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Recent questions tagged gate2018ce1
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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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Feb 17, 2018
in
Numerical Ability
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gatecse
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gate2018ce1
generalaptitude
numericalability
agerelation
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2
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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Feb 17, 2018
in
Numerical Ability
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gatecse
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gate2018ce1
generalaptitude
numericalability
geometry
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3
GATE2018 CE1: GA10
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 cannot be represented by ... $4$ $5$ $6$ $9$
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Feb 17, 2018
in
Numerical Ability
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gatecse
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3.9k
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gate2018ce1
generalaptitude
numericalability
counting
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4
GATE2018 CE1: GA9
Consider a sequence of numbers $a_1, a_2, a_3, \dots , a_n$ where $a_n = \frac{1}{n}\frac{1}{n+2}$, for each integer $n>0$. Whart is the sum of the first 50 terms? $\big( 1+ \frac{1}{2} \big)  \frac{1}{50}$ $\big( 1+ \frac{1}{2} \big) + \frac{1}{50}$ $\big( 1+ \frac{1}{2} \big)  \big( \frac{1}{51} + \frac{1}{52} \big)$ $1  \big( \frac{1}{51} + \frac{1}{52} \big)$
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Feb 17, 2018
in
Numerical Ability
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gatecse
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3.9k
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gate2018ce1
generalaptitude
numericalability
summation
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5
GATE2018 CE1: GA8
Which of the following function(s) is an accurate description of the graph for the range(s) indicated? $y=2x+4 \text{ for } 3 \leq x \leq 1$ $y= \mid x1 \mid \text{ for } 1 \leq x \leq 2$ $y= \mid\mid x \mid 1 \mid \text{ for } 1 \leq x \leq 2$ $y=1 \text{ for } 2 \leq x \leq 3$ i, ii and iii only i, ii and iv only i and iv only ii and iv only
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Feb 17, 2018
in
Numerical Ability
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gatecse
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3.9k
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gate2018ce1
generalaptitude
numericalability
linearequation
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6
GATE2018 CE1: GA7
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 $6m$ ? $768$ $832$ $1440$ $1600$
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Feb 17, 2018
in
Numerical Ability
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gatecse
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3.9k
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gate2018ce1
generalaptitude
numericalability
ratioproportion
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0
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7
GATE2018 CE1: GA6
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? $48$ $52$ $60$ $108$
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Feb 17, 2018
in
Numerical Ability
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gatecse
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3.9k
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gate2018ce1
generalaptitude
numericalability
percentages
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0
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8
GATE2018 CE1: GA5
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 $\theta$ ... $0.8$ $1.0$ $2.0$ $10.0$
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Feb 17, 2018
in
Numerical Ability
by
gatecse
(
3.9k
points)
gate2018ce1
generalaptitude
numericalability
datainterpretation
0
votes
1
answer
9
GATE2018 CE1: GA2
"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
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Feb 17, 2018
in
Verbal Ability
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3.9k
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gate2018ce1
generalaptitude
verbalability
mostappropriateword
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1
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10
GATE2018 CE1: GA1
"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
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Feb 17, 2018
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Verbal Ability
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gate2018ce1
generalaptitude
verbalability
englishgrammar
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11
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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Feb 17, 2018
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gate2018ce1
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12
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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Feb 17, 2018
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gate2018ce1
trafficengineering
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13
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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Feb 17, 2018
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gate2018ce1
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14
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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Feb 17, 2018
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Others
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gate2018ce1
–1
vote
1
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15
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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Feb 17, 2018
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gate2018ce1
0
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16
GATE2018 CE1: 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 ____
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Feb 17, 2018
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Others
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gatecse
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3.9k
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gate2018ce1
0
votes
1
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17
GATE2018 CE1: 51
A water sample analysis data is given below, ... $CaCO_3$, up to one decimal place), for the water sample, is ____
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Feb 17, 2018
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Others
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3.9k
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gate2018ce1
0
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1
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GATE2018 CE1: 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 _______
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Feb 17, 2018
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Others
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3.9k
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gate2018ce1
dimensionalanalysis
hydraulicsimilitude
0
votes
1
answer
19
GATE2018 CE1: 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 _____
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Feb 17, 2018
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gate2018ce1
0
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20
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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Feb 17, 2018
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gate2018ce1
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21
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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22
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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23
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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Feb 17, 2018
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gate2018ce1
0
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2
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24
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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Feb 17, 2018
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gate2018ce1
0
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1
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25
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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Feb 17, 2018
in
Partial Differential Equation (PDE):
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gate2018ce1
partialdifferentialequation
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votes
2
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26
GATE2018 CE1: 43
Consider the deformable pinjoined 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 _____
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Feb 17, 2018
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gate2018ce1
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27
GATE2018 CE1: 42
The dimensions of a symmetrical welded Isection 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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Feb 17, 2018
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gate2018ce1
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28
GATE2018 CE1: 39
Variation of water depth (y) in a gradually varied open channel flow is given by the first order differential equation $ \frac{dy}{dx} = \frac{1e^{\frac{10}{3} \text{In}(y)}}{250  45e^{3\text{In}(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 _______
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gate2018ce1
0
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29
GATE2018 CE1: 38
The solution (up to three decimal places) at $x=1$ of the differential equation $\frac{d^2y}{dx^2} + 2 \frac{dy}{dx} + y =0$ subject to boundary conditions $y(0) = 1$ and $\frac{dy}{dx}(0) = 1$ is _____
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Feb 17, 2018
in
Ordinary Differential Equation (ODE)
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gatecse
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3.9k
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gate2018ce1
differentialequation
0
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0
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30
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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gate2018ce1
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31
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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gate2018ce1
–1
vote
3
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32
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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33
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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34
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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35
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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36
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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37
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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38
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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39
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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40
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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