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GATE2019 CE2: GA1
Daytime temperature in Delhi can ______ $40^{\circ}C.$ get stand reach peak
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GATE2019 CE2: GA2
The growth rate of ABC Motors in $2017$ was the same ________ XYZ Motors in $2016.$ as off as those of as that off as that of
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GATE2019 CE2: GA3
Suresh wanted to lay a new carpet in his new mansion with an area of $70\times 55$ sq.mts. However an area of $550$ sq. mts. had to be left out for flower pots. If the cost carpet is Rs.$50$ sq. mts. how much money (in Rs.) will be spent by Suresh for the carpet now? $Rs.1,65,000$ $Rs.1,92,500$ $Rs.2,75,000$ $Rs.1,27,500$
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Numerical Ability
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4
GATE2019 CE2: GA4
A retaining wall with measurements $30$ m $\times12$ m $ \times 6$ m was constructed with bricks of dimensions $8$ cm $\times6$ cm $ \times 6$ cm. If $60\%$ of the wall consists of bricks,the number of bricks used for the construction is _______ lakhs. $30$ $40$ $45$ $75$
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Numerical Ability
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gate2019ce2
generalaptitude
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5
GATE2019 CE2: GA5
Hema Das was_____ only Indian athlete to win _______ gold for India. the , many the, a an, a an , the
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Feb 12
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gate2019ce2
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6
GATE2019 CE2: GA6
Mohan, the manager, wants his four workers to work in pairs. No pair should work for more than $5$ hours. Ram and John have worked together for $5$ hours. Krishna and Amir have worked as a team for $2$ hours. Krishna does not want to work with Ram. Whom should Mohan allot to work with John, if he wants all the workers to continue working? Amir Krishna Ram None of three
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7
GATE2019 CE2: GA7
Population of state $X$ increased by x$\%$ and the population of state $Y$ increased by y$\%$ from $2001$ to $2011.$ Assume that $x$ is greater than $y$. Let $P$ be the ratio of the population of state $X$ to state $Y$ in a given year. The percentage increase in $P$ from $2001$ to $2011$ is ________ $\frac{x}{y}$ $xy$ $\frac{100(xy)}{100+x}$ $\frac{100(xy)}{100+y}$
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8
GATE2019 CE2: GA8
The Newspaper reports that over $500$ hectares of tribal land spread across $28$ tribal settlements in Mohinitampuram forest division have already been alienated . A top forest official said, First the tribals are duped out of their land holdings. ... ,______ is /are responsible for duping the tribals. forest officials landless families The Newspaper it can not be inferred who
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gate2019ce2
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9
GATE2019 CE2: GA9
An oil tank can be filled by pipe $X$ in $5$ hours and pipe $Y$ in $4$ hours, each pump working on its own. When the oil tank is full and the drainage hole is open, the oil is drained in $20$ hours. If initially the tank was empty and someone started the two ... for the tank to be filled? (Assume that the rate of drainage is independent of the Head) $1.50$ $2.00$ $2.50$ $4.00$
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Feb 12
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Numerical Ability
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GATE2019 CE2: GA10
popular Hindi fiction, despite  or perhaps because of  its wide reach, often does not appear in our cinema. As ideals that viewers are meant to look up to rather identify with, Hindi film protagonists usually read books of aspirational value: ... value, but not popular Hindi fiction People do not look up to writers of textbook, English books or highvalue literature
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11
GATE2019 CE2: 1
Euclidean norm (length) of the vector $\begin{bmatrix} 4 & 2 & 6 \end{bmatrix}^T$ is $\sqrt{12}$ $\sqrt{24}$ $\sqrt{48}$ $\sqrt{56}$
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GATE2019 CE2: 2
The Laplace transform of $\sin h (\text{at})$ is $\frac{a}{s^2a^2}$ $\frac{a}{s^2 + a^2}$ $\frac{s}{s^2a^2}$ $\frac{s}{s^2+a^2}$
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GATE2019 CE2: 3
The following inequality is true for all $x$ close to $0$. $2\dfrac{x^2}{3} < \dfrac{x \sin x}{1 \cos x} <2$ What is the value of $\underset{x \to 0}{\lim} \dfrac{x \sin x}{1 – \cos x}$? $0$ $1/2$ $1$ $2$
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Feb 12
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Calculus
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limit
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14
GATE2019 CE2: 4
What is curl of the vector field $2x^2y \textbf{i} + 5z^2 \textbf{j} – 4yz \textbf{k}$? $6z \textbf{i} + 4x \textbf{j} – 2x^2 \textbf{k}$ $6z \textbf{i}  8xy \textbf{j} + 2x^2 y\textbf{k}$ $ 14 z \textbf{i} + 6y \textbf{j} + 2x^2 \textbf{k}$ $14z \textbf{i} – 2x^2 \textbf{k}$
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gate2019ce2
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15
GATE2019 CE2: 5
A closed thinwalled tube has thickness, $t$, mean enclosed area within the boundary of the centerline of tube’s thickness, $A_m$, and shear stress, $\tau$. Torsional moment of resistance, $T$, of the section would be $0.5 \tau A_m t$ $\tau A_m t$ $2 \tau A_m t$ $4 \tau A_m t$
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Feb 12
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gate2019ce2
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16
GATE2019 CE2: 6
A steel column is restrained against both translation and rotation at one end and is restrained only against rotation but free to translate at the other end. Theoretical and design $(\text{IS}:8002007)$ values, respectively, of effective length factor of the column are $1.0$ and $1.0$ $1.2$ and $1.0$ $1.2$ and $1.2$ $1.0$ and $1.2$
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gate2019ce2
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17
GATE2019 CE2: 7
If the fineness modulus of a sample of fine aggregates is $4.3$, the mean size of the particles in the sample is between $150 \: \mu m$ and $300 \: \mu m$ $300 \: \mu m$ and $600 \: \mu m$ $1.18 \: mm$ and $2.36 \: mm$ $2.36 \: mm$ and $4.75\: mm$
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gate2019ce2
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18
GATE2019 CE2: 8
For a channel section subjected to a downward vertical shear force at its centroid, which one of the following represents the correct distribution of shear stress in flange and web?
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Feb 12
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gate2019ce2
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19
GATE2019 CE2: 9
Which one of the following options contains ONLY primary air pollutants? Hydrocarbons and nitrogen oxides Hydrocarbons and ozone Ozone and peroxyacetyl nitrate Nitrogen oxides and peroxyacetyl nitrate
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Feb 12
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gate2019ce2
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20
GATE2019 CE2: 10
Analysis of a water sample revealed that the sample contains the following species. $CO_3^{2}, Na^+, H^+, PO_4^{3}, Al^{3+}, H_2CO_3, Cl^, Ca^{2+}, Mg^{2+}, HCO_3^, Fe^{2+}, OH^$ ... $CO_3^{2}, H^+, H_2CO_3, HCO_3^$ $CO_3^{2}, H_2CO_3, HCO_3^, OH^$ $H^+, H_2CO_3, HCO_3^, OH^$
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21
GATE2019 CE2: 11
Structural failures considered in the mechanistic method of bituminous pavement design are Fatigue and Rutting Fatigue and Shear Rutting and Shear Shear and Slippage
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Feb 12
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gate2019ce2
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22
GATE2019 CE2: 12
A solid sphere of radius, $r$, and made of material with density, $\rho_s$, is moving through the atmosphere (constant pressure, $p$) with a velocity, $v$. The net force ONLY due to atmospheric pressure $(F_p)$ acting on the sphere at any time, $t$, is $\pi r^2 p$ $4 \pi r^2 p$ $\frac{4}{3} \pi r^3 \rho_s \frac{dv}{dt}$ zero
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Feb 12
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gate2019ce2
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23
GATE2019 CE2: 13
The velocity field in a flow system is given by $v=2\textbf{i}+(x+y) \textbf{j} + (xyz) \textbf{k}$. The acceleration of the fluid at $(1,1,2)$ is $2 \textbf{i}+ 10 \textbf{k}$ $4 \textbf{i}+ 12 \textbf{k}$ $ \textbf{j}+ \textbf{k}$ $4 \textbf{j}+ 10 \textbf{k}$
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gate2019ce2
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24
GATE2019 CE2: 14
An inflow hydrograph is routed through a reservoir to produce an outflow hydrograph. The peak flow of the inflow hydrograph is $P_I$ and the time of occurrence of the peak is $t_I$. The peak flow of the outflow hydrograph is $P_O$ and the time of occurrence of the peak is $t_O$. ... $P_I <P_O$ and $t_I > t_O$ $P_I >P_O$ and $t_I < t_O$ $P_I >P_O$ and $t_I > t_O$
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Feb 12
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gate2019ce2
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25
GATE2019 CE2: 15
An earthen dam of height $H$ is made of cohesive soil whose cohesion and unit weight arc $c$ and $\gamma$ respectively. If the factor of safety against cohesion is $F_c$, the Taylor’s stability number $(S_n)$ is $\dfrac{\gamma H}{cF_c}$ $\dfrac{cF_c}{\gamma H}$ $\dfrac{c}{F_c \gamma H}$ $\dfrac{F_c \gamma H}{c}$
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gate2019ce2
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26
GATE2019 CE2: 16
The notation “SC” as per Indian Standard Soil Classification System refers to Sandy clay Silty clay Clayey silt Clayey sand
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Feb 12
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gate2019ce2
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27
GATE2019 CE2: 17
An anisotropic soil deposit has coefficient of permeability in vertical and horizontal directions as $k_z$ and $k_x$, respectively. For constructing a flow net, the horizontal dimension of the problem’s geometry is transformed by a multiplying factor of $\sqrt{\dfrac{k_z}{k_x}}$ $\sqrt{\dfrac{k_x}{k_z}}$ $\dfrac{k_x}{k_z}$ $\dfrac{k_z}{k_x}$
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gate2019ce2
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28
GATE2019 CE2: 18
The value of the function $f(x)$ is given at $n$ distinct values of $x$ and its value is to be interpolated at the point $x^*$, using all the $n$ points. The estimate is obtained first by the Lagrange polynomial, denoted by $I_L$, and then by the ... than $I_N$ $I_L$ and $I_N$ are always equal $I_L$ is always less than $I_N$ Not definite relation exists between $I_L$ and $I_N$
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gate2019ce2
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29
GATE2019 CE2: 19
The speeddensity relationship in a midblock section of a highway follows the Greenshield’s model. If the free flow speed is $v_f$ and the jam density is $k_j$, the maximum flow observed on this section is $v_fk_j$ $\dfrac{v_fk_j}{2}$ $\dfrac{v_fk_j}{4}$ $\dfrac{v_fk_j}{8}$
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gate2019ce2
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30
GATE2019 CE2: 20
The degree of static indeterminacy of the plane frame as shown in the figure is ________
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Feb 12
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gate2019ce2
numericalanswers
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31
GATE2019 CE2: 21
The characteristic compressive strength of concrete required in a project is $25 \: MPa$ and the standard deviation in the observed compressive strength expected at site is $4 \: MPa$. The average compressive strength of cubes tested at different watercement (w/c) ... The watercement ratio (in percent, round off to the lower integer) to be used in the mix is ______
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gate2019ce2
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32
GATE2019 CE2: 22
The data from a closed traverse survey PQRS (run in the clockwise direction) are given in the table $\begin{array}{cc} \hline \text{Line} & \text{Included angle (in degrees)} \\ \hline PQ & 88 \\ \hline QR & 92 \\ \hline RS & 94 \\ \hline SP & 89 \\ \hline \end{array}$ The closing error for the traverse PQRS (in degrees) is ______
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gate2019ce2
numericalanswers
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33
GATE2019 CE2: 23
A vehicle is moving on a road of grade $+4 \%$ at a speed of $20 \: m/s$. Consider the coefficient of rolling friction as $0.46$ and acceleration due to gravity as $10 \: m/s^2$. On applying brakes to reach a speed of $10 \: m/s$, the required braking distance (in m, round off to nearest integer) along the horizontal, is ______
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Feb 12
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gate2019ce2
numericalanswers
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34
GATE2019 CE2: 24
The command area of a canal grows only one crop, i.e., wheat. The base period of wheat is $120$ days and its total water requirement, $\Delta$, is $40 \: cm$. If the canal discharge is $2 \: m^3/s$, the area, in hectares, rounded off to the nearest integer, which could be irrigated (neglecting all losses) is _________
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gate2019ce2
numericalanswers
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35
GATE2019 CE2: 25
Construction of a new building founded on a clayey soil was completed in January $2010$. In January $2014$, the average consolidation settlement of the foundation in clay was recorded as $10 \: mm$. The ultimate consolidation settlement was estimated in ... soil site, the expected consolidation settlement in January $2019$( in mm, round off to the nearest integer) will be _______
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gate2019ce2
numericalanswers
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36
GATE2019 CE2: 26
The probability density function of a continuous random variable distributed uniformly between $x$ and $y$ (for $y>x$) is $\dfrac{1}{xy}$ $\dfrac{1}{yx}$ $xy$ $yx$
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Feb 12
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Probability and Statistics
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gate2019ce2
probabilitydensityfunction
randomvariable
uniformdistribution
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37
GATE2019 CE2: 27
Consider the hemispherical tank of radius $13 \: m$ as shown in the figure (not drawn to the scale). What is the valume of water (in $m^3$) when the depth of water at the centre of the tank is $6 \: m$? $78 \pi$ $156 \pi$ $396 \pi$ $468 \pi$
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gate2019ce2
0
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38
GATE2019 CE2: 28
An ordinary differential equation is given below; $\left ( \dfrac{dy}{dx} \right ) (x \text{ ln } x)=y$ The solution for the above equation is (Note: $K$ denotes a constant in the options) $y=K x \text{ ln } x$ $y=K x e^x$ $y=K x e^{x}$ $y=K \text{ ln } x$
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Feb 12
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Ordinary Differential Equation (ODE)
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gate2019ce2
differentialequation
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39
GATE2019 CE2: 29
For a plane stress problem, the state of stress at a point P is represented by the stress element as shown in figure. By how much angle $( \theta)$ in degrees the stress element should be rotated in order to get the planes of maximum shear stress? $13.3$ $26.6$ $31.7$ $48.3$
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gate2019ce2
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40
GATE2019 CE2: 30
The critical bending compressive stress in the extreme fibre of a structural steel section is $1000 \: MPa$. It is given that the yield strength of the steel is $250 \: MPa$, width of flange is $250 \: mm$ and thickness of flange is $15 \: mm$. As per the provisions of $IS:8002007$, the nondimensional slenderness ratio of the steel crosssection is $0.25$ $0.50$ $0.75$ $2.00$
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gate2019ce2
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