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GATE CE 2007

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

The inverse of $$2 \times 2$$ matrix $$\left[ {\matrix{ 1 & 2 \cr 5 ...
For what values of $$\alpha $$ and $$\beta $$ the following simultaneous equatio...
The minimum and maximum eigen values of matrix $$\left[ {\matrix{ 1 & 1 &...
The velocity vector is given as $${\mkern 1mu} \vec V = 5xy\widehat i + 2{y^2}\w...
If the standard deviation of the speed of vehicles in a highway is $$8.8$$ kmph ...
The solution for the differential equation $$\,{{d\,y} \over {d\,x}} = {x^2}\,y$...
The degree of the differential equation $$\,{{{d^2}x} \over {d{t^2}}} + 2{x^3} =...
A body originally at $${60^ \circ }$$ cools down to $$40$$ in $$15$$ minutes whe...
Potential function $$\phi $$ is given as $$\phi \, = \,{x^2}\, - \,{y^2}$$. What...
The following equation needs to be numerically solved using the Newton $$-$$ Rap...
Given that one root of the equation $$\,{x^3} - 10{x^2} + 31x - 30 = 0\,\,$$ is ...
The presence of hardness in excess of permissible limit causes
The alkalinity and the hardness of a water sample are 250 mg/L and 350 mg/L as $...
The plan of a map was photo copied to a reduced size such that a line originally...
The plan of a survey plotted to a scale of 10m to 1cm is reduced in such a way t...
The magnetic bearing of a line AB is S 45° E and the declination is 5° west. The...
The water content of a saturated soil and the specific gravity of soil solids we...
The consumptive use of water for a crop during a particular stage of growth is 2...
The culturable command area for a distributary channel is 20,000 hectares. Wheat...
Consider the following statements: <p>1. The compressive strength of concrete de...
Consider the following statements: <p>I. Modulus of elasticity concrete increase...
A singly reinforced rectangular concrete beam has a width of $$150$$ $$mm$$ and ...
A singly reinforced rectangular concrete beam has a width of $$150$$ $$mm$$ and ...
A concrete beam of rectangular cross-section of size $$120$$ $$mm$$ (width) and ...
A bracket connection is made with four bolts of $$10$$ $$mm$$ diameter and suppo...
A steel flat of rectangular section of size $$70 \times 6\,\,mm$$ is connected t...
For an isotropic material, the relationship between the young’s modulus (E), she...
A metal bar of length 100mm is inserted between two rigid supports and its tempe...
An axially loaded bar is subjected to a normal stress of $$173$$ $$MPa.$$ The ma...
The shear stress at the neutral axis in a beam of triangular section with a base...
The maximum and minimum shear stresses in a hollow circular shaft of outer diame...
A two span continuous beam having equal spans each of length $$L$$ is subjected ...
A two span continuous beam having equal spans each of length $$L$$ is subjected ...
A steel column, pinned at both ends, has a buckling load of $$200$$ $$kN.$$ If t...
The influence line diagram $$(ILD)$$ shown is for the member <img class="questio...
The right triangular truss is made of members having equal cross sectional area ...
A two span continuous beam having equal spans each of length $$L$$ is subjected ...
A two span continuous beam having equal spans each of length $$L$$ is subjected ...
The plastic collapse load $${{W_P}}$$ for the propped cantilever supporting two ...
The stiffness coefficient $${k_{ij}}$$ indicates
While designing a hill road with a ruling gradient of 6%, if a sharp horizontal ...

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