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## GATE ME 2012

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

For the matrix $$A = \left[ {\matrix{ 5 &amp; 3 \cr 1 &amp; 3 \cr } ...$$x+2y+z=4, 2x+y+2z=5, x-y+z=1$$<br>The system of algebraic equations given ab... The area enclosed between the straight line$$y=x$$and the parabola$$y = {x^2}...
Consider the function $$f\left( x \right) = \left| x \right|$$ in the interval $... $$\,\mathop {Lim}\limits_{x \to 0} \left( {{{1 - \cos x} \over {{x^2}}}} \right)... At$$x=0,$$the function$$f\left( x \right) = {x^3} + 1$$has A political party orders an arch for the entrance to the ground in which the ann... For the spherical surface$${x^2} + {y^2} + {z^2} = 1,$$the unit outward norma... An automobile plant contracted to buy shock absorbers from two suppliers$$X$$... A box contains$$4$$red balls and$$6$$black balls. Three balls are selected r... Consider the differential equation$$\,\,{x^2}{{{d^2}y} \over {d{x^2}}} + x{{dy}... The inverse Laplace transform of the function $$F\left( s \right) = {1 \over {s\... Two steel truss members, AC and BC, each having cross sectional area of 100 mm<s... Two steel truss members, AC and BC, each having cross sectional area of 100 mm<s... A large tank with a nozzle attached contains three immiscible, inviscid fluids a... An incompressible fluid flows over a flat plate with zero pressure gradient. The... Which one of the following configurations has the highest fin effectiveness? For an opaque surface, the absorptivity$$\left( \alpha \right),$$transmissivi... Consider two infinitely long thin concentric tubes of circular cross section as ... Water$$\left( {{C_p} = 4.18\,kJ/kg.K} \right)$$at$${80^ \circ }C$$enters a ... For a particular project, eight activities are to be carried out. Their relation... For a particular project, eight activities are to be carried out. Their relation... Which one of the following is <b>NOT</b> a decision taken during the aggregate p... A solid circular shaft needs to be designed to transmit a torque of$$50N.m... The homogeneous state of stress for a metal part undergoing plastic deformation ... A fillet welded joint is subjected to transverse loading F as shown in the figur... A force of $$400$$ $$N$$ is applied to the brake drum of $$0.5$$ $$m$$ diameter ... A solid cylinder of diameter $$100$$ $$mm$$ and height $$50$$ $$mm$$ is forged b... In a single pass rolling process using $$410mm$$ diameter steel rollers, a strip... In a $$DC$$ $$arc$$ welding operating, the length characteristic was obtained as... In a single pass drilling operation, a through hole of $$15$$ $$mm$$ diameter is... Match the following metal forming processes with their associated stresses in th... Calculate the punch size in $$mm,$$ for a circular blanking operation for which ... In an interchangeable assembly, shafts of size $${25.000^{\matrix{ { + 0.040}... A$$CNC$$vertical milling machine has to cut a straight slot of$$10mm$$w... A solid steel cube constrained on all six faces is heated so that the temperatur... A$$200$$mm long, stress free rod at room temperature is held between two immov... The state of stress at a point under plane stress condition is <br>$${\sigma _{... A solid circular shaft needs to be designed to transmit a torque of 50N.m. If th... A cantilever beam of length $$L$$ is subjected to a moment $$M$$ at the free end... For a long slender column of uniform cross section, the ratio of critical buckli... A thin walled spherical shell is subjected to an internal pressure. If the radiu... A solid disc of radius $$r$$ rolls without slipping on a horizontal floor with a... In the mechanism given below, if the angular velocity of the eccentric circular ... The following are the data for two crossed helical gears used for speed reductio... A circular solid disc of uniform thickness $$20mm,$$ radius $$200mm$$ and $$mass... A concentrated mass$$m$$is attached at the centre of a rod of length$$2L$$as... Steam enters an adiabatic turbine operating at steady state with an enthalpy of ... Air enters an adiabatic nozzle at$$300kPa,500K$$with a velocity... Air enters an adiabatic nozzle at$$300kPa,500K$$with a velocity... An ideal gas of mass$$m$$and temperature$${T_1}$\$ undergoes a reversible isot...

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