Consider the following two statements. $$(I)$$ The maximum number of linearly independent column vectors of a matrix $$

If $$A,B,C$$ are square matrices of the same order then $${\left( {ABC} \right)^{ - 1}}$$ is equal be

The Taylor series expansion of sin $$x$$ about $$x = {\pi \over 6}$$ is given by

Limit of the function $$f\left( x \right) = {{1 - {a^4}} \over {{x^4}}}\,\,as\,\,x \to \infty $$ is given by

If $$f\left( {x,y,z} \right) = $$ $${\left( {{x^2} + {y^2} + {z^2}} \right)^{{\raise0.5ex\hbox{$\scriptstyle { - 1}$} \

Consider the following integral $$\mathop {Lim}\limits_{x \to 0} \int\limits_1^a {{x^{ - 4}}} dx$$ ________.

Let $$F\left( s \right) = L\left[ {f\left( t \right)} \right]$$ denote the Laplace transform of the function $$f(t)$$. W

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

Cavitation is caused by

A soil sample has a void ratio of 0.5 and its porosity will be closed to

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

If duty (D) is 1428 hectares/cumec and base period (B) is 120 days for an irrigated crop, then delta ($$\Delta$$) in met

A tube well having a capacity of 4 $$m^3 /hour$$ operates for 20 hours each day during the irrigation season. How much a

The working stress method of design specifies the value of modular ratio, $$m = 280/\left( {3{\sigma _{cbc}}} \right),$$

The following two statements are made with reference to a simply supported under - reinforced $$RCC$$ beam: $${\rm I}.\

Assume straight line instead of parabola for stress-strain curve of concrete as given below and partial factor of safet

Assume straight line instead of parabola for stress-strain curve of concrete as given below and partial factor of safet

A continuous beam $$250\,mm \times 450\,mm$$ carries $$6$$ numbers of $$12$$ $$mm$$ diameter longitudinal bars as shown.

A simply supported rectangular prestressed concrete beam $$200$$ $$mm$$ wide and $$400$$ $$mm$$ deep has an effective s

A $$12$$ $$mm$$ bracket plate is connected to a column flange as shown in the figure below. The bracket transmits a load

A two span beam with an internal hinge is shown below. Conjugate beam corresponding to this beam is

For the structure shown below, the vertical deflection at point $$A$$ is given by

Four column of the same material having identical geometric properties are supported in different ways as shown below

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

Pick the incorrect statement from the following four statements:

The stress-strain diagram for two materials A and B is shown below: The following statements are made based on this dia

The four cross sections shown below are required to be ordered in the increasing order of their respective shape factors

The following two statements are made with reference to the planar truss shown below : $${\rm I}.$$ The truss is stat

Identify the FALSE statement from the following, pertaining to the methods of structural analysis.

A simply supported beam with an overhang is traversed by a unit concentrated moment from left to the right as shown belo

For the structure shown below, the vertical deflection at point $$A$$ is given by

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

Identify the correct deflection diagram corresponding to the loading in the plane frame shown below :

A cantilever beam of length $$L$$ and a cross section with shape factor $$'f'$$ supports a concentrated load $$P$$ as sh

The ruling minimum radius of horizontal curve of a national highway in plain terrain for a ruling design speed of 100 km

Width of carriage way for a single lane is recommended to be

Design rate of super elevation for horizontal highway curve of radius 450 m for a mixed traffic condition, having a spee