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GATE2018 CE1: 55
An aircraft approaches the threshold of a runway strip at a speed of $200$ km/h. The pilot decelerates the aircraft at a rate of $1.697 \: m/s^2$ and takes $18 \: s$ to exit the runway strip. If the deceleration after exciting the runway is $1 \: m/s^2$, then the distance (in m, up to one decimal place) of the gate position from the location of exit on the runway is _______
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gate2018ce1
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GATE2018 CE1: 54
Given the following data: design life $n=15$ years, lane distribution factor $D=0.75$, annual rate of growth of commercial vehicles $r=6 \%$, vehicle damage factor $F=4$ and initial traffic in the year of completion of construction $= 3000$ ... , the design traffic in terms of cumulative number of standard axles (in million standard axles, up to two decimal places) is _____
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100
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gate2018ce1
trafficengineering
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3
GATE2018 CE1: 52
The ultimate BOD $(L_0)$ of a wastewater sample is estimated as $87 \%$ of COD. The COD of this wastewater is $300$ mg/L. Considering first order BOD reaction rate constant $k$ (use natural log) $= 0.23$ ... value in (in mg/L, up to one decimal place) after three days of incubation at $27^{\circ}$C for this wastewater will be _____
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100
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gate2018ce1
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4
GATE2018 CE1: 49
The infiltration rate $f$ in a basin under ponding condition is given by $f = 30+10e^{2t}$ where, $f$ is in mm/h and $t$ is time in hour. Total depth of infiltration (in mm, up to one decimal place) during the last $20$ minutes of a storm of $30$ minutes duration is ______
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100
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gate2018ce1
–1
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1
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5
GATE2018 CE1: 47
A rigid smooth retaining wall of height $7$ m with vertical backface retains saturated clay ass backfill. The saturated unit weight and undrained cohesion of the backfill are $17.2 \: kN/m^3$ and $20 \: kPa$, respectively. The difference in the active ... ( in $kN$ per meter length of wall, up to two decimal places), before and after the occurrence of tension crack is _____
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100
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gate2018ce1
0
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6
GATE2018 CE1: 46
The void ratio of a soil is $0.55$ at an effective normal stress of $140$ kPa. The compression index of the soil is $0.25$. In order to reduce the void ratio to $0.4$, an increase in the magnitude of effective normal stress (in kPa, up to one decimal place) should be ________
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gate2018ce1
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GATE2018 CE1: 45
A conventional drained triaxial compression test was conducted on a normally consolidated clay sample under an effective confining pressure of $200$ kPa. The deviator stress at failure was found to be $400$ kPa. An identical specimen of the same clay sample is ... deviator stress at failure is $150$ kPa, the pore pressure developed (in kPa, up to one decimal place) is ________
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gate2018ce1
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8
GATE2018 CE1: 44
At a construction site, a contractor plans to make an excavation as shown in the figure. The water level in the adjacent river is at an elevation of $+20.0$ m. Unit weight of water is $10 \: kn/m^3$. The factor of safety (up to two decimal places) against sand boiling for the proposed excavation is ___________
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100
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gate2018ce1
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9
GATE2018 CE1: 41
An RCC beam of rectangular cross section has factored shear of $200$ kN at its critical section. Its width $b$ is $250$ mm and effective depth $d$ is $350$ mm. Assume design shear strength $\tau_c$ of concrete as $0.62 \: N/mm^2$ and maximum ... grade steel are used, then the required spacing (in cm, up to one decimal place) as per limit state method will be _____
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gate2018ce1
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10
GATE2018 CE1: 40
An RCC short column (with lateral ties) of rectangular cross section of $250 \: mm \times 300 \: mm$ is reinforced with four numbers of $16$ mm diameter longitudinal bars. The grades of steel and concrete are $\text{Fe}415$ and $M20$, respectively. Neglect ... ($\text{IS }456:2000$), the axial load carrying capacity of the column (in kN, up to one decimal place), is ______
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100
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gate2018ce1
0
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GATE2018 CE1: 37
The solution at $x=1$, $t=1$ of the partial differential equation $\frac{\partial ^2 u}{\partial x^2} = 25 \frac{\partial ^2 u}{\partial t^2}$ subject to initial conditions of $u(0) = 3x$ and $\frac{\partial u}{\partial t}(0) =3$ is _______ $1$ $2$ $4$ $6$
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Partial Differential Equation (PDE):
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jothee
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100
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gate2018ce1
partialdifferentialequation
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12
GATE2018 CE1: 36
A square area (on the surface of the earth) with side $100$ m and uniform height, appears as $1 \: cm^2$ on a vertical aerial photograph. The topographic map shows that a contour of $650$ m passes through the area. If focal length of the camera lens is $150$ mm, the height from which the aerial photograph was taken, is $800$ m $1500$ m $2150$ m $3150$ m
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100
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gate2018ce1
0
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GATE2018 CE1: 35
The following details refer to a closed traverse: Line Consecutive coordinate Northing (m) Southing (m) Easting (m) Westing (m) PQ  437 173  QR 101  558  RS 419   96 SP  83  634 ... are $1$ m and $90^{\circ}$ $2$ m and $90^{\circ}$ $1$ m and $270^{\circ}$ $2$ m and $270^{\circ}$
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100
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gate2018ce1
–1
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14
GATE2018 CE1: 34
A priority intersection has a singlelane oneway traffic road crossing an undivided twolane twoway traffic road. The traffic stream speed on the single lane road is $20$ kmph and the speed on the twolane road is $50$ kmph. The perceptionreaction time is $2.5$ s, coefficient of longitudinal ... be $50$ m and $20$ m $61$ m and $18$ m $111$ m and $15$ m $122$ m and $36$ m
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100
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gate2018ce1
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GATE2018 CE1: 33
A rapid sand filter comprising a number of filter beds is required to produce $99$ MLD of potable water. Consider water loss during backwashing as $5\%$, rate of filtration as 6.0 m/h and length to width ratio of filter bed as $1.35$. The width of each ... to take care of breakdown, repair, and maintenance. The total number of filter beds required will be $19$ $20$ $21$ $22$
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jothee
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100
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gate2018ce1
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GATE2018 CE1: 32
A closed tank contains $0.5$ m thick layer of mercury (specific gravity $=13.6$) at the bottom. A $2.0$ m thick layer of water lies above the mercury layer. A $3.0$ m thick layer of oil (specific gravity $=0.6$) lies above the water layer. The space above the oil layer contains air under ... air space is $92.214 \: kN/m^2$ $95.644 \: kN/m^2$ $98.922 \: kN/m^2$ $99.321 \: kN/m^2$
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jothee
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100
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gate2018ce1
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17
GATE2018 CE1: 31
A $0.5 \: m \times 0.5 \: m$ square concrete pile is to be driven in a homogeneous clayey soil having undrained shear strength $c_u=50 \: kPa$ and unit weight, $\gamma = 18.0 \: kN/m^3$. The design capacity of the pile $500$ kN. The adhesion factor $\alpha$ is given as ... pile required for the above design load with a factor of safety of $2.0$ is $5.2$ m $5.8$ m $11.8$ m $12.5$ m
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gate2018ce1
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18
GATE2018 CE1: 30
The figure shows a simply supported beam PQ of uniform flexural rigidity EI carrying two moments $M$ and $2M$. The slope at P will be $0$ $\text{ML}/(9\text{EI})$ $\text{ML}/(6\text{EI})$ $\text{ML}/(3\text{EI})$
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jothee
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100
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gate2018ce1
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19
GATE2018 CE1: 29
A plate in equilibrium is subjected to uniform stresses along its edges with magnitude $\sigma_{xx} = 30 MPa$ and $\sigma_{yy} = 50 MPa$ as shown in the figure. The Young's modulus of the material is $2 \times 10^{11} \: N/m^2$ and the Poisson's ratio is $0.3$ ... , then the strain $\varepsilon_{zz}$ $120 \times 10^{6}$ $60 \times 10^{6}$ $0.0$ $120 \times 10^{6}$
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19 hours
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jothee
(
100
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gate2018ce1
0
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20
GATE2018 CE1: 28
A cylinder of radius $250$ mm and weight, $W=10$ kN is rolled up an obstacle of height $50$ mm by applying a horizontal force $P$ at its centre as shown in the figure. All interfaces are assumed frictionless. The minimum value of P is $4.5$ kN $5.0$ kN $6.0$ kN $7.5$ kN
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jothee
(
100
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gate2018ce1
0
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21
GATE2018 CE1: 27
A cantilever beam of length $2$ m with a square section of side length $0.1$ m is loaded vertically at the free end. The vertical displacement at the free end is $5$ mm. The beam is made of steel with young's modulus of $2.0 \times 10^{11} N/m^2$. The maximum bending stress at the fixed end of the cantilever is $20.0$ MPa $37.5$ MPa $60.0$ MPa $75.0$ MPa
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19 hours
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jothee
(
100
points)
gate2018ce1
0
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1
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22
GATE2018 CE1: 25
A city generates $40 \times 10^6$ kg of municipal solid waste (MSW) per year, out of which only $10\%$ is recovered/recycled and the rest goes to landfill. The landfill has a single life of $3$ m height and is compacted to a density of $550 \: kg/m^3$. If $80 \%$ of the landfill is assumed to be MSW, the landfill area (in $m^2$, up to one decimal place) required would be _______
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19 hours
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jothee
(
100
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gate2018ce1
0
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23
GATE2018 CE1: 23
A $10$ m wide rectangular channel carries a discharge of $20 \: m^3/s$ under critical condition. Using $g=9.81 m/s^2$, the specific energy (in m, up to two decimal places) is _____
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19 hours
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jothee
(
100
points)
gate2018ce1
0
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24
GATE2018 CE1: 22
A $1:50$ model of a spillway is to be tested in the laboratory. The discharge in the prototype spillway is $1000 \: m^3/s$. The corresponding discharge (in $m^3/$, up to two decimal places) to be maintained in the model, neglecting variation in acceleration due to gravity, is _______
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19 hours
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jothee
(
100
points)
gate2018ce1
0
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2
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25
GATE2018 CE1: 21
A core cutter of $130$ mm height has inner and outer diameters of $100$ mm and $106$ mm, respectively. The area ratio of the core cutter (in $\%$, up to two decimal places) is _____
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19 hours
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jothee
(
100
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gate2018ce1
0
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26
GATE2018 CE1: 20
In a shrinkage limit test, the volume and mass of a dry soil pat are found to be $50 cm^3$ and $88$ g, respectively. The specific gravity of the soil solids is $2.71$ and the density of water is $1$ g/cc. The shrinkage limit (in $\%$, up to two decimal places is _____
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19 hours
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jothee
(
100
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gate2018ce1
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27
GATE2018 CE1: 19
In a fillet weld, the direct shear stress and bending tensile stress are $50$ MPa and $150$ MPa, respectively. As per $\text{IS }800:2007$, the equivalent stress (in MPa, up to two decimal places) will be ______
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19 hours
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jothee
(
100
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gate2018ce1
0
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28
GATE2018 CE1: 18
The frequency distribution of the compressive strength of $20$ ... $20$) with compressive strength less than $\mu  3 \sigma$ is ____
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jothee
(
100
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gate2018ce1
0
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29
GATE2018 CE1: 17
A flow field is given by $u=y^2, \: v=xy, \: w=0$. Value of the zcomponent of the angular velocity (in radians per unit time, up to two decimal places) at the point $(0, 1, 1)$ is ____
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19 hours
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jothee
(
100
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gate2018ce1
0
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30
GATE2018 CE1: 14
A bitumen sample has been graded as $\text{VG}30$ as per $\text{IS:}732013$. The $'30'$ in the grade means that penetration of bitumen at $25^{\circ}C$ is between $20$ and $40$ viscosity of bitumen at $60^{\circ}C$ is between $2400$ and $3600$ Poise ductility of bitumen at $27^{\circ}C$ is more than $30$ cm elastic recovery of bitumen at $15^{\circ}C$ is more than $30 \%$
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19 hours
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jothee
(
100
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gate2018ce1
0
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31
GATE2018 CE1: 13
There are $20,000$ vehicles operating in a city with an average annual travel of $12,000$ km per vehicle. The NOx emission rate is $2.0$ g/km per vehicle. The total annual release of NOx will be $4,80,000$ kg $4,800$ kg $480$ kg $48$ kg
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19 hours
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jothee
(
100
points)
gate2018ce1
0
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32
GATE2018 CE1: 11
The width of a square footing and the diameter of a circular footing are equal. If both the footings are placed on the surface of sandy soil, the ratio of the ultimate bearing capacity of circular footing to that of square footing will be $4/3$ $1$ $3/4$ $2/3$
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20 hours
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jothee
(
100
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gate2018ce1
0
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33
GATE2018 CE1: 10
The percent reduction in the bearing capacity of a strip footing resting on sand under flooding condition (water level at the base of the footing) when compared to the situation where the water level is at a depth much greater than the width of footing, is approximately $0$ $25$ $50$ $100$
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20 hours
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jothee
(
100
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gate2018ce1
0
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34
GATE2018 CE1: 9
Two rectangular underreinforced concrete beam sections X and Y are similar in all aspects except that the longitudinal compression reinforcement in section Y is $10 \%$ more. Which one of the following is the correct statement? Section X has less ... Y Sections X and Y have equal flexural strength but different ductility Sections X and Y have equal flexural strength and ductility
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jothee
(
100
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gate2018ce1
0
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35
GATE2018 CE1: 8
A solid circular beam with radius of $0.25$ m and length of $2$ m is subjected to a twisting moment of $20$ kNm about the zaxis at the free end, which is the only load acting as shown in the figure. The shear stress component $\tau_{xy}$ at point 'M' in the crosssection of the beam at a distance of $1$ m from the fixed end is $0.0$ MPa $0.51$ MPa $0.815$ MPa $2.0$ MPa
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20 hours
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jothee
(
100
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gate2018ce1
0
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36
GATE2018 CE1: 5
A steel column of ISHB $350$ @$72.4$ kg/m is subjected to a factored axial compressive load of $2000$ kN. The load is transferred to a concrete pedestal of grade $M20$ through a square base plate. Consider bearing strength of concrete as $0.45f_{ck}$, where $f_{ck}$ ... plate and steel column, the length of a side of the base plate to be provided is $39$ cm $42$ cm $45$ cm $48$ cm
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100
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gate2018ce1
0
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37
GATE2018 CE1: GA3
Hema's age is 5 years more than twice Hari's age. Suresh's age is 13 years less than Hari's age. If Suresh is 3 times as old as Hema, then how old is Hema? $14$ $17$ $18$ $19$
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20 hours
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Numerical Ability
by
jothee
(
100
points)
gate2018ce1
generalaptitude
numericalability
agerelation
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38
GATE2018 CE1: GA4
Tower A is $90$ m tall and tower B is $140$ m tall. They are 100 m apart. A horizontal skywalk connects the floors at $70$ m in both the towers. If a taut rope connects the top of tower A to the bottom tower B, at what distance (in meters) from tower A will the rope intersect the skywalk? $22.22$ $50$ $57.87$ $77.78$
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20 hours
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Numerical Ability
by
jothee
(
100
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gate2018ce1
generalaptitude
numericalability
geometry
0
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39
GATE2017 CE23
Given that the scope of the construction work is welldefined 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
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Others
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Harshavaishali
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140
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gate2017ce2
0
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40
GATE201524
$\underset{x \to \infty}{\lim} \bigg( 1+ \frac{1}{x} \bigg)^{2x} $ is equal to $e^{2}$ $e$ $1$ $e^2$
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Oct 10
in
Calculus
by
jothee
(
100
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gate2015ce2
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41
GATE20132
What is the minimum number of multiplications involved in computing the matrix product $PQR?$ Matrix P has $4$ rows an $2$ columns, matrix $Q$ has $2$ rows and $4$ columns, and matrix R has $4$ rows and $1$ column. __________
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Oct 6
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Lakshman Patel RJIT
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430
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gate2013ce
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42
GATE20131
There is no value of $x$ that can simultaneously satisfy both the given equations. Therefore, find the ‘least squares error’ solution to the two equations, i.e., find the value of $x$ that minimizes the sum of squares of the errors in the two equations. _____ $2x=3$ $4x=1$
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430
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gate2013ce
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43
GATE20142GA4
In any given year, the probability of an earthquake greater than Magnitude $6$ occurring in the Garhwal Himalayas is $0.04.$ The average time between successive occurrences of such earthquakes is ________ years.
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Oct 6
in
Numerical Ability
by
Lakshman Patel RJIT
(
430
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gate2014ce2
0
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44
GATE2014227
An observer counts $240$ veh/h at a specific highway location. Assume that the vehicle arrival at the location is Poisson distributed, the probability of having one having vehicle arriving over a $30$second time interval is _________
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Oct 5
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Lakshman Patel RJIT
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430
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gate2014ce2
0
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45
GATE2014231
The beam of an overall depth $250$ mm (shown below) is used in a building subjected to two different thermal environments. The temperatures at the top and bottom surfaces of the beam are $36^{\circ}$ and $72^{\circ}$ respectively. Considering coefficient of thermal ... per $^{\circ}C$, the vertical deflection of the beam (in mm) at its midspan due to temperature gradient is ________
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430
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gate2014ce2
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46
GATE2014232
The axial load (in kN) in the member PQ for the arrangement/assembly shown in the figure given below is ______________
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Oct 5
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Lakshman Patel RJIT
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430
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gate2014ce2
0
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47
GATE2014233
Considering the symmetric of a rigid frame as shown below, the magnitude of the bending moment (in kNm) at P (preferably using the moment distribution method) is $170$ $172$ $176$ $178$
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Oct 5
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Lakshman Patel RJIT
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430
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gate2014ce2
0
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48
GATE2014234
A prismatic beam (as shown below) has plastic moment capacity of $M_p$, then the collapse load $P$ of the beam is $\frac{2M_p}{L}$ $\frac{4M_p}{L}$ $\frac{6M_p}{L}$ $\frac{8M_p}{L}$
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Oct 5
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Lakshman Patel RJIT
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430
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gate2014ce2
0
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49
GATE2014235
The tension (in kN) in a $10$ m long cable, shown in the figure, neglecting its selfweight is $120$ $75$ $60$ $45$
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Oct 5
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Lakshman Patel RJIT
(
430
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gate2014ce2
0
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0
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50
GATE2014236
For the state of stresses (IN MPa) shown in the figure below, the maximum shear stress (in MPa) is __________
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Oct 5
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Lakshman Patel RJIT
(
430
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gate2014ce2
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