GATE CE 2017 Set 1

## GATE CE

The activity details of a project are given below:
The estimated minimum time (in days) for the completion of the proje

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Consider the matrix $$\left[ {\matrix{
5 & { - 1} \cr
4 & 1 \cr
} } \right].$$ Which one of the foll

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The matrix $$P$$ is the inverse of a matrix $$Q.$$ If $${\rm I}$$ denotes the identity matrix, which one of the followin

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$$\mathop {Lim}\limits_{x \to 0} \left( {{{\tan x} \over {{x^2} - x}}} \right)$$ is equal to _________.

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Let $$x$$ be a continuous variable defined over the interval $$\left( { - \infty ,\infty } \right)$$, and $$f\left( x \r

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The number of parameters in the univariate exponential and Gaussian distributions, respectively, are

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For the function $$\,f\left( x \right) = a + bx,0 \le x \le 1,\,\,$$ to be a valid probability density function, which o

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The solution of the equation $$\,{{dQ} \over {dt}} + Q = 1$$ with $$Q=0$$ at $$t=0$$ is

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Consider the following second $$-$$order differential equation : $$\,y''\,\, - 4y' + 3y = 2t - 3{t^2}\,\,\,$$
The part

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Consider the following partial differential equation: $$\,\,3{{{\partial ^2}\phi } \over {\partial {x^2}}} + B{{{\parti

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Consider the equation $${{du} \over {dt}} = 3{t^2} + 1$$ with $$u=0$$ at $$t=0.$$ This is numerically solved by using th

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A particle of mass 2 kg is traveling at a velocity of 1.5 m/s. A force f(t)=3t2 (in N) is applied
to it in the direction

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According to $$IS$$ $$456$$- $$2000,$$ which one of the following statements about the depth of natural axis $${x_u},\,\

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A pre-tensioned rectangular concrete beam $$150$$ $$mm$$ wide and $$300$$ $$mm$$ depth is prestressed with three straigh

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A column is subjected to a load through a bracket as shown in figure
The resultant force (in $$kN,$$ up to one decima

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An elastic bar of length L, uniform cross sectional area A, coefficient of thermal expansion
a, and Young’s modulus E is

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A simply supported beam is subjected to a uniformly distributed load. Which one of the following statements is true?

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Consider two axially loaded columns, namely. $$1$$ and $$2,$$ made of a linear elastic material with Young's modulus $$2

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Consider the stepped bar made with a linear elastic material and subjected to an axial load of $$1$$ $$kN$$, as shown in

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A planar truss tower structure is shown in the figure:
Consider the following statements about the external and interna

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Consider the beam $$ABCD$$ shown in figure
For a moving concentrated load of $$50$$ $$kN$$ on the beam, the magnitude

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The figure shows a two $$-$$hinged parabolic arch of span $$L$$ subjected to a uniformly distributed load of intensity $

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The value of $$M$$ in the beam $$ABC$$ shown in the figure is such that the joint $$B$$ does not rotate.
The value of

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A super-elevation e is provided on a circular horizontal curve such that a vehicle can be
stopped on the curve without s

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