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GATE ME 2006

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

Eigen values of a matrix $$S = \left[ {\matrix{ 3 & 2 \cr 2 & 3 ...
Multiplication of matrices $$E$$ and $$F$$ is $$G.$$ Matrices $$E$$ and $$G$$ ar...
For $$\,\,\,{{{d^2}y} \over {d{x^2}}} + 4{{dy} \over {dx}} + 3y = 3{e^{2x}},\,\,...
The solution of the differential equation $${{dy} \over {dx}} + 2xy = {e^{ - {x^...
If point A is in equilibrium under the action of the applied forces, the values ...
For a Newtonian fluid:
A two-dimensional flow field has velocities along the $$x$$ and $$y$$ directions...
In a two-dimensional velocity field with velocities $$u$$ and $$v$$ along $$x$$ ...
The velocity profile in fully developed laminar flow in a pipe of diameter $$D$$...
A siphon draws water from a reservoir and discharges it out at atmospheric press...
A smooth flat plate with a sharp leading edge is placed along a gas stream flowi...
A smooth flat plate with a sharp leading edge is placed along a gas stream flowi...
In a composite slab, the temperature at the interface <b>(T<sub>inter</sub>)</b>...
With an increase in the thickness of insulation around a circular pipe, heat los...
A $$100$$ $$W$$ electric bulb was switched on in a $$2.5 \times 3 \times 3m$$ si...
Consider the following data for an item. <br>Annual demand: $$2500$$ units per ...
A stockist wishes to optimize the number of perishable items he needs to stock i...
Consider a $$PERT$$ network for a project involving six tasks ($$a$$ to $$f$$) <...
Consider a $$PERT$$ network for a project involving six tasks ($$a$$ to $$f$$) <...
The table gives details of an assembly line. <img class="question-image" src="ht...
The number of customers arriving at a railway reservation counter is Poisson dis...
A firm is required to procure three items $$(P, Q$$ and $$R).$$ The prices quote...
A cylindrical shafts is subjected to an alternating stress of $$100MPa.$$ Fatigu...
A $$60mm$$ long and $$6mm$$ thick fillet weld carries a steady load of $$15kN$$...
Twenty degree full depth involute profiled $$19$$-tooth pinion and $$37$$-tooth ...
A disk clutch is required to transmit $$5$$ $$kW$$ at $$2000$$ $$rpm$$ the disk ...
An expendable pattern is used in
In a sand casting operation, the total liquid head is maintained constant such t...
A $$4$$ $$mm$$ thick sheet is rolled with $$300$$ $$mm$$ diameter rolls to reduc...
In a wire drawing operation, diameter of a steel wire is reduced from $$10$$ $$m...
In arc welding process, the voltage and current are $$25V$$ and $$300A$$ respect...
In an orthogonal machining operation: <br>$$\,\,\,\,\,\,\,\,\,\,$$Uncut thicknes...
In an orthogonal machining operation: <br>$$\,\,\,\,\,\,\,\,\,\,$$Uncut thicknes...
In an orthogonal machining operation: <br>$$\,\,\,\,\,\,\,\,\,\,$$Uncut thicknes...
If each abrasive grain is viewed as a cutting tool, then which of the following ...
Match the items in column $${\rm I}$$ and $${\rm I}$$ $${\rm I}$$ <img class="qu...
Ring gage is used to measure
$$NC$$ contouring is an example of
A steel bar of 40 mm × 40 mm square cross-section is subjected to an axial compr...
A bar having a cross-sectional area of 700 mm<sup>2</sup> is subjected to axial ...
A simply supported beam of span length $$6$$m and $$75$$ mm diameter carries a u...
A simply supported beam of span length $$6$$m and $$75$$ mm diameter carries a u...
For a circular shaft of diameter $$'d'$$ subjected to torque $$T,$$ the maximum ...
A pin-ended column of length $$L,$$ modulus of elasticity $$E$$ and second momen...
For a four bar linkage in Toggle position, the value of mechanical advantage is ...
The number of inversions for a slider crank mechanism is
Match the items in column $$I$$ and $$II$$ <p><b>List $$I$$</b> <br>$$P.$$ Highe...
In a four-bar linkage, $$S$$ denotes the shortest link length, $$L$$ is the long...
Match the items in columns $$I$$ and $$II$$ <p><b>Column $$I$$</b> <br>$$P.$$ Ad...
A planetary gear train has four gears and one carrier. Angular velocities of the...
A planetary gear train has four gears and one carrier. Angular velocities of the...
If $${C_f}$$ is the coefficient of speed fluctuation of a flywheel then the rati...
The differential equation governing the vibrating system is <img class="questio...
A machine of $$250$$ kg mass is supported on springs of total stiffness $$100$$ ...
A vibratory system consists of a mass $$12.5$$ kg, a spring of stiffness $$1000$...
A vibratory system consists of a mass $$12.5$$ kg, a spring of stiffness $$1000$...
Given below is an extract from steam tables. <img class="question-image" src="ht...
Match items from groups, $${\rm I},$$ $${\rm II},$$ $${\rm III},$$ $${\rm IV}$$ ...
A football was inflated to a gauge pressure of $$1$$ bar when the ambient temper...
A football was inflated to a gauge pressure of $$1$$ bar when the ambient temper...
A $$100$$ $$W$$ electric bulb was switched on in a $$2.5\,m \times 3m \times 3m...
Determine the correctness or otherwise of the following Assertion $$(a)$$ and th...
<b>Assertion (A):</b> Condenser is an essential equipment in a steam power plant...
In a Pelton wheel, the bucket peripheral speed is $$10$$ $$m/s,$$ the water jet ...
A large hydraulic turbine is to generate $$300$$ $$kW$$ at $$1000$$ $$rpm$$ unde...
A horizontal shaft centrifugal pump lifts ware at 65°C. The suction nozzle is on...

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