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## GATE ME 2014 Set 3

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

Consider a $$3 \times 3$$ real symmetric matrix $$S$$ such that two of its eigen...
If a function is continuous at a point,
Divergence of the vector field $${x^2}z\widehat i + xy\widehat j - y{z^2}\wideha... A group consists of equal number of men and women. Of this group$$20$$% of the ... A machine produces$$0, 1$$or$$2$$defective pieces in a day with associated p... Consider two solutions$$\,x\left( t \right)\,\,\,\, = \,\,\,{x_1}\left( t \righ...
The definite integral $$\,\int\limits_1^3 {{1 \over x}} dx\,\,$$ is evaluated us...
The real root of the equation $$5x-2cosx=0$$ (up to two decimal accuracy) is
An analytic function of a complex variable $$z = x + iy$$ is expressed as <br>\$...
A mass m<sub>1</sub> of 100kg travelling with a uniform velocity of 5 m/s along ...
A body of mass (m) 10kg is initially stationary on a 45° inclined plane as shown...
A four-wheel vehicle of mass 1000kg moves uniformly in a straight line with the ...
An annular disc has a mass m, inner radius R and outer radius $$2R$$. The disc r...
A siphon is used to drain water from a large tank as shown in the figure below. ...
A fluid of dynamic viscosity $$2 \times {10^{ - 5}}\,\,kg/m.s$$ and density $$1k... Consider the turbulent flow of a fluid through a circular pipe of diameter,$$D....
Consider a long cylindrical tube of inner and outer radii, $${r_i}$$ and $${r_0}... Heat transfer through a composite wall is shown in figure. Both the sections of ... A solid sphere of radius$${r_1} = 20\,\,mm$$is placed concentrically inside a h... A double-pipe counter-flow heat exchanger transfers heat between two water strea... A manufacturer can produce$$12000$$bearings per day. The manufacturer receive... Consider the given project network, where numbers along various activities repre... The actual sales of a product in different months of a particular year are given... Consider an objective function$$Z\left( {{x_1},{x_2}} \right) = 3{x_1} + 9{x_2}...
Which one of the following is <b>NOT</b> correct?
A rotating steel shaft is supported at the ends. It is subjected to a point load...
A drum brake is shown in the figure. The drum is rotating in anticlockwise direc...
Match the casting defects (Group A) with the probable causes (Group B): <img ...
The hot tearing in a metal casting is due to
A cylindrical blind riser with diameter $$d$$ and height $$h,$$ is placed on the...
For spot welding of two steel sheets (base metal) each of $$3$$ $$mm$$ thickness...
A straight turning operation is carried out using a single point cutting tool on...
Cutting tool is much harder than the work piece. Yet the tool wears out during t...
Which pair of following statement is correct for orthogonal cutting using a sing...
The diameter of a recessed ring was measured by using two spherical balls of dia...
The stress-strain curve for mild steel is shown in the figure given below. Choos...
Consider a simply supported beam of length $$50$$h, with a rectangular cross-sec...
Two solid circular shafts of $${{R_1}}$$ and $${{R_2}}$$ are subjected to same t...
A force $$P$$ is applied at a distance $$x$$ from the end of the beam as shown i...
Consider a single degree-of-freedom system with viscous damping excited by a har...
The damping ratio of a single degree of freedom spring-mass-damper system with m...
A mass-spring-dashpot system with mass m = 10 kg, spring constant k = 6250 N/m i...
A certain amount of an ideal gas is initially at a pressure $${p_1}$$ and temper...
Which one of the following pairs of equations describes an irreversible heat eng...
An amount of $$100$$ $$kW$$ of heat is transferred through a wall in steady stat...
A source at temperature of $$500K$$ provides $$1000$$ $$kJ$$ of heat. The temper...
At the inlet of an axial impulse turbine rotor, the blade linear speed is 25 m/s...

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