GATE CE 2024: Civil Engineering Session 2
Text of page 1
Civil Engineering Set 2 (CE2)
General Aptitude (GA)
Q.1 – Q.5 Carry ONE mark Each
Q.1 If ‘→’ denotes increasing order of intensity, then the meaning of the words
[drizzle → rain → downpour] is analogous to [ ______ → quarrel → feud].
Which one of the given options is appropriate to fill the blank?
(A) bicker
(B) bog
(C) dither
(D) dodge
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Civil Engineering Set 2 (CE2)
Q.2 Statements:
1. All heroes are winners.
2. All winners are lucky people.
Inferences:
I. All lucky people are heroes.
II. Some lucky people are heroes.
III. Some winners are heroes.
Which of the above inferences can be logically deduced from statements 1 and 2?
(A) Only I and II
(B) Only II and III
(C) Only I and III
(D) Only III
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Civil Engineering Set 2 (CE2)
Q.3 A student was supposed to multiply a positive real number p with another positive
real number q. Instead, the student divided p by q. If the percentage error in the
student’s answer is 80%, the value of q is
(A) 5
(B) √2
(C) 2
(D) √5
Q.4 If the sum of the first 20 consecutive positive odd numbers is divided by 202 , the
result is
(A) 1
(B) 20
(C) 2
(D) 1/2
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Civil Engineering Set 2 (CE2)
Q.5 The ratio of the number of girls to boys in class VIII is the same as the ratio of the
number of boys to girls in class IX. The total number of students (boys and girls) in
classes VIII and IX is 450 and 360, respectively. If the number of girls in classes
VIII and IX is the same, then the number of girls in each class is
(A) 150
(B) 200
(C) 250
(D) 175
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Civil Engineering Set 2 (CE2)
Q.6 – Q.10 Carry TWO marks Each
Q.6 In the given text, the blanks are numbered (i)−(iv). Select the best match for
all the blanks.
(i) (ii)
Yoko Roi stands as an author for standing as an honorary
(iii) (iv)
fellow, after she stood her writings that stand the freedom of
speech.
(A) (i) out (ii) down (iii) in (iv) for
(B) (i) down (ii) out (iii) by (iv) in
(C) (i) down (ii) out (iii) for (iv) in
(D) (i) out (ii) down (iii) by (iv) for
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Civil Engineering Set 2 (CE2)
Q.7 Seven identical cylindrical chalk-sticks are fitted tightly in a cylindrical container.
The figure below shows the arrangement of the chalk-sticks inside the cylinder.
The length of the container is equal to the length of the chalk-sticks. The ratio of
the occupied space to the empty space of the container is
(A) 5/2
(B) 7/2
(C) 9/2
(D) 3
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Civil Engineering Set 2 (CE2)
Q.8 The plot below shows the relationship between the mortality risk of cardiovascular
disease and the number of steps a person walks per day. Based on the data, which
one of the following options is true?
1
Mortality Risk of Cardiovascular Disease
0.8
0.6
0.4
0.2
0
0 5000 10000 15000 20000
Steps/Day
(A) The risk reduction on increasing the steps/day from 0 to 10000 is less than the risk
reduction on increasing the steps/day from 10000 to 20000.
(B) The risk reduction on increasing the steps/day from 0 to 5000 is less than the risk
reduction on increasing the steps/day from 15000 to 20000.
(C) For any 5000 increment in steps/day the largest risk reduction occurs on going from
0 to 5000.
(D) For any 5000 increment in steps/day the largest risk reduction occurs on going from
15000 to 20000.
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Civil Engineering Set 2 (CE2)
Q.9 Five cubes of identical size and another smaller cube are assembled as shown in
Figure A. If viewed from direction X, the planar image of the assembly appears as
Figure B.
Figure A Figure B
If viewed from direction Y, the planar image of the assembly (Figure A) will
appear as
(A)
(B)
(C)
(D)
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Civil Engineering Set 2 (CE2)
Q.10 Visualize a cube that is held with one of the four body diagonals aligned to the
vertical axis. Rotate the cube about this axis such that its view remains unchanged.
The magnitude of the minimum angle of rotation is
(A) 120°
(B) 60°
(C) 90°
(D) 180°
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Civil Engineering Set 2 (CE2)
Q.11 – Q.35 Carry ONE mark Each
Q.11 A partial differential equation
∂2 T ∂2 T
+ =0
∂x 2 ∂y 2
is defined for the two-dimensional field T: T(x, y), inside a planar square domain
of size 2 m × 2 m. Three boundary edges of the square domain are maintained at
value T = 50, whereas the fourth boundary edge is maintained at
T = 100.
The value of T at the center of the domain is
(A) 50.0
(B) 62.5
(C) 75.0
(D) 87.5
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Civil Engineering Set 2 (CE2)
Q.12 The statements P and Q are related to matrices A and B, which are conformable for
both addition and multiplication.
P: (A + B)T = AT + B T
Q: (AB)T = AT B T
Which one of the following options is CORRECT?
(A) P is TRUE and Q is FALSE
(B) Both P and Q are TRUE
(C) P is FALSE and Q is TRUE
(D) Both P and Q are FALSE
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Civil Engineering Set 2 (CE2)
Q.13 The second derivative of a function f is computed using the fourth-order Central
Divided Difference method with a step length ℎ.
The CORRECT expression for the second derivative is
(A) 1
[−fi+2 + 16 fi+1 − 30 fi + 16 fi−1 − fi−2 ]
12ℎ2
(B) 1
[ f + 16 fi+1 − 30 fi + 16 fi−1 − fi−2 ]
12ℎ2 i+2
(C) 1
[−fi+2 + 16 fi+1 − 30 fi + 16 fi−1 + fi−2 ]
12ℎ2
(D) 1
[−fi+2 − 16 fi+1 + 30 fi − 16 fi−1 − fi−2 ]
12ℎ2
Q.14 The function f(x) = x 3 − 27x + 4 , 1 ≤ x ≤ 6 has
(A) Maxima point
(B) Minima point
(C) Saddle point
(D) Inflection point
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Civil Engineering Set 2 (CE2)
Q.15 Consider two Ordinary Differential Equations (ODEs):
dy x 4 +3x 2 y 2 +2y 4
P: =
dx x3y
dy −y 2
Q: =
dx x2
Which one of the following options is CORRECT?
(A) P is a homogeneous ODE and Q is an exact ODE.
(B) P is a homogeneous ODE and Q is not an exact ODE.
(C) P is a nonhomogeneous ODE and Q is an exact ODE.
(D) P is a nonhomogeneous ODE and Q is not an exact ODE.
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Civil Engineering Set 2 (CE2)
Q.16 A 3 m long, horizontal, rigid, uniform beam PQ has negligible mass. The beam is
subjected to a 3 kN concentrated vertically downward force at 1 m from P, as shown
in the figure. The beam is resting on vertical linear springs at the ends P and Q. For
the spring at the end P, the spring constant K P = 100 kN/m.
(Figure NOT to scale)
If the beam DOES NOT rotate under the application of the force and displaces only
vertically, the value of the spring constant K Q (in kN/m) for the spring at the end Q
is
(A) 150
(B) 100
(C) 50
(D) 200
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Civil Engineering Set 2 (CE2)
Q.17 Consider the statements P and Q.
P: In a Pure project organization, the project manager maintains complete authority
and has maximum control over the project.
Q: A Matrix organization structure facilitates quick response to changes, conflicts,
and project needs.
Which one of the following options is CORRECT?
(A) Both P and Q are TRUE
(B) P is TRUE and Q is FALSE
(C) Both P and Q are FALSE
(D) P is FALSE and Q is TRUE
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Civil Engineering Set 2 (CE2)
Q.18 For a thin-walled section shown in the figure, points P, Q , and R are located on the
major bending axis X − X of the section. Point Q is located on the web whereas point
S is located at the intersection of the web and the top flange of the section.
(Figure NOT to scale)
Qualitatively, the shear center of the section lies at
(A) P
(B) Q
(C) R
(D) S
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Civil Engineering Set 2 (CE2)
Q.19 Consider the following data for a project of 300 days duration.
Budgeted Cost of Work Scheduled (BCWS) = Rs. 200
Budgeted Cost of Work Performed (BCWP) = Rs. 150
Actual Cost of Work Performed (ACWP) = Rs. 190
The ‘schedule variance’ for the project is
(A) (−)Rs. 50
(B) (−)50 days
(C) (+)Rs. 50
(D) (+)50 days
Q.20 A simply supported, uniformly loaded, two-way slab panel is torsionally
unrestrained. The effective span lengths along the short span (x) and long span (y)
directions of the panel are lx and ly , respectively. The design moments for the
reinforcements along the x and y directions are Mux and Muy , respectively. By using
Rankine-Grashoff method, the ratio Mux /Muy is proportional to
(A) lx /ly
(B) ly /lx
(C) 2
(lx /ly )
(D) 2
(ly /lx )
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Civil Engineering Set 2 (CE2)
Q.21 The structural design method that DOES NOT take into account the safety factors
on the design loads is
(A) working stress method.
(B) load factor method.
(C) ultimate load method.
(D) limit state method.
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Civil Engineering Set 2 (CE2)
Q.22 The contact pressure distribution shown in the figure belongs to a
Footing
(A) rigid footing resting on a cohesionless soil.
(B) rigid footing resting on a cohesive soil.
(C) flexible footing resting on a cohesionless soil.
(D) flexible footing resting on a cohesive soil.
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Civil Engineering Set 2 (CE2)
Q.23 Which one of the following saturated fine-grained soils can attain a negative
Skempton’s pore pressure coefficient (A)?
(A) Quick clays
(B) Normally-consolidated clays
(C) Lightly-consolidated clays
(D) Over-consolidated clays
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Civil Engineering Set 2 (CE2)
Q.24 The following figure shows a plot between shear stress and velocity gradient for
materials/fluids P, Q, R, S, and T.
Q
P
R
S
Shear Stress
T
Velocity Gradient
Which one of the following options is CORRECT?
(A) P → Ideal Fluid; Q → Ideal Bingham plastic
R → Non-Newtonian fluid; S → Newtonian fluid
(B) P → Real solid; Q → Ideal Bingham plastic
S → Newtonian fluid; T → Ideal Fluid
(C) P → Ideal Fluid; Q → Ideal Bingham plastic
R → Non-Newtonian fluid; T → Real solid
(D) P → Real solid; Q → Newtonian fluid
R → Ideal Bingham plastic; T → Ideal Fluid
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Civil Engineering Set 2 (CE2)
Q.25 What is the CORRECT match between the air pollutants and treatment techniques
given in the table?
Air pollutants Treatment techniques
P - NO2 i - Flaring
Q - SO2 ii - Cyclonic separator
R - CO iii - Lime scrubbing
S - Particles iv - NH3 injection
(A) P-i, Q-ii, R-iii, S-iv
(B) P-ii, Q-i, R-iv, S-iii
(C) P-ii, Q-iii, R-iv, S-i
(D) P-iv, Q-iii, R-i, S-ii
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Civil Engineering Set 2 (CE2)
Q.26 Which one of the following products is NOT obtained in anaerobic decomposition
of glucose?
(A) CO2
(B) CH4
(C) H2 S
(D) H2 O
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Civil Engineering Set 2 (CE2)
Q.27 The longitudinal sections of a runway have gradients as shown in the table.
End to end for sections of runway (m) Gradient (%)
0 to 200 +1.0
200 to 600 −1.0
600 to 1200 +0.8
1200 to 1600 +0.2
1600 to 2000 −0.5
Consider the reduced level (RL) at the starting point of the runway as 100 m.
The effective gradient of the runway is
(A) 0.02%
(B) 0.35%
(C) 0.28%
(D) 0.18%
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Civil Engineering Set 2 (CE2)
Q.28 In general, the outer edge is raised above the inner edge in horizontal curves for
(A) Highways, Railways, and Taxiways
(B) Highways and Railways only
(C) Railways and Taxiways only
(D) Highways only
Q.29 Various stresses in jointed plain concrete pavement with slab size of
3.5 m × 4.5 m are denoted as follows:
i
Wheel load stress at interior = Swl
e
Wheel load stress at edge = Swl
c
Wheel load stress at corner = Swl
Warping stress at interior = Sti
Warping stress at edge = Ste
Warping stress at corner = Stc
Frictional stress between slab and supporting layer = Sf
The critical stress combination in the concrete slab during a summer midnight is
c
(A) Swl + Stc
e
(B) Swl + Ste + Sf
e
(C) Swl + Ste − Sf
c
(D) Swl + Stc + Sf
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Civil Engineering Set 2 (CE2)
Q.30 For a reconnaissance survey, it is necessary to obtain vertical aerial photographs of
a terrain at an average scale of 1: 13000 using a camera. If the permissible flying
height is assumed as 3000 m above a datum and the average terrain elevation is
1050 m above the datum, the required focal length (in mm) of the camera is
(A) 100
(B) 150
(C) 125
(D) 200
Q.31 What is the CORRECT match between the survey instruments/parts of instruments
shown in the table and the operations carried out with them?
Instruments/Parts of instruments Operations
P - Bubble tube i - Tacheometry
Q - Plumb bob ii - Minor movements
R - Tangent screw iii - Centering
S - Stadia cross-wire iv - Levelling
(A) P-ii, Q-iii, R-iv, S-i
(B) P-iv, Q-iii, R-ii, S-i
(C) P-i, Q-iii, R-ii, S-iv
(D) P-iii, Q-iv, R-i, S-ii
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Civil Engineering Set 2 (CE2)
Q.32 To finalize the direction of a survey, four surveyors set up a theodolite at a station
P and performed all the temporary adjustments. From the station P, each of the
surveyors observed the bearing to a tower located at station Q with the same
instrument without shifting it. The bearings observed by the surveyors are
30o 30 00, 30o 29 40, 30o 30 20 and 30o 31 20. Assuming that
each measurement is taken with equal precision, the most probable value of the
bearing is
(A) 30o 29 40
(B) 30o 30 20
(C) 30o 30 00
(D) 30o 31 20
Q.33 The steel angle section shown in the figure has elastic section modulus of
150.92 cm3 about the horizontal X − X axis, which passes through the centroid of
the section.
(Figure NOT to scale)
The shape factor of the section is ________ (rounded off to 2 decimal places).
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Civil Engineering Set 2 (CE2)
Q.34 A reinforced concrete pile of 10 m length and 0.7 m diameter is embedded in a
saturated pure clay with unit cohesion of 50 kPa. If the adhesion factor is 0.5, the
net ultimate uplift pullout capacity (in kN) of the pile is _________________
(rounded off to the nearest integer).
Q.35 A 2 m wide rectangular channel is carrying a discharge of 30 m3/s at a bed slope of
1 in 300. Assuming the energy correction factor as 1.1 and acceleration due to
gravity as 10 m/s2, the critical depth of flow (in meters) is _____________ (rounded
off to 2 decimal places).
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Civil Engineering Set 2 (CE2)
Q.36 – Q.65 Carry TWO marks Each
Q.36 In a sample of 100 heart patients, each patient has 80% chance of having a heart
attack without medicine X. It is clinically known that medicine X reduces the
probability of having a heart attack by 50%. Medicine X is taken by 50 of these 100
patients. The probability that a randomly selected patient, out of the 100 patients,
takes medicine X and has a heart attack is
(A) 40%
(B) 60%
(C) 20%
(D) 30%
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Civil Engineering Set 2 (CE2)
Q.37 A linearly elastic beam of length 2l with flexural rigidity EI has negligible mass.
A massless spring with a spring constant k and a rigid block of mass m are attached
to the beam as shown in the figure.
k
l l
m
The natural frequency of this system is
(A)
kl 3 + 6EI
√
ml 3
(B)
kl 3 + 48EI
√
ml 3
(C)
6EIk
√ 3
(kl + 6EI)m
(D)
48EIk
√ 3
(kl + 48EI)m
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Civil Engineering Set 2 (CE2)
Q.38 A critical activity in a project is estimated to take 15 days to complete at a cost of Rs.
30,000. The activity can be expedited to complete in 12 days by spending a total
amount of Rs. 54,000. Consider the statements P and Q.
P: It is economically advisable to complete the activity early by crashing, if the
indirect cost of the project is Rs. 8,500 per day.
Q: It is economically advisable to complete the activity early by crashing, if the
indirect cost of the project is Rs. 10,000 per day.
Which one of the following options is CORRECT?
(A) Both P and Q are TRUE
(B) P is TRUE and Q is FALSE
(C) Both P and Q are FALSE
(D) P is FALSE and Q is TRUE
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Civil Engineering Set 2 (CE2)
Q.39 A homogeneous, prismatic, linearly elastic steel bar fixed at both the ends has a
slenderness ratio (l/r) of 105, where l is the bar length and r is the radius of gyration.
The coefficient of thermal expansion of steel is 12 × 10−6 /oC. Consider the effective
length of the steel bar as 0.5l and neglect the self-weight of the bar.
The differential increase in temperature (rounded off to the nearest integer) at which
the bar buckles is
(A) 298 oC
(B) 85 oC
(C) 400 oC
(D) 250 oC
Q.40 Consider the statements P and Q related to the analysis/design of retaining walls.
P: When a rough retaining wall moves toward the backfill, the wall friction
force/resistance mobilizes in upward direction along the wall.
Q: Most of the earth pressure theories calculate the earth pressure due to surcharge
by neglecting the actual distribution of stresses due to surcharge.
Which one of the following options is CORRECT?
(A) Both P and Q are TRUE
(B) P is TRUE and Q is FALSE
(C) Both P and Q are FALSE
(D) P is FALSE and Q is TRUE
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Civil Engineering Set 2 (CE2)
Q.41 A round-bottom triangular lined canal is to be laid at a slope of 1 in 1500, to carry
a discharge of 25 m3 /s. The side slopes of the canal cross-section are to be kept at
1.25H ∶ 1V. If Manning’s roughness coefficient is 0.013, the flow depth
(in meters) will be in the range of
(A) 2.39 to 2.42
(B) 1.94 to 1.97
(C) 2.24 to 2.27
(D) 2.61 to 2.64
Q.42 A hypothetical multimedia filter, consisting of anthracite particles (specific gravity:
1.50), silica sand (specific gravity: 2.60), and ilmenite sand (specific gravity: 4.20),
is to be designed for treating water/wastewater. After backwashing, the particles
should settle forming three layers: coarse anthracite particles at the top of the bed,
silica sand in the middle, and small ilmenite sand particles at the bottom of the bed.
Assume
(i) Slow discrete settling (Stoke’s law is applicable)
(ii) All particles are spherical
(iii) Diameter of silica sand particles is 0.20 mm
The CORRECT option fulfilling the diameter requirements for this filter media is
(A) diameter of anthracite particles is slightly less than 0.35 mm and diameter of ilmenite
particles is slightly greater than 0.141 mm.
(B) diameter of anthracite particles is slightly greater than 0.35 mm and diameter of
ilmenite particles is slightly less than 0.141 mm.
(C) diameter of anthracite particles is slightly less than 0.64 mm and diameter of ilmenite
particles is slightly less than 0.10 mm.
(D) diameter of anthracite particles is slightly greater than 0.64 mm and diameter of
ilmenite particles is slightly less than 0.10 mm.
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Civil Engineering Set 2 (CE2)
Q.43 The consolidated data of a spot speed study for a certain stretch of a highway is given
in the table.
Speed range Number of
(kmph) observations
0 - 10 7
10 - 20 31
20 - 30 76
30 - 40 129
40 - 50 104
50 - 60 78
60 - 70 29
70 - 80 24
80 - 90 13
90 - 100 9
The “upper speed limit” (in kmph) for the traffic sign is
(A) 50
(B) 55
(C) 65
(D) 70
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Civil Engineering Set 2 (CE2)
Q.44 Three vectors ⃗p, ⃗q, and r are given as
⃗p = î + ĵ + k̂
⃗q = î + 2ĵ + 3k̂
r = 2î + 3ĵ + 4k̂
Which of the following is/are CORRECT?
(A) ⃗p × (q ⃗ × ⃗q ) = ⃗0
⃗ × r ) + ⃗q × (r × ⃗p ) + r × (p
(B) ⃗p × (q
⃗ × r ) = (p
⃗ ⦁ r ) ⃗q − (p
⃗ ⦁ ⃗q ) r
(C) ⃗p × (q
⃗ × r ) = (p
⃗ × ⃗q ) × r
(D) r ⦁ (p
⃗ × ⃗q ) = (q
⃗ × ⃗p ) ⦁ r
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Civil Engineering Set 2 (CE2)
Q.45 Consider the statements P, Q , and R.
P: Compacted fine-grained soils with flocculated structure have isotropic
permeability.
Q: Phreatic surface/line is the line along which the pore water pressure is always
maximum.
R: The piping phenomenon occurring below the dam foundation is typically known
as blowout piping.
Which of the following option(s) is/are CORRECT?
(A) Both P and R are TRUE
(B) P is FALSE and Q is TRUE
(C) P is TRUE and R is FALSE
(D) Both Q and R are FALSE
Q.46 In the context of pavement material characterization, the CORRECT statement(s)
is/are
(A) The load penetration curve of CBR test may need origin correction due to the
non-vertical penetrating plunger of the loading machine.
(B) The toughness and hardness of road aggregates are determined by Los Angeles
abrasion test and aggregate impact test, respectively.
(C) Grading of normal (unmodified) bitumen binders is done based on viscosity test
results.
(D) In compacted bituminous mix, Voids in the Mineral Aggregate (VMA) is equal to
the sum of total volume of air voids (Vv ) and total volume of bitumen (Vb ).
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Civil Engineering Set 2 (CE2)
Q.47 The expression for computing the effective interest rate (i ) using continuous
eff
compounding for a nominal interest rate of 5% is
0.05 m
i = lim (1 + ) −1
eff m→∞ m
The effective interest rate (in percentage) is ____________
(rounded off to 2 decimal places).
Q.48 −1 0
2 1 4
Consider two matrices A = [ ] and B = [ 2 3].
1 0 3
1 4
The determinant of the matrix AB is __________(in integer).
Q.49 For the 6 m long horizontal cantilever beam PQR shown in the figure, Q is the mid-
point. Segment PQ of the beam has flexural rigidity EI = 2 × 105 kN. m2
whereas the segment QR has infinite flexural rigidity. Segment QR is subjected to
uniformly distributed, vertically downward load of 5 kN/m.
(Figure NOT to scale)
The magnitude of the vertical displacement (in mm) at point Q is ________ (rounded
off to 3 decimal places).
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Civil Engineering Set 2 (CE2)
Q.50 The horizontal beam PQRS shown in the figure has a fixed support at point P, an
internal hinge at point Q, and a pin support at point R. A concentrated vertically
downward load (V) of 10 kN can act at any point over the entire length of the beam.
(Figure NOT to scale)
The maximum magnitude of the moment reaction (in kN. m) that can act at the
support P due to V is ____________ (in integer).
Q.51 A concrete column section of size 300 mm × 500 mm as shown in the figure is
subjected to both axial compression and bending along the major axis. The depth of
the neutral axis (xu) is 1.1 times the depth of the column, as shown.
B = 300 mm
c
xu = 1.1D
D = 500 mm
Column section Strain distribution
(Figure NOT to scale)
The maximum compressive strain (c) at highly compressive extreme fiber in
concrete, where there is no tension in the section, is ______________×10−3
(rounded off to 2 decimal places).
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Civil Engineering Set 2 (CE2)
Q.52 The table shows the activities and their durations and dependencies in a project.
Activity Duration (Days) Depends on
A 8 -
B 4 A
C 4 B
D 4 C, L
F 4 A
G 4 F
H 6 G, L
K 10 A
L 6 F, K
The total duration (in days) of the project is___________ (in integer).
Q.53 A homogeneous earth dam has a maximum water head difference of 15 m between
the upstream and downstream sides. A flownet was drawn with the number of
potential drops as 10 and the average length of the element as 3 m. Specific gravity
of the soil is 2.65. For a factor of safety of 2.0 against piping failure, void ratio of
the soil is ______________ (rounded off to 2 decimal places).
Q.54 The in-situ percentage of voids of a sand deposit is 50%. The maximum and
minimum densities of sand determined from the laboratory tests are 1.8 g/cm3 and
1.3 g/cm3, respectively. Assume the specific gravity of sand as 2.7.
The relative density index of the in-situ sand is ______________ (rounded off to 2
decimal places).
Q.55 A drained triaxial test was conducted on a saturated sand specimen using a
stress-path triaxial testing system. The specimen failed when the axial stress reached
a value of 100 kN/m2 from an initial confining pressure of 300 kN/m2.
The angle of shearing plane (in degrees) with respect to horizontal is
________________ (rounded off to the nearest integer).
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Organizing Institute: IISc Bengaluru
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Civil Engineering Set 2 (CE2)
Q.56 A storm with a recorded precipitation of 11.0 cm, as shown in the table, produced a
direct run-off of 6.0 cm.
Time from
1 2 3 4 5 6 7 8
start (hours)
Recorded
cumulative
0.5 1.5 3.1 5.5 7.3 8.9 10.2 11.0
precipitation
(cm)
The ∅-index of this storm is ____________ cm/hr (rounded off to 2 decimal places).
Q.57 A 500 m long water distribution pipeline P with diameter 1.0 m, is used to convey
0.1 m3 /s of flow. A new pipeline Q, with the same length and flow rate, is to replace
P. The friction factors for P and Q are 0.04 and 0.01, respectively. The diameter of
the pipeline Q (in meters) is ______________ (rounded off to 2 decimal places).
Q.58 A 2 m × 1.5 m tank of 6 m height is provided with a 100 mm diameter orifice at the
center of its base. The orifice is plugged and the tank is filled up to 5 m height.
Consider the average value of discharge coefficient as 0.6 and acceleration due to
gravity (g) as 10 m/s2. After unplugging the orifice, the time (in seconds) taken for
the water level to drop from 5 m to 3.5 m under free discharge condition is
____________ (rounded off to 2 decimal places).
Q.59 A rectangular channel is 4.0 m wide and carries a discharge of 2.0 m3/s with a depth
of 0.4 m. The channel transitions to a maximum width contraction at a downstream
location, without influencing the upstream flow conditions. The width (in meters) at
the maximum contraction is ________________ (rounded off to 2 decimal places).
Q.60 A circular settling tank is to be designed for primary treatment of sewage at a flow
rate of 10 million liters/day. Assume a detention period of 2.0 hours and surface
loading rate of 40000 liters/m2 /day. The height (in meters) of the water column in
the tank is _______________ (rounded off to 2 decimal places).
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Organizing Institute: IISc Bengaluru
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Civil Engineering Set 2 (CE2)
Q.61 An organic waste is represented as C240O200H180N5S.
(Atomic weights: S-32, H-1, C-12, O-16, N-14).
Assume complete conversion of S to SO2 while burning.
SO2 generated (in grams) per kg of this waste is ___________
(rounded off to 1 decimal place).
Q.62 A horizontal curve of radius 1080 m (with transition curves on either side) in a Broad
Gauge railway track is designed and constructed for an equilibrium speed of
70 kmph. However, a few years after construction, the Railway Authorities decided
to run express trains on this track. The maximum allowable cant deficiency is
10 cm.
The maximum restricted speed (in kmph) of the express trains running on this track
is _______________ (rounded off to the nearest integer).
Q.63 A vertical summit curve on a freight corridor is formed at the intersection of two
gradients, +3.0% and –5.0%.
Assume the following:
Only large-sized trucks are allowed on this corridor
Design speed = 80 kmph
Eye height of truck drivers above the road surface = 2.30 m
Height of object above the road surface for which trucks need to stop = 0.35 m
Total reaction time of the truck drivers = 2.0 s
Coefficient of longitudinal friction of the road = 0.36
Stopping sight distance gets compensated on the gradient
The design length of the summit curve (in meters) to accommodate the stopping sight
distance is __________ (rounded off to 2 decimal places).
Q.64 A child walks on a level surface from point P to point Q at a bearing of 30o , from
point Q to point R at a bearing of 90o and then directly returns to the starting point P
at a bearing of 240o . The straight-line paths PQ and QR are 4 m each. Assuming that
all bearings are measured from the magnetic north in degrees, the straight-line path
length RP (in meters) is _________________ (rounded off to the nearest integer).
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Organizing Institute: IISc Bengaluru
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Civil Engineering Set 2 (CE2)
Q.65 Differential levelling is carried out from point P (BM: +200.000 m) to point R.
The readings taken are given in the table.
Staff readings (m)
Points Remarks
Back Sight Fore Sight
P (−)2.050 BM: +200.000 m
Q 1.050 0.950 Q is a change point
R (−)1.655
Reduced Level (in meters) of the point R is _____ (rounded off to 3 decimal places).
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Organizing Institute: IISc Bengaluru
Text of page 1
Civil Engineering (CE2)
Final Answer Key
Question
Q. No. Session Section Key/Range Mark
Type
1 4 MCQ GA A 1
2 4 MCQ GA B 1
3 4 MCQ GA D 1
4 4 MCQ GA A 1
5 4 MCQ GA B 1
6 4 MCQ GA D 2
7 4 MCQ GA B 2
8 4 MCQ GA C 2
9 4 MCQ GA A 2
10 4 MCQ GA A 2
11 4 MCQ CE-2 B 1
12 4 MCQ CE-2 A 1
13 4 MCQ CE-2 A 1
14 4 MCQ CE-2 B 1
15 4 MCQ CE-2 B 1
16 4 MCQ CE-2 C 1
17 4 MCQ CE-2 A 1
18 4 MCQ CE-2 C 1
19 4 MCQ CE-2 A 1
20 4 MCQ CE-2 D 1
21 4 MCQ CE-2 A 1
22 4 MCQ CE-2 B 1
23 4 MCQ CE-2 D 1
24 4 MCQ CE-2 B 1
25 4 MCQ CE-2 D 1
26 4 MCQ CE-2 C 1
27 4 MCQ CE-2 C 1
28 4 MCQ CE-2 B 1
29 4 MCQ CE-2 A 1
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Text of page 2
30 4 MCQ CE-2 B 1
31 4 MCQ CE-2 B 1
32 4 MCQ CE-2 B 1
33 4 NAT CE-2 1.75 to 1.85 1
34 4 NAT CE-2 545 to 555 1
35 4 NAT CE-2 2.88 to 2.94 1
36 4 MCQ CE-2 C 2
37 4 MCQ CE-2 A 2
38 4 MCQ CE-2 MTA 2
39 4 MCQ CE-2 A 2
40 4 MCQ CE-2 D 2
41 4 MCQ CE-2 A 2
42 4 MCQ CE-2 A 2
43 4 MCQ CE-2 B 2
44 4 MSQ CE-2 A;B;D 2
45 4 MSQ CE-2 C;D 2
46 4 MSQ CE-2 A;C;D OR A;C 2
47 4 NAT CE-2 5.11 to 5.15 2
48 4 NAT CE-2 10 to 10 2
49 4 NAT CE-2 1.176 to 1.186 2
50 4 NAT CE-2 150 to 150 2
51 4 NAT CE-2 3.20 to 3.40 2
52 4 NAT CE-2 30 to 30 2
53 4 NAT CE-2 0.63 to 0.67 2
54 4 NAT CE-2 0.12 to 0.14 OR 12 to 14 2
55 4 NAT CE-2 30 to 30 2
56 4 NAT CE-2 0.64 to 0.65 2
57 4 NAT CE-2 0.70 to 0.80 2
58 4 NAT CE-2 102.00 to 106.00 2
59 4 NAT CE-2 3.30 to 3.70 2
60 4 NAT CE-2 3.00 to 3.40 2
61 4 NAT CE-2 9.9 to 10.2 2
62 4 NAT CE-2 112 to 116 2
63 4 NAT CE-2 117.00 to 120.00 2
64 4 NAT CE-2 6 to 8 2
65 4 NAT CE-2 199.704 to 199.706 2
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Source: GATE. Question paper published by GATE.