Recent questions tagged gate2018-ce-1 / GO Civil

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GATE Civil 2018 Set 1 | GA Question: 9
Consider a sequence of numbers $a_1, a_2, a_3, \dots , a_n$ where $a_n = \dfrac{1}{n}-\dfrac{1}{n+2}$, for each integer $n>0$. Whart is the sum of the first $50$ terms? $\bigg( 1+ \dfrac{1}{2} \bigg) - \dfrac{1}{50} \\$ ... $1 - \bigg( \dfrac{1}{51} + \dfrac{1}{52} \bigg)$

Consider a sequence of numbers $a_1, a_2, a_3, \dots , a_n$ where $a_n = \dfrac{1}{n}-\dfrac{1}{n+2}$, for each integer $n>0$. Whart is the sum of the first $50$ terms?$\...

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GATE Civil 2018 Set 1 | GA Question: 8
Which of the following function(s) is an accurate description of the graph for the range(s) indicated? $y=2x+4 \text{ for } -3 \leq x \leq -1$ $y= \mid x-1 \mid \text{ for } -1 \leq x \leq 2$ $y= \mid\mid x \mid -1 \mid \text{ for } -1 \leq x \leq 2$ $y=1 \text{ for } 2 \leq x \leq 3$ i, ii and iii only i, ii and iv only i and iv only ii and iv only

Which of the following function(s) is an accurate description of the graph for the range(s) indicated?$y=2x+4 \text{ for } -3 \leq x \leq -1$$y= \mid x-1 \mid \text{ for ...

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GATE Civil 2018 Set 1 | GA Question: 7
The price of a wire made of a super alloy material is proportional to the square of its length. The price of $10 m$ length of the wire is Rs. $1600$. What would be the total price (in Rs.) of two wires of length $4m$ and $6m$ ? $768$ $832$ $1440$ $1600$

The price of a wire made of a super alloy material is proportional to the square of its length. The price of $10 m$ length of the wire is Rs. $1600$. What would be the to...

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GATE Civil 2018 Set 1 | GA Question: 6
A fruit seller sold a basket of fruits at $\text{12.5%}$ loss. Had he sold it for Rs. $108$ more, he would have made a $\text{10%}$ gain. What is the loss in Rupees incurred by the fruit seller? $48$ $52$ $60$ $108$

A fruit seller sold a basket of fruits at $\text{12.5%}$ loss. Had he sold it for Rs. $108$ more, he would have made a $\text{10%}$ gain. What is the loss in Rupees incur...

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GATE Civil 2018 Set 1 | GA Question: 5
The temperature $T$ in a room varies as a function of the outside temperature $T_0$ and the number of persons in the room $p$, according to the relation $T=K(\theta p +T_0)$, where $\theta$ and $K$ are constants. What would be the value of $\theta$ given the following ... $0.8$ $1.0$ $2.0$ $10.0$

The temperature $T$ in a room varies as a function of the outside temperature $T_0$ and the number of persons in the room $p$, according to the relation $T=K(\theta p +T_...

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GATE Civil 2018 Set 1 | GA Question: 4
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? $22.22$ $50$ $57.87$ $77.78$

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 t...

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7

GATE Civil 2018 Set 1 | GA Question: 3
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? $14$ $17$ $18$ $19$

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$$17$$...

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8

GATE Civil 2018 Set 1 | GA Question: 10
Each of the letters arranged as below represents a unique integer from $1$ to $9$. The letters are positioned in the figure such that $(A \times B \times C), (B \times G \times E)$ and $(D \times E \times F)$ are equal. Which integer among the following choices ... $4$ $5$ $6$ $9$

Each of the letters arranged as below represents a unique integer from $1$ to $9$. The letters are positioned in the figure such that $(A \times B \times C), (B \times G ...

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9

GATE Civil 2018 Set 1 | GA Question: 2
"It is no surprise that every society has had codes of behavior; however, the nature of these codes is often _____." The word that best fills the blank in the above sentence is unpredictable simple expected strict

"It is no surprise that every society has had codes of behavior; however, the nature of these codes is often _____."The word that best fills the blank in the above senten...

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10

GATE Civil 2018 Set 1 | GA Question: 1
"The driver applied the ____ as soon as she approached the hotel where she wanted to take a ____" brake, break break, brake brake, brake break, break

"The driver applied the ____ as soon as she approached the hotel where she wanted to take a ____"brake, breakbreak, brakebrake, brakebreak, break

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11

GATE2018 CE-1: 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 _____

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 consta...

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12

GATE2018 CE-1: 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 _____

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...

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13

GATE2018 CE-1: 51
A water sample analysis data is given below, ... $CaCO_3$, up to one decimal place), for the water sample, is ____

A water sample analysis data is given below,$$\begin{array}{|c|c|} \hline \textbf{Ion} & \textbf{Concentration, mg/L} & \textbf{Atomic Weight} \\ \hline Ca^{2+} & 60 & 40...

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14

GATE2018 CE-1: 48
Rainfall depth over a watershed is monitored through six number of well distributed rain gauges. Gauged data are given below ... The Thiessen mean value (in mm, up to one decimal place) of the rainfall is _____

Rainfall depth over a watershed is monitored through six number of well distributed rain gauges. Gauged data are given below$$\begin{array}{|c|c|} \hline\textbf{Rain Gaug...

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15

GATE2018 CE-1: 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 ______

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...

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16

GATE2018 CE-1: 53
A waste activated sludge (WAS) is to be blended with green waste (GW). The carbon (C) and nitrogen (N) contents, per kg of WAS and GW, on dry basis are given in the table. ... $C: N$ ratio of $20:1$ on dey basis is ____

A waste activated sludge (WAS) is to be blended with green waste (GW). The carbon (C) and nitrogen (N) contents, per kg of WAS and GW, on dry basis are given in the table...

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17

GATE2018 CE-1: 50
In a laboratory, a flow experiment is performed over a hydraulic structure. The measured values of discharge and velocity are $\text{0.05}$ $m^{3}/s$ and $\text{0.25}$ $m/s$, respectively. If the full scale structure ($30$ times bigger) is subjected to a discharge of ${270}$ $m^{3}/s$, then the time scale (model to full scale) value (up to two decimal places) is _______

In a laboratory, a flow experiment is performed over a hydraulic structure. The measured values of discharge and velocity are $\text{0.05}$ $m^{3}/s$ and $\text{0.25}$ $m...

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18

GATE2018 CE-1: 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 _____

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 $F=4$ ...

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19

GATE2018 CE-1: 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 _______

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 e...

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20

GATE2018 CE-1: 39
Variation of water depth $(y)$ in a gradually varied open channel flow is given by the first order differential equation $ \dfrac{dy}{dx} = \dfrac{1-e^{-\frac{10}{3} \ln(y)}}{250 - 45e^{-3\ln(y)}}$ ... in m, up to three decimal places) of flow at a downstream section at $x=1$ m from one calculation step of Single Step Euler Method is ___________

Variation of water depth $(y)$ in a gradually varied open channel flow is given by the first order differential equation$$ \dfrac{dy}{dx} = \dfrac{1-e^{-\frac{10}{3} \ln(...

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21

GATE2018 CE-1: 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 ______

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...

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22

GATE2018 CE-1: 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 _____

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 des...

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23

GATE2018 CE-1: 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 ________

A conventional drained triaxial compression test was conducted on a normally consolidated clay sample under an effective confining pressure of $200$ kPa. The deviator str...

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24

GATE2018 CE-1: 43
Consider the deformable pin-joined truss with loading, geometry and section properties as shown in the figure. Given that $E = 2 \times 10^{11} N/m^2, \: A=10 mm^2, L=1 m$ and $P=1 kN$. The horizontal displacement of Joint C (in mm, up to one decimal place) is _____

Consider the deformable pin-joined truss with loading, geometry and section properties as shown in the figure.Given that $E = 2 \times 10^{11} N/m^2, \: A=10 mm^2, L=1 m$...

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25

GATE2018 CE-1: 42
The dimensions of a symmetrical welded I-section are shown in the figure. The plastic section modulus about the weaker axis (in $cm^3$, up to decimal place) is _____

The dimensions of a symmetrical welded I-section are shown in the figure.The plastic section modulus about the weaker axis (in $cm^3$, up to decimal place) is _____

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26

GATE2018 CE-1: 38
The solution (up to three decimal places) at $x=1$ of the differential equation $\dfrac{d^2y}{dx^2} + 2 \dfrac{dy}{dx} + y =0$ subject to boundary conditions $y(0) = 1$ and $\dfrac{dy}{dx}(0) = -1$ is _____

The solution (up to three decimal places) at $x=1$ of the differential equation $\dfrac{d^2y}{dx^2} + 2 \dfrac{dy}{dx} + y =0$ subject to boundary conditions $y(0) = 1$ a...

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27

GATE2018 CE-1: 37
The solution at $x=1$, $t=1$ of the partial differential equation $\dfrac{\partial ^2 u}{\partial x^2} = 25 \dfrac{\partial ^2 u}{\partial t^2}$ subject to initial conditions of $u(0) = 3x$ and $\dfrac{\partial u}{\partial t}(0) =3$ is _______ $1$ $2$ $4$ $6$

The solution at $x=1$, $t=1$ of the partial differential equation $\dfrac{\partial ^2 u}{\partial x^2} = 25 \dfrac{\partial ^2 u}{\partial t^2}$ subject to initial condit...

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28

GATE2018 CE-1: 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 ___________

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...

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29

GATE2018 CE-1: 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 ________

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...

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30

GATE2018 CE-1: 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 break-down, repair, and maintenance. The total number of filter beds required will be $19$ $20$ $21$ $22$

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 filtrati...

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31

GATE2018 CE-1: 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 $92.214 \: kN/m^2$ $95.644 \: kN/m^2$ $98.922 \: kN/m^2$ $99.321 \: kN/m^2$

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 thi...

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32

GATE2018 CE-1: 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

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 = ...

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33

GATE2018 CE-1: 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 $0.3$. If ... then the strain $\varepsilon_{zz}$ $-120 \times 10^{-6}$ $-60 \times 10^{-6}$ $0.0$ $120 \times 10^{-6}$

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'...

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34

GATE2018 CE-1: 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

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...

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35

GATE2018 CE-1: 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 $0$ $\text{ML}/(9\text{EI})$ $\text{ML}/(6\text{EI})$ $\text{ML}/(3\text{EI})$

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}/...

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36

GATE2018 CE-1: 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 ---- $83$ ---- $634$ The length and direction (whole circle bearing) of ... are $1$ m and $90^{\circ}$ $2$ m and $90^{\circ}$ $1$ m and $270^{\circ}$ $2$ m and $270^{\circ}$

The following details refer to a closed traverse:LineConsecutive coordinateNorthing (m)Southing (m)Easting (m)Westing (m)PQ -$437$$173$ -QR$101$ $558$ RS$419$ $96$SP ...

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37

GATE2018 CE-1: 34
A priority intersection has a single-lane oneway traffic road crossing an undivided two-lane two-way traffic road. The traffic stream speed on the single lane road is $20$ kmph and the speed on the two-lane road is $50$ kmph. The perception-reaction 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

A priority intersection has a single-lane oneway traffic road crossing an undivided two-lane two-way traffic road. The traffic stream speed on the single lane road is $20...

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38

GATE2018 CE-1: 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

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...

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39

GATE2018 CE-1: 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 _______

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 h...

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40

GATE2018 CE-1: 24
For routing of flood in a given channel using the Muskingum method, two of the routing coefficients are estimated as $C_0=-0.25$ and $C_1=0.55$. The value of the third coefficient $C_2$ would be ____

For routing of flood in a given channel using the Muskingum method, two of the routing coefficients are estimated as $C_0=-0.25$ and $C_1=0.55$. The value of the third co...

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