1 1 answer
If the Fore Bearing of the lines $AB$ and $BC$ are $60^{\circ}$ and $122^{\circ}$, respectively, then the interior angle $\angle \mathrm{ABC}$ (in degrees) is $\_\_\_\_\_...
1 1 answer
On a two-lane highway, a horizontal curve of radius $300 \: \mathrm{m}$ is provided. The design speed is $80 \mathrm{~km} / \mathrm{h}$.If the longest wheelbase of vehicl...
0 0 answers
A settling chamber is used for the removal of discrete particulate matter from air with following conditions. Horizontal velocity of air $=0.2 \mathrm{~m} / \mathrm{s}$; ...
1 1 answer
A community generates $1$ million litres/day (MLD) of wastewater. This wastewater is treated using activated sludge process (ASP). The working volume of the aeration tank...
1 1 answer
The analyses results of a water sample are given below. The non-carbonate hardness of the water (in $\mathrm{mg} / \mathrm{L}$ ) as $\mathrm{CaCO}_{3}$ is $\_\_\_\_\_\_\_...
0 0 answers
The shaft of a $6 \: \mathrm{m}$ wide gate in the figure will fail at a moment of $3924 \: \mathrm{kN} . \mathrm{m}$ about the hinge $P$. The maximum value of water depth...
1 1 answer
The peak of flood hydrograph due to a $3$-hour duration storm in a catchment is $180 \mathrm{~m}^{3} / \mathrm{s}$. The total rainfall depth is $6.6 \: \mathrm{cm}$. It c...
1 1 answer
A $60 \: \mathrm{cm}$ diameter well completely penetrates a confined aquifer of permeability $5 \times 10^{-4} \mathrm{~m} / \mathrm{s}$. The length of the strainer (span...
1 1 answer
A $4 \times 4$ group pile, with each pile $20 \: \mathrm{m}$ long and $500 \: \mathrm{mm}$ in diameter, is installed in a square pattern in a clayey soil, as shown in the...
1 1 answer
A designer used plate load test to obtain the value of the bearing capacity factor $N_{\gamma}$. A circular plate of $1 \: \mathrm{m}$ diameter was placed on the surface ...
0 0 answers
The bank of a canal has the profile shown in the figure. The material is a homogeneous clay with a bulk unit weight of $20 \: \mathrm{kN} / \mathrm{m}^{3}$, undrained coh...
0 0 answers
A reinforced concrete beam has a support section with width of $300 \: \mathrm{mm}$ and effective depth of $500 \: \mathrm{mm}$ . The support section is reinforced with $...
1 1 answer
The figure shows a network diagram for a construction project. The activities $\mathrm{A}$, $\mathrm{B}$, $\mathrm{C}, \mathrm{D}, \mathrm{E}$, and $\mathrm{F}$ are repre...
0 0 answers
A steel beam supported by three parallel pin-jointed steel rods is shown in the figure. The moment of inertia of the beam is $8 \times 10^{7} \mathrm{~mm}^{4}$. Take modu...
0 0 answers
Consider a discrete random variable $X$ whose probabilities are given below. The standard deviation of the random variable is $\_\_\_\_\_\_\_\_\_$ (round off to one decim...
0 0 answers
The free flow speed of a highway is $100 \mathrm{~km} / \mathrm{h}$ and its capacity is $4000 \text{ vehicle}/ \mathrm{h}$. Assume speed density relation is linear.For a ...
0 0 answers
A compound has a general formula $\mathrm{C}_{\mathrm{a}} \mathrm{H}_{\mathrm{b}} \mathrm{O}_{\mathrm{c}} \mathrm{N}_{\mathrm{d}}$ and molecular weight $187$. A $935 \: \...
1 1 answer
The drag force, $F_{D}$ on a sphere due to a fluid flowing past the sphere is a function of viscosity, $\mu$, the mass density, $\rho$, the velocity of flow, $V$, and the...
0 0 answers
In the context of shear strength of soil, which of the following statements is/are CORRECT?The unconfined compression test is a special case of the unconsolidated-undrain...
1 1 answer
In the pin-jointed truss shown in the figure, the members that carry zero force are identified. Which of the following options is/are zero-force members?$\text{BC}$$\text...
2 2 answers
Pick the CORRECT eigen value(s) of the matrix $[A]$ from the following choices.$$[A]=\left[\begin{array}{ll} 6 & 8 \\ 4 & 2 \end{array}\right]$$$10$$4$$-2$$-10$
1 1 answer
Consider the function given below and pick one or more CORRECT statement(s) from the following choices.$$f(x)=x^{3}-\frac{15}{2} x^{2}+18 x+20$$$f(x)$ has a local minimum...
1 1 answer
Match the following in $\textbf{Column I}$ with $\textbf{Column II}$.$$ \begin{array}{|l|l|} \hline \textbf{Column I} & \textbf{Column II} \\\hline (1) \text{Vehicle Dam...
1 1 answer
Consider flow in a long and very wide rectangular open channel. Width of the channel can be considered as infinity compared to the depth of flow. Uniform flow depth is $1...
0 0 answers
For a partially saturated soil deposit at a construction site, water content $(w)$ is $15 \%$, degree of saturation $(S)$ is $67 \%$, void ratio $(e)$ is $0.6$ and specif...
0 0 answers
Consider a reinforced concrete beam section of $350 \: \mathrm{mm}$ width and $600\: \mathrm{mm}$ depth. The beam is reinforced with the tension steel of $800 \mathrm{~mm...
0 0 answers
Let the state of stress at a point in a body be the difference of two plane states of stress shown in the figure. Consider all the possible planes perpendicular to the $x...
1 1 answer
The figure shows a propped cantilever with uniform flexural rigidity $E I$ (in $\mathrm{N} . \mathrm{m}^{2}$ ) and subjected to a moment $M$ (in $\mathrm{N.m}$). Consider...
0 0 answers
A circular tube of thickness $10 \: \mathrm{mm}$ and diameter $250\: \mathrm{mm}$ is welded to a flat plate using $5\: \mathrm{mm}$ fillet weld along the circumference. A...
1 1 answer
Pick the CORRECT solution for the following differential equation$$\frac{d y}{d x}=e^{x-y}$$$y=\ln \left(e^{x}+\right.$ Constant $)$$\ln (y)=x+$ Constant$\ln (y)=\ln \lef...
1 1 answer
A surveyor measured the distance between two points on the plan drawn to a scale of $1 \mathrm{~cm}=40 \mathrm{~m}$ and the result was $468 \: \mathrm{m}$. Later, it was ...
0 0 answers
Free residual chlorine concentration in water was measured to be $2 \mathrm{mg} / 1\left(\right.$ as $\left.\mathrm{Cl}_{2}\right)$. The pH of water is $8.5$. By using th...
0 0 answers
Consider steady flow of water in the series pipe system shown below, with specified discharge. The diameters of Pipes $A$ and $B$ are $2 \: \mathrm{m}$ and $1\: \mathrm{m...
1 1 answer
A $6 \: \mathrm{m}$ thick clay stratum has drainage at both its top and bottom surface due to the presence of sand strata. The time to complete $50 \%$ consolidation is $...
1 1 answer
From a flow-net diagram drawn under a concrete dam, following information are obtained: (i) The head difference between upstream and downstream side of the dam is $9 \: \...
0 0 answers
The design shear strength of a reinforced concrete rectangular beam with a width of $250 \: \mathrm{mm}$ and an effective depth of $500 \: \mathrm{mm}$, is $0.3 \: \mathr...
1 1 answer
The "order" of the following ordinary differential equation is $\_\_\_\_\_\_\_\_\_\_$$$\frac{d^{3} y}{d x^{3}}+\left(\frac{d^{2} y}{d x^{2}}\right)^{6}+\left(\frac{d y}{d...
1 1 answer
Which of the following statements is/are INCORRECT?Bitumen having lower softening point is preferred in warm climate regions.The viscosity of bitumen influences the mixin...
1 1 answer
Identify the treatment technology/technologies NOT recommended for highly biodegradable organic solid wastes.BiohydrogenationAnaerobic digestionCompostingOpen dumping
0 0 answers
In the context of the effect of drainage density on the run-off generation and the hydrograph at the catchment outlet, all other factors remaining the same, pick one or m...
1 1 answer
Pick one or more CORRECT statement(s) from the choices given below, in the context of upstream and downstream cut-offs provided below the concrete apron of weirs / barrag...
0 0 answers
In the context of construction materials, which of the following statements is/are CORRECT?If the characteristic strength is defined as that value below which not more th...
0 0 answers
Given that $A$ and $B$ are not null sets, which of the following statements regarding probability is/are CORRECT?$\mathrm{P}(\mathrm{A} \cap \mathrm{B})=\mathrm{P}(\mathr...
1 1 answer
Consider a velocity vector, $\vec{V}$ in $(x, y, z)$ coordinates given below. Pick one or more CORRECT statements(s) from the choices given below.$$\vec{V}=u \vec{x}+v \v...
1 1 answer
The point where the road alignment changes from a tangent to a curve is known as $\_\_\_\_\_\_\_\_$Point of deflectionPoint of intersectionPoint of curvePoint of tangency
1 1 answer
After applying the correction for elevation and temperature, the runway length is $700 \: \mathrm{m}$. The corrected runway length (in $\mathrm{m}$) for an effective grad...
1 1 answer
The recommended minimum traffic growth rate and design period considered for structural design of flexible pavements for national highways in India as per $\mathrm{IRC} \...
1 1 answer
The bacteria mainly responsible for crown corrosion in a sewer is $\_\_\_\_\_\_\_\_\_$Methanogenic bacteriaDenitrifying bacteriaSulphur reducing bacteriaPseudomonas bacte...
1 1 answer
A hydraulic jump occurs in an open channel when the slope of the channel changes from $\_\_\_\_\_\_\_\_\_\_$MILD slope to STEEP slopeSTEEP slope to MILD slopeMILD slope t...
0 0 answers
Consider the pin-jointed truss shown in the figure. Influence line is drawn for the axial force in the member G-I, when a unit load travels on the bottom chord of the tru...