Recent questions tagged gate2019-ce-2

3 3 votes
1 answers 1 answer
Daytime temperature in Delhi can ______ $40^{\circ}C.$getstandreachpeak
2 2 votes
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The growth rate of ABC Motors in $2017$ was the same ________ XYZ Motors in $2016.$as offas those ofas that offas that of
5 5 votes
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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 co...
6 6 votes
1 answers 1 answer
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 ...
2 2 votes
2 answers 2 answers
Hema Das was_____ only Indian athlete to win _______ gold for India. the , manythe, aan, aan , the
3 3 votes
1 answers 1 answer
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 Ami...
15 15 votes
2 answers 2 answers
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 ...
2 2 votes
1 answers 1 answer
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...
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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 o...
7 7 votes
1 answers 1 answer
“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 ident...
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Euclidean norm (length) of the vector $\begin{bmatrix} 4 & -2 & -6 \end{bmatrix}^T$ is$\sqrt{12}$$\sqrt{24}$$\sqrt{48}$$\sqrt{56}$
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The Laplace transform of $\sin h (\text{at})$ is $\dfrac{a}{s^2-a^2} \\$$\dfrac{a}{s^2 + a^2} \\$$\dfrac{s}{s^2-a^2} \\$$\dfrac{s}{s^2+a^2}$
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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 \si...
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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}$$6z \textbf{i} - 8xy \textbf{j} + ...
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A closed thin-walled tube has thickness, $t$, mean enclosed area within the boundary of the centerline of tube’s thickness, $A_m$, and shear stress, $\tau$. Torsional mom...
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A steel column is restrained against both translation and rotation at one end and is restrained only against rotation but free to translate at the other end. Theoretical ...
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If the fineness modulus of a sample of fine aggregates is $4.3$, the mean size of the particles in the sample is between$150 \: \mu m$ and $300 \: \mu m$$300 \: \mu m$ an...
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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 flan...
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Which one of the following options contains ONLY primary air pollutants?Hydrocarbons and nitrogen oxidesHydrocarbons and ozoneOzone and peroxyacetyl nitrateNitrogen oxide...
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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...
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Structural failures considered in the mechanistic method of bituminous pavement design areFatigue and RuttingFatigue and ShearRutting and ShearShear and Slippage
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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 ...
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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 \textb...
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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 pea...
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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 $F_c$,...
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The notation “SC” as per Indian Standard Soil Classification System refers toSandy claySilty clayClayey siltClayey sand
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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 horiz...
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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 ...
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The speed-density relationship in a mid-block 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 maxi...
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The degree of static indeterminacy of the plane frame as shown in the figure is ________
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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 ...
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The data from a closed traverse survey PQRS (run in the clockwise direction) are given in the table$$\begin{array}{|c|c|} \hline \text{Line} & \text{Included angle (in d...
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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 \:...
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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 cana...
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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...
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Consider the hemi-spherical 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 th...
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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 ...
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A camera with a focal length of $20$ cm fitted in an aircraft is used for taking vertical aerial photographs of a terrain. The average elevation of the terrain is $1200 \...
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A flexible pavement has the following class of loads during a particular hour of the day.$80$ buses with $2$- axles ( each axle load of $40 \: kN$)$160$ trucks with $2$-a...
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The inverse of the matrix $\begin{bmatrix} 2 & 3 & 4 \\ 4 & 3 & 1 \\ 1 & 2 & 4 \end{bmatrix}$ is $\begin{bmatrix} 10 & -4 & -9 \\ -15 & 4 & 14 \\ 5 & -1 & -6 \end{bmatrix...