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GATE ME 2014 Set 1

Exam Held on Thu Jan 01 1970 00:00:00 GMT+0000 (Coordinated Universal Time)
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GATE ME

Given that the determinant of the matrix $$\left[ {\matrix{ 1 & 3 & 0...
Which one of the following describes the relationship among the three vectors, ...
$$\mathop {Lt}\limits_{x \to 0} {{x - \sin x} \over {1 - \cos x}}$$ is
The integral $$\,\,\oint\limits_C {\left( {ydx - xdy} \right)\,\,} $$ is evaluat...
In the following table, $$x$$ is a discrete random variable and $$p(x)$$ is the...
The matrix form of the linear system $${{dx} \over {dt}} = 3x - 5y$$ and $$\,{{d...
If $$\,y = f\left( x \right)\,\,$$ is the solution of $${{{d^2}y} \over {d{x^2...
Using the trapezoidal rule, and dividing the interval of integration into three ...
The argument of the complex number $${{1 + i} \over {1 - i}},$$ where $$i = \sqr...
A circular object of radius r rolls without slipping on a horizontal level floor...
A block weighing 200N is in contact with a level plane whose coefficients of sta...
A block R of mass 100 kg is placed on a block S of mass 150 kg as shown in the f...
A rigid link PQ of length 2 m rotates about the pinned end Q with a constant ang...
In a simple concentric shaft-bearing arrangement, the lubricant flows in the $$2...
For a completely submerged body with center of gravity $$'G'$$ and center of buo...
An ideal water jet with volume flow rate of $$0.05{m^3}/s$$ strikes a flat plane...
Water flows through a pipe having an inner radius of $$10$$ $$mm$$ at the rate o...
For a fully developed flow of water in a pipe having diameter $$10$$ $$cm,$$ vel...
Consider one dimensional steady state heat conduction across a wall (as shown in...
The non-dimensional fluid temperature profile near the surface of a convectively...
In exponential smoothening method, which one of the following is true?
The jobs arrive at a facility, for service, in a random manner. The probability ...
Jobs arrive at a facility at an average rate of $$5$$ in an $$8$$ hour shift. Th...
The state of stress at a point is given by $$\,\,{\sigma _x} = - 6\,MPa,\,\,{\s...
A pair of spur gears with module $$5$$ $$mm$$ and a center distance of $$450mm$$...
A hydrodynamic journal bearing is subject to $$2000$$ $$N$$ load at a rotational...
An aluminium alloy (density $$2600$$ $$kg/{m^3}$$ ) casting is to be produced. A...
A metal rod of initial length $${L_0}$$ is subjected to a drawing process. The l...
The major difficulty during welding of aluminium is due to its
In solid-state welding, the contamination layers between the surfaces to be weld...
If the Taylor's tool life exponent $$n$$ is $$0.2,$$ and the tool changing time ...
The main cutting force acting on a tool during the turning (orthogonal cutting) ...
During pure orthogonal turning operation of a hollow cylindrical pipe, it is fou...
Which one of the following instruments is widely used to check and calibrate geo...
For machining a rectangular island represented by coordinates <br>$$P(0,0), Q(1...
For the given assembly : $$25$$ $$H7/g8,$$ match Group $$A$$ with Group $$B$$ <i...
A metallic rod of $$500$$mm length and $$50$$mm diameter, when subjected to a te...
A circular rod of length $$ā€˜Lā€™$$ and area of cross-section $$ā€˜Aā€™$$ has a modulus...
A metallic rod of $$500$$mm length and $$50$$mm diameter, when subjected to a te...
Consider a cantilever beam, having negligible mass and uniform flexural rigidit...
A rigid uniform rod $$AB$$ of length $$L$$ and mass $$m$$ is hinged at $$C$$ suc...
$$1.5$$ $$kg$$ of water is in saturated liquid state at $$2$$ bar <br>$$\left( ...
A reversible heat engine receives $$2$$ $$kJ$$ of heat from a reservoir at $$100...
The maximum theoretical work obtainable, when a system interacts to equilibrium ...
In a power plant, water (density $$ = 1000\,\,kg/{m^3}$$ ) is pumped from $$80$$...
An ideal reheat Rankine cycle operates between the pressure limits of $$10$$ $$k...

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