GATE CE 2022: Civil Engineering Session 1
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SESSION - 1
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GATE 2022 (CE Set-1) Civil Engineering
GATE 2022 General Aptitude
Q.1 – Q.5 Carry ONE mark each.
Q.1 You should _________ when to say _________.
(A) no / no
(B) no / know
(C) know / know
(D) know / no
Q.2 Two straight lines pass through the origin (x , y ) = (0,0). One of them passes
through the point (x , y ) = (1,3) and the other passes through the point
(x , y ) = (1,2).
What is the area enclosed between the straight lines in the interval [0, 1] on
the x-axis?
(A) 0.5
(B) 1.0
(C) 1.5
(D) 2.0
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GATE 2022 (CE Set-1) Civil Engineering
Q.3 If
p∶q=1∶2
q∶r=4∶3
r∶s=4∶5
and u is 50% more than s, what is the ratio p ∶ u?
(A) 2 ∶ 15
(B) 16 ∶ 15
(C) 1: 5
(D) 16: 45
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GATE 2022 (CE Set-1) Civil Engineering
Q.4 Given the statements:
P is the sister of Q.
Q is the husband of R.
R is the mother of S.
T is the husband of P.
Based on the above information, T is ______ of S.
(A) the grandfather
(B) an uncle
(C) the father
(D) a brother
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GATE 2022 (CE Set-1) Civil Engineering
Q.5 In the following diagram, the point R is the center of the circle. The lines PQ
and ZV are tangential to the circle. The relation among the areas of the squares,
PXWR, RUVZ and SPQT is
(A) Area of SPQT = Area of RUVZ = Area of PXWR
(B) Area of SPQT = Area of PXWR Area of RUVZ
(C) Area of PXWR = Area of SPQT Area of RUVZ
(D) Area of PXWR = Area of RUVZ Area of SPQT
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GATE 2022 (CE Set-1) Civil Engineering
Q. 6 – Q. 10 Carry TWO marks each.
Q.6 Healthy eating is a critical component of healthy aging. When should one start
eating healthy? It turns out that it is never too early. For example, babies who
start eating healthy in the first year are more likely to have better overall health
as they get older.
Which one of the following is the CORRECT logical inference based on the
information in the above passage?
(A) Healthy eating is important for those with good health conditions, but not for
others
(B) Eating healthy can be started at any age, earlier the better
(C) Eating healthy and better overall health are more correlated at a young age, but
not older age
(D) Healthy eating is more important for adults than kids
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GATE 2022 (CE Set-1) Civil Engineering
Q.7 P invested ₹ 5000 per month for 6 months of a year and Q invested ₹ x per
month for 8 months of the year in a partnership business. The profit is shared in
proportion to the total investment made in that year.
If at the end of that investment year, Q receives of the total profit, what is the
value of x (in ₹)?
(A) 2500
(B) 3000
(C) 4687
(D) 8437
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GATE 2022 (CE Set-1) Civil Engineering
Q.8 16
14
14
12 11
10 9
Frequency
8 7
6
4
4 3
2
2
0
3 4 5 6 7 8 9
Marks
The above frequency chart shows the frequency distribution of marks obtained
by a set of students in an exam.
From the data presented above, which one of the following is CORRECT?
(A) mean > mode > median
(B) mode > median > mean
(C) mode > mean > median
(D) median > mode > mean
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GATE 2022 (CE Set-1) Civil Engineering
Q.9 In the square grid shown on the left, a person standing at P2 position is required
to move to P5 position.
The only movement allowed for a step involves, “two moves along one
direction followed by one move in a perpendicular direction”. The permissible
directions for movement are shown as dotted arrows in the right.
For example, a person at a given position Y can move only to the positions
marked X on the right.
Without occupying any of the shaded squares at the end of each step, the
minimum number of steps required to go from P2 to P5 is
1 2 3 4 5
P
Q
R
S
T
Example: Allowed steps for a person at Y
(A) 4
(B) 5
(C) 6
(D) 7
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GATE 2022 (CE Set-1) Civil Engineering
Q.10
Consider a cube made by folding a single sheet of paper of appropriate shape.
The interior faces of the cube are all blank. However, the exterior faces that are
not visible in the above view may not be blank.
Which one of the following represents a possible unfolding of the cube?
(A)
(B)
(C)
(D)
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GATE 2022 (CE Set-1) Civil Engineering
Q.11 - 35 Carry ONE mark each.
Q.11 Consider the following expression:
z sin y it cos y it
where z, y, and t are variables, and i 1 is a complex number. The partial
differential equation derived from the above expression is
(A) 2 z 2 z
0
t 2 y 2
(B) 2 z 2 z
0
t 2 y 2
(C) z z
i 0
t y
(D) z z
i 0
t y
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GATE 2022 (CE Set-1) Civil Engineering
Q.12 For the equation
d y dy
+x +x y =0
dx dx
the correct description is
(A) an ordinary differential equation of order 3 and degree 2.
(B) an ordinary differential equation of order 3 and degree 3.
(C) an ordinary differential equation of order 2 and degree 3.
(D) an ordinary differential equation of order 3 and degree 3/2.
Q.13 The hoop stress at a point on the surface of a thin cylindrical pressure vessel is
computed to be 30.0 MPa. The value of maximum shear stress at this point is
(A) 7.5 MPa
(B) 15.0 MPa
(C) 30.0 MPa
(D) 22.5 MPa
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GATE 2022 (CE Set-1) Civil Engineering
Q.14 In the context of elastic theory of reinforced concrete, the modular ratio is
defined as the ratio of
(A) Young’s modulus of elasticity of reinforcement material to Young’s modulus of
elasticity of concrete.
(B) Young’s modulus of elasticity of concrete to Young’s modulus of elasticity of
reinforcement material.
(C) shear modulus of reinforcement material to the shear modulus of concrete.
(D) Young’s modulus of elasticity of reinforcement material to the shear modulus of
concrete.
Q.15 Which of the following equations is correct for the Pozzolanic reaction?
(A) Ca(OH)2 + Reactive Superplasticiser + H2O C-S-H
(B) Ca(OH)2 + Reactive Silicon dioxide + H2O C-S-H
(C) Ca(OH)2 + Reactive Sulphates + H2O C-S-H
(D) Ca(OH)2 + Reactive Sulphur + H2O C-S-H
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GATE 2022 (CE Set-1) Civil Engineering
Q.16 Consider the cross-section of a beam made up of thin uniform elements having
thickness t (t ≪ a) shown in the figure. The (x, y) coordinates of the points along
the center-line of the cross-section are given in the figure.
The coordinates of the shear center of this cross-section are:
(A) x = 0, y = 3a
(B) x = 2a, y = 2a
(C) x = −a, y = 2a
(D) x = −2a, y = a
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GATE 2022 (CE Set-1) Civil Engineering
Q.17 Four different soils are classified as CH, ML, SP, and SW, as per the Unified
Soil Classification System. Which one of the following options correctly
represents their arrangement in the decreasing order of hydraulic conductivity?
(A) SW, SP, ML, CH
(B) CH, ML, SP, SW
(C) SP, SW, CH, ML
(D) ML, SP, CH, SW
Q.18 Let σ and σ denote the effective vertical stress and effective horizontal stress,
respectively. Which one of the following conditions must be satisfied for a soil
element to reach the failure state under Rankine’s passive earth pressure
condition?
(A) σ <σ
(B) σ >σ
(C) σ =σ
(D) σ +σ = 0
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GATE 2022 (CE Set-1) Civil Engineering
Q.19 With respect to fluid flow, match the following in Column X with Column Y:
Column X Column Y
(P) Viscosity (I) Mach number
(Q) Gravity (II) Reynolds number
(R) Compressibility (III) Euler number
(S) Pressure (IV) Froude number
Which one of the following combinations is correct?
(A) (P) – (II), (Q) – (IV), (R) – (I), (S) – (III)
(B) (P) – (III), (Q) – (IV), (R) – (I), (S) – (II)
(C) (P) – (IV), (Q) – (II), (R) – (I), (S) – (III)
(D) (P) – (II), (Q) – (IV), (R) – (III), (S) – (I)
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GATE 2022 (CE Set-1) Civil Engineering
Q.20 Let represent soil suction head and K represent hydraulic conductivity of the
soil. If the soil moisture content increases, which one of the following
statements is TRUE?
(A) decreases and K increases.
(B) increases and K decreases.
(C) Both and K decrease.
(D) Both and K increase.
Q.21 A rectangular channel with Gradually Varied Flow (GVF) has a changing bed
slope. If the change is from a steeper slope to a steep slope, the resulting GVF
profile is
(A) S3
(B) S1
(C) S2
(D) either S1 or S2, depending on the magnitude of the slopes
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GATE 2022 (CE Set-1) Civil Engineering
Q.22 The total hardness in raw water is 500 milligram per liter as CaCO3. The total
hardness of this raw water, expressed in milligram equivalent per liter, is
(Consider the atomic weights of Ca, C, and O as 40 g/mol, 12 g/mol, and
16 g/mol, respectively.)
(A) 10
(B) 100
(C) 1
(D) 5
Q.23 An aerial photograph is taken from a flight at a height of 3.5 km above mean
sea level, using a camera of focal length 152 mm. If the average ground
elevation is 460 m above mean sea level, then the scale of the photograph is
(A) 1 : 20000
(B) 1 : 20
(C) 1 : 100000
(D) 1 : 2800
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GATE 2022 (CE Set-1) Civil Engineering
Q.24 A line between stations P and Q laid on a slope of 1 in 5 was measured as 350 m
using a 50 m tape. The tape is known to be short by 0.1 m.
The corrected horizontal length (in m) of the line PQ will be
(A) 342.52
(B) 349.30
(C) 356.20
(D) 350.70
Q.25 The matrix M is defined as
1 3
M=
4 2
and has eigenvalues 5 and − 2. The matrix Q is formed as
Q = M − 4M − 2M
Which of the following is/are the eigenvalue(s) of matrix Q ?
(A)
(B) 25
(C) 20
(D) 30
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GATE 2022 (CE Set-1) Civil Engineering
Q.26 For wastewater coming from a wood pulping industry, Chemical Oxygen
Demand (COD) and 5-day Biochemical Oxygen Demand (BOD5) were
determined. For this wastewater, which of the following statement(s) is/are
correct?
(A) COD > BOD5
(B) COD ≠ BOD5
(C) COD < BOD5
(D) COD = BOD5
Q.27 Which of the following process(es) can be used for conversion of salt water into
fresh water?
(A) Microfiltration
(B) Electrodialysis
(C) Ultrafiltration
(D) Reverse osmosis
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GATE 2022 (CE Set-1) Civil Engineering
Q.28 A horizontal curve is to be designed in a region with limited space. Which of
the following measure(s) can be used to decrease the radius of curvature?
(A) Decrease the design speed.
(B) Increase the superelevation.
(C) Increase the design speed.
(D) Restrict vehicles with higher weight from using the facility.
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GATE 2022 (CE Set-1) Civil Engineering
Q.29 Consider the following recursive iteration scheme for different values of variable
P with the initial guess x = 1:
1 P
x = x + , n = 1, 2, 3, 4, 5
2 x
For P = 2, x is obtained to be 1.414, rounded-off to three decimal places. For
P = 3, x is obtained to be 1.732, rounded-off to three decimal places.
If P = 10, the numerical value of x is _________ . (round off to three
decimal places)
Q.30 The Fourier cosine series of a function is given by:
f(x) = f cos nx
For f(x) = cos x, the numerical value of (f + f ) is ______ . (round off
to three decimal places)
Q.31 An uncompacted heap of soil has a volume of 10000 m3 and void ratio of 1.
If the soil is compacted to a volume of 7500 m3, then the corresponding void
ratio of the compacted soil is __________. (round off to one decimal place)
Q.32 A concentrated vertical load of 3000 kN is applied on a horizontal ground
surface. Points P and Q are at depths 1 m and 2 m below the ground,
respectively, along the line of application of the load. Considering the ground to
be a linearly elastic, isotropic, semi-infinite medium, the ratio of the increase in
vertical stress at P to the increase in vertical stress at Q is ________. (in integer)
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GATE 2022 (CE Set-1) Civil Engineering
Q.33 At a site, Static Cone Penetration Test was carried out. The measured point (tip)
resistance qc was 1000 kPa at a certain depth. The friction ratio (fr) was estimated
as 1 % at the same depth.
The value of sleeve (side) friction (in kPa) at that depth was
___________________ . (in integer)
Q.34 During a particular stage of the growth of a crop, the consumptive use of water is
2.8 mm/day. The amount of water available in the soil is 50 % of the maximum
depth of available water in the root zone. Consider the maximum root zone depth
of the crop as 80 mm and the irrigation efficiency as 70 %.
The interval between irrigation (in days) will be _________. (round off to the
nearest integer)
Q.35 The bearing of a survey line is N3117W. Its azimuth observed from north is
______ deg. (round off to two decimal places)
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GATE 2022 (CE Set-1) Civil Engineering
Q. 36 - 65 Carry TWO marks each.
Q.36 The Cartesian coordinates of a point P in a right-handed coordinate system are
(1, 1, 1). The transformed coordinates of P due to a 45 clockwise rotation of
the coordinate system about the positive x-axis are
(A) 1, 0, √2
(B) 1, 0, √2
(C) 1, 0, √2
(D) 1, 0, √2
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Q.38 A weld is used for joining an angle section ISA 100 mm × 100 mm × 10 mm to
a gusset plate of thickness 15 mm to transmit a tensile load. The permissible
stress in the angle is 150 MPa and the permissible shear stress on the section
through the throat of the fillet weld is 108 MPa. The location of the centroid of
the angle is represented by Cyy in the figure, where Cyy = 28.4 mm. The area of
cross-section of the angle is 1903 mm2. Assuming the effective throat thickness
of the weld to be 0.7 times the given weld size, the lengths L1 and L2 (rounded-
off to the nearest integer) of the weld required to transmit a load equal to the
full strength of the tension member are, respectively
(A) 541 mm and 214 mm
(B) 214 mm and 541 mm
(C) 380 mm and 151 mm
(D) 151 mm and 380 mm
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GATE 2022 (CE Set-1) Civil Engineering
Q.39 The project activities are given in the following table along with the duration
and dependency.
Activities Duration (days) Depends on
P 10 -
Q 12 -
R 5 P
S 10 Q
T 10 P, Q
Which one of the following combinations is correct?
(A) Total duration of the project = 22 days, Critical path is Q S
(B) Total duration of the project = 20 days, Critical path is Q T
(C) Total duration of the project = 22 days, Critical path is P T
(D) Total duration of the project = 20 days, Critical path is P R
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GATE 2022 (CE Set-1) Civil Engineering
Q.40 The correct match between the physical states of the soils given in Group I and
the governing conditions given in Group II is
Group I Group II
1. normally consolidated soil P. sensitivity > 16
2. quick clay Q. dilation angle = 0
3. sand in critical state R. liquid limit > 50
4. clay of high plasticity S. over consolidation ratio = 1
(A) 1-S, 2-P, 3-Q, 4-R
(B) 1-Q, 2-S, 3-P, 4-R
(C) 1-Q, 2-P, 3-R, 4-S
(D) 1-S, 2-Q, 3-P, 4-R
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GATE 2022 (CE Set-1) Civil Engineering
Q.41 As per Rankine’s theory of earth pressure, the inclination of failure planes is
(45 + )° with respect to the direction of the minor principal stress.
2
The above statement is correct for which one of the following options?
(A) Only the active state and not the passive state
(B) Only the passive state and not the active state
(C) Both active as well as passive states
(D) Neither active nor passive state
Q.42 Henry’s law constant for transferring O2 from air into water, at room
mmol
temperature, is 1.3 . Given that the partial pressure of O2 in the
liter-atm
atmosphere is 0.21 atm, the concentration of dissolved oxygen (mg/liter) in
water in equilibrium with the atmosphere at room temperature is
(Consider the molecular weight of O2 as 32 g/mol)
(A) 8.7
(B) 0.8
(C) 198.1
(D) 0.2
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Q.43 In a water sample, the concentrations of Ca2+, Mg2+ and HCO3 are 100 mg/L,
36 mg/L and 122 mg/L, respectively. The atomic masses of various elements are:
Ca = 40, Mg = 24, H = 1, C = 12, O = 16.
The total hardness and the temporary hardness in the water sample
(in mg/L as CaCO3) will be
(A) 400 and 100, respectively.
(B) 400 and 300, respectively.
(C) 500 and 100, respectively.
(D) 800 and 200, respectively.
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GATE 2022 (CE Set-1) Civil Engineering
Q.44 Consider the four points P, Q, R, and S shown in the Greenshields fundamental
speed-flow diagram. Denote their corresponding traffic densities by k , k , k ,
and k , respectively. The correct order of these densities is
(A) k >k >k >k
(B) k >k >k >k
(C) k >k >k >k
(D) k >k >k >k
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GATE 2022 (CE Set-1) Civil Engineering
Q.45 Let max {a, b} denote the maximum of two real numbers a and b.
Which of the following statement(s) is/are TRUE about the function
f(x) = max{3 − x, x − 1} ?
(A) It is continuous on its domain.
(B) It has a local minimum at x = 2.
(C) It has a local maximum at x = 2.
(D) It is differentiable on its domain.
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GATE 2022 (CE Set-1) Civil Engineering
Q.46 A horizontal force of P kN is applied to a homogeneous body of weight 25 kN,
as shown in the figure. The coefficient of friction between the body and the
floor is 0.3. Which of the following statement(s) is/are correct?
(A) The motion of the body will occur by overturning.
(B) Sliding of the body never occurs.
(C) No motion occurs for P ≤ 6 kN.
(D) The motion of the body will occur by sliding only.
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GATE 2022 (CE Set-1) Civil Engineering
Q.47 In the context of cross-drainage structures, the correct statement(s) regarding
the relative positions of a natural drain (stream/river) and an irrigation canal,
is/are
(A) In an aqueduct, natural drain water goes under the irrigation canal, whereas in a
super-passage, natural drain water goes over the irrigation canal.
(B) In a level crossing, natural drain water goes through the irrigation canal.
(C) In an aqueduct, natural drain water goes over the irrigation canal, whereas in a
super-passage, natural drain water goes under the irrigation canal.
(D) In a canal syphon, natural drain water goes through the irrigation canal.
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GATE 2022 (CE Set-1) Civil Engineering
Q.48 Consider the differential equation
dy
4 x 2 y
dx
For the initial condition y = 3 at x = 1, the value of y at x = 1.4 obtained using
Euler’s method with a step-size of 0.2 is _________. (round off to one decimal
place)
Q.49 A set of observations of independent variable (x) and the corresponding
dependent variable (y) is given below.
x 5 2 4 3
y 16 10 13 12
Based on the data, the coefficient a of the linear regression model
y = a + bx
is estimated as 6.1.
The coefficient b is ______________ . (round off to one decimal place)
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Q.50 The plane truss shown in the figure is subjected to an external force P. It is given
that P = 70 kN, a = 2 m, and b = 3 m.
The magnitude (absolute value) of force (in kN) in member EF is _______.
(round off to the nearest integer)
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GATE 2022 (CE Set-1) Civil Engineering
Q.51 Consider the linearly elastic plane frame shown in the figure. Members HF, FK
and FG are welded together at joint F. Joints K, G and H are fixed supports. A
counter-clockwise moment M is applied at joint F. Consider flexural rigidity
EI = 105 kN-m2 for each member and neglect axial deformations.
If the magnitude (absolute value) of the support moment at H is 10 kN-m, the
magnitude (absolute value) of the applied moment M (in kN-m) to maintain static
equilibrium is ___________. (round off to the nearest integer)
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GATE 2022 (CE Set-1) Civil Engineering
Q.52 Consider a simply supported beam PQ as shown in the figure. A truck having
100 kN on the front axle and 200 kN on the rear axle, moves from left to right.
The spacing between the axles is 3 m. The maximum bending moment at point
R is _________ kNm. (in integer)
Q.53 A reinforced concrete beam with rectangular cross section (width = 300 mm,
effective depth = 580 mm) is made of M30 grade concrete. It has 1%
longitudinal tension reinforcement of Fe 415 grade steel. The design shear
strength for this beam is 0.66 N/mm2. The beam has to resist a factored shear
force of 440 kN. The spacing of two-legged, 10 mm diameter vertical stirrups of
Fe 415 grade steel is __________mm. (round off to the nearest integer)
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GATE 2022 (CE Set-1) Civil Engineering
Q.54 A square concrete pile of 10 m length is driven into a deep layer of uniform
homogeneous clay. Average unconfined compressive strength of the clay,
determined through laboratory tests on undisturbed samples extracted from the
clay layer, is 100 kPa. If the ultimate compressive load capacity of the driven
pile is 632 kN, the required width of the pile is _______ mm. (in integer)
(Bearing capacity factor Nc = 9; adhesion factor = 0.7)
Q.55 A raft foundation of 30 m × 25 m is proposed to be constructed at a depth of 8 m
in a sand layer. A 25 m thick saturated clay layer exists 2 m below the base of
the raft foundation. Below the clay layer, a dense sand layer exists at the site.
A 25 mm thick undisturbed sample was collected from the mid-depth of the clay
layer and tested in a laboratory oedometer under double drainage condition. It
was found that the soil sample had undergone 50 % consolidation settlement in
10 minutes.
The time (in days) required for 25 % consolidation settlement of the raft
foundation will be ____________________. (round off to the nearest integer)
Q.56 A two-hour duration storm event with uniform excess rainfall of 3 cm occurred
on a watershed. The ordinates of streamflow hydrograph resulting from this event
are given in the table.
Time
0 1 2 3 4 5 6 7
(hours)
Streamflow
10 16 34 40 31 25 16 10
(m3/s)
Considering a constant baseflow of 10 m3/s, the peak flow ordinate (in m3/s) of
one-hour unit hydrograph for the watershed is ________ . (in integer)
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GATE 2022 (CE Set-1) Civil Engineering
Q.57 Two reservoirs are connected by two parallel pipes of equal length and of
diameters 20 cm and 10 cm, as shown in the figure (not drawn to scale). When
the difference in the water levels of the reservoirs is 5 m, the ratio of discharge in
the larger diameter pipe to the discharge in the smaller diameter pipe is
____________. (round off to two decimal places)
(Consider only loss due to friction and neglect all other losses. Assume the
friction factor to be the same for both the pipes)
Q.58 Depth of water flowing in a 3 m wide rectangular channel is 2 m. The channel
carries a discharge of 12 m3/s. Take g = 9.8 m/s2.
The bed width (in m) at contraction, which just causes the critical flow, is
_________ without changing the upstream water level. (round off to two decimal
places)
Q.59 A wastewater sample contains two nitrogen species, namely ammonia and
nitrate. Consider the atomic weight of N, H, and O as 14 g/mol, 1 g/mol, and
16 g/mol, respectively. In this wastewater, the concentration of ammonia is
34 mg NH3/liter and that of nitrate is 6.2 mg NO3 /liter. The total nitrogen
concentration in this wastewater is _______ milligram nitrogen per liter.
(round off to one decimal place)
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GATE 2022 (CE Set-1) Civil Engineering
Q.60 A 2 % sewage sample (in distilled water) was incubated for 3 days at 27 °C
temperature. After incubation, a dissolved oxygen depletion of 10 mg/L was
recorded. The biochemical oxygen demand (BOD) rate constant at 27 °C was
found to be 0.23 day-1 (at base e).
The ultimate BOD (in mg/L) of the sewage will be_____________. (round off to
the nearest integer)
Q.61 A water treatment plant has a sedimentation basin of depth 3 m, width 5 m, and
length 40 m. The water inflow rate is 500 m3/h. The removal fraction of particles
having a settling velocity of 1.0 m/h is_______. (round off to one decimal place)
(Consider the particle density as 2650 kg/m3 and liquid density as 991 kg/m3)
Q.62 A two-phase signalized intersection is designed with a cycle time of 100 s. The
amber and red times for each phase are 4 s and 50 s, respectively. If the total
lost time per phase due to start-up and clearance is 2 s, the effective green time
of each phase is ______s. (in integer)
Q.63 At a traffic intersection, cars and buses arrive randomly according to independent
Poisson processes at an average rate of 4 vehicles per hour and 2 vehicles per
hour, respectively. The probability of observing at least 2 vehicles in 30 minutes
is ______. (round off to two decimal places)
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GATE 2022 (CE Set-1) Civil Engineering
Q.64 The vehicle count obtained in every 10 minute interval of a traffic volume survey
done in peak one hour is given below.
Time Interval Vehicle Count
(in minutes)
0 – 10 10
10 – 20 11
20 – 30 12
30 – 40 15
40 – 50 13
50 – 60 11
The peak hour factor (PHF) for 10 minute sub-interval is __________.
(round off to one decimal place)
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GATE 2022 (CE Set-1) Civil Engineering
Q.65 For the dual-wheel carrying assembly shown in the figure, P is the load on each
wheel, a is the radius of the contact area of the wheel, s is the spacing between
the wheels, and d is the clear distance between the wheels. Assuming that the
ground is an elastic, homogeneous, and isotropic half space, the ratio of
Equivalent Single Wheel Load (ESWL) at depth z = d/2 to the ESWL at depth
z = 2s is ___________. (round off to one decimal place)
(Consider the influence angle to be 45° for the linear dispersion of stress with
depth)
END OF THE QUESTION PAPER
CE-1 Page 42 of 42
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Q. No. Session Question Subject Key/Range Mark
Type Name
1 5 MCQ GA D 1
2 5 MCQ GA A 1
3 5 MCQ GA D 1
4 5 MCQ GA B 1
5 5 MCQ GA B 1
6 5 MCQ GA B 2
7 5 MCQ GA B 2
8 5 MCQ GA B 2
9 5 MCQ GA B 2
10 5 MCQ GA MTA 2
11 5 MCQ CE A 1
12 5 MCQ CE A 1
13 5 MCQ CE A OR B 1
14 5 MCQ CE A 1
15 5 MCQ CE B 1
16 5 MCQ CE A 1
17 5 MCQ CE A 1
18 5 MCQ CE A 1
19 5 MCQ CE A 1
20 5 MCQ CE A 1
21 5 MCQ CE A 1
22 5 MCQ CE A 1
23 5 MCQ CE A 1
24 5 MCQ CE A 1
25 5 MSQ CE A, C 1
26 5 MSQ CE A, B 1
27 5 MSQ CE B, D 1
28 5 MSQ CE A, B 1
29 5 NAT CE 3.100 to 3.200 1
30 5 NAT CE 0.120 to 0.130 1
31 5 NAT CE 0.5 to 0.5 1
32 5 NAT CE 4 to 4 1
33 5 NAT CE 10 to 10 1
34 5 NAT CE MTA 1
35 5 NAT CE 328.60 to 328.80 1
36 5 MCQ CE A 2
37 5 MCQ CE A 2
38 5 MCQ CE A 2
39 5 MCQ CE A 2
40 5 MCQ CE A 2
41 5 MCQ CE C 2
42 5 MCQ CE A 2
43 5 MCQ CE A 2
44 5 MCQ CE A 2
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45 5 MSQ CE A, B 2 46 5 MSQ CE A, C OR A, B, C 2 47 5 MSQ CE A, B 2 48 5 NAT CE 6.3 to 6.5 2 49 5 NAT CE 1.9 to 1.9 2 50 5 NAT CE 28 to 32 2 51 5 NAT CE 57 to 63 2 52 5 NAT CE 180 to 180 2 53 5 NAT CE 100 to 102 2 54 5 NAT CE 400 to 400 2 55 5 NAT CE 1730 to 1740 2 56 5 NAT CE 12 to 12 2 57 5 NAT CE 5.60 to 5.70 2 58 5 NAT CE 2.05 to 2.35 2 59 5 NAT CE 29.0 to 30.0 2 60 5 NAT CE 1000 to 1005 2 61 5 NAT CE 0.38 to 0.42 2 62 5 NAT CE 48 to 48 2 63 5 NAT CE 0.78 to 0.82 2 64 5 NAT CE 0.8 to 0.8 2 65 5 NAT CE 0.5 to 0.5 2
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SESSION - 2
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GATE 2022 (CE Set-2) Civil Engineering
GATE 2022 General Aptitude
Q.1 – Q.5 Carry ONE mark each.
Q.1 The movie was funny and I _________.
(A) could help laughing
(B) couldn’t help laughed
(C) couldn’t help laughing
(D) could helped laughed
Q.2
x∶y∶z= : : .
What is the value of ?
(A) 0.75
(B) 1.25
(C) 2.25
(D) 3.25
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GATE 2022 (CE Set-2) Civil Engineering
Q.3
Both the numerator and the denominator of are increased by a positive
integer, x, and those of are decreased by the same integer. This operation
results in the same value for both the fractions.
What is the value of x?
(A) 1
(B) 2
(C) 3
(D) 4
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GATE 2022 (CE Set-2) Civil Engineering
Q.4 A survey of 450 students about their subjects of interest resulted in the
following outcome.
150 students are interested in Mathematics.
200 students are interested in Physics.
175 students are interested in Chemistry.
50 students are interested in Mathematics and Physics.
60 students are interested in Physics and Chemistry.
40 students are interested in Mathematics and Chemistry.
30 students are interested in Mathematics, Physics and Chemistry.
Remaining students are interested in Humanities.
Based on the above information, the number of students interested in
Humanities is
(A) 10
(B) 30
(C) 40
(D) 45
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GATE 2022 (CE Set-2) Civil Engineering
Q.5
For the picture shown above, which one of the following is the correct picture
representing reflection with respect to the mirror shown as the dotted line?
(A)
(B)
(C)
(D)
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GATE 2022 (CE Set-2) Civil Engineering
Q. 6 – Q. 10 Carry TWO marks each.
Q.6 In the last few years, several new shopping malls were opened in the city. The
total number of visitors in the malls is impressive. However, the total revenue
generated through sales in the shops in these malls is generally low.
Which one of the following is the CORRECT logical inference based on the
information in the above passage?
(A) Fewer people are visiting the malls but spending more
(B) More people are visiting the malls but not spending enough
(C) More people are visiting the malls and spending more
(D) Fewer people are visiting the malls and not spending enough
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GATE 2022 (CE Set-2) Civil Engineering
Q.7 In a partnership business the monthly investment by three friends for the first
six months is in the ratio 3: 4: 5. After six months, they had to increase their
monthly investments by 10%, 15% and 20%, respectively, of their initial
monthly investment. The new investment ratio was kept constant for the next
six months.
What is the ratio of their shares in the total profit (in the same order) at the end
of the year such that the share is proportional to their individual total investment
over the year?
(A) 22 : 23 : 24
(B) 22 : 33 : 50
(C) 33 : 46 : 60
(D) 63 : 86 : 110
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GATE 2022 (CE Set-2) Civil Engineering
Q.8 Consider the following equations of straight lines:
Line L1: 2x − 3y = 5
Line L2: 3x + 2y = 8
Line L3: 4x − 6y = 5
Line L4: 6x − 9y = 6
Which one among the following is the correct statement?
(A) L1 is parallel to L2 and L1 is perpendicular to L3
(B) L2 is parallel to L4 and L2 is perpendicular to L1
(C) L3 is perpendicular to L4 and L3 is parallel to L2
(D) L4 is perpendicular to L2 and L4 is parallel to L3
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GATE 2022 (CE Set-2) Civil Engineering
Q.9 Given below are two statements and four conclusions drawn based on the
statements.
Statement 1: Some soaps are clean.
Statement 2: All clean objects are wet.
Conclusion I: Some clean objects are soaps.
Conclusion II: No clean object is a soap.
Conclusion III: Some wet objects are soaps.
Conclusion IV: All wet objects are soaps.
Which one of the following options can be logically inferred?
(A) Only conclusion I is correct
(B) Either conclusion I or conclusion II is correct
(C) Either conclusion III or conclusion IV is correct
(D) Only conclusion I and conclusion III are correct
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GATE 2022 (CE Set-2) Civil Engineering
Q.10 An ant walks in a straight line on a plane leaving behind a trace of its
movement. The initial position of the ant is at point P facing east.
The ant first turns 72o anticlockwise at P, and then does the following two
steps in sequence exactly FIVE times before halting.
1. moves forward for 10 cm.
2. turns 144o clockwise.
The pattern made by the trace left behind by the ant is
(A)
(B)
(C)
(D)
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GATE 2022 (CE Set-2) Civil Engineering
Q.11 - 35 Carry ONE mark each.
Q.11 The function f(x, y) satisfies the Laplace equation
∇ f(x, y) = 0
on a circular domain of radius r = 1 with its center at point P with coordinates
x = 0, y = 0. The value of this function on the circular boundary of this domain
is equal to 3.
The numerical value of f(0, 0) is:
(A) 0
(B) 2
(C) 3
(D) 1
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GATE 2022 (CE Set-2) Civil Engineering
Q.12
x
x2 x3 x 4 dx is equal to
2 3 4
(A)
+ Constant
(B)
+ Constant
(C)
− + Constant
(D)
− + Constant
Q.13 For a linear elastic and isotropic material, the correct relationship among
Young’s modulus of elasticity (E), Poisson’s ratio ( ), and shear modulus (G)
is
(A) E
G
2(1 )
(B) E
G
(1 2 )
(C) G
E
2(1 )
(D) G
E
(1 2 )
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GATE 2022 (CE Set-2) Civil Engineering
Q.14 Read the following statements relating to flexure of reinforced concrete beams:
I. In over-reinforced sections, the failure strain in concrete reaches earlier than
the yield strain in steel.
II. In under-reinforced sections, steel reaches yielding at a load lower than the
load at which the concrete reaches failure strain.
III. Over-reinforced beams are recommended in practice as compared to the
under-reinforced beams.
IV. In balanced sections, the concrete reaches failure strain earlier than the yield
strain in tensile steel.
Each of the above statements is either True or False.
Which one of the following combinations is correct?
(A) I (True), II (True), III (False), IV (False)
(B) I (True), II (True), III (False), IV (True)
(C) I (False), II (False), III (True), IV (False)
(D) I (False), II (True), III (True), IV (False)
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GATE 2022 (CE Set-2) Civil Engineering
Q.15 Match all the possible combinations between Column X (Cement compounds)
and Column Y (Cement properties):
Column X Column Y
(i) C3S (P) Early age strength
(ii) C2S (Q) Later age strength
(iii) C3A (R) Flash setting
(S) Highest heat of hydration
(T) Lowest heat of hydration
Which one of the following combinations is correct?
(A) (i) - (P), (ii) - (Q) and (T), (iii) - (R) and (S)
(B) (i) - (Q) and (T), (ii) - (P) and (S), (iii) - (R)
(C) (i) - (P), (ii) - (Q) and (R), (iii) - (T)
(D) (i) - (T), (ii) - (S), (iii) - (P) and (Q)
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GATE 2022 (CE Set-2) Civil Engineering
Q.16 Consider a beam PQ fixed at P, hinged at Q, and subjected to a load F as shown
in figure (not drawn to scale). The static and kinematic degrees of
indeterminacy, respectively, are
(A) 2 and 1
(B) 2 and 0
(C) 1 and 2
(D) 2 and 2
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GATE 2022 (CE Set-2) Civil Engineering
Q.17 Read the following statements:
(P) While designing a shallow footing in sandy soil, monsoon season is
considered for critical design in terms of bearing capacity.
(Q) For slope stability of an earthen dam, sudden drawdown is never a critical
condition.
(R) In a sandy sea beach, quicksand condition can arise only if the critical
hydraulic gradient exceeds the existing hydraulic gradient.
(S) The active earth thrust on a rigid retaining wall supporting homogeneous
cohesionless backfill will reduce with the lowering of water table in the
backfill.
Which one of the following combinations is correct?
(A) (P)-True, (Q)-False, (R)-False, (S)-False
(B) (P)-False, (Q)-True, (R)-True, (S)-True
(C) (P)-True, (Q)-False, (R)-True, (S)-True
(D) (P)-False, (Q)-True, (R)-False, (S)-False
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GATE 2022 (CE Set-2) Civil Engineering
Q.18 Stresses acting on an infinitesimal soil element are shown in the figure
(with σ > σ ). The major and minor principal stresses are σ and σ ,
respectively. Considering the compressive stresses as positive, which one of the
following expressions correctly represents the angle between the major
principal stress plane and the horizontal plane?
(A) zx
tan 1
1 x
(B) zx
tan 1
3 x
(C) zx
tan 1
1 x
(D)
tan 1 zx
1 3
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GATE 2022 (CE Set-2) Civil Engineering
Q.19 Match Column X with Column Y:
Column X Column Y
(P) Horton equation (I) Design of alluvial channel
(Q) Penman method (II) Maximum flood discharge
(R) Chezy’s formula (III) Evapotranspiration
(S) Lacey’s theory (IV) Infiltration
(T) Dicken’s formula (V) Flow velocity
Which one of the following combinations is correct?
(A) (P)-(IV), (Q)-(III), (R)-(V), (S)-(I), (T)-(II)
(B) (P)-(III), (Q)-(IV), (R)-(V), (S)-(I), (T)-(II)
(C) (P)-(IV), (Q)-(III), (R)-(II), (S)-(I), (T)-(V)
(D) (P)-(III), (Q)-(IV), (R)-(I), (S)-(V), (T)-(II)
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GATE 2022 (CE Set-2) Civil Engineering
Q.20 In a certain month, the reference crop evapotranspiration at a location is
6 mm/day. If the crop coefficient and soil coefficient are 1.2 and 0.8, respectively,
the actual evapotranspiration in mm/day is
(A) 5.76
(B) 7.20
(C) 6.80
(D) 8.00
Q.21 The dimension of dynamic viscosity is:
(A) M L-1 T -1
(B) M L-1 T -2
(C) M L-2 T -2
(D) M L0 T -1
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GATE 2022 (CE Set-2) Civil Engineering
Q.22 A process equipment emits 5 kg/h of volatile organic compounds (VOCs). If a
hood placed over the process equipment captures 95% of the VOCs, then the
fugitive emission in kg/h is
(A) 0.25
(B) 4.75
(C) 2.50
(D) 0.48
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GATE 2022 (CE Set-2) Civil Engineering
Q.23 Match the following attributes of a city with the appropriate scale of
measurements.
Attribute Scale of
measurement
(P) Average temperature (°C) of a city (I) Interval
(Q) Name of a city (II) Ordinal
(R) Population density of a city (III) Nominal
(S) Ranking of a city based on ease of (IV) Ratio
business
Which one of the following combinations is correct?
(A) (P)-(I), (Q)-(III), (R)-(IV), (S)-(II)
(B) (P)-(II), (Q)-(I), (R)-(IV), (S)-(III)
(C) (P)-(II), (Q)-(III), (R)-(IV), (S)-(I)
(D) (P)-(I), (Q)-(II), (R)-(III), (S)-(IV)
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GATE 2022 (CE Set-2) Civil Engineering
Q.24 If the magnetic bearing of the Sun at a place at noon is S 2° E, the magnetic
declination (in degrees) at that place is
(A) 2° E
(B) 2° W
(C) 4° E
(D) 4° W
Q.25 P and Q are two square matrices of the same order. Which of the following
statement(s) is/are correct?
If P and Q are invertible, then PQ Q P .
1 1 1
(A)
If P and Q are invertible, then QP P Q .
1 1 1
(B)
If P and Q are invertible, then PQ
1
(C) P 1Q1 .
If P and Q are not invertible, then PQ Q P .
1 1 1
(D)
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GATE 2022 (CE Set-2) Civil Engineering
Q.26 In a solid waste handling facility, the moisture contents (MC) of food waste,
paper waste, and glass waste were found to be MCf, MCp, and MCg, respectively.
Similarly, the energy contents (EC) of plastic waste, food waste, and glass waste
were found to be ECpp, ECf, and ECg, respectively. Which of the following
statement(s) is/are correct?
(A) MCf > MCp > MCg
(B) ECpp > ECf > ECg
(C) MCf < MCp < MCg
(D) ECpp < ECf < ECg
Q.27 To design an optimum municipal solid waste collection route, which of the
following is/are NOT desired:
(A) Collection vehicle should not travel twice down the same street in a day.
(B) Waste collection on congested roads should not occur during rush hours in
morning or evening.
(C) Collection should occur in the uphill direction.
(D) The last collection point on a route should be as close as possible to the waste
disposal facility.
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GATE 2022 (CE Set-2) Civil Engineering
Q.28 For a traffic stream, v is the space mean speed, k is the density, q is the flow,
vf is the free flow speed, and kj is the jam density. Assume that the speed
decreases linearly with density.
Which of the following relation(s) is/are correct?
(A) k
q=k k− k
v
(B) v
q=v k− k
k
(C) v
q=v v− v
k
(D) k
q=k v− v
v
Q.29 The error in measuring the radius of a 5 cm circular rod was 0.2%. If the
cross-sectional area of the rod was calculated using this measurement, then the
resulting absolute percentage error in the computed area is______.
(round off to two decimal places)
Q.30 The components of pure shear strain in a sheared material are given in the matrix
form:
1 1
ε=
1 −1
Here, Trace(ε) = 0. Given, P = Trace(ε ) and Q = Trace(ε ).
The numerical value of (P + Q) is ________. (in integer)
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GATE 2022 (CE Set-2) Civil Engineering
Q.31 The inside diameter of a sampler tube is 50 mm. The inside diameter of the
cutting edge is kept such that the Inside Clearance Ratio (ICR) is 1.0 % to
minimize the friction on the sample as the sampler tube enters into the soil.
The inside diameter (in mm) of the cutting edge is _________________.
(round off to two decimal places)
Q.32 A concentrically loaded isolated square footing of size 2 m × 2 m carries a
concentrated vertical load of 1000 kN. Considering Boussinesq’s theory of stress
distribution, the maximum depth (in m) of the pressure bulb corresponding to
10 % of the vertical load intensity will be ___________. (round off to two
decimal places)
Q.33 In a triaxial unconsolidated undrained (UU) test on a saturated clay sample, the
cell pressure was 100 kPa. If the deviatoric stress at failure was 150 kPa, then
the undrained shear strength of the soil is _________ kPa. (in integer)
Q.34 A flood control structure having an expected life of n years is designed by
considering a flood of return period T years. When T = n, and n → , the
structure’s hydrologic risk of failure in percentage is .
(round off to one decimal place)
Q.35 The base length of the runway at the mean sea level (MSL) is 1500 m. If the
runway is located at an altitude of 300 m above the MSL, the actual length
(in m) of the runway to be provided is ____________. (round off to the nearest
integer)
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GATE 2022 (CE Set-2) Civil Engineering
Q. 36 - 65 Carry TWO marks each.
Q.36 Consider the polynomial f(x) = x − 6x + 11x − 6 on the domain S
given by 1 ≤ x ≤ 3. The first and second derivatives are f (x) and f (x).
Consider the following statements:
I. The given polynomial is zero at the boundary points x = 1 and x = 3.
II. There exists one local maxima of f(x) within the domain S.
III. The second derivative f′′(x) > 0 throughout the domain S.
IV. There exists one local minima of f(x) within the domain S.
The correct option is:
(A) Only statements I, II and III are correct.
(B) Only statements I, II and IV are correct.
(C) Only statements I and IV are correct.
(D) Only statements II and IV are correct.
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GATE 2022 (CE Set-2) Civil Engineering
Q.37 An undamped spring-mass system with mass m and spring stiffness k is shown
in the figure. The natural frequency and natural period of this system are rad/s
and T s, respectively. If the stiffness of the spring is doubled and the mass is
halved, then the natural frequency and the natural period of the modified
system, respectively, are
(A) 2 rad/s and T/2 s
(B) /2 rad/s and 2T s
(C) 4 rad/s and T/4 s
(D) rad/s and T s
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GATE 2022 (CE Set-2) Civil Engineering
Q.38 For the square steel beam cross-section shown in the figure, the shape factor about
z − z axis is S and the plastic moment capacity is M . Consider yield stress
fy = 250 MPa and a = 100 mm.
The values of S and M (rounded-off to one decimal place) are
(A) S = 2.0, M = 58.9 kN-m
(B) S = 2.0, M = 100.2 kN-m
(C) S = 1.5, M = 58.9 kN-m
(D) S = 1.5, M = 100.2 kN-m
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GATE 2022 (CE Set-2) Civil Engineering
Q.39 A post-tensioned concrete member of span 15 m and cross-section of
450 mm 450 mm is prestressed with three steel tendons, each of
cross-sectional area 200 mm2. The tendons are tensioned one after another
to a stress of 1500 MPa. All the tendons are straight and located at 125 mm
from the bottom of the member. Assume the prestress to be the same in all
tendons and the modular ratio to be 6. The average loss of prestress, due to
elastic deformation of concrete, considering all three tendons is
(A) 14.16 MPa
(B) 7.08 MPa
(C) 28.32 MPa
(D) 42.48 MPa
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GATE 2022 (CE Set-2) Civil Engineering
Q.40 Match the following in Column X with Column Y:
Column X Column Y
(P) In a triaxial compression test, with increase of axial (I) decreases.
strain in loose sand under drained shear condition,
the volumetric strain
(Q) In a triaxial compression test, with increase of axial (II) increases.
strain in loose sand under undrained shear condition,
the excess pore water pressure
(R) In a triaxial compression test, the pore pressure (III) remains same.
parameter “B” for a saturated soil
(S) For shallow strip footing in pure saturated clay, (IV) is always 0.0.
Terzaghi’s bearing capacity factor (Nq) due to
surcharge
(V) is always 1.0.
(VI) is always 0.5.
Which one of the following combinations is correct?
(A) (P)-(I), (Q)-(II), (R)-(V), (S)-(V)
(B) (P)-(II), (Q)-(I), (R)-(IV), (S)-(V)
(C) (P)-(I), (Q)-(III), (R)-(VI), (S)-(IV)
(D) (P)-(I), (Q)-(II), (R)-(V), (S)-(VI)
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GATE 2022 (CE Set-2) Civil Engineering
Q.41 A soil sample is underlying a water column of height h1, as shown in the figure.
The vertical effective stresses at points A, B, and C are σ , σ , and σ ,
respectively. Let γ and γ be the saturated and submerged unit weights of the
soil sample, respectively, and γw be the unit weight of water. Which one of the
following expressions correctly represents the sum (σA + σB + σ ) ?
(A) (2ℎ + ℎ )γ
(B) (ℎ + ℎ + ℎ )γ
(C) (ℎ + ℎ ) (γsat − γw )
(D) (ℎ + ℎ + ℎ )γsat
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GATE 2022 (CE Set-2) Civil Engineering
Q.42 A 100 mg of HNO3 (strong acid) is added to water, bringing the final volume to
1.0 liter. Consider the atomic weights of H, N, and O, as 1 g/mol, 14 g/mol, and
16 g/mol, respectively. The final pH of this water is
(Ignore the dissociation of water.)
(A) 2.8
(B) 6.5
(C) 3.8
(D) 8.5
Q.43 In a city, the chemical formula of biodegradable fraction of municipal solid waste
(MSW) is C100H250O80N. The waste has to be treated by forced-aeration
composting process for which air requirement has to be estimated.
Assume oxygen in air (by weight) = 23 %, and density of air = 1.3 kg/m3.
Atomic mass: C = 12, H = 1, O = 16, N = 14.
C and H are oxidized completely whereas N is converted only into NH3 during
oxidation.
For oxidative degradation of 1 tonne of the waste, the required theoretical volume
of air (in m3/tonne) will be (round off to the nearest integer)
(A) 4749
(B) 8025
(C) 1418
(D) 1092
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Q.44 A single-lane highway has a traffic density of 40 vehicles/km. If the time-mean
speed and space-mean speed are 40 kmph and 30 kmph, respectively, the
average headway (in seconds) between the vehicles is
(A) 3.00
(B) 2.25
(C) 8.33 × 104
(D) 6.25 × 104
Q.45 Let y be a non-zero vector of size 2022 × 1. Which of the following
statement(s) is/are TRUE?
(A) yy is a symmetric matrix.
(B) y y is an eigenvalue of yy .
(C) yy has a rank of 2022.
(D) yy is invertible.
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Q.46 Which of the following statement(s) is/are correct?
(A) If a linearly elastic structure is subjected to a set of loads, the partial derivative
of the total strain energy with respect to the deflection at any point is equal to
the load applied at that point.
(B) If a linearly elastic structure is subjected to a set of loads, the partial derivative
of the total strain energy with respect to the load at any point is equal to the
deflection at that point.
(C) If a structure is acted upon by two force system Pa and Pb , in equilibrium
separately, the external virtual work done by a system of forces Pb during the
deformations caused by another system of forces Pa is equal to the external
virtual work done by the Pa system during the deformation caused by the Pb
system.
(D) The shear force in a conjugate beam loaded by the M/EI diagram of the real
beam is equal to the corresponding deflection of the real beam.
Q.47 Water is flowing in a horizontal, frictionless, rectangular channel. A smooth
hump is built on the channel floor at a section and its height is gradually increased
to reach choked condition in the channel. The depth of water at this section is y 2
and that at its upstream section is y1 . The correct statement(s) for the choked and
unchoked conditions in the channel is/are
(A) In choked condition, y1 decreases if the flow is supercritical and increases if the
flow is subcritical.
(B) In choked condition, y 2 is equal to the critical depth if the flow is supercritical
or subcritical.
(C) In unchoked condition, y1 remains unaffected when the flow is supercritical or
subcritical.
(D) In choked condition, y1 increases if the flow is supercritical and decreases if the
flow is subcritical.
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GATE 2022 (CE Set-2) Civil Engineering
Q.48 The concentration s(x, t) of pollutants in a one-dimensional reservoir at position
x and time t satisfies the diffusion equation
∂s(x, t) ∂ s(x, t)
= D
∂t ∂x
on the domain 0 ≤ x ≤ L, where D is the diffusion coefficient of the pollutants.
The initial condition s(x, 0) is defined by the step-function shown in the figure.
( , )
= 0 at the boundary
The boundary conditions of the problem are given by
points x = 0 and x = L at all times. Consider D = 0. 1 m2 /s,
s = 5 μmol/m, and L = 10 m.
The steady-state concentration s̃ = s , ∞ at the center x = of the
reservoir (in μmol/m) is ___________. (in integer)
Q.49 A pair of six-faced dice is rolled thrice. The probability that the sum of the
outcomes in each roll equals 4 in exactly two of the three attempts is ______.
(round off to three decimal places)
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GATE 2022 (CE Set-2) Civil Engineering
Q.50 Consider two linearly elastic rods HI and IJ, each of length b, as shown in the
figure. The rods are co-linear, and confined between two fixed supports at H and
J. Both the rods are initially stress free. The coefficient of linear thermal
expansion is α for both the rods. The temperature of the rod IJ is raised by ∆T,
whereas the temperature of rod HI remains unchanged. An external horizontal
force P is now applied at node I. It is given that α = 10 6 ℃ 1 , ∆T = 50 ℃,
b = 2 m, AE = 106 N. The axial rigidities of the rods HI and IJ are 2AE and
AE, respectively.
To make the axial force in rod HI equal to zero, the value of the external
force P (in N) is _________. (round off to the nearest integer)
Q.51 The linearly elastic planar structure shown in the figure is acted upon by two
vertical concentrated forces. The horizontal beams UV and WX are connected
with the help of the vertical linear spring with spring constant k = 20 kN/m. The
fixed supports are provided at U and X. It is given that flexural rigidity
EI = 105 kN-m2, P = 100 kN, and a = 5 m. Force Q is applied at the center of
beam WX such that the force in the spring VW becomes zero.
The magnitude of force Q (in kN) is ________. (round off to the nearest integer)
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GATE 2022 (CE Set-2) Civil Engineering
Q.52 A uniform rod KJ of weight w shown in the figure rests against a frictionless
vertical wall at the point K and a rough horizontal surface at point J. It is given
that w = 10 kN, a = 4 m and b = 3 m.
The minimum coefficient of static friction that is required at the point J to hold
the rod in equilibrium is ___________. (round off to three decimal places)
Q.53 The activities of a project are given in the following table along with their
durations and dependency.
Activities Duration (days) Depends on
A 10 -
B 12 -
C 5 A
D 14 B
E 10 B, C
The total float of the activity E (in days) is ________. (in integer)
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GATE 2022 (CE Set-2) Civil Engineering
Q.54 A group of total 16 piles are arranged in a square grid format. The center-to-
center spacing (s) between adjacent piles is 3 m. The diameter (d) and length of
embedment of each pile are 1 m and 20 m, respectively. The design capacity of
each pile is 1000 kN in the vertical downward direction. The pile group efficiency
(g ) is given by
θ (n − 1)m + (m − 1)n
= 1−
90 mn
where m and n are number of rows and columns in the plan grid of pile
arrangement, and θ = tan .
The design value of the pile group capacity (in kN) in the vertical downward
direction is __________________. (round off to the nearest integer)
Q.55 A saturated compressible clay layer of thickness h is sandwiched between two
sand layers, as shown in the figure. Initially, the total vertical stress and pore
water pressure at point P, which is located at the mid-depth of the clay layer,
were 150 kPa and 25 kPa, respectively. Construction of a building caused an
additional total vertical stress of 100 kPa at P. When the vertical effective stress
at P is 175 kPa, the percentage of consolidation in the clay layer at P is
_____________. (in integer)
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GATE 2022 (CE Set-2) Civil Engineering
Q.56 A hydraulic jump takes place in a 6 m wide rectangular channel at a point where
the upstream depth is 0.5 m (just before the jump). If the discharge in the
channel is 30 m3/s and the energy loss in the jump is 1.6 m, then the Froude
number computed at the end of the jump is ___________. (round off to two
decimal places)
(Consider the acceleration due to gravity as 10 m/s2.)
Q.57 A pump with an efficiency of 80% is used to draw groundwater from a well for
irrigating a flat field of area 108 hectares. The base period and delta for paddy
crop on this field are 120 days and 144 cm, respectively. Water application
efficiency in the field is 80%. The lowest level of water in the well is 10 m
below the ground. The minimum required horse power (h.p.) of the pump is
________. (round off to two decimal places)
(Consider 1 h.p. = 746 W; unit weight of water = 9810 N/m3)
Q.58 Two discrete spherical particles (P and Q) of equal mass density are
independently released in water. Particle P and particle Q have diameters of
0.5 mm and 1.0 mm, respectively. Assume Stokes’ law is valid.
The drag force on particle Q will be________ times the drag force on particle P.
(round off to the nearest integer)
Q.59 At a municipal waste handling facility, 30 metric ton mixture of food waste,
yard waste, and paper waste was available. The moisture content of this mixture
was found to be 10%. The ideal moisture content for composting this mixture is
50%. The amount of water to be added to this mixture to bring its moisture
content to the ideal condition is _______metric ton. (in integer)
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GATE 2022 (CE Set-2) Civil Engineering
Q.60 A sewage treatment plant receives sewage at a flow rate of 5000 m3/day. The
total suspended solids (TSS) concentration in the sewage at the inlet of primary
clarifier is 200 mg/L. After the primary treatment, the TSS concentration in
sewage is reduced by 60 %. The sludge from the primary clarifier contains 2 %
solids concentration. Subsequently, the sludge is subjected to gravity thickening
process to achieve a solids concentration of 6 %. Assume that the density of
sludge, before and after thickening, is 1000 kg/m3.
The daily volume of the thickened sludge (in m3/day) will be_________.
(round off to the nearest integer)
Q.61 A sample of air analyzed at 25 °C and 1 atm pressure is reported to contain
0.04 ppm of SO2. Atomic mass of S = 32, O = 16.
The equivalent SO2 concentration (in µg/m3) will be__________. (round off to
the nearest integer)
Q.62 A parabolic vertical crest curve connects two road segments with grades +1.0
and 2.0. If a 200 m stopping sight distance is needed for a driver at a height
of 1.2 m to avoid an obstacle of height 0.15 m, then the minimum curve length
should be ______ m. (round off to the nearest integer)
Q.63 Assuming that traffic on a highway obeys the Greenshields model, the speed of
a shockwave between two traffic streams (P) and (Q) as shown in the schematic
is _______ kmph. (in integer)
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GATE 2022 (CE Set-2) Civil Engineering
Q.64 It is given that an aggregate mix has 260 grams of coarse aggregates and
240 grams of fine aggregates. The specific gravities of the coarse and fine
aggregates are 2.6 and 2.4, respectively. The bulk specific gravity of the mix is
2.3.
The percentage air voids in the mix is ____________. (round off to the nearest
integer)
Q.65 The lane configuration with lane volumes in vehicles per hour of a four-arm
signalized intersection is shown in the figure. There are only two phases: the first
phase is for the East-West and the West-East through movements, and the second
phase is for the North-South and the South-North through movements. There are
no turning movements. Assume that the saturation flow is 1800 vehicles per hour
per lane for each lane and the total lost time for the first and the second phases
together is 9 seconds.
The optimum cycle length (in seconds), as per the Webster’s method, is
____________. (round off to the nearest integer)
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Q. No. Session Question Subject Key/Range Mark
Type Name
1 6 MCQ GA C 1
2 6 MCQ GA B 1
3 6 MCQ GA C 1
4 6 MCQ GA D 1
5 6 MCQ GA A 1
6 6 MCQ GA B 2
7 6 MCQ GA D 2
8 6 MCQ GA D 2
9 6 MCQ GA D 2
10 6 MCQ GA C 2
11 6 MCQ CE C 1
12 6 MCQ CE MTA 1
13 6 MCQ CE A 1
14 6 MCQ CE A 1
15 6 MCQ CE A 1
16 6 MCQ CE A 1
17 6 MCQ CE A 1
18 6 MCQ CE A 1
19 6 MCQ CE A 1
20 6 MCQ CE A 1
21 6 MCQ CE A 1
22 6 MCQ CE A 1
23 6 MCQ CE A 1
24 6 MCQ CE A 1
25 6 MSQ CE A, B 1
26 6 MSQ CE A, B 1
27 6 MSQ CE C 1
28 6 MSQ CE B, D 1
29 6 NAT CE 0.39 to 0.41 1
30 6 NAT CE 32 to 32 1
31 6 NAT CE 49.49 to 49.52 1
32 6 NAT CE 4.35 to 4.39 1
33 6 NAT CE 75 to 75 1
34 6 NAT CE 63.0 to 63.5 1
35 6 NAT CE 1602 to 1606 1
36 6 MCQ CE B 2
37 6 MCQ CE A 2
38 6 MCQ CE A 2
39 6 MCQ CE A 2
40 6 MCQ CE A 2
41 6 MCQ CE A 2
42 6 MCQ CE A 2
43 6 MCQ CE A 2
44 6 MCQ CE A 2
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45 6 MSQ CE A, B 2 46 6 MSQ CE A, B, C 2 47 6 MSQ CE A, B, C 2 48 6 NAT CE 2 to 2 2 49 6 NAT CE 0.018 to 0.020 2 50 6 NAT CE 47 to 53 2 51 6 NAT CE 620 to 660 2 52 6 NAT CE 0.350 to 0.400 2 53 6 NAT CE 1 to 1 2 54 6 NAT CE 11000 to 11200 2 55 6 NAT CE 50 to 50 2 56 6 NAT CE 0.20 to 0.41 2 57 6 NAT CE 30.00 to 32.00 2 58 6 NAT CE 8 to 8 2 59 6 NAT CE 24 to 24 2 60 6 NAT CE 10 to 10 2 61 6 NAT CE 102 to 108 2 62 6 NAT CE 270 to 275 2 63 6 NAT CE 15 to 15 2 64 6 NAT CE 8 to 8 2 65 6 NAT CE 37 to 37 2
Text of page 1
Q. No. Session Question Subject Key/Range Mark
Type Name
1 5 MCQ GA D 1
2 5 MCQ GA A 1
3 5 MCQ GA D 1
4 5 MCQ GA B 1
5 5 MCQ GA B 1
6 5 MCQ GA B 2
7 5 MCQ GA B 2
8 5 MCQ GA B 2
9 5 MCQ GA B 2
10 5 MCQ GA MTA 2
11 5 MCQ CE A 1
12 5 MCQ CE A 1
13 5 MCQ CE A OR B 1
14 5 MCQ CE A 1
15 5 MCQ CE B 1
16 5 MCQ CE A 1
17 5 MCQ CE A 1
18 5 MCQ CE A 1
19 5 MCQ CE A 1
20 5 MCQ CE A 1
21 5 MCQ CE A 1
22 5 MCQ CE A 1
23 5 MCQ CE A 1
24 5 MCQ CE A 1
25 5 MSQ CE A, C 1
26 5 MSQ CE A, B 1
27 5 MSQ CE B, D 1
28 5 MSQ CE A, B 1
29 5 NAT CE 3.100 to 3.200 1
30 5 NAT CE 0.120 to 0.130 1
31 5 NAT CE 0.5 to 0.5 1
32 5 NAT CE 4 to 4 1
33 5 NAT CE 10 to 10 1
34 5 NAT CE MTA 1
35 5 NAT CE 328.60 to 328.80 1
36 5 MCQ CE A 2
37 5 MCQ CE A 2
38 5 MCQ CE A 2
39 5 MCQ CE A 2
40 5 MCQ CE A 2
41 5 MCQ CE C 2
42 5 MCQ CE A 2
43 5 MCQ CE A 2
44 5 MCQ CE A 2
Text of page 2
45 5 MSQ CE A, B 2 46 5 MSQ CE A, C OR A, B, C 2 47 5 MSQ CE A, B 2 48 5 NAT CE 6.3 to 6.5 2 49 5 NAT CE 1.9 to 1.9 2 50 5 NAT CE 28 to 32 2 51 5 NAT CE 57 to 63 2 52 5 NAT CE 180 to 180 2 53 5 NAT CE 100 to 102 2 54 5 NAT CE 400 to 400 2 55 5 NAT CE 1730 to 1740 2 56 5 NAT CE 12 to 12 2 57 5 NAT CE 5.60 to 5.70 2 58 5 NAT CE 2.05 to 2.35 2 59 5 NAT CE 29.0 to 30.0 2 60 5 NAT CE 1000 to 1005 2 61 5 NAT CE 0.38 to 0.42 2 62 5 NAT CE 48 to 48 2 63 5 NAT CE 0.78 to 0.82 2 64 5 NAT CE 0.8 to 0.8 2 65 5 NAT CE 0.5 to 0.5 2
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Source: GATE. Question paper published by GATE.