Recent questions tagged numerical-answers / GO Civil

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401

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 $15$ mg/l yield the model $N_t=N_oe^{-0.145t}$ where $N_t=$ number of micro-organisms surviving ... (at $t=0$). The volume of disinfection unit (in $m^3$) required to achieve a $98\%$ kill micro-organisms is __________

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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402

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 $28 \%$. The effective root zone of the crop is $70$ cm. If the densities of the soil and water ... $1.0 \: gm/cm^3$ respectively, the depth of irrigation water (in mm) required for irrigating the crop is ________

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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403

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 $g=9.81 \: m/s^2$, specific gravity of particles $=2.65$ ... are (in $m^2$) required for this settling tank to remove particles of size $0.06$ mm and above with $100 \%$ efficiency is ___________

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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404

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 inclination and critical height of the slope are $40^{\circ}$ and $5$ m respectively. To maintain the limiting equilibrium, the angle of internal friction of the soil (in degrees) is _______

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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405

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 where; angle of internal friction $(\phi)=30^{\circ}$ ... $(K)=2.7$ and the bearing capacity factor $(N_q)=25$, the ultimate bearing capacity of the pile (in kN) is ________

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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406

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 $100$ mm. The jet impinges normal to a flat stationary plate held close to the nozzle end. ... considering the density of water as $1000 \: kg/m^3$, the force exerted by the jet (in N) on the plate is __________

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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407

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 m/s) corresponding to the critical depth (at which the specific energy is minimum) is _________

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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408

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 of the beam are $36^{\circ}$ and $72^{\circ}$ respectively. Considering coefficient of thermal ... per $^{\circ}C$, the vertical deflection of the beam (in mm) at its mid-span due to temperature gradient is ________

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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409

GATE2014-2-32
The axial load (in kN) in the member PQ for the arrangement/assembly shown in the figure given below is ______________

The axial load (in kN) in the member PQ for the arrangement/assembly shown in the figure given below is ______________

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410

GATE2014-2-36
For the state of stresses (IN MPa) shown in the figure below, the maximum shear stress (in MPa) is __________

For the state of stresses (IN MPa) shown in the figure below, the maximum shear stress (in MPa) is __________

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411

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 $(H)$ of $5$ m at the beginning and $1$ m at the end. If the governing equation of flow in the soil ... $x$ is the distance along the soil strip), the value of $H$ (in m) at the middle of the strip is _______

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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412

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 _________

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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413

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 having vehicle arriving over a $30$-second time interval is _________

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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414

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 _______

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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415

GATE2014-2-12
The static indeterminacy of the two-span continuous beam with an internal hinge, shown below, is _______

The static indeterminacy of the two-span continuous beam with an internal hinge, shown below, is _______

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416

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 ______

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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417

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 _______

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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418

GATE2014-2-10
The flexural tensile strength of $M25$ grade of concrete, in $N/mm^2$, as per $IS:456-2000$ is _______

The flexural tensile strength of $M25$ grade of concrete, in $N/mm^2$, as per $IS:456-2000$ is _______

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419

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 ________

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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420

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 largest angle of the triangle is twice its smallest angle. What is the sum, in degree, of the second largest angle of the triangle and the largest angle of the quadrilateral?

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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421

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 production in Rs per tonne for a daily production of $100$ tonnes?

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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422

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 (assume $g=9.81 \: m/s^2$), is _____ seconds.

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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423

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 water main is $0.21 \: m^3/s$. Allowable velocity through the main is $0.75$ m/ ... (in $cm/100$ m length) to be given to this gravity main so that the required amount of water flows without any difficulty is ___________

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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424

GATE2014-1-50
A traffic survey conducted on a road yields an average daily traffic count of $5000$ ... the vehicle damage factor (VDF) is calculated from the above data, the design traffic (in million standard axle load, MSA) is ________

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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425

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 road (in veh/hr) is ___________

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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426

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 time per phase is $4$ seconds. The optimum cycle length (in seconds) is ____________

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 ...

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427

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 incompressible fluid at a steady rate of $30$ litres per second, The difference of ... as $9.81 \: m/s^2$, the coefficient of discharge of the venturimeter (correct up to two places of decimal) is ____________

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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428

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 $d_2$ (where $d_1 =4d_2$) that run for a distance of $L$ each and then ... only and the Darcy-Weisbach friction factor to be the same. The velocity ratio between the bigger and the smaller branched pipes is ____________

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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429

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 $25$ mm, the value of coefficient of volume compressibility is ______ $\times 10^{-4} m^2/kN$

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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430

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 requirement specified by $IS: 456-2000$ (assuming grade of steel reinforcement as $Fe500$ is ________

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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431

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 $cm^3/s$) under the dam per meter of dam is __________

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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432

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 located at a distance of $1$ m from the fixed end. If a concentrated vertically downward load ... m from the fixed end (with no other load on the beam), the maximum vertical displacement in the same beam (in mm) is ______

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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433

GATE2014-1-28
A particle moves along a curve whose parametric equations are: $x=t^3+2t$, $y=-3e^{-2t}$ and $z=2 \sin (5t)$, where $x$, $y$ and $z$ show variations of the distance covered by the particle (in cm) with time $t$ (in s). The magnitude of the acceleration of the particle (in $cm/s^2$) at $t=0$ is ________

A particle moves along a curve whose parametric equations are: $x=t^3+2t$, $y=-3e^{-2t}$ and $z=2 \sin (5t)$, where $x$, $y$ and $z$ show variations of the distance cover...

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434

GATE2014-1-32
For the truss shown below, the member $PQ$ is short by $3$ mm. The magnitude of vertical displacement of joint $R$ (in mm) is ______

For the truss shown below, the member $PQ$ is short by $3$ mm. The magnitude of vertical displacement of joint $R$ (in mm) is ______

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435

GATE2014-1-29
A traffic office imposes on an average $5$ number of penalties daily on traffic violators. Assume that the number of penalties on different days is independent and follows a Poisson distribution. The probability that there will be less than $4$ penalties in a day is ___________

A traffic office imposes on an average $5$ number of penalties daily on traffic violators. Assume that the number of penalties on different days is independent and follow...

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436

GATE2014-1-22
The amount of $CO_2$ generated (in kg) while completely oxidizing one kg of $CH_4$ to the end products is _________

The amount of $CO_2$ generated (in kg) while completely oxidizing one kg of $CH_4$ to the end products is _________

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437

GATE2014-1-17
An incompressible homogeneous fluid is flowing steadily in a variable diameter pipe having the large and small diameters as $15$ cm and $5$ cm, respectively. If the velocity at a section at the $15$ cm diameter portion of the pipe is $2.5$ m/s, the velocity of the fluid (in m/s) at a section falling in $5$ cm portion of the pipe is _______

An incompressible homogeneous fluid is flowing steadily in a variable diameter pipe having the large and small diameters as $15$ cm and $5$ cm, respectively. If the velo...

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438

GATE2014-1-9
While designing, for a steel column of $Fe250$ grade, a base plate resting on a concrete pedestal of $M20$ grade, the bearing strength of concrete (in $N/mm^2$) in limit state method of design as per $IS:456-2000$ is ________

While designing, for a steel column of $Fe250$ grade, a base plate resting on a concrete pedestal of $M20$ grade, the bearing strength of concrete (in $N/mm^2$) in limit ...

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439

GATE2014-1-5
With reference to the conventional Cartesian $(x,y)$ coordinate system, the vertices of a triangle have the following coordinates: $(x_1, y_1) = (1,0)$; $(x_2,y_2) = (2,2)$; and $(x_3,y_3)=(4,3)$. The area of the triangle is equal to $\dfrac{3}{2} \\$ $\dfrac{3}{4} \\$ $\dfrac{4}{5} \\$ $\dfrac{5}{2}$

With reference to the conventional Cartesian $(x,y)$ coordinate system, the vertices of a triangle have the following coordinates: $(x_1, y_1) = (1,0)$; $(x_2,y_2) = (2,2...

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440

GATE2014-1-2
Given the matrices $J=\begin{bmatrix} 3 & 2 & 1 \\ 2 & 4 & 2 \\ 1 & 2 & 6 \end{bmatrix}$ and $K = \begin{bmatrix} 1 \\ 2 \\ -1 \end{bmatrix}$, the product of $K^TJK$ is _______

Given the matrices $J=\begin{bmatrix} 3 & 2 & 1 \\ 2 & 4 & 2 \\ 1 & 2 & 6 \end{bmatrix}$ and $K = \begin{bmatrix} 1 \\ 2 \\ -1 \end{bmatrix}$, the product of $K^TJK$ is _...

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