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GATE PI 2012

Exam Held on Thu Jan 01 1970 00:00:00 GMT+0000 (Coordinated Universal Time)
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GATE PI

A mold having dimensions $$100 \times 90 \times 20$$ (all in $$mm$$) is filled w...
For the matrix $$A = \left[ {\matrix{ 5 & 3 \cr 1 & 3 \cr } ...
$$x+2y+z=4, 2x+y+2z=5, x-y+z=1$$ <br>The system of algebraic equations given ab...
The area enclosed between the straight line $$y=x$$ and the parabola $$y = {x^2}...
Consider the function $$f\left( x \right) = \left| x \right|$$ in the interval $...
$$\,\mathop {Lim}\limits_{x \to 0} \left( {{{1 - \cos x} \over {{x^2}}}} \right)...
At $$x=0,$$ the function $$f\left( x \right) = {x^3} + 1$$ has
A political party orders an arch for the entrance to the ground in which the ann...
For the spherical surface $${x^2} + {y^2} + {z^2} = 1,$$ the unit outward norma...
A box contains $$4$$ red balls and $$6$$ black balls. Three balls are selected r...
An automobile plant contracted to buy shock absorbers from two suppliers $$X$$ ...
Consider the differential equation $$\,\,{x^2}{{{d^2}y} \over {d{x^2}}} + x{{dy}...
The inverse Laplace transform of the function $$F\left( s \right) = {1 \over {s\...
Which one of the following configurations has the highest fin effectiveness?
For an opaque surface, the absorptivity $$\left( \alpha \right),$$ transmissivi...
Consider two infinitely long thin concentric tubes of circular cross section as ...
In a $$DC$$ $$arc$$ welding operating, the length characteristic was obtained as...
In a shaping process, the number of double strokes per minute is $$30$$ and the ...
In a single pass drilling operation, a through hole of $$15$$ $$mm$$ diameter is...
A $$CNC$$ vertical milling machine has to cut a straight slot of $$10$$ $$mm$$ w...
A solid cylinder of diameter $$100$$ $$mm$$ and height $$50$$ $$mm$$ is forged b...
In a single pass rolling process using $$410mm$$ diameter steel rollers, a strip...
Match the following metal forming processes with their associated stresses in th...
Calculate the punch size in $$mm,$$ for a circular blanking operation for which ...
In an interchangeable assembly, shafts of size $${25.000^{\matrix{ { + 0.040}...
A Sine bar has a length of $$250mm.$$ Each roller has a diameter of $$20mm.$$ Du...

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