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GATE ME 2010

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

One of the eigen vector of the matrix $$A = \left[ {\matrix{ 2 & 2 \cr ...
The parabolic are $$y = \sqrt x ,1 \le x \le 2$$ is revolved around the $$x$$-ax...
The function $$y = \left| {2 - 3x} \right|$$
The infinite series $${\,f\left( x \right) = x - {{{x^3}} \over {3!}} + {{{x^5}}...
The value of the integral $$\int\limits_{ - a}^a {{{dx} \over {1 + {x^2}}}} $$
A box contains $$2$$ washers, $$3$$ nuts and $$4$$ bolts. Items are drawn from ...
The blasius equation $$\,{{{d^3}f} \over {d{\eta ^3}}} + {f \over 2}\,{{{d^2}f} ...
The Laplace transform of $$f\left( t \right)$$ is $${1 \over {{s^2}\left( {s + 1...
A lightly loaded full journal bearing has a journal of $$50mm,$$ bush bore of $$...
For the stability of a floating body, under the influence of gravity alone, whic...
Velocity vector of a flow fields is given as $$\overrightarrow V = 2xy\widehat ...
A smooth pipe of diameter $$200$$ $$mm$$ carries water. The pressure in the pipe...
Maximum velocity of a one-dimensional incompressible fully developed viscous flo...
A fin has $$5mm$$ diameter and $$100mm$$ length. The thermal conductivity of fin...
Match the following <p><b>List-$${\rm I}$$</b> <br>$$P.$$ Compressible flow <br...
Annual demand for window frames is $$10000.$$ Each frame costs Rs. $$200$$ and o...
The project activities, precedence relationships and durations are described in ...
The demand and forecast for February are $$12000$$ and $$10275,$$ respectively. ...
Little’s law is relationship between
Simplex method of solving linear programming problem uses
Four jobs are to be processed on a machine as per data listed in the table. <im...
Four jobs are to be processed on a machine as per data listed in the table. <im...
A bracket shown in fig. is rigidly mounted on wall using four rivets. Each rivet...
Tooth interference in an external involute spur gear pair can be reduced by
A band brake having band-width of $$80mm,$$ drum diameter of $$250mm,$$ coeffici...
In a gating system, the ratio $$1:2:4$$ represents
For the case of molding, it is decided to replace a spherical riser of diameter ...
Two steel bars each of diameter $$10mm$$ are coaxially friction welded end to en...
For tool $$A,$$ Taylor’s tool life exponent $$(n)$$ is $$0.45$$ and constant $$(...
In a shear cutting operation, a sheet of $$5mm$$ thickness is cut along a length...
In a shear cutting operation, a sheet of $$5mm$$ thickness is cut along a length...
A shaft has a dimension $$\phi $$ $${35^{\matrix{ { - 0.009} \cr { - 0.0...
A taper hole is inspected using a $$CMM,$$ with a probe of $$2mm$$ diameter. At ...
In a $$CNC$$ program block, $$N002\,\,\,\,G02\,\,\,\,G91\,\,\,\,X40\,\,\,\,Z40....
The state of plane-stress at a point is given by $${\sigma _x}\,\, = 200$$ MPa, ...
Which of the following statements is INCORRECT
There are two points P and Q on a planar rigid body. The relative velocity betwe...
Mobility of a statically indeterminate structure is
For the configuration shown, the angular velocity of link AB is $$10$$ rad/s cou...
Tooth interference in an external involute spur gear pair can be reduced by
For the epicyclic gear arrangement shown in the figure, $${{\omega _2} = 100}$$ ...
The natural frequency of a spring-mass system on earth is $${\omega _n}.$$ The n...
A mass $$m$$ attached to a spring is subjected to a harmonic force as shown in t...
A mono-atomatic ideal gas $$\left( {\gamma = 1.67,} \right.$$ molecular weight$...
One kilogram of water at room temperature is brought into contact with a high te...
Consider the following two processes; <br>$$\left( {\rm I} \right)$$ A heat sou...
In a steam power plant operating on the Rankine cycle, steam enters the turbine ...
In a steam power plant operating on the Rankine cycle, steam enters the turbine ...
A hydraulic turbine develops $$1000$$ $$kW$$ power for a head of $$40$$ $$m.$$ I...
A phenomenon is modeled using $$n$$ dimensional variables with $$k$$ primary dim...

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