Recent questions tagged gate2020-ce-2

5 5 votes
2 answers 2 answers
Rescue teams deployed _______disaster hit areas combat_______a lot of difficulties to save the people.with, atin, withwith, withto, to
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Select the most appropriate word that can replace the underlined word without changing the meaning of the sentence:Now-a-days, most children have a tendency to belittle t...
2 2 votes
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Select the word that fits the analogy:Partial : Impartial :: Popular: _______ImpopularDispopularMispopularUnpopular
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After the inauguration of the new building, the Head of the Department (HoD) collated faculty preferences for office space. $P$ wanted a room adjacent to the lab. $Q$ wan...
6 6 votes
2 answers 2 answers
If $f(x) = x^2$ for each $x\in (-\infty,\infty)$, then $\large \dfrac{f\left(f\left(f(x)\right)\right)}{f(x)}$ is equal to _______.$f(x)$$(f(x))^2$$(f(x))^3$$(f(x))^4$
3 3 votes
2 answers 2 answers
Nominal interest rate is defined as the amount paid by the borrower to the lender for using the borrowed amount for a specific period of time. Real interest rate calculat...
14 14 votes
4 answers 4 answers
For the year $2019$, which of the previous year’s calendar can be used?$2011$$2012$$2013$$2014$
6 6 votes
4 answers 4 answers
The ratio of ‘the sum of the odd positive integers from $1$ to $100$’ to ‘the sum of the even positive integers from $150$ to $200$’ is ________.$45:95$$1:2$$50:91$$1:1$
3 3 votes
4 answers 4 answers
In a school of $1000$ students, $300$ students play chess and $600$ students play football. If $50$ students play both chess and football, the number of students who play...
7 7 votes
3 answers 3 answers
The monthly distribution of $9$ Watt LED bulbs sold by two firms $X$ and $Y$ from January to June $2018$ is shown in the pie-chart and the corresponding table. If the tot...
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The ordinary differential equation $\dfrac{d^2u}{dx^2}$$- 2x^2u +\sin x = 0$ islinear and homogeneouslinear and nonhomogeneousnonlinear and homogeneousnonlinear and nonho...
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The value of $$\lim_{x\to\infty}\dfrac{\sqrt{9x^2+2020}}{x+7}\:\text{is}$$$\dfrac{7}{9}$$1$$3$indeterminable
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The integral $\int\limits_{0}^{1} (5x^3 + 4x^2 + 3x + 2) dx$ is estimated numerically using three alternative methods namely the rectangular,trapezoidal and Simpson’s rul...
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The following partial differential equation is defined for $u:u (x,y)$$$\dfrac{\partial u}{\partial y}=\dfrac{\partial^2 u}{\partial x^2}; \space y\geq0; \space x_1\leq x...
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The ratio of the plastic moment capacity of a beam section to its yield moment capacity is termed asaspect ratioload factorshape factorslenderness ratio
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The state of stress represented by Mohr’s circle shown in the figure isuniaxial tensionbiaxial tension of equal magnitudehydrostatic stresspure shear
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A weightless cantilever beam of span L is loaded as shown in the figure. For the entire span of the beam, the material properties are identical and the cross section is r...
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As per $IS\:456:2000$, the $pH$ value of water for concrete mix shall NOT be less than$4.5$$5.0$$5.5$$6.0$
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The traffic starts discharging from an approach at an intersection with the signal turning green. The constant headway considered from the fourth or fifth headway positio...
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Soil deposit formed due to transportation by wind is termed asaeolian depositalluvial depositestuarine depositlacustrine deposit
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A sample of $500\:g$ dry sand, when poured into a $2$ litre capacity cylinder which is partially filled with water, displaces $188\:cm^3$ of water. The density of water i...
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Muskingum method is used inhydrologic reservoir routinghydrologic channel routinghydraulic channel routinghydraulic reservoir routing
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Superpassage is a canal cross-drainage structure in whichnatural stream water flows with free surface below a canalnatural stream water flows under pressure below a canal...
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A triangular direct runoff hydrograph due to a storm has a time base of $90$ hours. The peak flow of $60\: m^3/s$ occurs at $20$ hours from the start of the storm. The ar...
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The velocity components in the $x$ and $y$ directions for an incompressible flow are given as $u = (-5 + 6x)$ and $v = -(9+6y)$, respectively. The equation of the streaml...
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The relationship between oxygen consumption and equivalent biodegradable organic removal (i.e.,BOD) in a closed container with respect to time is shown in the figureAssum...
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A gas contains two types of suspended particles having average sizes of $2\: \mu m$ and $50\: \mu m$. Amongst the options given below, the most suitable pollution control...
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A fair (unbiased) coin is tossed $15$ times. The probability of getting exactly $8$ Heads (round off to three decimal places), is _______.
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The maximum applied load on a cylindrical concrete specimen of diameter $150\: mm$ and length $300\: mm$ tested as per the split tensile strength test guidelines of $IS\:...
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For an axle load of $15$ tonne on a road, the Vehicle Damage Factor (round off to two decimal places), in terms of the standard axle load of $8$ tonne, is __________.
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$24$-$h$ traffic count at a road section was observed to be $1000$ vehicles on a Tuesday in the month of July. If daily adjustment factor for Tuesday is $1.21$ and monthl...
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A soil has dry unit weight of $15.5\: kN/m^3$, specific gravity of $2.65$ and degree of saturation of $72\: %.$ Considering the unit weight of water as $10\: kN/m^3$, the...
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A one-dimensional consolidation test is carried out on a standard $19\: mm$ thick clay sample. The oedometer’s deflection gauge indicates a reading of $2.1\: mm$, just be...
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Velocity distribution in a boundary layer is given by $\dfrac{u}{U_\infty} = \sin\large \left( \dfrac{\pi}{2}\dfrac{y}{\delta} \right)$, where $u$ is the velocity at vert...
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Two identically sized primary settling tanks receive water for $\text{Type-I}$ settling (discrete particles in dilute suspension) under laminar flow conditions. The Surfa...
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An ordinary differential equation is given below$$6\dfrac{d^2y}{dx^2}+\frac{dy}{dx}-y=0$$The general solution of the above equation (with constants $C_1$ and $C_2$), is$y...
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A $4 \times 4$ matrix $[P]$ is given below$$[P] = \begin{bmatrix}0 &1 &3 &0 \\-2 &3 &0 &4 \\0 &0 &6 &1 \\0 &0 &1 &6 \end{bmatrix}$$The eigen values of $[P]$ are $0, 3, 6,...
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Joints $I,J,K,L,Q$ and $M$ of the frame shown in the figure (not drawn to the scale) are pins. Continuous members $IQ$ and $LJ$ are connected through a pin at $N$. Contin...
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$\text{Group-I}$ gives a list of test methods for evaluating properties of aggregates. $\text{Group-II}$ gives the list of properties to be evaluated.$$\begin{array}{ll}\...
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For the hottest month of the year at the proposed airport site, the monthly mean of the average daily temperature is $39^{\circ}C$. The monthly mean of the maximum daily ...