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Recent questions tagged numerical-answers

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GATE2015-1-48
The $4$-hr unit hydrograph for a catchment is given in the table below. What would be the maximum ordinate of the S – curve (in $m^3/s$) derived from this hydrograph?$$\b...
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GATE2015-1-51
The acceleration-time relationship for a vehicle subjected to non-uniform acceleration is,$$\dfrac{dv}{dt} = (\alpha\: – \beta v_0) e^{ - \beta t}$$where, $v$ is the spee...
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GATE Civil 2014 Set 2 | GA | Question: 10
$10\%$ 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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GATE Civil 2014 Set 2 | GA | Question: 4
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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GATE2014-2-54
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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GATE2014-2-53
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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GATE2014-2-50
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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GATE2014-2-46
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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GATE2014-2-47
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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GATE2014-2-48
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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GATE2014-2-44
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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GATE2014-2-37
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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GATE2014-2-39
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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GATE2014-2-41
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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GATE2014-2-43
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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GATE2014-2-31
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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GATE2014-2-32
The axial load (in kN) in the member PQ for the arrangement/assembly shown in the figure given below is ______________
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GATE2014-2-36
For the state of stresses (IN MPa) shown in the figure below, the maximum shear stress (in MPa) is __________
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GATE2014-2-29
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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GATE2014-2-28
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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GATE2014-2-27
An observer counts $240$ veh/h at a specific highway location. Assume that the vehicle arrival at the location is Poisson distributed, the probability of having one havin...
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GATE2014-2-23
The average spacing between vehicles in a traffic stream is $50$ m, then the density (in veh/km) of the stream is _______
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GATE2014-2-12
The static indeterminacy of the two-span continuous beam with an internal hinge, shown below, is _______
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GATE2014-2-16
A certain soil has the following properties: $G_s=2.71$, $n=40 \%$ and $w=20 \%$. The degree of saturation of the soil (rounded off to the nearest percent) is ______
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GATE2014-2-8
Polar moment of inertia $(I_p)$, in $cm^4$, of a rectangular section having width, $b=2$ cm and depth, $d=6$ cm is _______
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GATE2014-2-10
The flexural tensile strength of $M25$ grade of concrete, in $N/mm^2$, as per $IS:456-2000$ is _______
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GATE2014-2-2
The determinant of matrix $\begin{bmatrix} 0 & 1 & 2 & 3 \\ 1 & 0 & 3 & 0 \\ 2 & 3 & 0 & 1 \\ 3 & 0 & 1 & 2 \end{bmatrix}$ is ________
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GATE Civil 2014 Set 1 | GA | Question: 8
The smallest angle of a triangle is equal to two thirds of the smallest angle of a quadrilateral. The ratio between the angles of the quadrilateral is $3:4:5:6.$ The larg...
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GATE Civil 2014 Set 1 | GA | Question: 5
A foundry has a fixed daily cost of Rs $50,000$ whenever it operates and a variable cost of Rs $800Q,$ where $Q$ is the daily production in tonnes. What is the cost of pr...
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GATE2014-1-53
An isolated three-phase traffic signal is designed by Webster’s method. The critical flow ratios for three phases are $0.20$, $0.30$, and $0.25$ respectively, and lost ti...
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GATE2014-1-50
A traffic survey conducted on a road yields an average daily traffic count of $5000$ vehicles. The axle load distribution on the same road is given in the following table...
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GATE2014-1-51
The perception-reaction time for a vehicle travelling at $90$ km/h, given the coefficient of longitudinal friction of $0.35$ and the stopping sight distance of $170$ m (a...
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GATE2014-1-49
A straight $100$ m long raw water gravity main is to carry water from an intake structure to the jack well of a water treatment plant. The required flow through this wate...
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GATE2014-1-52
The speed-density $(u-k)$ relationship on a single lane road with unidirectional flow is $u=70-0.77k$, where $u$ is in km/hr and $k$ is in veh/km. The capacity of the roa...
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GATE2014-1-42
A venturimeter, having a diameter of $7.5$ cm at the throat an $15$ cm at the enlarged end, is installed in a horizontal pipeline of $15$ cm diameter. The pipe carries an...
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GATE2014-1-45
An incompressible fluid is flowing at a steady rate in a horizontal pipe. From a section, the pipe divides into two horizontal parallel pipes of diameters $d_1$ and $d_2$...
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GATE2014-1-39
The following data are given for the laboratory sample.$\sigma_0=175$ kPa; $e_0 =1.1$; $\sigma_0 + \Delta \sigma_0 =300$ kPa; $e=0.9$If thickness of the clay specimen is...
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GATE2014-1-35
For a beam of cross-section, width $=230$ mm and effective depth $=500$ mm, the number of rebars of $12$ mm diameter required to satisfy minimum tension reinforcement req...
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GATE2014-1-40
The flow net constructed for the dam is shown in the figure below. Taking the coefficient of permeability as $3.8 \times 10^{-6}$ m/s, the quantity of flow (in $cm^3/s$) ...
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GATE2014-1-31
For the cantilever beam of span $3$ m (shown below) m concentrated load of $20 \: kN$ applied at the free end causes a vertical displacement of $2$ mm at a section locate...
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