GATE civil engineering Model question papers with answers

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This is the GATE civil engineering Model question papers with answers:

Q.14 Following statementsare made on compacted soils, wherein DS stands forthe soils compacted on
dry side of optimum moisture content and WS stands for thesoils compacted on wet side of
optimum moisture content. Identify the incorrect statement.
(A) Soil structure is flocculated onDS and dispersed on WS.
(B) Construction pore water pressure is low on DS and high on WS.
(C)On drying, shrinkage is high on DS and low on WS.
(D)On access to water, swelling is high on DS and low on WS.
Q.15 Four columns of a building are to be located within a plot size of 10 m x 10 m. The expected load
on each column is 4000 kN. Allowable bearing capacity of the soil deposit is 100 kN/m2. The type
of foundation best suited is
(A) isolated footing
(B) raft foundation
(C) pile foundation
(D)combined footing
Q.16 For subcritical flow in an open channel, the control section for gradually varied flow profiles is
(A) at the downstream end
(B) at the upstream end
(C) at both upstream and downstream ends
(D) at any intermediate section
Q.17 Group-I contains dimensionless parameters and Group- II contains the ratios.
Group-I
Group -II
P. Mach Number
1. Ratio of inertial force and gravitational force
Q. Reynolds Number
2. Ratio of fluid velocity and velocity of sound
R. Weber Number
3. Ratio of inertial force and viscous force
S. Froude Number
4. Ratio of inertial force and surface tension force
GATE civil engineering Model question papers with answer
General Instructions:
1. Total duration of examination is 180 minutes (3 hours).
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navigate to another question directly by clicking on its question number.
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6. Procedure for answering a multiple choice type question:
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answer is selected for a question that is Marked for Review, that answer will be considered
in the evaluation.
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point
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e. To mark the question for review, click on the Mark for Review and Next button. If an
answer is entered for a question that is Marked for Review, that answer will be considered
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considered for evaluation

Paper specific instructions:
1. There are a total of 65 questions carrying 100 marks. Questions are of multiple choice type or
numerical answer type. A multiple choice type question will have four choices for the answer with
only one correct choice. For numerical answer type questions, the answer is a number and no choices
will be given. A number as the answer should be entered using the virtual keyboard on the monitor.
2. Questions Q.1 – Q.25 carry 1mark each. Questions Q.26 – Q.55 carry 2marks each. The 2marks
questions include two pairs of common data questions and two pairs of linked answer questions. The
answer to the second question of the linked answer questions depends on the answer to the first
question of the pair. If the first question in the linked pair is wrongly answered or is not attempted,
then the answer to the second question in the pair will not be evaluated.
3. Questions Q.56 – Q.65 belong to General Aptitude (GA) section and carry a total of 15 marks.
Questions Q.56 – Q.60 carry 1mark each, and questions Q.61 – Q.65 carry 2marks each.
4. Questions not attempted will result in zero mark. Wrong answers for multiple choice type questions
will result in NEGATIVE marks. For all 1 mark questions, ⅓ mark will be deducted for each wrong
answer. For all 2 marks questions, ⅔ mark will be deducted for each wrong answer. However, in the
case of the linked answer question pair, there will be negative marks only for wrong answer to the
first question and no negative marks for wrong answer to the second question. There is no negative
marking for questions of numerical answer type.
5. Calculator is allowed. Charts, graph sheets or tables are NOT allowed in the examination hall.
6. Do the rough work in the Scribble Pad provided.

Q. 1 – Q. 25carries one mark each.
Q.1
There is no value of x that can simultaneously satisfy both the given equations.Therefore, find the
‘least squares error’ solution to the two equations, i.e., find the value of that minimizes the sum of
squares of the errors in the two equations. __________
2
3
4
1
Q.2
What is the minimum number of multiplications involved in computing the matrix product PQR?
Matrix has 4 rows and 2 columns, matrix has 2 rows and 4 columns, and matrixhas 4 rows and
1 column. __________
Q.3
A 1-h rainfall of 10 cm magnitude at a station has a return period of 50 years. The probability that
a 1-h rainfall of magnitude 10 cm or more will occur in each oftwo successive years is:
(A) 0.04
(B) 0.2
(C)0.02
(D) 0.0004
Q.4
Maximum possible value of Compacting Factor for fresh (green) concrete is:
(A) 0.5
(B) 1.0
(C) 1.5
(D) 2.0
Q.5
As per IS 800:2007, the cross-section in which the extreme fiber can reach the yield stress, but
cannot develop the plastic moment of resistance due to failure by local buckling is classified as
(A) plastic section
(B) compact section
(C) semi-compact section
(D) slender section
Q.6
The creep strains are
(A) caused due to dead loads only
(B) caused due to live loads only
(C) caused due to cyclic loads only
(D) independent of loads
Q.7
As per IS 456:2000 for M20 grade concrete and plain barsin tension the design bond stress
1.2 .Further, IS 456:2000 permits this design bond stress value to be increased by 60 %
for HSD bars. The stress in theHSDreinforcing steel barsin tension,
360 . Find the
required development length, , for HSD barsin terms of the bar diameter, . __________
Q.8
The ‘plane section remains plane’ assumption in bending theory implies:
(A) strain profile is linear
(B) stress profile is linear
(C) both strain and stress profiles are linear
(D)shear deformations are neglected

Q.9
Two steel columns P (length and yield strength
250
) and Q (length 2 and yield
strength
500 ) have the same cross-sections and end-conditions. The ratio of buckling
load of column P to that of column Q is:
(A) 0.5
(B) 1.0
(C) 2.0
(D) 4.0
Q.10 The pin-jointed 2-D truss is loaded with a horizontal force of 15
at joint S and another 15
vertical force at joint U, as shown.Find the force in member RS (in ) and report your answer
taking tension as positive and compression as negative. __________
Q.11 A symmetric I-section (with width of each flange 50
, thickness of each flange 10
,
depth of web = 100 mm, and thickness of web 10
) of steel is subjected to a shear force of
100 . Find the magnitude of the shear stress(in / in the web at its junction with the top
flange. __________
Q.12 In its natural condition, a soil sample has a mass of 1.980
and a volume of0.001 . After
being completely dried in an oven, the mass of the sample is 1.800
.Specific gravity is 2.7.
Unit weight of water is 10 / . The degree of saturation of the soil is:
(A) 0.65
(B) 0.70
(C) 0.54
(D) 0.61
Q.13
The ratio Nf/Nd is known as shape factor, where Nf is the number of flow lines and Nd is the
number of equipotential drops. Flow net is always drawn with a constant b/a ratio, where b and a
are distances between two consecutive flow lines and equipotential lines, respectively. Assuming
that b/a ratio remains the same, the shape factor of aflow net will change if the
(A) upstream and downstream heads are interchanged
(B) soil in the flow space is changed
(C) dimensions of the flow space are changed
(D) head difference causing the flow is changed

Q.14 Following statementsare made on compacted soils, wherein DS stands forthe soils compacted on
dry side of optimum moisture content and WS stands for thesoils compacted on wet side of
optimum moisture content. Identify the incorrect statement.
(A) Soil structure is flocculated onDS and dispersed on WS.
(B) Construction pore water pressure is low on DS and high on WS.
(C)On drying, shrinkage is high on DS and low on WS.
(D)On access to water, swelling is high on DS and low on WS.
Q.15 Four columns of a building are to be located within a plot size of 10 m x 10 m. The expected load
on each column is 4000 kN. Allowable bearing capacity of the soil deposit is 100 kN/m2. The type
of foundation best suited is
(A) isolated footing
(B) raft foundation
(C) pile foundation
(D)combined footing
Q.16 For subcritical flow in an open channel, the control section for gradually varied flow profiles is
(A) at the downstream end
(B) at the upstream end
(C) at both upstream and downstream ends
(D) at any intermediate section
Q.17 Group-I contains dimensionless parameters and Group- II contains the ratios.
Group-I
Group -II
P. Mach Number
1. Ratio of inertial force and gravitational force
Q. Reynolds Number
2. Ratio of fluid velocity and velocity of sound
R. Weber Number
3. Ratio of inertial force and viscous force
S. Froude Number
4. Ratio of inertial force and surface tension force
The correct match of dimensionless parameters in Group- I with ratios in Group-II is:
(A) P-3, Q-2, R-4, S-1
(B) P-3, Q-4, R-2, S-1
(C) P-2, Q-3, R-4, S-1
(D) P-1, Q-3, R-2, S-4
Q.18
For a two dimensional flow field, the stream function ψ is given as
(
)2
2
2
3
x
y -
=
ψ
. The
magnitude of discharge occurring between the stream lines passing through points (0,3) and (3,4)
is:
(A) 6
(B) 3
(C) 1.5
(D) 2
Q.19 An isohyet is a line joining points of
(A) equal temperature
(B) equal humidity
(C) equal rainfall depth
(D) equal evaporation

Q.20 Some of the water quality parameters are measured by titrating a water sample with a titrant.
Group-I gives a list of parameters and Group-IIgives the list of titrants.
Group-I
Group-II
P.Alkalinity
1. N/35.5 AgNO3
Q. Hardness
2. N/40 Na2S2O3
R. Chloride
3. N/50 H2SO4
S. Dissolved oxygen
4. N/50 EDTA
The correct match of water quality parameters in Group-I with titrants in Group-II is:
(A) P-1, Q-2, R-3, S-4
(B)P-3, Q-4, R-1, S-2
(C)P-2, Q-1, R-4, S-3
(D) P-4, Q-3, R-2, S-1
Q.21 A water treatment plant is designed to treat 1 m3/s of raw water. It has 14 sand filters. Surface area
of each filter is 50 m2. What is the loading rate (in
∙
) with two filters out of service for routine
backwashing? __________
Q.22 Selectthe strength parameter of concrete usedindesign of plain jointed cement concrete pavements
from the following choices:
(A) Tensile strength
(B) Compressive strength
(C) Flexural strength
(D) Shear strength
Q.23 It was observed that 150 vehicles crossed a particular location of a highway ina duration of 30
minutes. Assuming that vehicle arrival follows a negative exponential distribution, find out the
number of time headways greater than 5 seconds in the above observation? __________
Q.24 For two major roads with divided carriageway crossing at right angle,a full clover leaf interchange
with four indirect ramps is provided. Following statements are made on turning movements of
vehiclesto all directions from both roads. Identify the correct statement:
(A)
Merging from left is possible,butdiverging to left is notpossible.
(B)
Both merging from left and diverging to left arepossible.
(C)
Merging from left is not possible,butdiverging to left is possible.
(D)
Neithermergingfrom left nordivergingto leftispossible.
Q.25 The latitude and departure of a line AB are +78 m and -45.1 m, respectively. The whole circle
bearing of the line AB is:
(A) 30°
(B) 150°
(C) 210°
(D) 330

Q. 26 to Q. 55 carry two marks each.
Q.26 The state of 2D-stress at a point is given by the following matrix of stresses:
100 30
30
20
What is the magnitude of maximum shear stressin MPa?
(A) 50
(B) 75
(C) 100
(D) 110
Q.27 Find the magnitude of the error (correct to two decimal places) in the estimation of following
integral using Simpson’s
3
1
Rule. Take the step length as 1. __________
(
)
∫ +
4
0
4
10 dx
x
Q.28
The solution for ∫
6
0
3
4
6sin3cos
π
θ
θ
θ
d is:
(A) 0
(B)
15
1
(C) 1
(D)
3
8
Q.29 Find the value of λ such that the function )(
xf is a valid probability density function. __________
otherwise
x
for
x
x
xf
0
2
1
)
2)(1(
)(
=
≤
≤
-
-
= λ
Q.30 Laplace equation for water flow in soils is given below.
0
2
2
2
2
2
2
=
∂
∂
+
∂
∂
+
∂
∂
z
H
y
H
x
H
Head H does not vary in y and z directions.
Boundary conditions are: at x = 0, H = 5;and
1
-
=
dx
dH
.
What is the value of H at x = 1.2? __________

Q.31 All members in the rigid-jointed frame shown are prismatic and have the same flexural stiffness .
Find the magnitude of the bending moment at Q (in ) due to the given loading. __________
Q.32 A uniform beam
in the form of a quarter-circle of radius is fixed at end
and free at the end , where a load is applied as shown. The vertical downward displacement,
, at the loaded point is given by:
. Find the value of (correct to 4-decimal
places). __________
P
2 m
100 kNm
R
3 m
4 m
2 m
Q
S
T
P
Q
W
R
Q.33 A u
(in
CF
Q.34 Bea
mo
bea
just
(A
Q.35 A r
ten
giv
ben
can
dea
uniform beam
in segme
to be weigh
am ha
ving distribu
am. The ma
t to the right
A) 30
rectangular c
sile wires, e
ven section.
nding momen
n withstand w
ad load of be
5 m
P
m weighing 1
ent AB of thi
tless. ______
as internal hi
uted vertical
aximum abso
of support Q
(B
concrete beam
each of 7 mm
If the effec
nt (in )
without caus
am. _______
5 m
Q
1800 is su
is cable (corr
_____
inges in span
l load of ma
olute value o
Q shall be:
B) 40
m 250 w
m diameter,
tive pre-stre
(correct to 1
sing tensile s
____
Q
upported at E
rect to 1-dec
ns and
aximum inte
of the shear f
(
wide and 60
located at2
ess in the wi
1-decimal pla
stress at the
20 m
E and F by c
cimal place).
as shown
nsity 4
⁄
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C) 45
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from
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bottom face
able ABCD.
Assume the
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(
is pre-stresse
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, what is
live loadthat
of the beam
5 m
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