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 value of $$\mathop {\lim }\limits_{\left( {x,y} \right) \to \left( {0,0} \right)} {{{x^2} - xy} \over {\sqrt x - View Question The function$$f\left( x \right) = {x^2} = x + x + x + ....x$$times, is defined View Question The curve$$\,\,y = {x^4}\,\,$$View Question A product is an assemble of$$5$$different components. The product can be sequentially assembled in two possible ways. View Question A coin is tossed thrice. Let$$X$$be the event that head occurs in each of the first two tosses. Let$$Y$$be the event View Question The solution to$$\,6y{y^1} - 25x = 0\,\,$$represents a View Question The solution to$$\,\,{x^2}{y^{11}} + x{y^1} - y = 0\,\,$$is View Question In numerical integration using Simpson's rule, the approximating function in the interval is a View Question In a vertical piston-cylinder arrangement the force applied to the piston, pushes water through a nozzle as shown in the View Question In a$$1m$$thick wall, the temperature distribution at a given instant is$$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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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 drilling operation, a twist-drill of $$30$$ $$mm$$ diameter with point angle of $$118$$ degrees is used. If the $$CNC View Question In a slab milling operation, a cutter of$$75mm$$diameter with sufficient width is used to remove$$5mm$$thi View Question In Computer Aided Process Planning, determination of process sequence for manufacture of any part design without predefi View Question Match the linear transformation matrices listed in the first column to their interpretations in the second column. View Question In a Flexible manufacturing system, the Automated Guided Vehicles$$(AGV)$$move at a speed of$$50m/min,$$cover a View Question The true stress at fracture of a tensile tested specimen, having an initial diameter of specimen at fracture is$$10$$View Question In rolling of a flat strip, the relative velocity of strip with respect to the roller is View Question The maximum reduction per pass during wire drawing of an aluminium alloy ignoring friction and redundant work is$$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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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 surface is prepared specially for an application with the profile as shown in the figure. The theoretical $${R_a}$$
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The room-temperature stress $$\left( \sigma \right)$$ - strain $$\left( \varepsilon \right)$$ curves of four materials
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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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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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