Recent questions tagged gate2020-ce-1

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It is a common criticism that most of the academicians live in their ________ , so, they are not aware of their real life challenges.homesivory towersglass palacesbig fla...
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His hunger for reading is insatiable. He reads indiscriminately. He is most certainly a/an ______ reader.all-roundprecociousvoraciouswise
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Select the word that fits the analogy:Fuse : Fusion :: Use : ______UsageUserUsesUsion
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If $0,1,2,\dots,7,8,9$ are coded as $O,P,Q,\dots,V,W,X$, then $45$ will be coded as ______.$TS$$ST$$SS$$SU$
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The sum of two positive numbers is $100$. After subtracting $5$ from each number, the product of the resulting numbers is $0$. One of the original numbers is ______.$80$...
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The American psychologist Howard Gardner expounds that human intelligence can be subcategorized into multiple kinds, in such a way that individuals differ with respect to...
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Five friends $P,Q,R,S$ and $T$ went camping. At night, they had to sleep in a row inside the tent. $P,Q$ and $T$ refused to sleep next to $R$ since he snored loudly. $P$ ...
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Insert seven numbers between $2$ and $34$, such that the resulting sequence including $2$ and $34$ is an arithmetic progression. The sum of these inserted seven numbers...
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The unit’s place in $26591749^{110016}$ is ______.$1$$3$$6$$9$
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The total expenditure of a family, on different activities in a month, is shown in the pie-chart. The extra money spent on education as compared to transport (in percent)...
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In the following partial differential equation, $\theta$ is a function of $t$ and $z$, and $D$ and $K$ are functions of $\theta$$$D(\theta)\frac{\partial^2\theta}{\partia...
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The value of $\displaystyle{} \lim_{x\to\infty}\dfrac{x^2-5x+4}{4x^2+2x}$ is$0 \\$$\dfrac{1}{4} \\$$\dfrac{1}{2} \\$$1$
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The true value of $\ln(2)$ is $0.69$. If the value of $\ln(2)$ is obtained by linear interpolation between $\ln(1)$ and $\ln(6)$, the percentage of absolute error (round ...
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The area of an ellipse represented by an equation $\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1$ is$\dfrac{\pi ab}{4} \\$$\dfrac{\pi ab}{2} \\$$\pi ab \\$$\dfrac{4\pi ab}{3}$
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Consider the planar truss shown in the figure (not drawn to the scale)Neglecting self weight of the numbers, the number of zero-force members in the truss under the actio...
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A reinforcing steel bar, partially embedded in concrete, is subjected to a tensile force $P$. The figure that appropriately represents the distribution of the magnitude o...
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In a two-dimensional stress analysis, the state of stress at a point $P$ is $$\begin{bmatrix} \sigma \end{bmatrix} = \begin{bmatrix}\sigma_{xx} &\tau_{xy} \\ \tau_{xy} &\...
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During the process of hydration of cement, due to increase in Dicalcium Silicate $(C_2S)$ content in cement clinker, the heat of hydrationincreasesdecreasesinitially decr...
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The Los Angeles test for stone aggregates is used to examineabrasion resistancecrushing strengthsoundnessspecific gravity
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Which one of the following statements is. $\textbf{NOT}$ correct?A clay deposit with a liquidity index greater than unity is in a state of plastic consistency.The cohesio...
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In a soil investigation work at a site, Standard Penetration Test (SPT) was conducted at every $1.5\:m$ interval upto $30\: m$ depth. At $3\:m$ depth, the observed number...
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Velocity of flow is proportional to the first power of hydraulic gradient in Darcy’s law. This law is applicable to laminar flow in porous mediatransitional flow in porou...
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A body floating in a liquid is in a stable state of equilibrium if its metacentre lies above its centre of gravitymetacentre lies below its centre of gravitymetacentre co...
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Uniform flow with velocity $U$ makes an angle $\theta$ with $y$-axis, as shown in the figureThe velocity potential $(\phi)$, is $\pm U(x\sin\theta+y\cos\theta)$$\pm U(y\s...
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The data for an agricultural field for a specific month are given below:$\begin{array}{ll}\text{Pan Evaporation} &=\:100\:mm\\ \text{Effective Rainfall} &=\:20\:mm\;\te...
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During chlorination process, aqueous (aq) chlorine reacts rapidly with water to form $Cl^-,HOCl$, and $H^+$ as shown below $$Cl_2(aq)+H_2O\:{\large\rightleftharpoons}\:HO...
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An amount of $35.67\:mg\:HCl$ is added to distilled water and the total solution volume is made to one litre. The atomic weights of $H$ and $Cl$ are $1$ and $35.5$, resp...
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The probability that a $50$ year flood may $\textbf{NOT}$ occur at all during $25$ years life of a project (round off to two decimal places), is _______.
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A planar elastic structure is subjected to uniformly distributed load, as shown in the figure (not drawn to the scale)Neglecting self-weight, the maximum bending moment g...
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In an urban area, a median is provided to separate the opposing stream of traffic. As per $IRC:86-1983$, the desirable minimum width (in $m$, expressed as integer) of the...
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A road in a hilly terrain is to be laid at a gradient of $4.5\%$. A horizontal curve of radius $100\:m$ is laid at a location on this road. Gradient needs to be eased due...
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In a drained triaxial compression test, a sample of sand fails at deviator stress of $150\:kPa$ under confining pressure of $50\:kPa$. The angle of internal friction (in ...
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A fully submerged infinite sandy slope has an inclination of $30^\circ{}$ with the horizontal. The saturated unit weight and effective angle of internal friction of sand ...
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A $4\:m$ wide rectangular channel carries $6\:m^3/s$ of water. The Manning’s ‘$n$’ of the open channel is $0.02$. Considering $g=9.81\:m/s^2$, the critical velocity of fl...
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A river has a flow of $1000$ million litres per day (MLD), $BOD_5$ of $5\:mg/litre$ and Dissolved Oxygen (DO) level of $8\:mg/litre$ before receiving the wastewater disch...
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A continuous function $f(x)$ is defined. If the third derivative at $x_i$ is to be computed by using the fourth order central finite-divided-difference scheme (with step ...
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Distributed load(s) of $50\:kN/m$ may occupy position(s) (either continuously or in patches) on the girder $\textbf{PQRST}$ as shown in the figure (not drawn to the scale...
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A rigid weightless platform $\textbf{PQRS}$ shown in the figure ( not drawn to the scale) can slide freely in the vertical direction. The platform is held in position by ...
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A cantilever beam $\textbf{PQ}$ of uniform flexural rigidity (EI) is subjected to a concentrated moment M at $\textbf{R}$ as shown in the figure The deflection at the fre...
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A dowel bar is placed at a contraction joint. When contraction occurs, the concrete slab cracks at predetermined location(s). Identify the arrangement, which shows the co...