GATE ME 2000
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GATE ME

In a manufacturing plant, the probability of making a defective bolts is $$0.1$$. The mean and standard deviation of def
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Find the solution of the differential equation $$\,{{{d^2}u} \over {d{t^2}}} + {\lambda ^2}y = \cos \left( {wt + k} \r
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A steel wheel of 600 mm diameter rolls on a horizontal steel rail. It carries a load of 500 N. The coefficient of rollin
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The ratio of tension on the tight side to that on the slack side in a flat belt drive is
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In given figure, if the pressure of gas in bulb $$A$$ is $$50$$ $$cm$$ $$Hg$$ vacuum and $${P_{atm}} = 76\,cm\,Hg,$$ the
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Navier Stoke's equation represents the conservation of
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A thin metal plate is exposed to solar radiation. The air and the surroundings are at $${30^ \circ }C\,.$$ The heat tran
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Air enters a counter-flow heat exchanger at $${7^ \circ }C$$ and leaves at $${40^ \circ }C$$. Water enters at $${30^ \ci
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A company places orders for supply of two items $$A$$ and $$B.$$ The order cost for each of the items is Rs.$$300$$ /ord
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Given below are the data for a project network. (a) Draw the network for the above project capturing the precedence re
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In a time series forecasting model, the demand for five time periods was $$10, 13,$$ $$15,$$ $$18$$ and $$22.$$ A linear
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In a single server infinite population queuing model, arrivals follow a Poisson distribution with mean $$\lambda = 4$$
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Solve the following linear programming problem by simplex method $$\eqalign{ & Maximize\,\,\,\,\,\,4{x_1} + 6{x_2
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Given below is a basic feasible solution to a transportation problem with three supply points $$(A,B,C)$$ and three dema
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The forecasts for a product for the next three months are given as $$750,850$$ and $$1000$$ units. The number of regular
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A $$1.5$$ $$kW$$ motor is running at $$1440$$ rev/min. It is to be connected to a stirrer running at $$36$$ rev/min. the
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The life of a ball bearing at a load of $$10$$ $$kN$$ is $$8000$$ hours. Its life in hours, if the load is increased to
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Disposable patterns are made of
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Two castings, a cube and a slab of the same material solidify under identical conditions. The volumes of the castings ar
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A cylindrical billet of $$100$$ $$mm$$ diameter is forged from $$50$$ $$mm$$ height to $$40$$ $$mm$$ at $${1000^0}$$$$C$
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Two different pairs of sheets of same material are welded by resistance-spot welding. In one pair, the average radius $$
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A built up edge is formed while machining
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A conventional lathe and a $$CNC$$ lathe are under consideration for machining a given part. The relevant data are shown
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Deep hole drilling of small diameter, say $$0.2$$ $$mm$$ is done with $$EDM$$ by selecting the tool material as
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Abrasive material used in grinding wheel selected for grinding ferrous alloys is
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The abrasive material used in grinding wheel selected for grinding of ferrous alloys is
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In computer aided drafting practice, an arc is defined by
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Cellular manufacturing is suitable for
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In finish machining of an island on a casting with $$CNC$$ milling machine, an end mill with $$10$$ $$mm$$ diameter is e
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A 1.5 kW motor is running at 1440 rev/min. Its is to be connected to a stirrer running at 36 rev/min. The gearing arran
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As shown in Figure, a mass of 100 kg is held between two springs. The natural frequency of vibration of the system, in
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A steam turbine receives steam steadily at $$10$$ $$bar$$ with an enthalpy of $$3000$$ $$kJ/kg$$ and discharges at $$1$$
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When an ideal gas with constant specific heats is throttled adiabatically, with negligible changes in kinetic and potent
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A certain mass of a pure substance undergoes an irreversible process from state $$1$$ to state $$2,$$ the path of the pr
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Availability of a system at any given state is
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Which of the following is a pressure compounded turbine?
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For a compressible fluid, sonic velocity is
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A simple impulse turbine expands steam frictionlessly from $$12$$ bar, $${250^0}C$$ with an enthalpy of $$2935$$ $$kJ/kg
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