GATE 2027 Sample Paper (Civil - CE)

SAMPLE PAPER

S A M P L E Q U E S T I O N P A P E R

GATE 2027 (Civil - CE)
Modelled on the actual exam pattern
.

QUESTIONS MAX MARKS TIME

65 100 180 Min

GENERAL INSTRUCTIONS

1. This paper contains 65 multiple-choice questions. All questions are compulsory.

2. Each question has four options — (A), (B), (C) and (D) — of which only one is correct.

3. Each correct answer carries 1 or 2 marks (varies by question); for a multiple-choice question, one-third (1-mark
question) or two-thirds (2-mark question) of the allotted marks is deducted for a wrong answer; numerical-answer-type
questions carry no negative marking.

4. Total time allowed is 180 minutes. Manage your time across all sections.

5. Use of calculators, mobile phones or any electronic device is not permitted.

6. Attempt the paper first, then check your answers against the Answer Key at the end.

Candidate Name: Roll No.: Date:

SAMPLE PAPER

GATE 2027 (Civil - CE)
SAMPLE QUESTION PAPER

Questions 65 Max Marks 100 Time 180 Min

Attempt all questions. Choose the one correct option for each.

GENERAL APTITUDE

1. Given two sets X = {1, 2, 3} and Y = {2, 3, 4}, we 2. When he did not come home, she _________ him lying
construct a set Z Of all possible fractions where the dead on the roadside somewhere.
numerators belong to set X and the denominators belong
(A) concluded
to set Y. The product Of elements having minimum and
(B) looked
maximum values in the set Z is
(C) notice
(A) 1/12
(D) pictured
(B) 1/8

(C) 1/6

(D) 3/8

3. An award-winning study by a group Of researchers 4. The ratio Of the number Of boys and girls who
suggests that men are as prone to buying on impulse as participated in an examination is 4:3. The total
women but women feel more guilty about shopping. percentage Of candidates who passed the examination is
Which one Of the following statements can be inferred 80 and the percentage Of girls who passed is 90. The
from the given text? percentage Of boys who passed is __________ .

(A) Some men and women indulge in buying on impulse (A) 55.50

(B) All men and women indulge in buying on impulse (B) 72.50

(C) Few men and women indulge in buying on impulse (C) 80.50

(D) Many men and women indulge in buying on impulse (D) 90.00

5. Mola is a digital platform for taxis in a city. It Offers 6. Ten friends planned to share equally the cost Of
three types of rides — Pool, Mini and Prime. The Table buying a gift for their teacher. When two Of them
below presents the number of rides for the past four decided not to contribute, each Of the Other friends had
months. The platform earns one US dollar per ride. What to pay Rs 150 more. The cost of the gift was Rs. _______ .
is the percentage share of revenue contributed by Prime
(A) 666
to the total revenues of Mola, for the entire duration?
(B) 3000
(A) 16.24
(C) 6000
(B) 23.97
(D) 12000
(C) 25.86

(D) 38.74

7. Two pipes P and Q can fill a tank in 6 hours and 9 8. If E = 10; J = 20; O = 30; and T = 40, what will P + E +
hours respectively, while a third pipe R can empty the S + T?
tank in 12 hours. Initially, P and R are open for 4 hours.
(A) 51
Then P is closed and Q is opened. After 6 more hours R is
(B) 82
closed. The total time taken to fill the tank (in hours) is
________. (C) 120

(D) 164
(A) 13.50

(B) 14.50

(C) 15.50

(D) 16.50

9. In a press meet on the recent scam, the minister said, 10. M and N had four children P, Q, R and S. Of them,
"The buck stops here". What did the minister convey by only P and R were married. They had children X and Y
the statement? respectively. If Y is a legitimate child Of W, which one Of
the following statements is necessarily FALSE?
(A) He wants all the money

(B) He will return the money (A) M is the grandmother Of Y

(C) He will assume final responsibility (B) R is the father of Y

(D) He will resist all enquiries (C) W is the wife of R

(D) W is the wife of P

CIVIL ENGINEERING

11. The figure shows a simply supported beam PQ of 12. The solution of the equation dQ/dt + Q = 1 with Q = 0
uniform flexural rigidity EI carrying two moments M and at t = 0 is
2M. The slope at P will be
(A) Q( t) = e-t - 1
(A) 0 (B) Q( t) = 1 + e-t
(B) ML/(9EI) (C) Q( t) = 1 - et
(C) ML/(6EI) (D) Q( t) = 1 - e-t
(D) ML/(3EI)

13. A dowel bar is placed at a contraction joint. When 14. The value of √9 x2+2020x+7 is
x arrow ∞
contraction occurs, the concrete slab cracks at
(A) 7/9
predetermined location(s). Identify the arrangement,
(B) 1
which shows the correct placement of dowel bar and the
place of occurrence of the contraction crack(s). (C) 3

(D) indeterminable
(A)

(B)

(C)

(D)

15. Two prismatic beams having the same flexural 16.  Which one of the following matrices is singular?
rigidity of 1000 kN-m2 are shown in the figures. If the
(A)
mid-span deflections of these beams are denoted by δ1
(B)
and δ2 (as indicated in the figures). the correct option is
(C)
(A) δ1 = δ2
(D)
(B) δ1 δ2

(C) δ1 > δ2

(D) δ1 >> δ2

17. A traffic survey conducted on a road yields an average daily traffic count of 5000 vehicles. The axle load
distribution on the same road is given in the following table:

Axle load (tonnes) Frequency of traffic (%)

18 10

14 20

10 35

8 15

6 20

The design period of the road is 15 years, the yearly traffic growth rate is 7.5% and the load safety factor (LSF) is 1.3.
If the vehicle damage factor (VDF) is calculated from the above data, the design traffic (in million standard axle load,
MSA) is ____________

(A) 307 to 310

(B) 309 to 311

(C) 311 to 309

(D) 307 to 305

18. At the point �� = 0, the function ��(��) = ��³ has 19. A 1 m wide rectangular channel has a bed slope of
0.0016 and the Manning's roughness coefficient is 0.04.
(A) local maximum
Uniform flow takes place in the channel at a flow depth of
(B) local minimum
0.5 m. At a particular section gradually varied flow ( GVF)
(C) both local maximum and minimum is observed and the flow depth is measured as 0.6 m. The
(D) neither local maximum nor local minimum GVF profile at that section is classified as

(A) S
1
(B) S
2
(C) M
1
(D) M
3

20. For a saturated cohesive soil, a triaxial test yields the 21. The wastewater from a city. containing a high
angle of internal friction (φ) as zero. The conducted test concentration of biodegradable organics, is being
is steadily discharged into a flowing river at a location S. If
the rate of aeration of the river water is lower than the
(A) Consolidated Drained (CD) test
rate of degradation of the organics. then the dissolved
(B) Consolidated Undrained (CU) test
oxygen of the river water
(C) Unconfined Compression (UC) test
(A) is lowest at the location S.
(D) Unconsolidated Undrained (UU) test
(B) is lowest at a point upstream of the location S.

(C) remains constant all along the length of the river.

(D) is lowest at a point downstream of the location S.

22. Let the characteristic strength be defined as that 23. The amount of CO generated (in kg) while
2
value, below which not more than 50% of the results are completely oxidizing one kg of CH to the end products is
4
expected to fall. Assuming a standard deviation of 4 MPa, ____________
the target mean strength (in MPa) to be considered in
(A) 2.7 to 2.8
the mix design of a M25 concrete would be
(B) 2.8 to 2.9
(A) 18.42
(C) 2.9 to 2.8
(B) 21.00
(D) 2.8 to 2.7
(C) 25.00

(D) 31.58

24. A 10 m high slope of dry clay soil (unit weight = 20 25. In a material under a state of plane strain, a 10 x 10
kN/m3), with a slope angle of 45° and the circular slip mm square centered at a point gets deformed as shown
surface, is shown in the figure (not drawn to the scale). in the figure. If the shear strain γxy at this point is
The weight of the slip wedge is denoted by W. undrained expressed as 0.001k (in rad), the value of k is
unit cohesion (c ) is 60 kPa. The factor of safety of the
u (A) 0.50
slope against slip failure, is
(B) 0.25
(A) 1 .84
(C) -0.25
(B) 1.57
(D) -0.50
(C) 0.58

(D) 1.67

26. A rapid sand filter comprising a number of filter beds 27. Consider a two-dimensional flow through isotropic
is required to produce 99 MLD of potable water. Consider soil along x direction and z direction. If h is the hydraulic
water loss during backwashing as 5%, rate of filtration as head, the Laplace’s equation of continuity is expressed
6.0 m/h and length to width ratio of filter bed as 1.35. as
The width of each filter bed is to be kept equal to 5.2 m.
(A) (∂ h)/(∂ x)+(∂ h)/(∂ z)=0
One additional filter bed is to be provided to take care of
(B) (∂ h)/(∂ x)+(∂ h)/(∂ x) (∂ h)/(∂ z)+(∂ h)/(∂ z)=0
break-down, repair and maintenance. The total number of
filter beds required will be (C) ∂2 h∂ x2+∂2 h∂ z2=0

(D) ∂2 h∂ x2+∂2 h∂ x ∂ z+∂2 h∂ z2=0
(A) 19

(B) 20

(C) 21

(D) 22

28. Group I lists the type of gain or loss of strength in 29. Given that the scope of the construction work is well-
soils. Group II lists the property or responsible for the defined with all its drawings, specifications, quantities
loss or gain of strength in soils. The correct match and estimates, which one of the following types of
between Group I and Group II is contract would be most preferred?

(A) P-4, Q-1, R-2, S-3 (A) EPC contract

(B) P-3, Q-1, R-2, S-4 (B) Percentage rate contract

(C) P-3, Q-2, R-1, S-4 (C) Item rate contract

(D) P-4, Q-2, R-1, S-3 (D) Lump sum contract

30. A well-designed signalized intersection is one in 31. An ordinary differential equation is given below 6 d2
which the yd x2+(d y)/(d x)-y=0 The general solution of the above
equation (with constants C and C ), is
(A) crossing conflicts are increased 1 2

(B) total delay is minimized (A) y(x)= C e-(x)/(3)+C e(x)/(2)
1 2

(C) cycle time is equal to the sum of red and green times in (B) y(x)= C e(x)/(3)+C e-(x)/(2)
1 2
all phases (C) y(x)= C x e-(x)/(3)+C e(x)/(2)
1 2
(D) cycle time is equal to the sum of red and yellow times in (D) y(x)= C e-(x)/(3) +C x e(x)/(2)
1 2
all phases

32. A catchment may be idealised as a rectangle. There 33.  Euclidean norm (length) of the vector [arraylll4 & -2
are three rain gauges located inside the catchment at & -6array]T is
arbitrary locations. The average precipitation over the
(A) √12
catchment is estimated by two methods: (i) Arithmetic
(B) √24
mean P , and (ii) Thiessen polygon P . Which one of the
A T
following statements is correct? (C) √48

(D) √56
(A) P is always smaller than P
A T
(B) P is always greater than P
A T
(C) P is always equal to P
A T
(D) There is no definite relationship between P and P
A T

35. With reference to the conventional Cartesian (x, y)
coordinate system, the vertices of a triangle have the
following coordinates: (x , y ) = (1, 0); (x , y ) = (2, 2);
1 1 2 2
34.
and (x , y ) = (4, 3). The area of the triangle is equal to
3 3

(A) 3/2
(A) 7.6 to 7.9
(B) 3/4
(B) 7.6 to 8.0
(C) 4/5
(C) 7.9 to 8.0
(D) 5/2
(D) 8.0 to 8.1

36. In reservoirs with an uncontrolled spillway, the peak 37. During chlorination process, aqueous (aq) chlorine
of the plotted outflow hydrograph reacts rapidly with water to form Cl-, HOCI, and H+ as
shown below Cl2 (aq) + H2O ⇄ HOCl + Cl- + H+ The most
(A) lies outside the plotted inflow hydrograph
active disinfectant in the chlorination process from
(B) lies on the recession limb of the plotted inflow
amongst the following is
hydrograph
(A) H+
(C) lies on the peak of the inflow hydrograph
(B) HOCl
(D) is higher than the peak of the plotted inflow hydrograph
(C) Cl-

(D) H2O

38. A given cohesionless soil has e = 0.85 and e = 39. The reaction rate involving reactants A and B is gilen
max min
0.50. In the field, the soil is compacted to a mass density by -k[A]α[B]β. Which one of the following statements is
of 1800 kg/m3 at a water content of 8%. Take the mass valid for the reaction to be a first-order reaction?
density of water as 1000 kg/m3 and G as 2.7. The
s (A) α=0 and β=0
relative density (in %) of the soil is
(B) α=1 and β=0
(A) 56.43
(C) α=1 and β=1
(B) 60.25
(D) α=1 and β=2
(C) 62.87

(D) 65.71

40. The degree of static indeterminacy of a rigid jointed 41. A rectangular beam of width (b) 230 mm and effective
frame PQR supported as shown in the figure is depth (d) 450 mm is reinforced with four bars of 12 mm
diameter. The grade of concrete is M20 and grade of
steel is Fe500. Given that for M20 grade of concrete the
ultimate shear strength, τ = 0.36 N/mm,2 for steel
uc
percentage, p = 0.25, and τ = 0.48 N/mm2 for p = 0.50.
uc
For a factored shear force of 45 kN, the diameter (in mm)
of Fe500 steel two legged stirrups to be used at spacing
of 375 mm, should be

(A) 8
(A) zero
(B) 10
(B) one
(C) 12
(C) two
(D) 16
(D) unstable

42. The critical bending compressive stress in the 43. A simply supported beam is subjected to a uniformly
extreme fibre of a structural steel section is 1000 MPa. It distributed load. Which one of the following statements
is given that the yield strength of the steel is 250 MPa, is true?
width of flange is 250 mm and thickness of flange is 15
(A) Maximum or minimum shear force occurs where the
mm. As per the provisions of IS:800-2007, the non-
curvature is zero.
dimensional slenderness ratio of the steel cross-section
(B) Maximum or minimum bending moment occurs where
is
the shear force is zero.
(A) 0.25
(C) Maximum or minimum bending moment occurs where
(B) 0.50 the curvature is zero.
(C) 0.75 (D) Maximum bending moment and maximum shear force
(D) 2.00 occur at the same section.

44. Consider the following definite integral: I = 01∫ (sin- 45. A 4x4 matrix [P] is given below [P]=[arraycccc 0 & 1
1 x)2 / √1 - x2 dx The value of the integral is & 3 & 0 \\ -2 & 3 & 0 & 4 \\ 0 & 0 & 6 & 1 \\ 0 & 0 & 1 & 6
array] The eigenvalues of [P] are
(A) π3/24

(B) π3/12 (A) 0,3,6,6

(C) π3/48 (B) 1,2,3,4,

(D) π3/64 (C) 3,4,5,7

(D) 1,2,5,7

46. The flow net constructed for the dam is shown in the 47. Let w = f(x,y), where x and y are functions of t. Then
figure below. Taking the coefficient of permeability as according to the chain rule dw/dt is equal to
3.8×10−6 m/s, the quantity of flow (in cm3/s) under the
(A) dw/dx x dx/dt + dw/dy x dt/dt
dam per meter of dam is
(B) ∂w/∂x x ∂x/∂t + ∂w/∂y x ∂y/∂t

(C) ∂w/∂x x dx/dt + ∂w/∂y x dy/dt

(D) dw/dx x ∂x/∂t + dw/dy x ∂y/∂t

(A) 7.10 to 7.85

(B) 7.20 to 7.89

(C) 7.10 to 7.83

(D) 7.40 to 7.90

48. The tension and shear force (both in kN) in each bolt 49. A traffic office imposes on an average 5 number of
of the joint, as shown below, respectively are penalties daily on traffic violators. Assume that the
number of penalties on different days is independent and
follows a Poisson distribution. The probability that there
will be less than 4 penalties in a day is ___________

(A) 0.26 to 0.25

(B) 0.27 to 0.29

(C) 0.29 to 25

(D) 0.26 to 0.27
(A) 30.33 and 20.00

(B) 30.33 and 25.00

(C) 33.33 and 20.00

(D) 33.33 and 25.00

50. A theodolite was set up at a station P. The angle of 51. The graph of a function f(x) is shown in the figure.
depression to a vane 2 m above the foot of a staff held at For f(x) to be a valid probability density function, the
another station Q was 45°. The horizontal distance value of h is
between stations P and Q is 20 m. The staff reading at a
(A) 1/3
benchmark S of RL 433.050 m is 2.905 m. Neglecting the
(B) 2/3
errors due to curvature and refraction, the RL of the
station Q (in m), is (C) 1

(D) 3
(A) 413.050

(B) 413.955

(C) 431.050

(D) 435.955

52. A flexible pavement has the following class of loads 53. Dupuit’s assumptions are valid for
during a particular hour of the day. i. 80 buses with 2-
(A) artesian aquifer
axles (each axle load of 40 kN); ii. 160 trucks with 2-axles
(B) confined aquifer
(front and rear axle loads of 40 kN and 80 kN,
respectively) The equivalent standard axle load (C) leaky aquifer

repetitions for this vehicle combination as per IRC:37- (D) unconfined aquifer
2012 would be

(A) 180

(B) 240

(C) 250

(D) 320

54. A flownet below a dam consists of 24 equipotential 55.  The matrix P is the inverse of a matrix Q. If I denote
drops and 7 flow channels. The difference between the the identity matrix. which one of the following options is
upstream and downstream water levels is 6 m. The correct?
length of the flow line adjacent to the toe of the dam at
(A) PQ = I but QP ≠ I
exit is 1 m. The specific gravity and void ratio of the soil
(B) QP = I but PQ ≠ I
below the dam are 2.70 and 0.70, respectively. The factor
of safety against piping is (C) PQ = I and QP = I

(D) PQ - QP = I
(A) 1.67

(B) 2.5

(C) 3.4

(D) 4

56. The Los Angeles test for stone aggregates is used to 57. A solid circular beam with radius of 0.25 m and
examine length of 2 m is subjected to a twisting moment of 20
kNm about the z-axis at the free end, which is the only
(A) abrasion resistance
load acting as shown in the figure. The shear stress
(B) crushing strength
component τ at Point ‘M’ in the cross-section of the
xy
(C) soundness beam at a distance of 1 m from the fixed end is
(D) specific gravity
(A) 0.0 MPa

(B) 0.51 MPa

(C) 0.815 MPa

(D) 2.0 MPa

58. Group I contains representative load-settlement curves for different modes of bearing capacity failures of sandy
soil. Group II enlists the various failure characteristics. Match the load-settlement curves with the corresponding

failure characteristics.

Group I Group II

P Curve J 1 No apparent heaving of soil around the footing

Q Curve K 2 Rankine’s passive zone develops imperfectly

R Curve L 3 Well defined slip surface extends to ground surface

(A) P - 1, Q - 3, R - 2

(B) P - 3, Q - 2, R - 1

(C) P - 3, Q - 1, R - 2

(D) P - 1, Q - 2, R - 3

59. An inflow hydrograph is routed through a reservoir 60. A structural member subjected to compression, has
to produce an outflow hydrograph. The peak flow of the both translation and rotation restrained at one end, while
inflow hydrograph is PI and the time of occurrence of the only translation is restrained at the other end. As per IS
peak is t . The peak flow of the outflow hydrograph is P 456 : 2000, the effective length factor recommended for
1 o
and the time of occurrence of the peak is tO. Which one design is
of the following statements is correct?
(A) 0.50
(A) P P and t t (B) 0.65
1 0 1 o
(B) P P and t > t (C) 0.70
1 o 1 o
(C) P > P and t t (D) 0.80
1 o 1 o
(D) P > P and t > t
1 o 1 o

61. The area of an ellipse represented by an equation x2 62. The deformation in concrete due to sustained loading
a2+y2b2=1 is is

(A) πab/4 (A) creep

(B) πab/2 (B) hydration

(C) πab (C) segregation

(D) 4πab/3 (D) shrinkage

63. A reinforcing steel bar, partially embedded in 64. A closed thin-walled tube has thickness, ��, mean
concrete, is subjected to a tensile force P. The figure that enclosed area within the boundary of the centerline of
appropriately represents the distribution of the tube’s thickness, A , and shear stress, ��. Torsional
m
magnitude of bond Stress (represented as hatched moment of resistance, T, of the section would be
region), along the embedded length of the bar, is
(A) 0.5�� A t
m
(A) (B) �� A t
m
(B) (C) 2�� A t
m
(C) (D) 4�� A t
m
(D)

65. Three soil specimens (Soil 1, Soil 2 and Soil 3), each
150 mm long and 100 mm diameter, are placed in series
in a constant head flow set-up as shown in the figure.
Suitable screens are provided at the boundaries of the
specimens to keep them intact. The values of coefficient
of permeability of Soil 1, Soil 2 and Soil 3 are 0.01, 0.003
and 0.03 cm/s, respectively. The value of h in the set-up
is

(A) 0 mm

(B) 40 mm

(C) 255 mm

(D) 560 mm

ANSWER KEY

1. (D) 2. (D) 3. (A) 4. (B) 5. (B) 6. (C) 7. (B)

8. (C) 9. (C) 10. (D) 11. (C) 12. (D) 13. (B) 14. (C)

15. (A) 16. (C) 17. (A) 18. (D) 19. (C) 20. (D) 21. (D)

22. (C) 23. (A) 24. (A) 25. (A) 26. (C) 27. (C) 28. (C)

29. (D) 30. (B) 31. (B) 32. (D) 33. (D) 34. (B) 35. (A)

36. (B) 37. (B) 38. (D) 39. (B) 40. (A) 41. (A) 42. (B)

43. (A) 44. (A) 45. (D) 46. (A) 47. (C) 48. (D) 49. (D)

50. (B) 51. (A) 52. (A) 53. (D) 54. (D) 55. (C) 56. (A)

57. (A) 58. (A) 59. (C) 60. (D) 61. (C) 62. (A) 63. (C)

64. (C) 65. (B)