Recent questions tagged gate2019-ce-1

11 11 votes
1 answers 1 answer
The lecture was attended by quite _______ students, so the hall was not very _______.a few, quitefew, quieta few, quietfew, quite
5 5 votes
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They have come a long way in ________ trust among the users.creatingcreatedcreationcreate
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On a horizontal ground, the base of a straight ladder is $6$ m away from the base of a vertical pole. The ladder makes an angle of $45^{\circ}$ to the horizontal. If the ...
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If $E=10,J=20,O=30,$ and $T=40,$ what will be $P+E+S+T?$$51$$82$$120$$164$
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The CEO’s decision to quit was as shocking to the Board as it was to ______.Imemymyself
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The new cotton technology, Bollgard-II, with herbicide-tolerant traits has developed into a thriving business in India. However, the commercial use of this technology is ...
11 11 votes
2 answers 2 answers
In a sports academy of $300$ peoples, $105$ play only cricket, $70$ play only hockey, $50$ play only football, $25$ play both cricket and hockey, $15$ play both hockey an...
4 4 votes
1 answers 1 answer
"The increasing interest in tribal characters might be a mere coincidence, but the timing is of interest. None of this, though, is to say that the tribal hero has arrived...
4 4 votes
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A square has side $5$ cm smaller than the sides of a second square. The area of the larger square is four times the area of the smaller square. The side of the larger squ...
8 8 votes
2 answers 2 answers
$P, Q, R, S$ and $T$ are related and belong to the same family. $P$ is the brother of $S, Q$ is the wife of $P$. $R$ and $T$ are the children of the siblings $P$ and $S$ ...
2 2 votes
1 1 answer
Which one of the following is correct?$\displaystyle{} \lim_{x\rightarrow 0} \left( \dfrac{\sin4x}{\sin2x}\right)=2\;\text{and}\: \lim_{x\rightarrow 0} \left( \dfrac{\tan...
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Consider a two-dimensional flow through isotropic soil along $x$ direction and $z$ direction. If $h$ is the hydraulic head, the Laplace’s equation of continuity is expre...
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A simple mass-spring oscillatory system consists of a mass $m$, suspended from a spring of stiffness $k$. Considering $z$ as the displacement of the system at any time $t...
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For a small value of $h$, the Taylor series expansion for $f(x+h)$ is$f(x)+h{f}’ (x) + \dfrac{h^2}{2!}{f}’’(x) + \dfrac{h^3}{3!}{f}’'’(x)+\dots \infty \\$$f(x)-h{f}’ (x) ...
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A plane truss is shown in the figure (not drawn to scale).Which one of the options contains ONLY zero force members in the truss?$\text{FG,FI,HI,RS}$$\text{FG,FH,HI,RS}$$...
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An element is subjected to biaxial normal tensile strains of $0.0030$ and $0.0020$. The normal strain in the plane of maximum shear strain isZero$0.0010$$0.0025$$0.0050$
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Consider the pin-jointed plane truss shown in the figure $\text{(not drawn to scale)}$.Let $R_{P}, R_{Q}$ and $R_{R}$ denote the vertical reactions (upward positive) appl...
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Assuming that there is no possibility of shear buckling in the web, the maximum reduction permitted by $\text{IS 800-2007}$ in the (low-shear) design bending strength of ...
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In the reinforced beam section shown in the figure $\text{(not drawn to scale)}$, the nominal cover provided at the bottom of the beam as per $\text{IS 456-2000},$ is$\te...
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The interior angles of four triangles are given below:$$\begin{array}{|l|l|}\hline \textbf{Triangle} & \textbf{Interior Angles} \\\hline \text{P} & 85^{\circ},50^{\circ...
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The coefficient of average rolling friction of a road road is $f_r$ and its grade is $+G\%$. If the grade of this road is doubled, what will be the percentage change in t...
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An isolated concrete pavement slab of length $L$ is resting on a frictionless base. The temperature of the top and bottom fibre of the slab are $T_t$ and $T_b$, respectiv...
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In a rectangular channel, the ratio of the velocity head to the flow depth for critical flow condition, is$\dfrac{1}{2}\\$$\dfrac{2}{3} \\$$\dfrac{3}{2} \\$$2$
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If the path of an irrigation canal is below the bed level of a natural stream, the type of cross-drainage structure provided isAqueductLevel crossingSluice gateSuper pass...
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A catchment may be idealised as a rectangle. There are three rain gauges located inside the catchment at arbitrary locations. The average precipitation over the catchment...
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A retaining wall of height $H$ with smooth vertical backface supports a backfill inclined at an angle $\beta$ with the horizontal. The backfill consists of cohesionless s...
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In a soil specimen, the total stress, effective stress, hydraulic gradient and critical hydraulic gradient are $\sigma, \: \sigma’$, $i$ and $i_c$, respectively. For init...
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Which one of the following is a secondary pollutant?OzoneCarbon MonoxideHydrocarbonVolatile Organic Carbon (VOC)
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For a given loading on a rectangular plain concrete beam with an overall depth of $500 \: mm$, the compressive strain and tensile strain developed at the extreme fibers a...
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A completely mixed dilute suspension of sand particles having diameters $0.25, \: 0.35, \: 0.40, \: 0.45$ and $0.50 \: mm$ are filled in a transparent glass column of dia...
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The maximum number of vehicles observed in any five minute period during the peak hour is $160$. If the total flow in the peak hour is $1000$ vehicles, the five minute pe...
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A circular duct carrying water gradually contracts from a diameter of $30 \: cm$ to $15 \: cm$. The figure (not drawn to scale) shows the arrangement to differential man...
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A concentrated load of $500 \: kN$ is applied on an elastic half space. The ratio of the increase in vertical normal stress at depths of $2 \: m$ and $4 \: m$ along the p...
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A one-dimensional domain is discretized into $N$ sub-domains of width $\Delta x$ with node numbers $i=0,1,2,3, \dots , N$. If the time scale is discretized in steps of $\...
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A rectangular open channel has a width of $5 \: m$ and a bed slope of $0.001$. For a uniform flow of depth $2 \: m$, the velocity is $2 \: m/s$. The Manning’s roughness c...
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For the following statements:P – The lateral stress in the soil while being tested in an oedometer is always at-rest.Q – For a perfectly rigid strip footing at deeper dep...
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Consider two functions: $x=\psi \text{ ln } \phi$ and $y= \phi \text{ ln } \psi$. Which one of the following is the correct expression for $\frac{\partial \psi}{\partial ...
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The rigid-jointed plane frame QRS shown in the figure is subjected to a load $P$ at the joint $R$. Let the axial deformations in the frame be neglected. If the support $S...
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If the section shown in the figure turns from fully-elastic to fully-plastic, the depth of neural axis (N.A), $\overline{y}$, decreases by$10.75 \: mm$$12.25 \: mm$$13.75...
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Sedimentation basin in a water treatment plant is designed for a flow rate of $0.2 \: m^3/s$. The basin is rectangular with a length of $32 \: m$, width of $8 \:m $, and ...