GATE CE 2000
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## GATE CE

Consider the following two statements. $$(I)$$ The maximum number of linearly independent column vectors of a matrix $$View Question If$$A,B,C$$are square matrices of the same order then$${\left( {ABC} \right)^{ - 1}}$$is equal be View Question The Taylor series expansion of sin$$x$$about$$x = {\pi \over 6}$$is given by View Question Limit of the function$$f\left( x \right) = {{1 - {a^4}} \over {{x^4}}}\,\,as\,\,x \to \infty $$is given by View Question If$$f\left( {x,y,z} \right) = {\left( {{x^2} + {y^2} + {z^2}} \right)^{{\raise0.5ex\hbox{${ - 1}$} \
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Consider the following integral $$\mathop {Lim}\limits_{x \to 0} \int\limits_1^a {{x^{ - 4}}} dx$$ ________.
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Let $$F\left( s \right) = L\left[ {f\left( t \right)} \right]$$ denote the Laplace transform of the function $$f(t)$$. W
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Two Samples of Water A and B have pH values of a 4.4 and 6.4 respectively. How many times more acidic sample A is than s
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Cavitation is caused by
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A soil sample has a void ratio of 0.5 and its porosity will be closed to
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A borrow pit soil has a dry density of 17 kN/m3. How many cubic meters of this soils will be required to construct an em
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If duty (D) is 1428 hectares/cumec and base period (B) is 120 days for an irrigated crop, then delta ($$\Delta$$) in met
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A tube well having a capacity of 4 $$m^3 /hour$$ operates for 20 hours each day during the irrigation season. How much a
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The working stress method of design specifies the value of modular ratio, $$m = 280/\left( {3{\sigma _{cbc}}} \right),$$
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The following two statements are made with reference to a simply supported under - reinforced $$RCC$$ beam: $${\rm I}.\ View Question Assume straight line instead of parabola for stress-strain curve of concrete as given below and partial factor of safet View Question Assume straight line instead of parabola for stress-strain curve of concrete as given below and partial factor of safet View Question A continuous beam$$250\,mm \times 450\,mm$$carries$$6$$numbers of$$12mm$$diameter longitudinal bars as shown. View Question A simply supported rectangular prestressed concrete beam$$200mm$$wide and$$400mm$$deep has an effective s View Question A$$12mm$$bracket plate is connected to a column flange as shown in the figure below. The bracket transmits a load View Question The stress-strain diagram for two materials A and B is shown below: The following statements are made based on this dia View Question Pick the incorrect statement from the following four statements: View Question A frame$$ABCD$$is supported by a roller at$$A$$and is on a hinge at$$C$$as shown below: The reaction at the roll View Question A two span beam with an internal hinge is shown below. Conjugate beam corresponding to this beam is View Question For the structure shown below, the vertical deflection at point$$A$$is given by View Question Four column of the same material having identical geometric properties are supported in different ways as shown below View Question The following two statements are made with reference to the planar truss shown below :$${\rm I}.$$The truss is stat View Question Identify the FALSE statement from the following, pertaining to the methods of structural analysis. View Question A simply supported beam with an overhang is traversed by a unit concentrated moment from left to the right as shown belo View Question For the structure shown below, the vertical deflection at point$$A$$is given by View Question A frame$$ABCD$$is supported by a roller at$$A$$and is on a hinge at$$C$$as shown below. The reaction at the roller View Question Identify the correct deflection diagram corresponding to the loading in the plane frame shown below : View Question A cantilever beam of length$$L$$and a cross section with shape factor$$'f'$$supports a concentrated load$$P as sh
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The four cross sections shown below are required to be ordered in the increasing order of their respective shape factors
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Width of carriage way for a single lane is recommended to be
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The ruling minimum radius of horizontal curve of a national highway in plain terrain for a ruling design speed of 100 km
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Design rate of super elevation for horizontal highway curve of radius 450 m for a mixed traffic condition, having a spee
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