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## GATE CE 2015 Set 2

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

Let $$A = \left[ {{a_{ij}}} \right],\,\,1 \le i,j \le n$$ with $$n \ge 3$$ and $... The two Eigen Values of the matrix $$\left[ {\matrix{ 2 &amp; 1 \cr 1 &a...$$\mathop {\lim }\limits_{x \to \infty } {\left( {1 + {1 \over x}} \right)^{2x}}... Given $$i = \sqrt { - 1} ,$$ the value of the definite integral, $$\,{\rm I} = \... The probability density function of a random variable,$$x$$is$$$\matrix{ ...
Four cards are randomly selected from a pack of $$52$$ cards. If the first two c...
Consider the following second order linear differential equation $${{{d^2}y} \ov... For step-size,$$\Delta x = 0.4,$$the value of following integral using Simpson... In Newton-Raphson iterative method, the initial guess value$$\left( {{x_{ini}}}...
A groundwater sample was found to contain 500 mg/L total dissolved solids (TDS)....
A triangular gate with a base width of 2 m and a height of 1.5 m lies in a verti...
If the water content of a fully saturated soil mass is 100%, the void ratio of t...
A 588 $$cm^3$$ volume of moist sand weighs 1010 gm. Its dry weight is 918 gm and...
The average surface area of a reservoir in the month of June is 20 km<sup>2</sup...
According to the concept of Limit State Design as per IS 456: 2000, the probabil...
A column of size $$450\,mm \times 600\,mm$$ has unsupported length of $$3.0$$ $$... In a pre-stressed concrete beam section shown in the figure, the net loss is$$1...
Prying forces are
A steel member ‘M’ has reversal of stress due to live loads, whereas another mem...
For the plane stress situation shown in the figure, the maximum shear stress and...
A simply supported reinforced concrete beam of length $$10$$ $$m$$ sags while un...
In a system, two connected rigid bars $$AC$$ and $$BC$$ are of identical length ...
A steel strip of length, $$L = 200$$ $$mm$$ is fixed at end $$A$$ and rests at \$...
A simply supported beam $$AB$$ of span, $$L = 24$$ $$m$$ is subjected to two whe...
A horizontal beam $$ABC$$ is loaded as shown in the figure below. The distance o...
A fixed end beam is subjected to a load, W at $$1/3rd$$ span from the left suppo...
A guided support as shown in the figure below is represented by three springs (h...
A superspeedway in New Delhi has among the highest super-elevation rates of any ...

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