GATE 2023 Civil Engineering Question Paper PDF shift 2 is now available here for download. IIT Kanpur has successfully conducted GATE 2023 Civil Engineering exam on February 12, 2023 in the Afternoon Session from 02:30 PM to 05:30 PM. Students had to answer 65 questions in GATE 2023 Civil Engineering Question Paper for 100 marks. The question paper comprised 10 questions from the General Aptitude section and 55 questions from Engineering Mathematics and Core Discipline.
GATE 2023 Civil Engineering Question Paper with Solutions PDF
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The line ran _______ the page, right through the centre, and divided the page into two.
Kind : _________ : : Often : Seldom
(By word meaning)
In how many ways can cells in a \(3 \times 3\) grid be shaded, such that each row and each column have exactly one shaded cell? An example of one valid shading is shown.
There are \(4\) red, \(5\) green, and \(6\) blue balls inside a box. If \(N\) number of balls are picked simultaneously, what is the smallest value of \(N\) that guarantees there will be at least two balls of the same colour? One cannot see the colour of the balls until they are picked.
Consider a circle with its centre at the origin (O), as shown. Two operations are allowed on the circle.
Operation 1: Scale independently along the x and y axes.
Operation 2: Rotation in any direction about the origin.
Which figure among the options can be achieved through a combination of these two operations on the given circle?
Elvesland is a country that has peculiar beliefs and practices. They express almost all their emotions by gifting flowers. For instance, if anyone gifts a white flower to someone, then it is always taken to be a declaration of one's love for that person. In a similar manner, the gifting of a yellow flower to someone often means that one is angry with that person.
Based only on the information provided above, which one of the following sets of statement(s) can be logically inferred with certainty?
(i) In Elvesland, one always declares one's love by gifting a white flower.
(ii) In Elvesland, all emotions are declared by gifting flowers.
(iii) In Elvesland, sometimes one expresses one's anger by gifting a flower that is not yellow.
(iv) In Elvesland, sometimes one expresses one's love by gifting a white flower.
Three husband–wife pairs are to be seated at a circular table that has six identical chairs. Seating arrangements are defined only by the relative position of the people. How many seating arrangements are possible such that every husband sits next to his wife?
Based only on the following passage, which one of the options can be inferred with certainty?
Passage:
When the congregation sang together, Apenyo would also join, though her little screams were not quite audible because of the group singing. But whenever there was a special number, trouble would begin; Apenyo would try singing along, much to the embarrassment of her mother. After two or three such mortifying Sunday evenings, the mother stopped going to church altogether until Apenyo became older and learnt to behave.
At home too, Apenyo never kept quiet; she hummed or made up silly songs to sing by herself, which annoyed her mother at times but most often made her become pensive. She was by now convinced that her daughter had inherited her love of singing from her father who had died unexpectedly away from home.
[Excerpt from These Hills Called Home by Temsula Ao]
If x satisfies the equation 4^{8x = 256, then x is equal to .
Consider a spherical globe rotating about an axis passing through its poles. There are three points P, Q, and R situated respectively on the equator, the north pole, and midway between the equator and the north pole in the northern hemisphere. Let P, Q, and R move with speeds \(v_p\), \(v_q\), and \(v_r\), respectively.
Which one of the following options is CORRECT?
Let \(\phi\) be a scalar field, and \(\mathbf{u}\) be a vector field. Which of the following identities is true for \(\nabla \cdot (\phi \mathbf{u})\)?
Which of the following probability distribution functions (PDFs) has the mean greater than the median?
A remote village has exactly 1000 vehicles with sequential registration numbers starting from 1000. Out of the total vehicles, 30% are without pollution clearance certificate. Further, even- and odd-numbered vehicles are operated on even- and odd-numbered dates, respectively.
If 100 vehicles are chosen at random on an even-numbered date, the number of vehicles expected without pollution clearance certificate is_________.
A circular solid shaft of span \( L = 5 \, m \) is fixed at one end and free at the other end. A torque \( T = 100 \, kN.m \) is applied at the free end. The shear modulus and the polar moment of inertia of the section are denoted as \( G \) and \( J \), respectively. The torsional rigidity \( \frac{GJ}{L} \) is \( 50,000 \, kN.m^2/rad \).
Statement i) The rotation at the free end is \( 0.01 \, rad \).
Statement ii) The torsional strain energy is \( 1.0 \, kN.m \).
With reference to the above statements, which of the following is true?
M20 concrete as per IS 456: 2000 refers to concrete with a design mix having _______________.
When a simply-supported elastic beam of span \(L\) and flexural rigidity \(EI\) is loaded with a uniformly distributed load \(w\) per unit length, the deflection at the mid-span is \[ \Delta_0=\frac{5}{384}\,\frac{wL^4}{EI}. \]
If the load on one half of the span is now removed, the mid-span deflection \hspace{1.5cm}.
Muller-Breslau principle is used in analysis of structures for _________.
A standard penetration test (SPT) was carried out at a location by using a manually operated hammer dropping system with 50% efficiency. The recorded SPT value at a particular depth is 28. If an automatic hammer dropping system with 70% efficiency is used at the same location, the recorded SPT value will be _________.
A vertical sheet pile wall is installed in an anisotropic soil having coefficient of horizontal permeability, \(k_H\), and coefficient of vertical permeability, \(k_V\). In order to draw the flow net for the isotropic condition, the embedment depth of the wall should be scaled by a factor of _____, without changing the horizontal scale.
Identify the cross-drainage work in the figure.
Which one of the following options provides the correct match of the terms listed in Column-1 and Column-2?
In the context of Municipal Solid Waste Management, ‘Haul’ in ‘Hauled Container System operated in conventional mode’ includes the _________.
Which of the following is equal to the stopping sight distance?
The magnetic bearing of the sun for a location at noon is \(183^\circ 30'\). If the sun is exactly on the geographic meridian at noon, the magnetic declination of the location is \underline{\hspace{1.5cm.
For the matrix \[ A = \begin{bmatrix} 1 & -1 & 0
-1 & 2 & -1
0 & -1 & 1 \end{bmatrix} \]
which of the following statements is/are TRUE?
In the frame shown in the figure (not to scale), all four members (AB, BC, CD, and AD) have the same length and same constant flexural rigidity. All the joints A, B, C, and D are rigid joints. The midpoints of AB, BC, CD, and AD, are denoted by E, F, G, and H, respectively. The frame is in unstable equilibrium under the shown forces of magnitude \( P \) acting at E and G. Which of the following statements is/are TRUE?
With regard to the shear design of RCC beams, which of the following statements is/are TRUE?
The reason(s) of the nonuniform elastic settlement profile below a flexible footing, resting on a cohesionless soil while subjected to uniform loading, is/are:
Which of the following is/are NOT active disinfectant(s) in water treatment?
As per the Indian Roads Congress guidelines (IRC 86: 2018), extra widening depends on which of the following parameters?
The steady-state temperature distribution in a square plate ABCD is governed by the 2-dimensional Laplace equation. The side AB is kept at a temperature of \(100^\circ\)C and the other three sides are kept at a temperature of \(0^\circ\)C. Ignoring the effect of discontinuities at the corners, the steady-state temperature at the center of the plate is obtained as \(T_0^\circ\)C. Due to symmetry, the steady-state temperature at the center will be the same (\(T_0^\circ\)C) when any one side of the square is kept at a temperature of \(100^\circ\)C and the remaining three sides are kept at \(0^\circ\)C. Using the principle of superposition, find \(T_0\) (rounded off to two decimal places).
An unconfined compression strength test was conducted on a cohesive soil. The test specimen failed at an axial stress of 76 kPa. The undrained cohesion (in kPa, in integer}) of the soil is \hspace{2cm}.
The pressure in a pipe at X is to be measured by an open manometer as shown in the figure. Fluid A is oil with a specific gravity of 0.8 and Fluid B is mercury with a specific gravity of 13.6. The absolute pressure at X is \hspace{4cm} kN/m\(^2\). (round off to one decimal place).
[Assume Density of water = 1000 kg/m³, gravity = 9.81 m/s², atmospheric pressure = 101.3 kN/m².]
For the elevation and temperature data given in the table, the existing lapse rate in the environment is _________ °C/100 m (round off to two decimal places).
If the size of the ground area is \(6 \,km \times 3 \,km\) and the corresponding photo size in the aerial photograph is \(30 \,cm \times 15 \,cm\), then the scale of the photograph is \(1 : \_\_\_\_\_\_\_\_\_\_\) (in integer).
The solution of the differential equation \[ \frac{d^3 y}{dx^3}-5.5\,\frac{d^2 y}{dx^2}+9.5\,\frac{dy}{dx}-5\,y=0 \]
is expressed as \(y=C_1 e^{2.5x}+C_2 e^{\alpha x}+C_3 e^{\beta x}\), where \(C_1,C_2,C_3,\alpha,\beta\) are constants, with \(\alpha\) and \(\beta\) distinct and not equal to \(2.5\). Which of the following options is correct for the values of \(\alpha\) and \(\beta\)?
Two vectors \([2 \, 1 \, 0 \, 3]^T\) and \([1 \, 0 \, 1 \, 2]^T\) belong to the null space of a \(4 \times 4\) matrix of rank 2. Which one of the following vectors also belongs to the null space?
Cholesky decomposition is carried out on the following square matrix [A].
\[ [A] = \begin{bmatrix} 8 & -5
-5 & a_{22} \end{bmatrix} \]
Let \( l_{ij} \) and \( a_{ij} \) be the (i,j)th elements of matrices [L] and [A], respectively. If the element \( l_{22} \) of the decomposed lower triangular matrix [L] is 1.968, what is the value (rounded off to the nearest integer) of the element \( a_{22} \)?
In a two-dimensional stress analysis, the state of stress at a point is shown in the figure. The values of length \(PQ\), \(QR\), and \(RP\) are \(4\), \(3\), and \(5\) units, respectively. The principal stresses are __________. (round off to one decimal place)
Two plates are connected by fillet welds of size \(10\) mm and subjected to tension \(P=275\) kN (factored). Plate thickness \(=12\) mm. Steel: \(f_y=250\) MPa, \(f_u=410\) MPa. Workshop welding with partial safety factor \(\gamma_{mw}=1.25\). As per IS 800:2007 (Limit State), what is the minimum length (in mm, rounded off to the nearest higher multiple of \(5\) mm) required of each weld to transmit \(P\)?
In the given figure, Point O indicates the stress point of a soil element at initial non-hydrostatic stress condition. For the stress path (OP), which of the following loading conditions is correct?
The figure shows a vertical retaining wall with backfill consisting of cohesive-frictional soil and a failure plane developed due to passive earth pressure. The forces acting on the failure wedge are: \(P\) as the reaction force between the wall and the soil, \(R\) as the reaction force on the failure plane, \(C\) as the cohesive force along the failure plane and \(W\) as the weight of the failure wedge. Assuming that there is no adhesion between the wall and the wedge, identify the most appropriate force polygon for the wedge.
A compound symmetrical open channel section as shown in the figure has a maximum of _______ critical depth(s).
The critical flow condition in a channel is given by \hspace{1.5cm}.
[Note: \(\alpha\) – kinetic energy correction factor; \(Q\) – discharge; \(A_c\) – cross-sectional area of flow at critical flow condition; \(T_c\) – top width of flow at critical flow condition; \(g\) – acceleration due to gravity]
Match the following air pollutants with the most appropriate adverse health effects:
A delivery agent travels from \(R\) to \(P\) along straight-line paths \(RC\), \(CA\), \(AB\), and \(BP\), each of length \(5\,\)km. The whole circle bearings (clockwise from North) are: \(RC=120^\circ\), \(CA=0^\circ\), \(AB=90^\circ\), \(BP=240^\circ\). If the latitude \((L)\) and departure \((D)\) of \(R\) are \((0,0)\) km, find the latitude and departure of \(P\) (rounded to one decimal place).
Which of the following statements is/are TRUE?
In the context of water and wastewater treatments, the correct statements are:
Which of the following statements is/are TRUE for the aerobic composting of sewage sludge?
The figure presents the time-space diagram for when the traffic on a highway is suddenly stopped for a certain time and then released. Which of the following statements are true?
Consider the Marshall method of mix design for bituminous mix. With the increase in bitumen content, which of the following statements is/are TRUE?
A \(5\) cm long metal rod (\(x\) in cm from \(A\) to \(B\)) is governed by \(\dfrac{\partial T}{\partial t}=D\,\dfrac{\partial^2 T}{\partial x^2}\) with \(D=1.0~cm^2/s\) and both ends held at \(0^\circ\)C. The temperature field is \[ T(x,t)=\sum_{n=1,3,5,\ldots} C_n \sin\!\left(\frac{n\pi x}{5}\right)e^{-\beta n^{2} t}. \]
Find \(\beta\) (in s\(^{-1}\), rounded to three decimals).
A beam is subjected to a system of coplanar forces as shown in the figure. The magnitude of vertical reaction at Support P is _________ N (round off to one decimal place).
For the frame shown in the figure (not to scale), all members (AB, BC, CD, GB, and CH) have the same length, L, and flexural rigidity, EI. The joints at B and C are rigid joints, and the supports A and D are fixed supports. Beams GB and CH carry uniformly distributed loads of w per unit length. The magnitude of the moment reaction at A is \(\frac{wL^2}{k}\). What is the value of k (in integer)?
Consider the singly reinforced section of a cantilever concrete beam under bending, as shown in the figure (M25 grade concrete, Fe415 grade steel). The stress block parameters for the section at ultimate limit state, as per IS 456: 2000 notations, are given. The ultimate moment of resistance for the section by the Limit State Method is ________ kN.m (round off to one decimal place).
A 2D thin plate (plane stress) has \(E=1.0~N/m^2\) and Poisson’s ratio \(\mu=0.5\). The displacement field is \(u=Cx^2y\), \(v=0\) (in m). Distances \(x,y\) are in m. The stresses are \(\sigma_{xx}=40xy~N/m^2\) and \(\tau_{xy}=\alpha x^2~N/m^2\). Find \(\alpha\) (in \(N/m^4\), integer).
An idealised frame supports a load as shown in the figure. The horizontal component of the force transferred from the horizontal member PQ to the vertical member RS at P is _________ N (round off to one decimal place).
A square footing is to be designed to carry a column load of 500 kN which is resting on a soil stratum having the following average properties: bulk unit weight = 19 kN/m³; angle of internal friction = 0° and cohesion = 25 kPa. Considering the depth of the footing as 1 m and adopting Meyerhof’s bearing capacity theory with a factor of safety of 3, the width of the footing (in m) is _________ (round off to one decimal place)
A circular pile of diameter 0.6 m and length 8 m was constructed in a cohesive soil stratum having the following properties: bulk unit weight = 19 kN/m\(^3\), angle of internal friction = 0\(^\circ\) and cohesion = 25 kPa.
The allowable load the pile can carry with a factor of safety of 3 is ________ kN (round off to one decimal place).
For the flow setup shown, hydraulic conductivities are \(k_1=10\) mm/s (Soil 1) and \(k_2=1\) mm/s (Soil 2). Unit weight of water \(=10\) kN/m\(^3\). Ignore velocity head. At steady state, what is the total head (in m, rounded to two decimals) at the junction of the two samples?
A consolidated drained (CD) triaxial test was carried out on a sand sample with the known effective shear strength parameters, \(c' = 0\) and \(\phi' = 30^\circ\). In the test, prior to the failure, when the sample was undergoing axial compression under constant cell pressure, the drainage valve was accidentally closed. At the failure, 360 kPa deviatoric stress was recorded along with 70 kPa pore water pressure. If the test is repeated without such error, and no back pressure is applied in either of the tests, what is the deviatoric stress (in kPa, in integer) at the failure?
A catchment may be idealized as a circle of radius 30 km. There are five rain gauges, one at the center of the catchment and four on the boundary (equi-spaced), as shown in the figure (not to scale). The annual rainfall recorded at these gauges in a particular year are given below.
Using the Thiessen polygon method, what is the average rainfall (in mm, rounded
off to two decimal places) over the catchment in that year? _____\-__
The cross-section of a small river is sub-divided into seven segments of width 1.5 m each. The average depth, and velocity at different depths were measured during a field campaign at the middle of each segment width. The discharge computed by the velocity area method for the given data is __________ m\(^3\)/s (round off to one decimal place).
The theoretical aerobic oxidation of biomass (C\(_5\)H\(_7\)O\(_2\)N) is:
\[ \mathrm{C_5H_7O_2N + 5\,O_2 \rightarrow 5\,CO_2 + NH_3 + 2\,H_2O} \]
Given a first-order biochemical oxidation with \(k=0.23\ d^{-1}\) at \(20^{\circ}\)C (base \(e\)) and neglecting the second-stage oxygen demand, find the ratio BOD\(_5\) at \(20^{\circ}\)C to TOC (round to two decimals).
Atomic weights: C=12, H=1, O=16, N=14 g/mol
A system of seven river segments is shown. Given: \(Q_1=5\) m\(^3\)/s, \(Q_2=15\) m\(^3\)/s, \(Q_4=3\) m\(^3\)/s (outflow), \(Q_6=8\) m\(^3\)/s; \(C_1=8\) kg/m\(^3\), \(C_2=12\) kg/m\(^3\), \(C_6=10\) kg/m\(^3\). Assume complete mixing at junctions, no gains/losses otherwise, steady state. Find the pollutant concentration in segment \(R_7\) (in kg/m\(^3\), rounded to two decimals).
GATE 2023 CE Paper Analysis Shift 2
| Particulars | GATE 2023 CE Paper Analysis Forenoon Session |
|---|---|
| Number of MCQs | 33 |
| Number of NATs | 13 |
| Number of MSQs | 19 |
GATE 2023 CE Shift 1 Topic-wise Weighatge
| Name of the Section/Subject | No. of Questions | Total Marks | |
|---|---|---|---|
| 1 Mark | 2 Marks | ||
| General Aptitude | 5 | 5 | 15 |
| Engineering Mathematics | 2 | 3 | 8 |
| Geotechnical Engineering | 7 | 4 | 15 |
| Environmental Engineering | 6 | 4 | 14 |
| Strength of Material | 3 | 2 | 7 |
| Fluid Mechanics | 3 | 3 | 9 |
| Hydrology | 2 | 3 | 8 |
| Transportation | 5 | 4 | 13 |
| Structure | 3 | 4 | 11 |
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