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Recent questions tagged gate2018-ce-1

9 9 votes
2 answers 2 answers
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?$\...
2 2 votes
2 answers 2 answers
GATE Civil 2018 Set 1 | GA | Question: 8
Which of the following function(s) is an accurate description of the graph for the range(s) indicated?$y=2x+4 \text{ for } -3 \leq x \leq -1$$y= \mid x-1 \mid \text{ for ...
6 6 votes
1 answers 1 answer
GATE Civil 2018 Set 1 | GA | Question: 7
The price of a wire made of a super alloy material is proportional to the square of its length. The price of $10 m$ length of the wire is Rs. $1600$. What would be the to...
8 8 votes
3 answers 3 answers
GATE Civil 2018 Set 1 | GA | Question: 6
A fruit seller sold a basket of fruits at $\text{12.5%}$ loss. Had he sold it for Rs. $108$ more, he would have made a $\text{10%}$ gain. What is the loss in Rupees incur...
8 8 votes
1 answers 1 answer
GATE Civil 2018 Set 1 | GA | Question: 5
The temperature $T$ in a room varies as a function of the outside temperature $T_0$ and the number of persons in the room $p$, according to the relation $T=K(\theta p +T_...
10 10 votes
5 answers 5 answers
GATE Civil 2018 Set 1 | GA | Question: 4
Tower A is $90$ m tall and tower B is $140$ m tall. They are 100 m apart. A horizontal skywalk connects the floors at $70$ m in both the towers. If a taut rope connects t...
27 27 votes
6 answers 6 answers
GATE Civil 2018 Set 1 | GA | Question: 3
Hema's age is $5$ years more than twice Hari's age. Suresh's age is $13$ years less than Hari's age. If Suresh is $3$ times as old as Hema, then how old is Hema?$14$$17$$...
14 14 votes
6 answers 6 answers
GATE Civil 2018 Set 1 | GA | Question: 10
Each of the letters arranged as below represents a unique integer from $1$ to $9$. The letters are positioned in the figure such that $(A \times B \times C), (B \times G ...
2 2 votes
2 answers 2 answers
GATE Civil 2018 Set 1 | GA | Question: 2
"It is no surprise that every society has had codes of behavior; however, the nature of these codes is often _____."The word that best fills the blank in the above senten...
3 3 votes
2 answers 2 answers
GATE Civil 2018 Set 1 | GA | Question: 1
"The driver applied the ____ as soon as she approached the hotel where she wanted to take a ____"brake, breakbreak, brakebrake, brakebreak, break
0 0 votes
1 1 answer
GATE2018 CE-1: 52
The ultimate BOD $(L_0)$ of a wastewater sample is estimated as $87 \%$ of COD. The COD of this wastewater is $300$ mg/L. Considering first order BOD reaction rate consta...
–1 –1 vote
1 1 answer
GATE2018 CE-1: 47
A rigid smooth retaining wall of height $7$ m with vertical backface retains saturated clay ass backfill. The saturated unit weight and undrained cohesion of the backfill...
0 0 votes
1 1 answer
GATE2018 CE-1: 51
A water sample analysis data is given below,$$\begin{array}{|c|c|} \hline \textbf{Ion} & \textbf{Concentration, mg/L} & \textbf{Atomic Weight} \\ \hline Ca^{2+} & 60 & 40...
0 0 votes
1 1 answer
GATE2018 CE-1: 48
Rainfall depth over a watershed is monitored through six number of well distributed rain gauges. Gauged data are given below$$\begin{array}{|c|c|} \hline\textbf{Rain Gaug...
0 0 votes
1 1 answer
GATE2018 CE-1: 49
The infiltration rate $f$ in a basin under ponding condition is given by $f = 30+10e^{-2t}$ where, $f$ is in mm/h and $t$ is time in hour. Total depth of infiltration (in...
0 0 votes
1 1 answer
GATE2018 CE-1: 53
A waste activated sludge (WAS) is to be blended with green waste (GW). The carbon (C) and nitrogen (N) contents, per kg of WAS and GW, on dry basis are given in the table...
0 0 votes
1 1 answer
GATE2018 CE-1: 50
In a laboratory, a flow experiment is performed over a hydraulic structure. The measured values of discharge and velocity are $\text{0.05}$ $m^{3}/s$ and $\text{0.25}$ $m...
0 0 votes
1 1 answer
GATE2018 CE-1: 54
Given the following data: design life $n=15$ years, lane distribution factor $D=0.75$, annual rate of growth of commercial vehicles $r=6 \%$, vehicle damage factor $F=4$ ...
0 0 votes
1 1 answer
GATE2018 CE-1: 55
An aircraft approaches the threshold of a runway strip at a speed of $200$ km/h. The pilot decelerates the aircraft at a rate of $1.697 \: m/s^2$ and takes $18 \: s$ to e...
0 0 votes
2 2 answers
GATE2018 CE-1: 40
An RCC short column (with lateral ties) of rectangular cross section of $250 \: mm \times 300 \: mm$ is reinforced with four numbers of $16$ mm diameter longitudinal bars...
0 0 votes
1 1 answer
GATE2018 CE-1: 39
Variation of water depth $(y)$ in a gradually varied open channel flow is given by the first order differential equation$$ \dfrac{dy}{dx} = \dfrac{1-e^{-\frac{10}{3} \ln(...
0 0 votes
0 0 answers
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 des...
0 0 votes
1 1 answer
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 str...
0 0 votes
2 2 answers
GATE2018 CE-1: 43
Consider the deformable pin-joined truss with loading, geometry and section properties as shown in the figure.Given that $E = 2 \times 10^{11} N/m^2, \: A=10 mm^2, L=1 m$...
0 0 votes
2 2 answers
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 _____
0 0 votes
1 1 answer
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 $y(0) = 1$ a...
0 0 votes
1 1 answer
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 condit...
0 0 votes
0 0 answers
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...
0 0 votes
1 1 answer
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...
0 0 votes
2 2 answers
GATE2018 CE-1: 35
The following details refer to a closed traverse:LineConsecutive coordinateNorthing (m)Southing (m)Easting (m)Westing (m)PQ -$437$$173$ -QR$101$ $558$ RS$419$ $96$SP ...
0 0 votes
0 0 answers
GATE2018 CE-1: 32
A closed tank contains $0.5$ m thick layer of mercury (specific gravity $=13.6$) at the bottom. A $2.0$ m thick layer of water lies above the mercury layer. A $3.0$ m thi...
0 0 votes
0 0 answers
GATE2018 CE-1: 31
A $0.5 \: m \times 0.5 \: m$ square concrete pile is to be driven in a homogeneous clayey soil having undrained shear strength $c_u=50 \: kPa$ and unit weight, $\gamma = ...
0 0 votes
0 0 answers
GATE2018 CE-1: 29
A plate in equilibrium is subjected to uniform stresses along its edges with magnitude $\sigma_{xx} = 30 MPa$ and $\sigma_{yy} = 50 MPa$ as shown in the figure.The Young'...
0 0 votes
0 0 answers
GATE2018 CE-1: 36
A square area (on the surface of the earth) with side $100$ m and uniform height, appears as $1 \: cm^2$ on a vertical aerial photograph. The topographic map shows that a...
0 0 votes
1 1 answer
GATE2018 CE-1: 33
A rapid sand filter comprising a number of filter beds is required to produce $99$ MLD of potable water. Consider water loss during backwashing as $5\%$, rate of filtrati...
0 0 votes
0 0 answers
GATE2018 CE-1: 28
A cylinder of radius $250$ mm and weight, $W=10$ kN is rolled up an obstacle of height $50$ mm by applying a horizontal force $P$ at its centre as shown in the figure.All...
0 0 votes
0 0 answers
GATE2018 CE-1: 30
The figure shows a simply supported beam PQ of uniform flexural rigidity EI carrying two moments $M$ and $2M$.The slope at P will be$0$$\text{ML}/(9\text{EI})$$\text{ML}/...
–1 –1 vote
3 3 answers
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...
0 0 votes
1 1 answer
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 h...
0 0 votes
1 1 answer
GATE2018 CE-1: 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...
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