GATE ME 1995
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GATE ME

Solve the system $$2x+3y+z=9,$$ $$4x+y=7,$$ $$x-3y-7z=6$$
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Among the following, the pair of vectors orthogonal to each other is
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The area bounded by the parabola $$2y = {x^2}$$ and the lines $$x=y-4$$ is equal to _________.
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If $$\overrightarrow V $$ is a differentiable vector function and $$f$$ is sufficienty differentiable scalar function th
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The solution to the differential equation $$\,{f^{11}}\left( x \right) + 4{f^1}\left( x \right) + 4f\left( x \right) = 0
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A differential equation of the form $${{dy} \over {dx}} = f\left( {x,y} \right)\,\,$$ is homogeneous if the function $
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A spring scale indicates a tension $$T$$ in the right hand cable of the pulley system shown in figure below. Neglecting
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A fluid is said to be Newtonian fluid when the shear stress is
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The velocity components in the $$x$$ and $$y$$ directions are given by $$u = \lambda x{y^3} - {x^2}y,$$ $$v = x{y^2} - {
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The force $$F$$ needed to support the liquid of density $$d$$ and the vessel on top (fig) is
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In fully developed laminar flow in the circular pipe, the head loss due to friction is directly proportional to .......
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Consider two large parallel plates, one at $${T_1} = {727^ \circ }C$$ with emissivity $${\varepsilon _1} = 0.8$$ and the
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A counter flow heat exchanger is to heat air entering at $${400^ \circ }C$$ with a flow rate of $$6$$ $$kg/s$$ by the ex
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If the demand for an item is doubled and the ordering cost halved, the economic order quantity
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Consider the following data for a product: Demand $$=1000$$ units/year Order cost $$=$$ Rs.$$40$$/order Holding cost $$
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In $$PERT,$$ the distribution of activity times is assumed to be
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A project with the following data is to be implemented: (a) What is the minimum duration of the project? (b) Draw a G
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On the average $$100$$ customers arrive at a place each hour, and on the average the server can process $$120$$ customer
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The manufacturing area of a plant is divided into four quadrants. Four machines have to located one in each quadrant. Th
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Match the following: List-$${\rm I}$$ (A) Worm gears (B) Cross helical gears (C) Bevel gears (D) Spur gears List-$${\rm
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Interference in a pair of gears is avoided, if the addendum circles of both the gears intersect common tangent to the b
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A test specimen is stressed slightly beyond the yield point and then unloaded. Its yield strength
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Cutting power consumption in turning can be signification reduced by
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A single point turning tool is designated as $$${10^ \circ } - {12^ \circ } - {7^ \circ } - {5^ \circ } - {20^ \circ }
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If under a condition of plain turning the life of the cutting tool decreases by $$50\% $$ due to increase in the cutting
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While turning a $$C15$$ steel of $$160mm$$ diameter at $$215rpm,$$ $$2.5mm$$ depth of cut and feed of $$0.16mm/rev$$ by
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Diamond wheels should not be used for grinding steel components
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Among the conventional machining processes, maximum specific energy is consumed in
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Plain milling of mild steel plates produces
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Machine tool, structures are made ................. for high process capability (tough/ rigid/ strong)
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Determine the transformation ratio $$(TR)$$ of the gear train connecting the spindle and the lead screw of $$4TPI$$ requ
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Slip gauges are calibrated by outside micrometer
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Checking the diameter of a hole using GO and NOGO gauges is an example of inspection by …………… (variables/attributes)
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A free bar of length 1 m is uniformly heated from $${0^ \circ }C$$ to a temperature of $${t^ \circ }C$$. $$\alpha $$ is
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Fig. shows a quick return mechanism. The crank $$OA$$ rotates clockwise uniformly. $$OA=2$$ cm, $$O{O^1} = 4$$ cm. The
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List $$I$$ (Gear types) (a) Worm gears (b) Cross helical gears (c) Bevel gears (d) Spur gears List $$II$$ (Applications)
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The arm OA of an epicylic gear train shown in Fig. revolves counter clockwise about O with an angular velocity of 4 rad/
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Constant pressure lines in the super-heated region of the Mollier diagram will have
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Consider a refrigerator and a heat pump working on the reversed Carnot cycle between the same temperature limits. Which
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In the case of a refrigeration system undergoing an irreversible cycle, $$\oint {{{SQ} \over T}} $$ is _____________$$\
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One kilomole of an ideal gas is throttled from an initial pressure of $$0.5$$ $$MPa$$ to $$0.1$$ $$MPa.$$ The initial te
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A heat reservoir at $$900$$ $$K$$ is brought into contact with the ambient at $$300$$ $$K$$ for a short time. During thi
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In adiabatic flow with friction, the stagnation temperature along a streamline ____________ (increase / remains constant
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Consider a Rankine cycle with superheat. If the maximum pressure in the cycle is increased without changing the maximum
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Dry saturated steam enters a friction-less adiabatic nozzle with negligible velocity at a temperature of $${300^ \circ }
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