GATE CE 2014 Set 2
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## GATE CE

The determinant of matrix $$\left[ {\matrix{ 0 &amp; 1 &amp; 2 &amp; 3 \cr 1 &amp; 0 &amp; 3 &amp; 0 \cr 2 View Question The rank of the matrix$$\left[ {\matrix{ 6 &amp; 0 &amp; 4 &amp; 4 \cr { - 2} &amp; {14} &amp; 8 &amp; {18} \c
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The expression $$\mathop {Lim}\limits_{a \to 0} \,{{{x^a} - 1} \over a}\,\,$$ is equal to
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An observer counts $$240$$veh/h at a specific highway location. Assume that the vehicle arrival at the location is Poiss
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A fair (unbiased) coin was tossed four times in succession and resulted in the following outcomes; (i) Head, (ii) Head,
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If $$\left\{ x \right\}$$ is a continuous, real valued random variable defined over the interval $$\left( { - \infty ,\, View Question The integrating factor for the differential equation$${{dP} \over {dt}} + {k_2}\,P = {k_1}{L_0}{e^{ - {k_1}t}}\,\,$$i View Question Water is following at a steady rate through a homogeneous and saturated horizontal soil strip of$$10$$m length. The str View Question$$z = {{2 - 3i} \over { - 5 + i}}$$can be expressed as View Question The survey carried out to delineate natural features, such as hills, rivers, forests and manmade features, such as towns View Question A certain soil has the following properties: Gs = 2.71, n = 40% and w = 20%. The degree of saturation of the soil (round View Question The modulus of elasticity, E = 5000$$\sqrt{{\mathrm f}_\mathrm{ck}}$$where fck is the characteristic compressive streng View Question The flexural tensile strength of M25 grade of concrete, in N/mm2, as per IS:456-2000 is __________. View Question The target mean strength fcm for concrete mix design obtained from the characteristic strength (fck) and standard deviat View Question For the state of plane stress (in$$MPa$$) shown in the figure below, the maximum shear stress (in$$MPa$$) is ________ View Question The values of axial stress$$\left( \sigma \right)$$in$$kN/{m^2},$$bending moment$$(M)$$in$$kNm,$$and shear forc View Question The beam of an overall depth$$250mm$$(shown below) is used in a building subjected to two different thermal envir View Question Polar moment of inertia$$\left( {{{\rm I}_p}} \right),$$in$$c{m^4},$$of a rectangular section having width,$$b=2$$View Question The first moment of area about the axis of bending for a beam cross-section is View Question The axial load (in$$kN$$) in the member$$PQ$$for the arrangement/assembly shown in the figure given below is ________ View Question The static indeterminacy of the two-span continuous beam with an internal hinge, shown below, is ______________. View Question The tension (in$$kN$$) in a$$10m$$long cable, shown in the figure, neglecting its self-weight is View Question Considering the symmetry of a rigid frame as shown below, the magnitude of the bending moment (in$$kN$$-$$m$$) at$$P$$View Question A prismatic beam (as shown below) has plastic moment capacity of$${{M_P}}$$, then the collapse load$$P of the beam i
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A road is being designed for a speed of 110 km/hr on a horizontal curve with a super elevation of 8%. If the coefficient
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