two decimal places), is ________.
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gate2020ce2
numericalanswers
environmentalengineering
waterandwastewater
+1
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25
GATE2020 CE255
A theodolite is set up at station $A$. The $RL$ of instrument axis is $212.250\: m$. The angle of elevation to the top of a $4\: m$ long staff, held vertical at station $B$, is $7^{\circ}$.The horizontal distance between stations $A$ and $B$ ... the errors due to curvature of earth and refraction, the $RL$ (in $m,$ round off to three decimal places) of station $B$ is ________.
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gate2020ce2
numericalanswers
geomaticsengineering
horizontalandverticalcurves
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26
GATE2017 CE218
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 ________
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gate2017ce2
numericalanswers
constructionmaterialsandmanagement
structuralengineering
constructionproject
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answers
27
GATE2017 CE219
The divergence of the vector field $V=x^2 i + 2y^3 j + z^4 k$ at $x=1, \: y=2, \: z=3$ is ________
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vectorcalculus
divergence
numericalanswers
calculus
engineeringmathematics
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28
GATE2017 CE220
A twofaced 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 ________
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numericalanswers
engineeringmathematics
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0
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29
GATE2017 CE221
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 _________
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foundationengineering
geotechnicalengineering
typesofpiles
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30
GATE2017 CE222
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 _______
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numericalanswers
geomaticsengineering
verticalcurve
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31
GATE2017 CE223
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 ________
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32
GATE2017 CE224
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 ________
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numericalanswers
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0
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33
GATE2017 CE225
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 _________
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numericalanswers
geomaticsengineering
horizontalcurve
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34
GATE2017 CE238
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 ________
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35
GATE2017 CE239
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 kNm) that the shaft can resist is _______
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numericalanswers
solidmechanics
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shearstress
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36
GATE2017 CE240
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 midspan to balance the external load should be __________
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numericalanswers
concretestructures
structuralengineering
ultimateloaddesignconcepts
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0
answers
37
GATE2017 CE241
Two plates od $8$ mm thickness each are connected by a fillet weld of $6$ mm thickness as shown in the figure. The permissible stresses in the plate and the weld are $150$ MPa and $110$ MPa, respectively. Assuming the length of the weld shown in the figure to be the effective length, the permissible load $P$ (in kN) is ______
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numericalanswers
foundationengineering
geotechnicalengineering
plateloadtest
0
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0
answers
38
GATE2017 CE244
Consider a square shaped area ABCD on the ground with its centre at M as shown in the figure. Four concentrated vertical loads of $P=5000$ kN are applied on this area, one at each corner. The vertical stress increment (in kPa, up to one decimal place) due to these loads according to the Boussinesq’s equation, at a point $5$ m right below M, is _______
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numericalanswers
boussinesq'stheory
foundationengineering
geotechnicalengineering
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0
answers
39
GATE2017 CE245
The figure shows a Utube having a $5 \: mm \times 5 mm$ square crosssection filled with mercury (specific gravity $13.6$) up to a height of $20 $ cm in each limb (open to atmosphere) If $5 \: cm^3$ of water is added to the right limb, the new height (in cm, up to two decimal places) of mercury in the LEFT limb will be ________
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gate2017ce2
numericalanswers
transportationinfrastructure
transportationengineering
crosssectionalelements
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0
answers
40
GATE2017 CE246
A $1$ m wide rectangular channel carries a discharge of $2 \: m^3 /s$. The specific energydepth diagram is prepared for the channel. It is observed in this diagram that corresponding to a particular specific energy, the subcritical depth is twice the supercritical depth. The subcritical depth (in meters, up to two decimal places) is equal to ________
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numericalanswers
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channelhydraulicsenergydepthrelationships
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