GATE ME 1998
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GATE ME

The probability that two friends share the same birth-month is
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The general solution of the differential equation $${x^2}{{{d^2}y} \over {d{x^2}}} - x{{dy} \over {dx}} + y = 0$$ is
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The radial displacement in a rotating disc is governed by the differential equation $$\,\,{{{d^2}u} \over {d{x^2}}} + {1
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A car moving with uniform acceleration covers 450 m in a 5 second interval, and covers 700 m in the next 5 second interv
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A cylinder of mass $$10$$ kg and area of cross-section $$0.1$$ $${m^2}$$ is tied down with string in a vessel containing
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The discharge velocity at the pipe exit in figure is
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The temp variation under steady heat conduction across a composite slab of two materials with thermal conductivies $${K_
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A gas filled tube has $$2$$ $$mm$$ inside diameter and $$25$$ $$cm$$ length. The gas is heated by an electrical wire of
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Heat transfer coefficients for free convection in gasses, forced convection in gases and vapors, and for boiling water l
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Hot water flows with a velocity of $$0.1$$ $$m/s$$ in a $$100mm$$ long, $$0.1m$$ diameter pipe. Heat lost from the pipe
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A hot fluid at $${200^ \circ }C$$ enters a heat exchanger at a mass flow rate of $${10^4}\,\,kg/hr.$$ Its specific heat
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In inventory planning, extra inventory is unnecessarily carried to the end of the planning period when using one of the
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One of the following statements about $$PRS$$ (Periodic Reordering System) is not true. Identify.
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Which one of the following forecasting techniques is not suited for making forecasts for planning production schedules i
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A job shop has $$6$$ orders to be completed by a single turning center. The processing times and due dates are as follow
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Which theory of failure will you use for aluminium components under steady loading is
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Bolts in the flanged end of pressure vessel are usually pre- tensioned. Indicate which of the following statements is no
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The basic load rating of a ball bearing is
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Match the following
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Two castings of the same metal have the same surface area one casting is in the form of a sphere and the other is a cub
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A strip with sectional area $$150mm\,\, \times \,\,4.5mm$$ is being rolled with $$20\% $$ reduction of area using $$450m
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The voltage-arc length characteristics of a $$DC$$ arc is given by $$V=20+4L.$$ Where $$L$$ is in $$mm$$. During a weldi
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The voltage-arc length characteristics of a $$DC$$ arc is given by $$V=20+4L.$$ Where $$L$$ is in $$mm$$. During a weldi
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In orthogonal machining operation, the chip thickness and the uncut chip thickness are equal to $$0.45mm$$. If the tool
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A cylinder of $$155$$ $$mm$$ is to be reduced $$150$$ $$mm$$ diameter in one turning cut with a feed of $$0.15$$ $$mm$$/
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A flywheel of moment of inertia $$9.8$$ kg m2 fluctuates by $$30$$ rpm for a fluctuation in energy of $$1936$$ Jouls. T
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A Curtis stage, Rateau stage and a $$50$$% reaction stage in a steam turbine are examples of
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If $$\,\,{V_N}\,\,$$ and $$\alpha $$ are the nozzle exit velocity and nozzle angle in an impulse turbine, the optimum bl
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The isentropic heat drop in the nozzle of an impulse steam turbine with a nozzle efficiency $$0.9,$$ blade velocity rati
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A Rankine cycle operates between pressures of $$80$$ bar and $$0.1$$ bar. The maximum cycle temperature is $${600^ \circ
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