GATE PI 2015
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GATE PI

In a metal casting process, molten copper alloy is poured into a sand mould. The level of molten metal in the pouring ba
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Match the items in the first column to their functions in the second column.
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The solution to $$\,6y{y^1} - 25x = 0\,\,$$ represents a
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The curve $$\,\,y = {x^4}\,\,$$
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The function $$f\left( x \right) = {x^2} = x + x + x + ....x$$ times, is defined
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The value of $$\mathop {\lim }\limits_{\left( {x,y} \right) \to \left( {0,0} \right)} {{{x^2} - xy} \over {\sqrt x -
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A product is an assemble of $$5$$ different components. The product can be sequentially assembled in two possible ways.
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A coin is tossed thrice. Let $$X$$ be the event that head occurs in each of the first two tosses. Let $$Y$$ be the event
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The solution to $$\,\,{x^2}{y^{11}} + x{y^1} - y = 0\,\,$$ is
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In numerical integration using Simpson's rule, the approximating function in the interval is a
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In a vertical piston-cylinder arrangement the force applied to the piston, pushes water through a nozzle as shown in the
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In a $$1$$ $$m$$ thick wall, the temperature distribution at a given instant is $$T\left( x \right) = {c_0} + {c_1}x +
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A line balancing problem is solved in the context of
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A manufacturing line requires $$7.2$$ minutes to make a product. The line has six workstations arranged as per the requi
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Arrival of machines for repair in a maintenance shop follows a Poisson distribution at a rate of one per $$18$$ hours. T
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Two aluminium alloy plates each $$10$$ $$mm$$ thick and $$1$$ $$m$$ long are welded without crowning by multipass tungst
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In drilling operation, a twist-drill of $$30$$ $$mm$$ diameter with point angle of $$118$$ degrees is used. If the $$CNC
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The angle of a twist drill that determines its rake angle is
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During turning of mild steel work material, the maximum temperature is observed at
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Built-up edge formation decreases under the conditions listed below EXCEPT
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In an orthogonal machining experiment carried out using a cutting tool with zero degree rake angle, the measured cutting
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Which one of the following statements related to grinding process is INCORRECT?
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In a slab milling operation, a cutter of $$75$$ $$mm$$ diameter with sufficient width is used to remove $$5$$ $$mm$$ thi
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In Computer Aided Process Planning, determination of process sequence for manufacture of any part design without predefi
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Match the linear transformation matrices listed in the first column to their interpretations in the second column.
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In a Flexible manufacturing system, the Automated Guided Vehicles $$(AGV)$$ move at a speed of $$50$$ $$m/min,$$ cover a
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The maximum reduction per pass during wire drawing of an aluminium alloy ignoring friction and redundant work is $$77\%
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Open die forging of a cylinder made of a rigid perfectly plastic material with yield strength of $$200$$ $$MPa$$ having
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In rolling of a flat strip, the relative velocity of strip with respect to the roller is
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The true stress at fracture of a tensile tested specimen, having an initial diameter of specimen at fracture is $$10$$ $
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A surface is prepared specially for an application with the profile as shown in the figure. The theoretical $${R_a}$$
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During the measurement of internal taper of a part using standard balls of diameter $$15$$ $$mm$$ and $$20$$ $$mm$$, the
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A metallic bar of uniform cross-section with specific weight of $$100$$ kN/m3 is hung vertically down. The length and Yo
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If the principal stress values are $$120$$ MPa, $$-50$$ MPa and $$10$$ MPa in a given state of stress, then maximum shea
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A beam is loaded as shown in the figure The bending moment, in $$Nm$$, at point $$R$$ is _______.
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The room-temperature stress $$\left( \sigma \right)$$ - strain $$\left( \varepsilon \right)$$ curves of four materials
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In an off-set slider crank mechanism, shown in figure, the crank is rotated at a constant speed of $$150$$ rpm. The valu
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An ideal gas of mass $$m$$ is contained in a rigid tank of volume $$V$$ at a pressure $$P.$$ During a reversible process
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