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## GATE ME 2016 Set 1

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

The solution to the system of equations is $$\left[ {\matrix{ 2 &amp; 5 \cr ... Consider the function$$f\left( x \right) = 2{x^3} - 3{x^2}\,\,$$in the domain ... Consider a Poisson distribution for the tossing of a biased coin. The mean for t... If$$y = f(x)$$satiesfies the boundary value problem$$\,\,y''\,\,\, + \,\,\,9y...
Solve the equation $$x = 10\,\cos \,\left( x \right)$$ using the Newton-Raphson ...
Gauss-Seidel method is used to solve the following equations (as per the given o...
The value of the integral $$\int\limits_{ - \infty }^\infty {{{\sin x} \over {{...$$f\left( z \right) = u\left( {x,y} \right) + i\,\,\,\,v\left( {x,y} \right)$$... A rigid ball of weight$$100N$$is suspended with the help of a string. The... A point mass$$M$$is released from rest and slides down a spherical bowl (of ra... A block of mass m rests on an inclined plane and is attached by a string to the ... A two-member truss$$PQR$$is supporting a load W. The axial forces in members ... For a floating body, buoyant force acts at the An inverted U-tube manometer is used to measure the pressure difference between ... The instantaneous stream-wise velocity of a turbulent flow is given as follows: ... A steady laminar boundary layer is formed over a flat plate as shown in the figu... A plastic sleeve of outer radius$${r_0} = 1\,\,mm$$covers a wire (radius$$r =...
A steel ball of $$10$$ $$mm$$ diameter at $$1000$$ $$K$$ is required to be coole...
An infinitely long furnace of $$0.5m \times 0.4m$$ cross-section is shown in the...
A fluid (Prandtl number, $$Pr=1$$) at $$500$$ $$K$$ flows over a flat plate of ... The annual demand for an item is $$10,000$$ units. The unit cost is Rs. $$100$$ ... Maximize $$\,\,\,\,Z = 15{x_1} + 20{x_2}$$ <br>Subject to <br>\eqalign{ &am... The principal stresses at a point inside a solid object are{\sigma _1} = 100\... The part of a gating system which regulates the rate of pouring of molten metal ... A cylindrical job with diameter of $$200$$ $$mm$$ and height of $$100$$ $$mm$$ i... Heat is removed from a molten metal of mass $$2$$ $$kg$$ at a constant rate of...
A $$300$$ $$mm$$ thick slab is being cold rolled ussing roll of $$600$$ $$mm$$ d...
A $$300$$ $$mm$$ thick slab is being cold rolled using roll of $$600$$ $$mm$$ di...
Under optimal conditions of the process the temperatures experienced by a copper...
In an orthogonal cutting process the tool used has rake angle of zero degree. Th...
The too life equation for $$HSS$$ tool is $$V{T^{0.14}}\,\,{f^{0.7}}\,\,{d^{0.4}... Match the following <img class="question-image" src="https://imagex.cdn.examgoa... The figure below represents a triangle$$PQR$$with initial coordinates of the v... A horizontal bar with a constant cross-section is subjected to loading as shown ... A hypothetical engineering stress-strain curve shown in the figure has three str... The figure shows cross-section of a beam subjected to bending. The area moment o... A simply-supported beam of length$$3L$$is subjected to the loading shown in th... The spring constant of a helical compression spring <b>DOES NOT</b> depend on The cross sections of two hollow bars made of the same material are concentric c... A cantilever beam having square cross-section of side$$a$$is subjected to an e... In the gear train shown, gear 3 is carried on arm 5. Gear 3 meshes with gear 2 a... A single degree of freedom spring mass system with viscous damping has a spring ... A solid disc with radius a is connected to a spring at a point$$d above the ...
Which of the following statements are TRUE with respect to heat and work? <br>\$...
An ideal gas undergoes a reversible process in which the pressure varies linearl...
The INCORRECT statement about regeneration in vapor power cycle is that
In a steam power plant operating on an ideal Rankine cycle, super-heated steam e...
Consider two hydraulic turbines having identical specific speed and effective he...

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