GATE PI 2007
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## GATE PI

In a sand casting process, a sprue of $$10mm$$ base diameter and $$250mm$$ height leads to a runner which fills a cubica
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In a sand casting process, a sprue of $$10mm$$ base diameter and $$250mm$$ height leads to a runner which fills a cubica
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Match the following
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The determinant $$\left| {\matrix{ {1 + b} &amp; b &amp; 1 \cr b &amp; {1 + b} &amp; 1 \cr 1 &amp; {2b} &am View Question If$$A$$is square symmetric real valued matrix of dimension$$2n$$, then the eigen values of$$A$$are View Question For the function$$\,\,f\left( {x,y} \right) = {x^2} - {y^2}\,\,$$defined on$${R^2},$$the point$$(0,0)$$is View Question What is the value of$$\mathop {Lim}\limits_{x \to \pi /4} {{\cos x - \sin x} \over {x - \pi /4}}\,\,$$View Question The angle (in degrees) between two planar vectors$$\vec a = {{\sqrt 3 } \over 2}\widehat i + {1 \over 2}\widehat j$$a View Question If$$X$$is a continuous random variable whose probability density function is given by$$\$\,\,\,f\left( x \right) = \l
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The random variable $$X$$ takes on the values $$1,$$ $$2$$ (or) $$3$$ with probabilities $$\,{{2 + 5P} \over 5},{{1 + View Question Two cards are drawn at random in succession with replacement from a deck of$$52$$well shuffled cards Probability of ge View Question If a complex number$$z = {{\sqrt 3 } \over 2} + i{1 \over 2}$$then z4 is View Question Matching exercise choose the correct one out of the alternatives$$A, B, C, D$$Group$$-{\rm I}P.{2^{nd
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A long glass cylinder of inner diameter $$=0.03m$$ and outer diameter $$=0.05m$$ carries hot fluid inside. If the therma
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The $$DC$$ power source for arc welding has the characteristic $$3V + 1 = 240,$$ where $$V=$$ Voltage and $${\rm I}\,\, View Question In an orthogonal cutting test, the following observations were made Cutting force$$=1200N ;$$Thrust force$$=500N$$View Question In an orthogonal cutting test, the following observations were made Cutting force$$=1200N ;$$Thrust force$$=500N$$View Question Reaming is primarily used for achieving View Question Which of following gear manufacturing processes is based on generation principle. View Question Blind hole$$10mm$$diameter,$$50mm$$deep are being drilled in steel block, drilling spindle speed is$$600rpm$$, feed View Question Blind hole$$10mm$$diameter,$$50mm$$deep are being drilled in steel block, drilling spindle speed is$$600rpm$$, feed View Question The interpolator in a$$CNC$$machine controls View Question In a$$CAD$$package, a point$$P(6, 3, 1)$$is projected along a vector$$v(-2, 1, -1).$$The projection of this point View Question The geometric transformation specified by$$\left[ {x'\,\,y'\,\,1} \right] = \left[ {x\,\,y\,\,1} \right]\left[ {\matri
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The maximum possible percentage reduction in area per pass during wire drawing of an ideal plastic material without fric
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Circular blanks of $$35$$ $$mm$$ diameter are punched from a steel sheet of $$2$$ $$mm$$ thickness. If the clearance per
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The geometric tolerance that does not need a datum for its specification is
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Which one of the Instrument is a comparator
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A tool with side cutting edge angle of $$30$$ degrees and end cutting edge angle $$10deg$$ is used for fine turning with
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Tolerance on the dimension $$'x'$$ in the two component assembly shown below is (all dimensions are in $$mm$$)
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