GATE 2025 Civil Engineering
230 questions across 4 sessions
Set 1
To derive the total flood hydrograph at a catchment outlet from an isolated storm, the order in which the following methods are applied, from the first method to the last method, i...
The mean rainfall over a catchment has to be estimated. The data for four rain gauges located in and around the catchment is listed in the table. Which one of the following stateme...
An object is said to have an n-fold rotational symmetry if the object, rotated by an angle of $\frac{2 \pi}{n}$, is identical to the original. Which one of the following objects ex...
A thin wire is used to construct all the edges of a cube of 1 m side by bending, cutting and soldering the wire. If the wire is 12 m long, what is the minimum number of cuts requir...
Let $y$ be the solution of the initial value problem $y^{\prime}+0.8 y+0.16 y=0$ where $y(0)=3$ and $y^{\prime}(0)=4.5$. Then, $y(1)$ is equal to__________ (rounded off to 1 decima...
A circle with center at $(x, y)=(0.5,0)$ and radius $=0.5$ intersects with another circle with center at $(x, \mathrm{y})=(1,1)$ and radius $=1$ at two points. One of the points of...
In an oedometer apparatus a specimen of fully saturated clay has been consolidated under a vertical pressure of 100 kPa and is at equilibrium state. Immediately on increasing the v...
$\mathrm{MgCl}_2$ and $\mathrm{CaSO}_4$ salts are added to 1 litre of distilled deionized water and mixed until completely dissolved. Total Dissolved Solids (TDS) concentration is...
The sum of the following infinite series is: $$ \frac{1}{1!}+\frac{1}{2!}+\frac{1}{3!}+\frac{1}{4!}+\frac{1}{5!}+\ldots $$
Is there any good show_________ television tonight? Select the most appropriate option to complete the above sentence.
Rohit goes to a restaurant for lunch at about 1 PM . When he enters the restaurant, he notices that the hour and minute hands on the wall clock are exactly coinciding. After about...
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 option to com...
"Why do they pull down and do away with crooked streets, I wonder, which are my delight, and hurt no man living? Every day the wealthier nations are pulling down one or another in...
A clayey soil has a moisture content of $18 \%$, a specific gravity of soil solids of 2.74 , and a degree of saturation of $65 \%$. The soil soaks up water during a rain event, and...
A single pile with 450 mm diameter has been driven into a homogeneous clay layer, which has an undrained cohesion ( $\mathrm{c}_{\mathrm{u}}$ ) of 20 kPa and unit weight of $18 \ma...
Consider a reinforced concrete beam section of 300 mm width and 700 mm depth. The beam is reinforced with the tension steel of $2000 \mathrm{~mm}^2$ area at an effective cover of 5...
As per IS 456:2000 provisions for two-way slabs with continuous edges, the longitudinal steel reinforcement to be provided in the edge strip is based on
The maximum degree of the curve that can be used for railways in a mountainous region is
All the vehicles that come during a particular peak hour come during a 10-minute period within this hour. The 15 -minute peak hour factor for this peak hour is
A one-way, single lane road has traffic that consists of $30 \%$ trucks and $70 \%$ cars. The speed of trucks (in km/h) is a uniform random variable on the interval ( 30,60 ), and...
$$ \text { The value of }\mathop {\lim }\limits_{x \to \infty } \left(x-\sqrt{x^2+x}\right) \text { is equal to }$$
Let $A=\left[\begin{array}{cc}1 & 1 \\ 1 & 3 \\ -2 & -3\end{array}\right]$ and $b=\left[\begin{array}{l}b_1 \\ b_2 \\ b_3\end{array}\right]$. For $\mathrm{Ax}=\mathrm{b}$ to be sol...
The maximum value of the function $h(x)=-x^3+2 x^2$ in the interval $[-1,1.5]$ is equal to _________ . (rounded off to 1 decimal place)
$X$ is the random variable that can take any one of the values, $0,1,7,11$ and 12 . The probability mass function for $X$ is $$ \begin{aligned} & \mathrm{P}(X=0)=0.4 ; \mathrm{P}(X...
Which of the following equations belong/belongs to the class of second-order, linear, homogeneous partial differential equations:
Organic fraction of municipal solid waste (OFMSW) with bulk density of $315 \mathrm{~kg} / \mathrm{m}^3$ and water content of $30 \%$ is mixed with municipal sludge of bulk density...
A facultative pond system is employed for wastewater treatment. Which of the following statements is/are true:
Consider the differential equation given below. Using the Euler method with the step size (h) of 0.5 , the value of $y$ at $x=1.0$ is equal to _________ (rounded off to 1 decimal p...
A hydrocarbon $\left(\mathrm{C}_n \mathrm{H}_m\right)$ is burnt in air $\left(\mathrm{O}_2+3.78 \mathrm{~N}_2\right)$. The stoichiometric fuel to air mass ratio for this process is...
Aeration is employed as a treatment option for the removal of several pollutants from contaminated water. Identify the pollutant(s), where aeration is employed as a part of their r...
Fecal Coliform (FC) concentration in river water was measured as 10780 cfu/100 ml. The FC concentration after the conventional water treatment, but before chlorination, was measure...
Suppose $\lambda$ is an eigenvalue of matrix A and $x$ is the corresponding eigenvector. Let $x$ also be an eigenvector of the matrix $\mathrm{B}=\mathrm{A}-2 \mathrm{I}$, where I...
The Surface Overflow Rate (SOR) in a rectangular sedimentation tank is $45 \mathrm{~m}^3 / \mathrm{m}^2 / \mathrm{d}$. Minimum diameters of spherical inorganic and organic particle...
Which one of the following options is the correct Fourier series of the periodic function $f(x)$ described below: $$ f(x)=\left\{\begin{array}{cl} 0 & \text { if }-2
In the context of testing bitumen, which one of the following statements is FALSE:
During determination of the bulk specific gravity of compacted bituminous specimen, the mass in air of the specimen is 1260 g and volume is $525 \mathrm{~cm}^3$. The density of wat...
Identify the FALSE statement from the following options:
Lacey's regime equations, followed in India for making scour calculations while designing hydraulic structures across alluvial channels, are given below. Regarding these equations,...
A 5.0 m wide rectangular channel carries a discharge of $10 \mathrm{~m}^3 / \mathrm{s}$ at a depth of 1.5 m under uniform flow. To produce critical flow conditions without affectin...
For a flowing fluid, a dimensionless combination of velocity (V), length scale (l), and acceleration due to gravity (g) would be
For the Bernoulli's equation to be applicable in a fluid flow situation, which of the following conditions is/are to be satisfied:
A hydraulic jump is formed in a 5 m wide rectangular channel, which has a horizontal bed and is carrying a discharge of $15 \mathrm{~m}^3 / \mathrm{s}$. The depth of water upstream...
If the weights retained on the $2.36 \mathrm{~mm}, 1.18 \mathrm{~mm}, 600 \mu \mathrm{~m}$, and $300 \mu \mathrm{~m}$ sieves are $30 \%$, $35 \%, 15 \%$, and $20 \%$, respectively,...
In the context of construction project management, which of the following statements is/are true:
If the quadrantal bearing of a line is N30,,aW, then the whole circle bearing of the line is
If the horizontal distance between a staff point and the point of observation is $d$, the error due to the curvature of earth is proportional to
In levelling between two points A and B on the opposite banks of a river, the readings are taken by setting the instrument both at $A$ and $B$, as shown in the table. If the $R L$...
A symmetrical trapezoidal canal is 100 km long. The bottom width is 10 m and the side slope is 1 Horizontal : 1 Vertical. The average flow depth in the canal is 2.5 m throughout th...
A water resources project with an expected life of 25 years has to be designed for an acceptable risk of $5 \%$ against a design flood. The return period for the design flood (in y...
Set 2
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 cm . It can be assumed that the ave...
A 60 cm diameter well completely penetrates a confined aquifer of permeability $5 \times 10^{-4} \mathrm{~m} / \mathrm{s}$. The length of the strainer (spanning the entire thicknes...
Integration of $\ln (x)$ with $x$ i.e. $$ \int \ln (x) d x= $$__________
A business person buys potatoes of two different varieties $P$ and $Q$, mixes them in a certain ratio and sells them at ₹192 per kg. The cost of the variety P is $Rs\,800$ for 5 kg...
The "order" of the following ordinary differential equation is $\qquad$ . $$ \frac{d^3 y}{d x^3}+\left(\frac{d^2 y}{d x^2}\right)^6+\left(\frac{d y}{d x}\right)^4+y=0 $$
Even though I had planned to go skiing with my friends, I had to __________ at the last moment because of an injury. Select the most appropriate option to complete the above senten...
The President, along with the Council of Ministers, _________to visit India next week. Select the most appropriate option to complete the above sentence.
"His life was divided between the books, his friends, and long walks. A solitary man, he worked at all hours without much method, and probably courted his fatal illness in this way...
A 6 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 2 years. The coefficient...
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 specific gravity o...
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 m . (ii) The to...
A designer used plate load test to obtain the value of the bearing capacity factor $\mathrm{N}_\gamma$. A circular plate of 1 m diameter was placed on the surface of a dry sand lay...
A reinforced concrete beam has a support section with width of 300 mm and effective depth of 500 mm . The support section is reinforced with 3 bars of 20 mm diameter at the tension...
Consider a five-digit number PQRST that has distinct digits P, Q, R, S and T, and satisfies the following conditions: $$ \begin{aligned} & P P > T \\ & R If integers 1 through 5 ar...
In the context of the given figure, which one of the following options correctly represents the entries in the blocks labelled (i), (ii), (iii), and (iv), respectively? $$ \begin{a...
A bag contains Violet (V), Yellow (Y), Red (R), and Green (G) balls. On counting them, the following results are obtained: (i) The sum of Yellow balls and twice the number of Viole...
On a two-lane highway, a horizontal curve of radius 300 m is provided. The design speed is $80 \mathrm{~km} / \mathrm{h}$. If the longest wheelbase of vehicle expected on this high...
Which of the following statements is/are INCORRECT?
An electricity utility company charges ₹ 7 per kWh (kilo watt-hour). If a 40-watt desk light is left on for 10 hours each night for 180 days, what would be the cost of energy consu...
The most suitable test for measuring the permeability of clayey soils in the laboratory is ___________
Which of the following statements is/are INCORRECT?
In the context of shear strength of soil, which of the following statements is/are CORRECT?
The design shear strength of a reinforced concrete rectangular beam with a width of 250 mm and an effective depth of 500 mm , is 0.3 MPa . The torsional moment capacity of the sect...
Consider a reinforced concrete beam section of 350 mm width and 600 mm depth. The beam is reinforced with the tension steel of $800 \mathrm{~mm}^2$ area at an effective cover of 40...
In the context of construction materials, which of the following statements is/are CORRECT?
A circular tube of thickness 10 mm and diameter 250 mm is welded to a flat plate using 5 mm fillet weld along the circumference. Assume Fe410 steel and shop welding. As per IS 800:...
After applying the correction for elevation and temperature, the runway length is 700 m . The corrected runway length (in m ) for an effective gradient of $1 \%$ is __________ (rou...
The recommended minimum traffic growth rate and design period considered for structural design of flexible pavements for national highways in India as per IRC 37:2018 is _________...
$$ \text { Match the following in Column I with Column II. } $$ Column I Column II 1. Vehicle Damage Factor A. Stability of subgrade soil 2. Passenger Car Unit B. Capacity of a roa...
The free flow speed of a highway is 100 km/h and its capacity is 4000 vehicle/h. Assume speed density relation is linear. For a traffic volume of 2000 vehicle/h, choose all the pos...
Consider the function given below and pick one or more CORRECT statement(s) from the following choices. $$ f(x)=x^3-\frac{15}{2} x^2+18 x+20 $$
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 of the ASP...
A settling chamber is used for the removal of discrete particulate matter from air with following conditions. Horizontal velocity of air $=0.2 \mathrm{~m} / \mathrm{s}$; Temperatur...
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 __________ (in integer). $$...
Given that $A$ and $B$ are not null sets, which of the following statements regarding probability is/are CORRECT?
Consider a discrete random variable $X$ whose probabilities are given below. The standard deviation of the random variable is _________ (round off to one decimal place). $$ \begin{...
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 \mathrm{mg} / \m...
Identify the treatment technology/technologies NOT recommended for highly biodegradable organic solid wastes.
For the matrix $[\mathrm{A}]$ given below, the transpose is $\qquad$ . $$ [A]=\left[\begin{array}{lll} 2 & 3 & 4 \\ 1 & 4 & 5 \\ 4 & 3 & 2 \end{array}\right] $$
The bacteria mainly responsible for crown corrosion in a sewer is $\qquad$
Free residual chlorine concentration in water was measured to be $2 \mathrm{mg} / \mathrm{l}$ (as $\mathrm{Cl}_2$ ). The pH of water is 8.5. By using the chemical equation given be...
Consider a velocity vector, $\vec{V}$ in ( $\mathrm{x}, \mathrm{y}, \mathrm{z}$ ) coordinates given below. Pick one or more CORRECT statement(s) from the choices given below: $$ \v...
Pick the CORRECT solution for the following differential equation $\frac{d y}{d x}=e^{x-y}$
Pick the CORRECT eigen value(s) of the matrix $[\mathrm{A}]$ from the following choices. $$ [A]=\left[\begin{array}{ll} 6 & 8 \\ 4 & 2 \end{array}\right] $$
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 diameter of...
Consider the following statements $(P)$ and $(Q)$ : $(P):$ Fly ash and ground granulated blast furnace slag can be used as mineral admixtures in concrete. (Q): As per IS 456:2000,...
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 1.0 m . The...
A hydraulic jump occurs in an open channel when the slope of the channel changes from__________ .
The point where the road alignment changes from a tangent to a curve is known as___________ $\qquad$
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 m . Later, it was discovered that the sca...
If the Fore Bearing of the lines AB and BC are $60^{\circ}$ and $122^{\circ}$, respectively, then the interior angle $\angle A B C$ (in degrees) is ________ (round off to the neare...
Pick one or more CORRECT statement(s) from the choices given below, in the context of upstream and downstream cut-offs provided below the concrete apron of weirs/barrages construct...
In the context of the effect of drainage density on the run-off generation and the hydrograph at the catchment outlet, all other factors remaining the same, pick one or more CORREC...
Set 1
Is there any good show ________ television tonight? Select the most appropriate option to complete the above sentence.
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 option to compl...
The sum of the following infinite series is: $\frac{1}{1!} + \frac{1}{2!} + \frac{1}{3!} + \frac{1}{4!} + \frac{1}{5!} + ...$
A thin wire is used to construct all the edges of a cube of 1 m side by bending, cutting and soldering the wire. If the wire is 12 m long, what is the minimum number of cuts requir...
The figures I, II and III are parts of a sequence. Which one of the following options comes next in the sequence at IV?
"Why do they pull down and do away with crooked streets, I wonder, which are my delight, and hurt no man living? Every day the wealthier nations are pulling down one or another in...
Rohit goes to a restaurant for lunch at about 1 PM. When he enters the restaurant, he notices that the hour and minute hands on the wall clock are exactly coinciding. After about a...
A color model is shown in the figure with color codes: Yellow (Y), Magenta (M), Cyan (Cy), Red (R), Blue (Bl), Green (G), and Black (K). Which one of the following options displays...
A circle with center at (x, y) = (0.5, 0) and radius = 0.5 intersects with another circle with center at (x, y) = (1, 1) and radius = 1 at two points. One of the points of intersec...
An object is said to have an n-fold rotational symmetry if the object, rotated by an angle of $\frac{2\pi}{n}$ is identical to the original. Which one of the following objects exhi...
Suppose $\lambda$ is an eigenvalue of matrix A and x is the corresponding eigenvector. Let x also be an eigenvector of the matrix B = A - 2I, where I is the identity matrix. Then,...
Let $A = \begin{bmatrix} 1 & 1 & 1 \\ 1 & 1 & 3 \\ 1 & -2 & -3 \end{bmatrix}$ and $b = \begin{bmatrix} b_1 \\ b_2 \\ b_3 \end{bmatrix}$. For Ax = b to be solvable, which one of the...
Which one of the following options is the correct Fourier series of the periodic function f(x) described below: f(x) = { 0 if -2 < x < -1 { 2k if -1 < x < 1 ; period = 4 { 0 if 1 <...
X is a random variable that can take any one of the values 0, 1, 7, 11, and 12. The probability mass function for X is P(X = 0) = 0.4; P(X = 1) = 0.3; P(X = 7) = 0.1; P(X = 11) = 0...
As per IS 456:2000 provisions for two-way slabs with continuous edges, the longitudinal steel reinforcement to be provided in the edge strip is based on
Identify the FALSE statement from the following options:
The results of a consolidated drained triaxial test on a normally consolidated clay are shown in the figure. The angle of internal friction is
The standard plasticity chart for the classification of a fine-grained soil is shown in the figure. As per the Indian standard soil classification system, X represents
For a flowing fluid, a dimensionless combination of velocity (V), length scale (l), and acceleration due to gravity (g) would be
To derive the total flood hydrograph at a catchment outlet from an isolated storm, the order in which the following methods are applied, from the first method to the last method, i...
Fecal Coliform (FC) concentration in river water was measured as 10780 cfu/100 ml. The FC concentration after the conventional water treatment, but before chlorination, was measure...
A hydrocarbon (CnHm) is burnt in air (O2 + 3.78N2). The stoichiometric fuel to air mass ratio for this process is Note: Atomic Weight: C(12), H(1) Effective Molecular Weight: Air(2...
All the vehicles that come during a particular peak hour come during a 10-minute period within this hour. The 15-minute peak hour factor for this peak hour is
In the context of testing bitumen, which one of the following statements is FALSE:
The maximum degree of the curve that can be used for railways in a mountainous region is
If the horizontal distance between a staff point and the point of observation is d, the error due to the curvature of earth is proportional to
If the quadrantal bearing of a line is N30°W, then the whole circle bearing of the line is
Which of the following equations belong/belongs to the class of second-order, linear, homogeneous partial differential equations:
Consider the frame shown in the figure under the loading of 100 kN.m couples at the joints B and G. Considering only the effects of flexural deformations, which of the following st...
For the Bernoulli's equation to be applicable in a fluid flow situation, which of the following conditions is/are to be satisfied:
The Surface Overflow Rate (SOR) in a rectangular sedimentation tank is 45 m³/m²/d. Minimum diameters of spherical inorganic and organic particles expected to be completely removed...
Aeration is employed as a treatment option for the removal of several pollutants from contaminated water. Identify the pollutant(s), where aeration is employed as a part of their r...
If the weights retained on the 2.36 mm, 1.18 mm, 600 µm, and 300 µm sieves are 30%, 35%, 15%, and 20%, respectively, of the total weight of an aggregate sample, then the fineness m...
A water resources project with an expected life of 25 years has to be designed for an acceptable risk of 5% against a design flood. The return period for the design flood (in years...
Road A and Road B are joined by a circular horizontal curve of radius 200 m as shown in the figure. Road A and Road B are tangential to the curve at the points C and D, respectivel...
The value of $\lim_{x\to\infty} (x - \sqrt{x^2 + x})$ is equal to
In the rigid-jointed frame shown in the figure, the distribution factor of the member AD is closest to
In an oedometer apparatus a specimen of fully saturated clay has been consolidated under a vertical pressure of 100 kPa and is at equilibrium state. Immediately on increasing the v...
The mean rainfall over a catchment has to be estimated. The data for four rain gauges located in and around the catchment is listed in the table. Which one of the following stateme...
The speed-density relation on a one-way, single lane road is shown in the figure, where speed u is in km/hour and density k is in vehicles/km. The maximum flow (in vehicles/hour) o...
Consider the beam ACDEB given in the figure. Which of the following statements is/are correct:
In the context of construction project management, which of the following statements is/are true:
Lacey's regime equations, followed in India for making scour calculations while designing hydraulic structures across alluvial channels, are given below. Regarding these equations,...
MgCl2 and CaSO4 salts are added to 1 litre of distilled deionized water and mixed until completely dissolved. Total Dissolved Solids (TDS) concentration is 500 mg/l, and Total Hard...
A facultative pond system is employed for wastewater treatment. Which of the following statements is/are true:
Organic fraction of municipal solid waste (OFMSW) with bulk density of 315 kg/m³ and water content of 30% is mixed with municipal sludge of bulk density 700 kg/m³ and water content...
Let y be the solution of the initial value problem y'' + 0.8y' + 0.16y = 0, where y(0) = 3 and y'(0) = 4.5. Then, y(1) is equal to ________ (rounded off to 1 decimal place).
The maximum value of the function h(x) = −x³ + 2x² in the interval [-1,1.5] is equal to ________ (rounded off to 1 decimal place).
Consider the differential equation given below. Using the Euler method with the step size (h) of 0.5, the value of y at x = 1.0 is equal to ________ (rounded off to 1 decimal place...
For the beam and loading shown in the figure, the second derivative of the deflection curve of the beam at the mid-point of AC is given by αM₀/8EI. The value of α is ________ (roun...
Consider the rigid bar ABC supported by the pin-jointed links BD and CE and subjected to a load P at the end A, as shown in the figure. The axial rigidities of BD and CE are 22500...
Consider a reinforced concrete beam section of 300 mm width and 700 mm depth. The beam is reinforced with the tension steel of 2000 mm² area at an effective cover of 50 mm. Concret...
Consider the beam section shown in the figure, with y indicating the depth of neutral axis (NA). The section is only subjected to an increasing bending moment. It is given that y =...
Consider the built-up column made of two I-sections as shown in the figure, with each batten plate bolted to a component I-section of the column through 6 black bolts. Each connect...
A cut slope is made in a silty clay soil for a new road project, as shown in the figure. The locations of ground water table (GWT) and potential failure surface are shown in the fi...
A 6 m x 6 m square footing constructed in clay is subjected to a vertical load of 2500 kN at its centre. The base of the footing is 2 m below the ground surface, as shown in the fi...
A clayey soil has a moisture content of 18%, a specific gravity of soil solids of 2.74, and a degree of saturation of 65%. The soil soaks up water during a rain event, and the degr...
A single pile with 450 mm diameter has been driven into a homogeneous clay layer, which has an undrained cohesion (cu) of 20 kPa and unit weight of 18 kN/m³. The ground water table...
Two soils of permeabilities k₁ and k2 are placed in a horizontal flow apparatus, as shown in the figure. For Soil 1, L1 = 50 cm, and k₁ = 0.055 cm/s; for Soil 2, L2 = 30 cm, and k2...
A hydraulic jump is formed in a 5 m wide rectangular channel, which has a horizontal bed and is carrying a discharge of 15 m³/s. The depth of water upstream of the jump is 0.5 m. T...
A symmetrical trapezoidal canal is 100 km long. The bottom width is 10 m and the side slope is 1 Horizontal : 1 Vertical. The average flow depth in the canal is 2.5 m throughout th...
A 5.0 m wide rectangular channel carries a discharge of 10 m³/s at a depth of 1.5 m under uniform flow. To produce critical flow conditions without affecting the upstream condition...
A one-way, single lane road has traffic that consists of 30% trucks and 70% cars. The speed of trucks (in km/h) is a uniform random variable on the interval (30, 60), and the speed...
In levelling between two points A and B on the opposite banks of a river, the readings are taken by setting the instrument both at A and B, as shown in the table. If the RL of A is...
During determination of the bulk specific gravity of compacted bituminous specimen, the mass in air of the specimen is 1260 g and volume is 525 cm³. The density of water is 1.0 g/c...
Set 2
Even though I had planned to go skiing with my friends, I had to ___________ at the last moment because of an injury. Select the most appropriate option to complete the above sente...
The President, along with the Council of Ministers, ___________ to visit India next week. Select the most appropriate option to complete the above sentence.
An electricity utility company charges ₹ 7 per kWh (kilo watt-hour). If a 40-watt desk light is left on for 10 hours each night for 180 days, what would be the cost of energy consu...
In the context of the given figure, which one of the following options correctly represents the entries in the blocks labelled (i), (ii), (iii), and (iv), respectively? N U F (i) 2...
A bag contains Violet (V), Yellow (Y), Red (R), and Green (G) balls. On counting them, the following results are obtained: (i) The sum of Yellow balls and twice the number of Viole...
"His life was divided between the books, his friends, and long walks. A solitary man, he worked at all hours without much method, and probably courted his fatal illness in this way...
For the clock shown in the figure, if O* = O Q S Z P R T, and X* = X Z P W Y O Q, then which one among the given options is most appropriate for P*?
Consider a five-digit number PQRST that has distinct digits P, Q, R, S, and T, and satisfies the following conditions: P P > T R < T If integers 1 through 5 are used to construct s...
A business person buys potatoes of two different varieties P and Q, mixes them in a certain ratio and sells them at ₹ 192 per kg. The cost of the variety P is ₹ 800 for 5 kg. The c...
Three villages P, Q, and R are located in such a way that the distance PQ = 13 km, QR = 14 km, and RP = 15 km, as shown in the figure. A straight road joins Q and R. It is proposed...
Consider the following statements (P) and (Q): (P): Fly ash and ground granulated blast furnace slag can be used as mineral admixtures in concrete. (Q): As per IS 456:2000, the min...
Consider the pin-jointed truss shown in the figure. Influence line is drawn for the axial force in the member G-I, when a unit load travels on the bottom chord of the truss. Identi...
The most suitable test for measuring the permeability of clayey soils in the laboratory is _________.
A hydraulic jump occurs in an open channel when the slope of the channel changes from _________.
The bacteria mainly responsible for crown corrosion in a sewer is ________.
The recommended minimum traffic growth rate and design period considered for structural design of flexible pavements for national highways in India as per IRC 37:2018 is ________ p...
After applying the correction for elevation and temperature, the runway length is 700 m. The corrected runway length (in m) for an effective gradient of 1% is ________ (round off t...
The point where the road alignment changes from a tangent to a curve is known as ________.
Consider a velocity vector, $\vec{V}$ in (x, y, z) coordinates given below. Pick one or more CORRECT statements(s) from the choices given below. $\vec{V} = u\hat{x} + v\hat{y}$
Given that A and B are not null sets, which of the following statements regarding probability is/are CORRECT?
In the context of construction materials, which of the following statements is/are CORRECT?
Which of the following statements is/are INCORRECT?
Pick one or more CORRECT statement(s) from the choices given below, in the context of upstream and downstream cut-offs provided below the concrete apron of weirs / barrages constru...
In the context of the effect of drainage density on the run-off generation and the hydrograph at the catchment outlet, all other factors remaining the same, pick one or more CORREC...
Identify the treatment technology/technologies NOT recommended for highly biodegradable organic solid wastes.
Which of the following statements is/are INCORRECT?
The "order" of the following ordinary differential equation is ______. $d^3y/dx^3 + (d^2y/dx^2)^6 + (dy/dx)^4 + y = 0$
The design shear strength of a reinforced concrete rectangular beam with a width of 250 mm and an effective depth of 500 mm, is 0.3 MPa. The torsional moment capacity of the sectio...
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 m. (ii) The tot...
A 6 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 2 years. The coefficient of v...
Consider steady flow of water in the series pipe system shown below, with specified discharge. The diameters of Pipes A and B are 2 m and 1 m, respectively. The lengths of pipes A...
Free residual chlorine concentration in water was measured to be 2 mg/l (as Cl2). The pH of water is 8.5. By using the chemical equation given below, the HOCl concentration (in μmo...
A surveyor measured the distance between two points on the plan drawn to a scale of 1 cm = 40 m and the result was 468 m. Later, it was discovered that the scale used was 1 cm = 20...
Pick the CORRECT solution for the following differential equation $\frac{dy}{dx} = e^{x-y}$
A circular tube of thickness 10 mm and diameter 250 mm is welded to a flat plate using 5 mm fillet weld along the circumference. Assume Fe410 steel and shop welding. As per IS 800:...
The figure shows a propped cantilever with uniform flexural rigidity EI (in N.m²) and subjected to a moment M (in N.m). Consider forces and displacements in the upward direction as...
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-y plane an...
Consider a reinforced concrete beam section of 350 mm width and 600 mm depth. The beam is reinforced with the tension steel of 800 mm² area at an effective cover of 40 mm. Consider...
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 specific gravity of solids in th...
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 1.0 m. The b...
Match the following in Column I with Column II. Column I (1) Vehicle Damage Factor (2) Passenger Car Unit (3) Perception Reaction Time (4) California Bearing Ratio Column II A. Sta...
Consider the function given below and pick one or more CORRECT statement(s) from the following choices. f(x) = x³ − (15/2)x² + 18x + 20
Pick the CORRECT eigen value(s) of the matrix [A] from the following choices. [A] = [[6, 8], [4, 2]]
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?
In the context of shear strength of soil, which of the following statements is/are CORRECT?
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 diameter of...
A compound has a general formula C_aH_bO_cN_d and molecular weight 187. A 935 mg/l solution of the compound is prepared in distilled deionized water. The Total Organic Carbon (TOC)...
The free flow speed of a highway is 100 km/h and its capacity is 4000 vehicle/h. Assume speed density relation is linear. For a traffic volume of 2000 vehicle/h, choose all the pos...
Consider a discrete random variable X whose probabilities are given below. The standard deviation of the random variable is ________ (round off to one decimal place). xi | 1 | 2 |...
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 x 10^7 mm^4. Take modulus of elasticity of steel as 2...
The figure shows a network diagram for a construction project. The activities A, B, C, D, E, and F are represented by arrows and their durations are in the figure. The total float...
A reinforced concrete beam has a support section with width of 300 mm and effective depth of 500 mm. The support section is reinforced with 3 bars of 20 mm diameter at the tension...
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 kN/m³, undrained cohesion of 30 kPa and it is fully satura...
A designer used plate load test to obtain the value of the bearing capacity factor N$\gamma$. A circular plate of 1 m diameter was placed on the surface of a dry sand layer extendi...
A 4 x 4 group pile, with each pile 20 m long and 500 mm in diameter, is installed in a square pattern in a clayey soil, as shown in the figure. The average unconfined compressive s...
A 60 cm diameter well completely penetrates a confined aquifer of permeability 5 x 10⁻⁴ m/s. The length of the strainer (spanning the entire thickness of the aquifer) is 10 m. The...
The peak of flood hydrograph due to a 3-hour duration storm in a catchment is 180 m³/s. The total rainfall depth is 6.6 cm. It can be assumed that the average infiltration loss is...
The shaft of a 6 m wide gate in the figure will fail at a moment of 3924 kN.m about the hinge P. The maximum value of water depth h (in m) that the gate can hold is ________ (round...
The analyses results of a water sample are given below. The non-carbonate hardness of the water (in mg/L) as CaCO3 is _________ (in integer). Ca2+ = 150 mg/L as CaCO3 Mg2+ = 40 mg/...
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 of the ASP...
A settling chamber is used for the removal of discrete particulate matter from air with following conditions. Horizontal velocity of air = 0.2 m/s; Temperature of air stream = 77°C...
On a two-lane highway, a horizontal curve of radius 300 m is provided. The design speed is 80 km/h. If the longest wheelbase of vehicle expected on this highway is 7 m, then the ex...
If the Fore Bearing of the lines AB and BC are 60° and 122°, respectively, then the interior angle ∠ABC (in degrees) is ________ (round off to the nearest integer).