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A fixed end beam is subjected to a load, W at $1/3$ rd span from the left support as shown in the figure. The collapse load of the beam is:$16.5 M_p/L$$15.5 M_p/L$$15.0 M...
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A $588 \: cm^3$ volume of moist sand weighs $1010$ gm. Its dry weight is $918$ gm and specific gravity of solids, $G$ is $2.67$. Assuming density of water as $1 \: gm/cm^...
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A $4$ m thick layer of normally consolidated clay has an average void ratio of $1.30$. Its compression index is $0.6$ and coefficient of consolidation is $1 \: m^2/yr$. I...
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A pile of diameter $0.4$ m is fully embedded in a clay stratum having $5$ layers, each $5$ m thick as shown in the figure below. Assume a constant unit weight of soil as ...
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Stress path equation for tri-axial test upon application of deviatoric stress is, $q=10 \sqrt{3}+0.5p$. The respective values of cohesion, $c$ (in kPa) and angle of inter...
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A $6$ m high retaining wall having a smooth vertical back face retains a layered horizontal backfill. Top $3$ m thick layer of the backfill is sand having an angle of int...
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A field channel has cultivable commanded are of $2000$ hectares. The intensities of irrigation for gram and wheat are $30 \%$ and $50\%$ respectively. Gram has a kor peri...
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A triangular gate with a base width of $2$ m and a height of $1.5$ m lies in a vertical plane. The top vertex of the gate is $1.5$ m below the surface of a tank which con...
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The velocity components of a two dimensional plane motion of a fluid are $:u=\dfrac{y^3}{3}+2x—x^2y$ and $v=xy^2-2y-\dfrac{x^3}{3}$. The correct statement is:Fluid is inc...
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The average surface area of a reservoir in the month of June is $20 \: km^2$. In the same month, the average rate of inflow is $10 \: m^3/s$, outflow rate is $15 \: m^3/s...
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A pipe of $0.7$ m diameter has a length of $6$ km and connects two reservoirs A and B. The water level in reservoir A is at an elevation $30$ m above the water level in r...
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A landfill is to be designed to serve a population of $200000$ for a period of $25$ years. The solid waste (SW) generation is $2$ kg/person/day. The density of the un-com...
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A water treatment plant of capacity, $1 \: m^3/s$ has filter boxed of dimensions $6 \; m \times 10 \: m$. Loading rate to the filters is $120 \: m^3/day/m^2$. When two of...
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Ultimate BOD of a river water sample is $20$ mg/L. BOD rate constant (natural log) is $0.15 \: day^{-1}$. The respective values of BOD (in $\%$) exerted and remaining aft...
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In a wastewater treatment plant, primary sedimentation tank (PST) designed at an overflow rate of $32.5 \: m^3/day/m^2$ is $32.5$ m long, $8.0$ m wide and liquid depth of...
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The relation between speed $u$ (in km/h) and density $k$ (number of vehicles/km) for a traffic stream on a road is $u=70-0.7k$. The capacity on this road is _________ vph...
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Match the information related to tests on aggregates given in Group – I with that in Group – II.$\begin{array}{ll} \text{Group – I} & \text{Group – II} \\ P. \text{Resist...
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In Marshall method of mix design, the coarse aggregate, fine aggregate, fines and bitumen having respective values of specific gravity $2.60, 2.70, 2.65$ and $1.01$, are ...
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The bearings of two inaccessible stations, $S_1$ (Easting $500$ m, Northing $500$ m) and $S_2$ (Easting $600$ m, Northing $450$ m) from a station $S_3$ were observed as $...
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Two Pegs A and B were fixed on opposite banks of a $50$ m wide river. The level was set up at A and the staff readings on Pegs A and B were observed as $1.350$ m and $1.5...
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Extreme focus on syllabus and studying for tests has become such a dominant concern of Indian students that they close their minds to anything_________ to the requirement...
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Select the pair that best expresses a relationship similar to that expressed in the pair:Children $:$ PediatricianAdult $:$ OrthopaedistFemales $:$ GynaecologistKidney $:...
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The Tamil version of ___________ John Abraham-starrer Madras Cafe __________ cleared by the Censor Board with no cuts last week, but the film’s distributors _________ no ...
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If ROAD is written as URDG, then SWAN should be written as:VXDQVZDQVZDPUXDQ
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A function $f(x)$ is linear and has a value of $29$ at $x=-2$ and $39$ at $x=3.$ Find its value at $x=5.$$59$$45$$43$$35$
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Alexander turned his attention towards India, since he had conquered Persia.Which one of the statement below is logically valid and can be inferred from the above senten...
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Most experts feel that in spite of possessing all the technical skills required to be a batsman of the highest order he is unlikely to be so due to lack of requisite temp...
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The exports and imports (in crores of Rs.) of a country from the year $2000$ to $2007$ are given in the following bar chart. In which year is the combined percentage incr...
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Choose the most appropriate equation for the function drawn as a thick line, in the plot below.$x=y – \mid y \mid $$x=-(y – \mid y \mid )$$x=y+ \mid y \mid $$x=-(y+\mid...
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The head of a newly formed government desires to appoint five of the six selected members $P, Q, R, S, T, $and $U$ to portfolios of Home, Power, Defense, Telecom, and Fin...
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For what value of $p$ the following set of equations will have no solution?$2x+3y=5$$3x+py=10$
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The integral $\int_{x_{1}}^{x_{2}}x^{2}\:dx$ with $x_{2}>x_{1}>0$ is evaluated analytically as well as numerically using a single application of the trapezoidal rule. If ...
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Consider the following probability mass function (p.m.f) of a random variable $X:$$$p(x,q) = \begin{cases} q & \text{ if } X=0 \\ 1 – q & \text{ if } X=1 \\ 0 & \text{oth...
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Workability of concrete can be measured using slump, compaction factor and Vebe time. Consider the following statements for workability of concrete.As the slump increases...
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Consider the following statements for air-entrained concrete:Air-entrainment reduces the water demand for a given level of workabilityUse of air-entrained concrete is re...
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Consider the singly reinforced beam shown in the figure below:At cross-section $XX$, which of the following statements is TRUE at the limit state?The variation of stress ...
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For the beam shown below, the stiffness coefficient $K_{22}$ can be written as$\dfrac{6EI}{L^2} \\$$\dfrac{12EI}{L^3} \\$$\dfrac{3EI}{L} \\$$\dfrac{EI}{6L^2}$
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The development length of a deformed reinforcement bar can be expressed as $(1/k) (\phi \sigma_s / \tau_{bd})$. From the $IS: 456 – 2000$, the value of $k$ can be calcula...
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For the beam shown below, the value of the support moment $M$ is _____ $kN-m$.
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Two triangular wedges are glued together as shown in the following figure. The stress acting normal to the interface, $\sigma_n$ is _______ MPa.