Recent questions tagged gate2014-ce-2

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Moving into a world of big data will require us to change our thinking about the merits of exactitude. To apply the conventional mindset of measurement to the digital, co...
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$X$ is $1$ km northeast of $Y.$ $Y$ is $1$ km southeast of $Z.$ $W$ is $1$ km west of $Z.$ $P$ is $1$ km south of $W.$ $Q$ is $1$ km east of $P.$ What is the distance bet...
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The total exports and revenues from the exports of a country are given in the two pie charts below.The pie chart for exports shows the quantity of each item as a percenta...
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In a group of four children, Som is younger to Riaz. Shiv is elder to Ansu. Ansu is youngest in the group. Which of the following statements is/are required to find the e...
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$10\%$ of the population in a town is $HIV^{+}$. A new diagnostic kit for HIV detection is available, this kit correctly identifies $HIV^{+}$ individuals $95\%$ of the ti...
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Which of the following options is the closest in meaning to the sentence below?“As a woman, I have no country”.Women have no country.Women are not citizens of any country...
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Choose the most appropriate word from the options given below to complete the following sentence.____________ is the key to their happiness, they are satisfied with what ...
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Choose the most appropriate word from the options given below to complete the following sentence.A person suffering from Alzheimer’s disease ____________ short-term memor...
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The population of a new city is $5$ million and is growing at $20\%$ annually. How many years would it take to double at this growth rate?$3-4$ years$4-5$ years$5-6$ year...
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In any given year, the probability of an earthquake greater than Magnitude $6$ occurring in the Garhwal Himalayas is $0.04.$ The average time between successive occurrenc...
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A student riding a bicycle on a $5$ km one-way street takes $40$ minutes to reach home. The student stopped for $15$ minutes during this ride. $60$ vehicles overtook the ...
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A tacheometer was placed at point $P$ to estimate the horizontal distances $PQ$ and $PR$. The corresponding stadia intercepts with the telescope kept horizontal, are $0.3...
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On a section of a highway the speed-density relationship is linear an is given by $v=\big[80 – \dfrac{2}{3}k\big]$; where $v$ is in km/h and $k$ is in veh/km. The capacit...
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A pre-timed four phase signal has critical lane flow rate for the first three phases as $200$, $187$ and $210$ veh/hr with saturation flow rate of $1800$ veh/hr/lane for ...
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In a Marshall sample, the bulk specific gravity of mix and aggregates are $2.324$ and $2.546$ respectively. The sample includes $5 \%$ of bitumen (by total weight of mix)...
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The chainage of the intersection point of two straight is $1585.60$ m and the angle of intersection is $140^{\circ}$. If the radius of a circular curve is $600.00$ m, the...
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A suspension of sand like particles in water with particles of diameter $0.10$ mm and below is flowing into a settling tank at $0.10 \: m^3/s$. Assume $g=9.81 \: m/s^2$, ...
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A surface water treatment plant operates round the clock with a flow rate of $35 \: m^3/min$. The water temperature is $15^{\circ}C$ and jar testing indicated an alum dos...
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With reference to a standard Cartesian (x, y) plane, the parabolic velocity distribution profile of fully developed laminar flow in x-direction between two parallel, stat...
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An effluent at a flow rate of $2670 \: m^3/d$ from a sewage treatment plant is to be disinfected. The laboratory data of disinfection studies with a chlorine dosage of $1...
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A waste water stream (flow $=2 m^3/s$, ultimate BOD$=90$ mg/l) is joining a small river (flow $=12 \: m^3/s$, ultimate BOD $=5$ mg/l). Both water streams get mixed up ins...
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Irrigation water is to be provided to a crop in a field to bring the moisture content of the soil from the existing $18 \%$ to the field capacity of the soil at $28 \%$. ...
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An infinitely long slope is made up of a $c-\phi$ soil having the properties: cohesion $(c)=20$ kPa, and dry unit weight $(\gamma_d)=16 \: kN/m^3$. The angle of inclinati...
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Group I enlists in-situ field tests carried out for soil exploration, while Group II provides a list of parameters for sub-soil strength characterization. Match the type ...
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A single vertical friction pile of diameter $500$ mm and length $20$ m is subjected to a vertical compressive load. The pile is embedded in a homogeneous sandy stratum wh...
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A circular raft foundation of $20$ m diameter and $1.6$ m thick is provided for a tank that applies a bearing pressure of $110$ kPa on sandy soil with Young’s modulus, $E...
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A horizontal nozzle of $30$ mm diameter discharges a steady jet of water into the atmosphere at a rate of $15$ litres per second. The diameter of inlet to the nozzle is $...
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A venturimeter having a throat diameter of $0.1$ m is used to estimate the flow rate of a horizontal pipe having a diameter of $0.2$ m. For an observed pressure differenc...
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A rectangular channel of $2.5$ m width is carrying a discharge of $4 \: m^3/s$. Considering that acceleration due to gravity as $9.81 \: m/s^2$, the velocity of flow (in ...
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Considering the symmetric of a rigid frame as shown below, the magnitude of the bending moment (in kNm) at P (preferably using the moment distribution method) is$170$$172...
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The tension (in kN) in a $10$ m long cable, shown in the figure, neglecting its self-weight is$120$$75$$60$$45$
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A prismatic beam (as shown below) has plastic moment capacity of $M_p$, then the collapse load $P$ of the beam is$\dfrac{2M_p}{L} \\$$\dfrac{4M_p}{L} \\$$\dfrac{6M_p}{L} ...
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The values of axial stress $(\sigma)$ in $kN/m^2$, bending moment $(M)$ in kNm, and shear force $(V)$ in kN acting at point P fr the arrangement shown in the figure are r...
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The beam of an overall depth $250$ mm (shown below) is used in a building subjected to two different thermal environments. The temperatures at the top and bottom surfaces...
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The axial load (in kN) in the member PQ for the arrangement/assembly shown in the figure given below is ______________
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For the state of stresses (IN MPa) shown in the figure below, the maximum shear stress (in MPa) is __________
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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 of side friction is $0.10$, the minimum rad...
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Water is flowing at a steady rate through a homogeneous and saturated horizontal soil strip of $10$ m length. The strip is being subjected to a constant water head $(H)$ ...
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The rank of the matrix $\begin{bmatrix} 6 & 0 & 4 & 4 \\ -2 & 14 & 8 & 18 \\ 14 & -14 & 0 & -10 \end{bmatrix}$ is _________
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The expression $\displaystyle{} \lim_{a \to 0} \dfrac{x^a-1}{a}$ is equal to$\log x$$0$$x \log x$$\infty$