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1
GATE Civil 2022 Set 2 | GA Question: 3
Both the numerator and the denominator of $\dfrac{3}{4}$ are increased by a positive integer, $x,$ and those of $\dfrac{15}{17}$ are decreased by the same integer. This operation results in the same value for both the fractions. What is the value of $x ?$ $1$ $2$ $3$ $4$
gatecse
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Quantitative Aptitude
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by
gatecse
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quantitative-aptitude
fractions
1
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1
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2
GATE Civil 2022 Set 2 | GA Question: 10
An ant walks in a straight line on a plane leaving behind a trace of its movement. The initial position of the ant is at point $\text{P}$ facing east. The ant first turns $72^{\circ} $ anticlockwise at $\text{P},$ and then does the following two steps ... $144^{\circ}$ clockwise. The pattern made by the trace left behind by the ant is A. B. C. D.
makhdoom ghaya
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Analytical Aptitude
Jul 5
by
makhdoom ghaya
100
points
gatecivil-2022-set2
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3
GATE Civil 2022 Set 2 | Question: 28
For the square steel beam cross-section shown in the figure, the shape factor about $z - z$ axis is $S$ and the plastic moment capacity is $M_{p}.$ Consider yield stress $f_{y} = 250 \; \text{MPa}$ and $a = 100 \; \text{mm}.$ The values of $S$ and $M_{p}$ (rounded-off to one ... $S = 1.5, M_{p} = 58.9 \; \text{kN-m}$ $S = 1.5, M_{p} = 100.2 \; \text{kN-m}$
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4
GATE Civil 2022 Set 2 | Question: 8
Stresses acting on an infinitesimal soil element are shown in the figure (with $\sigma_{z} > \sigma_{x}$). The major and minor principal stresses are $\sigma_{1}$ and $\sigma_{3},$ respectively. Considering the compressive stresses as positive, which one of the following ... $\tan^{-1} \left( \frac{\tau_{zx}} {\sigma_{1} + \sigma_{3}} \right)$
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5
GATE Civil 2022 Set 1 | Question: 40
The plane truss shown in the figure is subjected to an external force $P$. It is given that $P = 70\; kN$, $a = 2\; m$, and $b = 3\; m$. The magnitude (absolute value) of force (in $kN$) in member $EF$ is ______________. (round off to the nearest integer)
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by
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gatecivil-2022-set1
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6
GATE Civil 2022 Set 1 | Question: 55
For the dual-wheel carrying assembly shown in the figure, $P$ is the load on each wheel, $a$ is the radius of the contact area of the wheel, $s$ is the spacing between the wheels, and $d$ is the clear distance between the wheels. ... round off to one decimal place) (Consider the influence angle to be $45^{\circ}$ for the linear dispersion of stress with depth)
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7
GATE Civil 2022 Set 1 | Question: 36
A horizontal force of $\text{P kN}$ is applied to a homogeneous body of weight $25$ $\text{kN}$, as shown in the figure. The coefficient of friction between the body and the floor is $0.3$. Which of the following statement(s) is/are correct? ... the body never occurs. No motion occurs for $P\leq 6$ $\text{kN}$. The motion of the body will occur by sliding only
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100
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8
GATE Civil 2022 Set 1 | GA Question: 10
Consider a cube made by folding a single sheet of paper of appropriate shape. The interior faces of the cube are all blank. However, the exterior faces that are not visible in the above view may not be blank. Which one of the following represents a possible unfolding of the cube? A. B. C. D.
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by
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100
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spatial-aptitude
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1
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1
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9
GATE Civil 2022 Set 1 | GA Question: 5
In the following diagram, the point $\text{R}$ is the center of the circle. The lines $\text{PQ}$ and $\text{ZV}$ are tangential to the circle. The relation among the areas of the squares, $\text{PXWR, RUVZ}$ and $\text{SPQT}$ is Area of $\text{SPQT}$ ... $\text{RUVZ}$ Area of $\text{PXWR}$ = Area of $\text{RUVZ}$ - Area of $\text{SPQT}$
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100
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quantitative-aptitude
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10
phase relationships of soil
a natural soil deposits has bulk density of 1.90g/cm^3 and water content of 6 percent . assume G=2.67 . asuming the voids ratio to remain constant , what will be degree of saturation at water content of 16%?
sarthika
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Soil Mechanics
May 7
by
sarthika
120
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0
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1
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11
GATE Civil 2021 Set 2 | Question: 10
The most appropriate triaxial test to assess the long-term stability of an excavated clay slope is consolidated drained test unconsolidated undrained test consolidated undrained test unconfined compression test
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Soil Mechanics
May 7
by
babji6268
140
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gatecivil-2021-set2
consolidation-test
1
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1
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12
GATE Civil 2022 Set 1 | GA Question: 4
Given the statements: $\text{P}$ is the sister of $\text{Q}$. $\text{Q}$ is the husband of $\text{R}$. $\text{R}$ is the mother of $\text{S}$. $\text{T}$ is the husband of $\text{P}$. Based on the above information, $\text{T}$ is ____________ of $\text{S}$. the grandfather an uncle the father a brother
Lakshman Patel RJIT
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13
GATE Civil 2022 Set 2 | Question: 18
For a traffic stream, $v$ is the space mean speed, $k$ is the density, $q$ is the flow, $\nu_{f}$ is the free flow speed, and $k_{j}$ ... $q =k_{j}v - \left( \frac{k_{j}}{v_{f}} \right) v^{2}$
Lakshman Patel RJIT
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Mar 21
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Lakshman Patel RJIT
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14
GATE Civil 2022 Set 2 | Question: 16
In a solid waste handling facility, the moisture contents $\text{(MC)}$ of food waste, paper waste, and glass waste were found to be $\text{MCf, MCp},$ and $\text{MCg,}$ respectively. Similarly, the energy contents $\text{(EC)}$ of plastic waste, food waste and ... $\text{ECpp > ECf > ECg}$ $\text{MCf < MCp < MCg}$ $\text{ECpp < ECf < ECg}$
Lakshman Patel RJIT
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Lakshman Patel RJIT
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15
GATE Civil 2022 Set 2 | Question: 15
$\text{P}$ and $\text{Q}$ are two square matrices of the same order. Which of the following statement(s) is/are correct? If $\text{P}$ and $\text{Q}$ are invertible, then $\text{[PQ]}^{-1} = \text{Q}^{-1} \text{P}^{-1}.$ If $\text{P}$ and $\text{Q}$ are ... $\text{P}$ and $\text{Q}$ are not invertible, then $\text{[PQ]}^{-1} = \text{Q}^{-1} \text{P}^{-1}.$
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Mar 21
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Lakshman Patel RJIT
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16
GATE Civil 2022 Set 1 | Question: 37
In the context of cross-drainage structures, the correct statement(s) regarding the relative positions of a natural drain (stream/river) and an irrigation canal, is/are In an aqueduct, natural drain water goes under the irrigation canal, ... drain water goes under the irrigation canal. In a canal syphon, natural drain water goes through the irrigation canal.
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17
GATE Civil 2022 Set 1 | Question: 35
Let max $\{a, b\}$ denote the maximum of two real numbers $a$ and $b$. Which of the following statement(s) is/are $\text{TRUE}$ about the function $f(x) = \text{max}\{3 - x,x -1\}$? It is continuous on its domain. It has a local minimum at $x = 2$. It has a local maximum at $x = 2$. It is differentiable on its domain.
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18
GATE Civil 2022 Set 1 | Question: 18
A horizontal curve is to be designed in a region with limited space. Which of the following measure(s) can be used to decrease the radius of curvature? Decrease the design speed Increase the superelevation Increase the design speed Restrict vehicles with higher weight from using the facility
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19
GATE Civil 2022 Set 1 | Question: 17
Which of the following process(es) can be used for conversion of salt water into fresh water? Microfiltration Electrodialysis Ultrafiltration Reverse osmosis
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Mar 21
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20
GATE Civil 2022 Set 1 | Question: 16
For wastewater coming from a wood pulping industry, Chemical Oxygen Demand $\text{(COD)}$ and $5$-day Biochemical Oxygen Demand $\text{(BOD}_{5})$ were determined. For this wastewater, which of the following statement(s) is/are correct? $\text{COD} > \text{BOD}_{5}$ ... $\text{COD} < \text{BOD}_{5}$ $\text{COD} = \text{BOD}_{5}$
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21
GATE Civil 2022 Set 1 | Question: 15
The matrix $M$ is defined as $M = \begin{bmatrix} 1 & 3\\ 4 & 2 \end{bmatrix}$ and has eigenvalues $5$ and $-2$. The matrix $Q$ is formed as $Q = M^{3} - 4M^{2} - 2M$ which of the following is/are the eigenvalues(s) of matrix $Q$? $15$ $25$ $-20$ $-30$
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Lakshman Patel RJIT
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1
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22
GATE Civil 2022 Set 1 | GA Question: 9
In the square grid shown on the left, a person standing at $\text{P2}$ position is required to move to $\text{P5}$ position. The only movement allowed for a step involves, two moves along one direction followed by one move in a perpendicular direction . The ... minimum number of steps required to go from $\text{P2}$ to $\text{P5}$ is $4$ $5$ $6$ $7$
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Lakshman Patel RJIT
12.0k
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analytical-aptitude
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23
GATE Civil 2022 Set 2 | Question: 4
Read the following statements relating to flexure of reinforced concrete beams: In over-reinforced sections, the failure strain in concrete reaches earlier than the yield strain in steel. In under-reinforced sections, steel reaches yielding at a load lower than the load at which ... $\text{I(False), II(True), III(True), IV(False)}$
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100
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gatecivil-2022-set2
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24
GATE Civil 2022 Set 2 | Question: 5
Match all the possible combinations between Column X (Cement compounds) and Column Y (Cement properties): ... $\text{(i) - (T), (ii) - (S), (iii) - (P) and (Q)}$
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25
GATE Civil 2022 Set 2 | Question: 7
Read the following statements: While designing a shallow footing in sandy soil, monsoon season is considered for critical design in terms of bearing capacity. For slope stability of an earthen dam, sudden drawdown is never a critical condition. In a sandy sea beach, quicksand condition ... $\text{(P)-False, (Q)-True, (R)-False, (S)-False}$
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Feb 28
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100
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gatecivil-2022-set2
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26
GATE Civil 2022 Set 2 | Question: 9
Match $\textbf{Column X}$ and $\textbf{Column Y}:$ ... $\text{(P)-(III), (Q)-(IV), (R)-(I), (S)-(V), (T)-(II)}$
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Feb 28
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gatecivil-2022-set2
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27
GATE Civil 2022 Set 2 | Question: 1
The function $f(x,y)$ satisfies the Laplace equation $\bigtriangledown^{2}f(x,y) = 0$ on a circular domain of radius $r=1$ with its center at point $P$ with coordinates $x=0, y=0.$ The value of this function on the circular boundary of this domain is equal to $3.$ The numerical value of $f(0,0)$ is: $0$ $2$ $3$ $1$
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gatecivil-2022-set2
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28
GATE Civil 2022 Set 2 | Question: 2
$\displaystyle{}\int \left( x-\frac{x^{2}}{2} + \frac{x^{3}}{3} – \frac{x^{4}}{4} + \dots \right) dx$ is equal to $\frac{1}{1+x} + $ Constant $\frac{1}{1+x^{2}} + $ Constant $-\frac{1}{1-x} + $ Constant $-\frac{1}{1-x^{2}} + $ Constant
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Feb 28
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100
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gatecivil-2022-set2
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29
GATE Civil 2022 Set 2 | Question: 3
For a linear elastic and isotropic material, the correct relationship among Young’s modulus of elasticity $(E)$, Poisson’s ratio $(\nu),$ and shear modulus $(G)$ is $G= \frac{E}{2(1+\nu)}$ $G= \frac{E}{(1+2\nu)}$ $E= \frac{G}{2(1+\nu)}$ $E= \frac{G}{(1+2\nu)}$
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Feb 28
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100
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gatecivil-2022-set2
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30
GATE Civil 2022 Set 2 | Question: 6
Consider a beam $\text{PQ}$ fixed at $\text{P},$ hinged at $\text{Q},$ and subjected to a load $F$ as shown in figure (not drawn to scale). The static and kinematic degrees of indeterminacy, respectively, are $2$ and $1$ $2$ and $0$ $1$ and $2$ $2$ and $2$
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31
GATE Civil 2022 Set 2 | Question: 10
In a certain month, the reference crop evapotranspiration at a location is $6 \; \text{mm/day.}$ If the crop coefficient and soil coefficient are $1.2$ and $0.8,$ respectively, the actual evapotranspiration in $\text{mm/day}$ is $5.76$ $7.20$ $6.80$ $8.00$
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Feb 28
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soujanyareddy13
100
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gatecivil-2022-set2
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32
GATE Civil 2022 Set 2 | Question: 13
Match the following attributes of a city with the appropriate scale of measurements. ... $\text{(P)-(I), (Q)-(II), (R)-(III), (S)-(IV)}$
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gatecivil-2022-set2
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33
GATE Civil 2022 Set 2 | Question: 11
The dimension of dynamic viscosity is: $\text{ML}^{-1} \text{T}^{-1}$ $\text{ML}^{-1} \text{T}^{-2}$ $\text{ML}^{-2} \text{T}^{-2}$ $\text{ML}^{0} \text{T}^{-1}$
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Feb 28
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100
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gatecivil-2022-set2
0
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34
GATE Civil 2022 Set 2 | Question: 12
A process equipment emits $5 \; \text{kg/h}$ of volatile organic compounds $\text{(VOCs)}$. If a hood placed over the process equipment captures $95\%$ of the $\text{VOCs},$ then the fugitive emission in $\text{kg/h}$ is $0.25$ $4.75$ $2.50$ $0.48$
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Feb 28
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soujanyareddy13
100
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gatecivil-2022-set2
0
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35
GATE Civil 2022 Set 2 | Question: 14
If the magnetic bearing of the Sun at a place at noon is $\text{S} \; 2^{\circ} \; \text{E},$ the magnetic declination (in $\textbf{degrees}$) at that place is $2^{\circ} \; \text{E}$ $2^{\circ} \; \text{W}$ $4^{\circ} \; \text{E}$ $4^{\circ} \; \text{W}$
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Feb 28
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100
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gatecivil-2022-set2
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36
GATE Civil 2022 Set 2 | Question: 17
To design an optimum municipal solid waste collection route, which of the following is/are $\text{NOT}$ desired: Collection vehicle should not travel twice down the same street in a day. Waste collection on congested roads should not occur ... uphill direction. The last collection point on a route should be as close as possible to the waste disposal facility.
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37
GATE Civil 2022 Set 2 | Question: 19
The error in measuring the radius of a $5 \; \text{cm}$ circular rod was $0.2 \%.$ If the cross-sectional area of the rod was calculated using this measurement, then the resulting absolute percentage error in the computed area is ____________. (round off to two decimal places)
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100
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gatecivil-2022-set2
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38
GATE Civil 2022 Set 2 | Question: 20
The components of pure shear strain in a sheared material are given in the matrix form: $ \varepsilon = \begin{bmatrix} 1 & 1 \\ 1 & – 1 \end{bmatrix}$ Here, $\text{Trace}(\varepsilon) = 0.$ Given, $ P = \text{Trace}(\varepsilon^{8})$ and $Q = \text{Trace}(\varepsilon^{11}).$ The numerical value of $(P + Q)$ is _____________. (in integer)
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39
GATE Civil 2022 Set 2 | Question: 21
The inside diameter of a sample tube is $50 \; \text{mm}.$ The inside diameter of the cutting edge is kept such that the Inside Clearance Ratio $\text{(ICR)}$ is $1.0 \%$ to minimize the friction on the sample as the sampler tube enters into the soil. The inside diameter (in $\text{mm}$) of the cutting edge is _______________. (round off to two decimal places)
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40
GATE Civil 2022 Set 2 | Question: 22
A concentrically loaded isolated square footing of size $2 \; \text{m} \times 2 \; \text{m}$ carries a concentrated vertical load of $1000 \; \text{kN}.$ Considering Boussinesq's theory of stress distributed, the maximum depth (in ... pressure bulb corresponding to $10 \%$ of the vertical load intensity will be ____________. (round off to two decimal places)
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41
GATE Civil 2022 Set 2 | Question: 23
In a triaxial unconsolidated undrained $\text{(UU)}$ test on a saturated clay sample, the cell pressure was $100 \; \text{kPa}.$ If the deviatoric stress at failure was $150 \; \text{kPa},$ then the undrained shear strength of the soil is ___________ $\text{kPa}.$ (in integer)
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42
GATE Civil 2022 Set 2 | Question: 24
A flood control structure having an expected life of $n$ years is designed by considering a flood of return period $T$ years. When $T = n,$ and $n \rightarrow \infty,$ the structure’s hydrologic risk of failure in percentage is _______________. (round off to one decimal place)
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43
GATE Civil 2022 Set 2 | Question: 25
The base length of the runway at the mean sea level $\text{(MSL)}$ is $1500 \; \text{m}.$ If the runway is located at an altitude of $300 \; \text{m}$ above the $\text{(MSL)},$ the actual length (in $\text{m}$) of the runway to be provided is ____________. (round off to the nearest integer)
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44
GATE Civil 2022 Set 2 | Question: 26
Consider the polynomial $f(x) = x^{3} - 6x^{2} + 11x - 6$ on the domain $S$ given by $1 \leq x \leq 3.$ The first and second derivatives are $f'(x)$ and $f''(x).$ Consider the following statements: The given polynomial is zero at ... $\text{I}$ and $\text{IV}$ are correct. Only statements $\text{II}$ and $\text{IV}$ are correct.
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45
GATE Civil 2022 Set 2 | Question: 27
An undamped spring-mass system with mass $m$ and spring stiffness $k$ is shown in the figure. The natural frequency and natural period of this system are $\omega \; \text{rad/s}$ and $T \; \text{s},$ respectively. If the stiffness of the spring is doubled and the mass is ... $T/4 \; \text{s}$ $ \omega \; \text{rad/s}$ and $T \; \text{s}$
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46
GATE Civil 2022 Set 2 | Question: 30
Match the following in $\textbf{Column X}$ with $\textbf{Column Y}:$ ... $\text{(P)-(I), (Q)-(II), (R)-(V), (S)-(VI)}$
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47
GATE Civil 2022 Set 2 | Question: 31
A soil sample is underlying a water column of height $h_{1},$ as shown in the figure. The vertical effective stresses at points $\text{A, B,}$ and $\text{C}$ are $\sigma'_{A}, \sigma'_{B},$ and $\sigma'_{C},$ respectively. Let $\gamma_{\text{sat}}$ ... $(h_{1} + h_{2} + h_{3})\gamma_{\text{sat}}$
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48
GATE Civil 2022 Set 2 | Question: 33
In a city, the chemical formula of biodegradable fraction of municipal solid waste $\text{(MSW)}$ is $\text{C}_{100} \text{H}_{250} \text{O}_{80} \text{N}.$ The waste has to be treated by forced-aeration composting process for which air requirement has to ... (in $\text{m}^{3}/\text{tonne}$) will be (round off to the nearest integer) $4749$ $8025$ $1418$ $1092$
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49
GATE Civil 2022 Set 2 | Question: 38
The concentrations $s(x,t)$ of pollutants in a one-dimensional reservoir at position $x$ and time $t$ satisfies the diffusion equation $\frac{\partial s (x,t)}{\partial t} = D \frac{\partial^{2}s (x,t)}{\partial x^{2}}$ ... $x=\dfrac{L}{2}$ of the reservoir (in $\mu \text{mol/m}$) is ______________. (in integer)
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GATE Civil 2022 Set 2 | Question: 29
A post-tensioned concrete member of span $15 \; \text(m)$ and cross-section of $450 \; \text{mm} \times 450 \; \text{mm}$ is prestressed with three steel tendons, each of cross-sectional area $200 \; \text{mm}^{2}.$ The tendons are tensioned one after another to a ... is $14.16 \; \text{MPa}$ $7.08 \; \text{MPa}$ $28.32 \; \text{MPa}$ $42.48 \; \text{MPa}$
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gatecivil-2022-set2
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