GATE PI 2007

## GATE PI

In a sand casting process, a sprue of $$10mm$$ base diameter and $$250mm$$ height leads to a runner which fills a cubica

View Question In a sand casting process, a sprue of $$10mm$$ base diameter and $$250mm$$ height leads to a runner which fills a cubica

View Question Match the following

View Question If $$A$$ is square symmetric real valued matrix of dimension $$2n$$, then the eigen values of $$A$$ are

View Question The determinant $$\left| {\matrix{
{1 + b} & b & 1 \cr
b & {1 + b} & 1 \cr
1 & {2b} &am

View Question What is the value of $$\mathop {Lim}\limits_{x \to \pi /4} {{\cos x - \sin x} \over {x - \pi /4}}\,\,$$

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 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

View Question 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

View Question A long glass cylinder of inner diameter $$=0.03m$$ and outer diameter $$=0.05m$$ carries hot fluid inside. If the therma

View Question 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 Which of following gear manufacturing processes is based on generation principle.

View Question Reaming is primarily used for achieving

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 The geometric transformation specified by
$$\left[ {x'\,\,y'\,\,1} \right] = \left[ {x\,\,y\,\,1} \right]\left[ {\matri

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 maximum possible percentage reduction in area per pass during wire drawing of an ideal plastic material without fric

View Question Circular blanks of $$35$$ $$mm$$ diameter are punched from a steel sheet of $$2$$ $$mm$$ thickness. If the clearance per

View Question The geometric tolerance that does not need a datum for its specification is

View Question Which one of the Instrument is a comparator

View Question A tool with side cutting edge angle of $$30$$ degrees and end cutting edge angle $$10deg$$ is used for fine turning with

View Question Tolerance on the dimension $$'x'$$ in the two component assembly shown below is (all dimensions are in $$mm$$)

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