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## GATE PI 2016

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

Two cast iron blocks $$P$$ and $$Q,$$ each of $$500$$ $$mm$$ length, have the sa...
The eigen values of the matrix are $$\left[ {\matrix{ 0 &amp; 1 \cr { - ... The number of solutions of the simultaneous algebraic equations$$y=3x+3$$and ... For the two functions <br>$$f\left( {x,y} \right) = {x^3} - 3x{y^2}\,\,$$and ... At$$x=0,$$the function is$$f\left( x \right) = \left| {\sin {{2\pi x} \over L...
The range of values of $$k$$ for which the function $$\,\,f\left( x \right) = \l...$$\mathop {\lim }\limits_{x \to 0} \left( {{{{e^{5x}} - 1} \over x}} \right)$$... A fair coin is tossed$$N$$times. The probability that head does not turn up in... A normal random variable$$X$$has the following probability density function ... To solve the equation$$2sinx=x$$by Newton- Raphson method, the initial guess w... The function$$f\left( z \right) = {{{z^2} + 1} \over {{z^2} + 4}}$$is singular... In abrasive water jet machining, the velocity of water at the exit of the orific... A$$2m \times 2m$$square operating in a vertical wall is covered with a metalic... A vertical cylindrical tank of$$1m$$diameter is filled with water up to a... In a fully developed turbulent flow through a circular pipe, a head loss of ݄$${...
A long slender metallic rod of length $$L$$ is used as a fin. As shown in the fi...
The throughput rate of a production system is $$20$$ units per hour. The average...
Consider a network with nodes $$1, 2, 3, 4, 5$$ and $$6.$$ The nodes are connect...
In linear gas tungsten arc welding of two plates of the same material, the peak ...
Two flat steel sheets, each of $$2.5$$ $$mm$$ thickness, are being resistance sp...
A helical gear with involute tooth profile has been machined with a disc-type fo...
A single point right handed turning tool is used for straight turning. The feed ...
A cylindrical bar of $$100$$ $$mm$$ diameter is orthogonally straight turned wit...
A $$60$$ $$mm$$ wide block of low carbon steel is face milled at a cutting speed...
Consider the following statements. <br>$$(P)$$ Computer aided process planning $... A single axis $$CNC$$ table is driven by a $$DC$$ servo motor that is directly c... In a single-pass rolling operation, a $$200$$ $$mm$$ wide metalic strip is rolle... Two solid cylinders of equal diameter have different heights. They are compresse... The ratio of press force required to punch a square hole of $$30$$ $$mm$$ side i... The limits of a shaft designated as $$100h5$$ are $$100.000$$ $$mm$$ and $$100.0... The roughness profile of a surface is depicted below. <img class="question-image... A beam is subjected to an inclined concentrated load as shown in the figure belo... Consider the following statements: <br>(P) Hardness is the resistance of a mater... A bar of rectangular cross-sectional area of$$50$$mm<sup>2</sup> is pulled fro... A 1 m × 10 mm$$ \times$\$ 10 mm cantilever beam is subjected to a uniformly di...
A thin-walled cylindrical pressure vessel of internal diameter 2 m is designed t...
An engine, connected with a flywheel, is designed to operate at an average angul...

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