#161
0 0 votes
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...
#162
0 0 votes
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 \: \...
#163
0 0 votes
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 $...
#164
0 0 votes
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...
#165
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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...
#166
0 0 votes
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 ...
#167
0 0 votes
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 $)$$\ln (y)=x+$ Constant$\ln (y)=\ln \lef...
#168
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0 0 answers
A circular tube of thickness $10 \: \mathrm{mm}$ and diameter $250\: \mathrm{mm}$ is welded to a flat plate using $5\: \mathrm{mm}$ fillet weld along the circumference. A...
#169
0 0 votes
1 1 answer
The figure shows a propped cantilever with uniform flexural rigidity $E I$ (in $\mathrm{N} . \mathrm{m}^{2}$ ) and subjected to a moment $M$ (in $\mathrm{N.m}$). Consider...
#170
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0 0 answers
Let the state of stress at a point in a body be the difference of two plane states of stress shown in the figure. Consider all the possible planes perpendicular to the $x...
#171
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0 0 answers
Consider a reinforced concrete beam section of $350 \: \mathrm{mm}$ width and $600\: \mathrm{mm}$ depth. The beam is reinforced with the tension steel of $800 \mathrm{~mm...
#172
0 0 votes
0 0 answers
For a partially saturated soil deposit at a construction site, water content $(w)$ is $15 \%$, degree of saturation $(S)$ is $67 \%$, void ratio $(e)$ is $0.6$ and specif...
#173
0 0 votes
1 1 answer
Consider flow in a long and very wide rectangular open channel. Width of the channel can be considered as infinity compared to the depth of flow. Uniform flow depth is $1...
#174
0 0 votes
1 1 answer
Match the following in $\textbf{Column I}$ with $\textbf{Column II}$.$$ \begin{array}{|l|l|} \hline \textbf{Column I} & \textbf{Column II} \\\hline (1) \text{Vehicle Dam...
#175
0 0 votes
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...
#176
0 0 votes
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$$-10$
#177
0 0 votes
1 1 answer
In the pin-jointed truss shown in the figure, the members that carry zero force are identified. Which of the following options is/are zero-force members?$\text{BC}$$\text...
#178
0 0 votes
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...
#179
0 0 votes
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...
#180
0 0 votes
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 \: \...
#181
0 0 votes
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 ...
#182
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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...
#183
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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...
#184
0 0 votes
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...
#185
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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 $...
#186
0 0 votes
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...
#187
0 0 votes
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 ...
#188
0 0 votes
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...
#189
0 0 votes
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...
#190
0 0 votes
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...
#191
0 0 votes
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...
#192
0 0 votes
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 $\_\_\_\_\_\_\_...
#193
0 0 votes
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...
#194
0 0 votes
0 0 answers
A settling chamber is used for the removal of discrete particulate matter from air with following conditions. Horizontal velocity of air $=0.2 \mathrm{~m} / \mathrm{s}$; ...
#195
0 0 votes
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...
#196
0 0 votes
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 $\_\_\_\_\_...
#197
0 0 votes
2 2 answers
​Is there any good show $\_\_\_\_$ television tonight?Select the most appropriate option to complete the above sentence.inatwithinon
#198
0 0 votes
1 1 answer
​​​​As the police officer was found guilty of embezzlement, he was _________ dismissed from the service in accordance with the Service Rules.Select the most appropriate o...
#199
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0 0 answers
​​​​The sum of the following infinite series is:$$ \frac{1}{1!}+\frac{1}{2!}+\frac{1}{3!}+\frac{1}{4!}+\frac{1}{5!}+\cdots $$$\pi$$1+e$$e-1$$e$
#200
1 1 vote
0 0 answers
​​​A thin wire is used to construct all the edges of a cube of $1 \: \mathrm{m}$ side by bending, cutting and soldering the wire. If the wire is $12 \: \mathrm{m}$ long, ...