GATE ME 1997
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GATE ME

For the following set of simultaneous equations $$$1.5x - 0.5y + z = 2$$$ $$$4x + 2y + 3z = 9$$$ $$$7x + y + 5z = 10$$$
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Area bounded by the curve $$y = {x^2}$$ and the lines $$x=4$$ and $$y=0$$ is given by
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The order of error in the simpson's rule for numerical integration with a step size $$h$$ is
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Solve the initial value problem $${{{d^2}y} \over {d{x^2}}} - 4{{dy} \over {dx}} + 3y = 0$$ with $$y=3$$ and $${{dy} \
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A mass of 35 kg is suspended from a weightless bar AB which is supported by a cable CB and a pin at A as shown in. The p
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The dimension of surface tension is :
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Refer to figure, the absolute pressure of gas $$A$$ in the bulb is
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In certain $$HE,$$ both the fluids have identical mass flow rate-specific heat product. The hot fluid enters at $${76^ \
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In a certain double pipe heat exchanger hot water flows at a rate of $$50,000$$ $$kg/h$$ and gets cooled from $${95^ \ci
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Setup costs do not include
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A dummy activity is used in $$PERT$$ network to describe
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Determine the number of production runs and also the total incremental cost in a factory for the data given below:
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A project plan is given below: (a) Construct a $$PERT$$ network (b) Find the critical path and estimate the project du
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The most commonly used criteria for measuring forecast error is
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In a forecasting model, at the end of period $$13,$$ the forecasted value for period $$14$$ is $$75.$$ Actual value in t
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The cost of providing service in a queuing system increases with
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People arrive at a hotel in a Poisson distributed arrival rate of $$8$$ per hour. Service time distribution is closely a
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A company rents three warehouses $$A, B$$ and $$C$$ from which they supply bearings to two customers $$P$$ and $$Q.$$ Th
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A small element at the critical section of a component in bi-axial state of stress with the two principal stresses being
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To make a worm drive reversible, it is necessary to increase
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The dynamic load capacity of $$6306$$ bearing is $$22KN.$$ The maximum radial load it can sustain to operate at $$600$$
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Match the following List - $${\rm I}$$ (a)$$\,\,\,\,\,$$ Automobile wheel mounting on axle (b)$$\,\,\,\,\,$$ High speed
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To restore stable operating condition in a hydrodynamic journal bearing, when it encounters higher magnitude loads.
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A metal strip is to be rolled from an initial wrought thickness of $$3.5$$ $$mm$$ to a final rolled thickness of $$2.5$$
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Welding of $$C40$$ steel plate of $$10mm$$ thickness required a current of $$16$$amps, while it was $$360$$amps when the
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In a typical metal cutting operation, using a cutting tool of positive rake $$\gamma = 10\deg ,$$ it was observed that
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A cutting tool has a nose radius of $$1.8mm$$. The feed rate for a theoretical surface roughness of $${R_t} = 5$$ micron
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In a turning trail using orthogonal tool geometry, a chip length of $$84mm$$ was obtained for an uncut chip length of $$
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A Throwaway carbide insert was used to machine a steel work pieces with a cutting speed of $$60$$ $$m/min,$$ tool life o
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Helix angle of fast helix drill is normally
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$$3$$ blocks of $${B_1},\,\,{B_2},\,\,{B_3}$$ are to be inserted in a channel of width $$'S'$$ maintaining a minimum gap
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In a point to point control $$NC$$ machine, the slides are positioned by an integrally mounted stepper motor drive. If t
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A mass of 35 kg is suspended from a weightless bar AC, which is supported by a cable CB and a pin at A as shown in Fig.
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The suspension system of a two-wheeler can be equated to a single spring-mass system with a viscous damper connected in
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Air enters a frictionless adiabatic converging nozzle at $$10$$ bar, $$500$$ $$K$$ with negligible velocity. The nozzle
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For an ideal gas the expression $$\left[ {T{{\left( {{{\delta s} \over {\delta T}}} \right)}_p} - T{{\left( {{{\delta s}
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A system undergoes a state change from $$1$$ to $$2.$$ According to the second law of thermodynamics, for the process to
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At a place where the surroundings are at $$1$$ bar $${27^ \circ }C,$$ a closed rigid thermally insulated tank contains $
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Which among the following is the boiler mounting?
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The following data pertain to a single stage impulse steam turbine: Nozzle angle $$=$$ $${20^ \circ };$$ Blade velocity
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Consider an actual regenerative Rankine cycle with one open feed water heater. For each $$kg$$ steam entering the turbin
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Match the following
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Kaplan turbine is
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A water turbine delivering $$10$$ $$MW$$ power is to be tested with the help of a geometrically similar $$1:8$$ model, w
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