Machine-translated by Google. Questions are authored in English.
Top

GATE CE 2026: Civil Engineering Session 1

  • Shift: 1
  • Paper code: CE1
  • Language: English
  • 36 pages
GATE CE 2026 question paper, GATE 2026, Civil Engineering Session 1, page 1 of 36
Page 1 of 36
Text of page 1
Civil Engineering (CE1)




General Aptitude (GA)
Q.1 – Q.5 Carry ONE mark Each

 Q.1         ‘The shopkeeper sells lemons.’

             In this sentence, the word ‘lemons’ is the ________.




 (A)         object


 (B)         subject


 (C)         predicate


 (D)         verb




Organizing Institute: IIT Guwahati            Page 1 of 36
GATE CE 2026 question paper, GATE 2026, Civil Engineering Session 1, page 2 of 36
Page 2 of 36
Text of page 2
Civil Engineering (CE1)




 Q.2         The figure below is supposed to show three non-overlapping shapes – one oval
             and two triangles. Which one of the following figures P, Q, R, or S fits the
             missing portion indicated by ‘?’ and completes the oval and the two triangles?




                                     P                                    Q




                                     R                                    S




 (A)         P

 (B)         Q

 (C)         R

 (D)         S




Organizing Institute: IIT Guwahati          Page 2 of 36
GATE CE 2026 question paper, GATE 2026, Civil Engineering Session 1, page 3 of 36
Page 3 of 36
Text of page 3
Civil Engineering (CE1)




 Q.3         At how many points will the curves y = x 2 and y = −x 2 − 2x − 1 intersect in
             the real (x, y) plane?




 (A)         0


 (B)         1


 (C)         2


 (D)         3




Organizing Institute: IIT Guwahati          Page 3 of 36
GATE CE 2026 question paper, GATE 2026, Civil Engineering Session 1, page 4 of 36
Page 4 of 36
Text of page 4
Civil Engineering (CE1)




 Q.4         ‘If Anish had scored hundred runs in today’s match, he would have been made the
             captain of his team. He would have then become the youngest captain in his
             team’s history. Unfortunately, he got out without scoring any runs. Hence, there
             won’t be any change in the captaincy for now.’

             Based on the paragraph above, which one of the following statements is true?




 (A)         Anish made hundred runs but was denied captaincy.


 (B)         Anish was the captain of his team before the game today.


 (C)         The current captain is older than Anish.


 (D)         Anish is the youngest player in his team.




Organizing Institute: IIT Guwahati           Page 4 of 36
GATE CE 2026 question paper, GATE 2026, Civil Engineering Session 1, page 5 of 36
Page 5 of 36
Text of page 5
Civil Engineering (CE1)




 Q.5         Which one of the following figures P, Q, R, or S, correctly shows the 45°
             clockwise-rotated version of figure (I)?




                                                       (I)




                                     P                                    Q




                                     R                                    S




 (A)         P


 (B)         Q


 (C)         R


 (D)         S




Organizing Institute: IIT Guwahati           Page 5 of 36
GATE CE 2026 question paper, GATE 2026, Civil Engineering Session 1, page 6 of 36
Page 6 of 36
Text of page 6
Civil Engineering (CE1)




Q.6 – Q.10 Carry TWO marks Each

 Q.6         Match the words in Column I with their synonyms in Column II.

                                           Column I                      Column II
                                     (i) Lonely                      (p) Verbatim
                                     (ii) Literal                    (q) Solitary
                                     (iii) Lousy                     (r) Deadly
                                     (iv) Lethal                     (s) Terrible




 (A)         (i)-(q); (ii)-(p); (iii)-(s); (iv)-(r)


 (B)         (i)-(q); (ii)-(s); (iii)-(r); (iv)-(p)


 (C)         (i)-(s); (ii)-(p); (iii)-(q); (iv)-(r)


 (D)         (i)-(r); (ii)-(s); (iii)-(p); (iv)-(q)




Organizing Institute: IIT Guwahati                    Page 6 of 36
GATE CE 2026 question paper, GATE 2026, Civil Engineering Session 1, page 7 of 36
Page 7 of 36
Text of page 7
Civil Engineering (CE1)




 Q.7                              ̅̅̅̅ is the diameter of a circle with center O. Two points R
             In the given figure, PQ
             and S are chosen on the circle such that ∠ROS = 80°. When ̅̅̅̅   PR and ̅̅̅̅
                                                                                     QS are
             extended, they meet at T. The value of ∠RTS is _________________




 (A)         40°


 (B)         50°


 (C)         60°


 (D)         80°




Organizing Institute: IIT Guwahati            Page 7 of 36
GATE CE 2026 question paper, GATE 2026, Civil Engineering Session 1, page 8 of 36
Page 8 of 36
Text of page 8
Civil Engineering (CE1)




 Q.8         Based on the relationship between each polygon and the number inside it, the
             value of ‘X’ is ______




 (A)         720


 (B)         596


 (C)         24


 (D)         240




Organizing Institute: IIT Guwahati          Page 8 of 36
GATE CE 2026 question paper, GATE 2026, Civil Engineering Session 1, page 9 of 36
Page 9 of 36
Text of page 9
Civil Engineering (CE1)




 Q.9         Consider a linear arrangement of seven bulbs, each of which can be in the ON or
             OFF states. The initial configuration of the bulbs is shown in the figure. In every
             Step, the states of the bulbs are changed based on the following rules:

                            Any OFF bulb with exactly one ON neighbor at the end of the
                             previous Step is turned ON.
                            Any ON bulb with both neighbors ON at the end of the previous
                             Step is turned OFF.
                            The state of any bulb not meeting the conditions above is left
                             unchanged.

             The state of bulbs at the end of Step 1 and Step 2 are also shown in the figure.

             The number of bulbs which are ON at the end of Step 8 is ______




 (A)         5


 (B)         4


 (C)         3


 (D)         0




Organizing Institute: IIT Guwahati               Page 9 of 36
GATE CE 2026 question paper, GATE 2026, Civil Engineering Session 1, page 10 of 36
Page 10 of 36
Text of page 10
Civil Engineering (CE1)




 Q.10         P and Q are two positive integers such that P2 = Q 2 + 13.

             The product of the numbers P and Q is _________




 (A)         13


 (B)         26


 (C)         39


 (D)         42




Organizing Institute: IIT Guwahati          Page 10 of 36
GATE CE 2026 question paper, GATE 2026, Civil Engineering Session 1, page 11 of 36
Page 11 of 36
Text of page 11
Civil Engineering (CE1)




Q.11 – Q.35 Carry ONE mark Each

 Q.11        Matrix P is given as

                                                   1 0 1
                                             P = [ 0 1 0]
                                                   1 0 1
             The TRUE option is




 (A)         Trace of P is equal to the sum of the Eigen values of P.


 (B)         PT P is an identity matrix.


 (C)         P is a skew-symmetric matrix.


 (D)         Absolute magnitude of each Eigen value is 1.




Organizing Institute: IIT Guwahati           Page 11 of 36
GATE CE 2026 question paper, GATE 2026, Civil Engineering Session 1, page 12 of 36
Page 12 of 36
Text of page 12
Civil Engineering (CE1)




 Q.12        Given:
                                                      x1
                                            1   1 1 x        0
                                           [       ] { 2} = { }
                                            1   0 2 x        0
                                                       3

             The above system of equations represents a




 (A)         plane


 (B)         line


 (C)         volume


 (D)         point




 Q.13        A thin-walled spherical gas balloon of radius R and wall thickness t (t << R) is
             subjected to an internal (gauge) pressure p. The maximum tensile and shear stresses
             in the balloon wall are, respectively:




 (A)         Zero and pR⁄2t


 (B)         pR⁄2t and Zero


 (C)         pR⁄2t and pR⁄4t


 (D)         pR⁄4t and Zero




Organizing Institute: IIT Guwahati          Page 12 of 36
GATE CE 2026 question paper, GATE 2026, Civil Engineering Session 1, page 13 of 36
Page 13 of 36
Text of page 13
Civil Engineering (CE1)




 Q. 14       Black dot shown in the figure qualitatively represents the shear centre of the angle
             section. The option which represents the position of the shear centre is:




 (A)




 (B)




 (C)




 (D)




Organizing Institute: IIT Guwahati           Page 13 of 36
GATE CE 2026 question paper, GATE 2026, Civil Engineering Session 1, page 14 of 36
Page 14 of 36
Text of page 14
Civil Engineering (CE1)




 Q.15        Which one of the following is utilized to determine the long-term deformation of
             concrete under sustained loading?




 (A)         Creep


 (B)         Shrinkage


 (C)         Modulus of rupture


 (D)         Split tensile strength




 Q.16        Two reservoirs having different water levels are connected by two long parallel
             pipelines of same length and same material but having diameters of 600 mm and
             400 mm. Using Darcy-Weisbach equation, the ratio of flowrate of water in the
             bigger diameter pipe to that in the smaller diameter pipe is




 (A)         0.54


 (B)         1.22


 (C)         1.84


 (D)         2.76




Organizing Institute: IIT Guwahati         Page 14 of 36
GATE CE 2026 question paper, GATE 2026, Civil Engineering Session 1, page 15 of 36
Page 15 of 36
Text of page 15
Civil Engineering (CE1)




 Q.17        An irrigation canal is to be designed to deliver 10 cumec to meet the peak demand
             of 7500 hectare of cropped area. The estimated canal losses are 50 % of the head
             discharge. The duty (in hectare/cumec) on capacity of this canal is




 (A)         375


 (B)         1125


 (C)         1500


 (D)         1875




Organizing Institute: IIT Guwahati          Page 15 of 36
GATE CE 2026 question paper, GATE 2026, Civil Engineering Session 1, page 16 of 36
Page 16 of 36
Text of page 16
Civil Engineering (CE1)




 Q.18        The name of a person in Column 1 is to be matched with the test mentioned in
             Column 2.


                                         Column 1                   Column 2


                                     (I) Menard              (P) Dilatometer test


                                     (II) Marchetti          (Q) Pressuremeter test


                                     (III) Casagrande        (R) Compaction test


                                     (IV) Proctor            (S) Liquid limit test


             Option giving the CORRECT match between Column 1 and Column 2 is:




 (A)         (I) – (Q) ; (II) – (P) ; (III) – (S) ; (IV) – (R)


 (B)         (I) – (R) ; (II) – (S) ; (III) – (Q) ; (IV) – (P)


 (C)         (I) – (P) ; (II) – (Q) ; (III) – (S) ; (IV) – (R)


 (D)         (I) – (R) ; (II) – (S) ; (III) – (P) ; (IV) – (Q)




Organizing Institute: IIT Guwahati                  Page 16 of 36
GATE CE 2026 question paper, GATE 2026, Civil Engineering Session 1, page 17 of 36
Page 17 of 36
Text of page 17
Civil Engineering (CE1)




 Q.19        Corrections are applied to the basic length of the runway strip considering:

                  (i) The elevation H (in m) of the airport above Mean Sea Level (MSL)
                  (ii) Corrected air temperature T (in o C) with respect to the standard
                        temperature at elevation H
                  (iii) The effective gradient G (in %) along the length of the runway

             Respective correction applied to the basic length of the runway is:




 (A)                       H
             0.07 ×            ; 0.01 × T ; 0.10 × G
                         300


 (B)                       H
             0.01 ×            ; 0.07 × T ;   0.10 × G
                         300


 (C)                       H
             0.07 ×            ; 0.10 × T ;   0.01 × G
                         300


 (D)                       H
             0.10 ×            ; 0.07 × T ; 0.01 × G
                         300




 Q.20        The Whole Circle Bearing (WCB) of line AB is 150o. The length of AB is 100 m.
             The latitude and departure values, respectively, for this line are:




 (A)         +86.60 ; +50.00


 (B)         +86.60 ; 50.00


 (C)         86.60 ; +50.00


 (D)         86.60 ; 50.00




Organizing Institute: IIT Guwahati             Page 17 of 36
GATE CE 2026 question paper, GATE 2026, Civil Engineering Session 1, page 18 of 36
Page 18 of 36
Text of page 18
Civil Engineering (CE1)




 Q.21        A rapid sand filter bed of depth 0.8 m has 40 % porosity during service cycle. It is
             recommended that during backwash operation, the expanded filter bed should have
             70 % porosity. The uniform expanded depth (in m) of the filter bed during backwash
             is




 (A)         1.0


 (B)         1.2


 (C)         1.4


 (D)         1.6




 Q.22        The settling velocity of inorganic particles in the sedimentation tank of a water
             treatment plant is governed by




 (A)         Darcy’s law


 (B)         Stokes’ law


 (C)         Dupuit’s law


 (D)         Bernoulli’s law




Organizing Institute: IIT Guwahati           Page 18 of 36
GATE CE 2026 question paper, GATE 2026, Civil Engineering Session 1, page 19 of 36
Page 19 of 36
Text of page 19
Civil Engineering (CE1)




 Q.23        Gradually Varied Flow (GVF) profiles in open channels given in Column 1 are to
             be matched with the water surface slopes in Column 2 in the table below.


                                      Column 1                     Column 2

                                     GVF Profile              Water Surface Slope


                                        (P) M1                    (I) Positive


                                       (Q) M2                     (II) Negative


                                        (R) M3                    (III) Zero


             Which of the following options is/are NOT correct?




 (A)         (P) – (I) ; (Q) – (II) ; (R) – (I)


 (B)         (P) – (I) ; (Q) – (II) ; (R) – (III)


 (C)         (P) – (II) ; (Q) – (I) ; (R) – (I)


 (D)         (P) – (I) ; (Q) – (III) ; (R) – (II)




Organizing Institute: IIT Guwahati                Page 19 of 36
GATE CE 2026 question paper, GATE 2026, Civil Engineering Session 1, page 20 of 36
Page 20 of 36
Text of page 20
Civil Engineering (CE1)




 Q.24        Cant C on a Broad Gauge railway track is calculated for an equilibrium speed
             V (in km/h), dynamic gauge G (in mm) and radius of curve R (in m) using
             formula/formulae:




 (A)             GV 2
             C=
                127 R

 (B)                13.76 V 2
             C=
                       R

 (C)                13.20 V 2
             C=
                       R

 (D)            8.33 V 2
             C=
                   R




 Q.25        Which of the following components is/are NOT removed in the secondary treatment
             of sewage?




 (A)         Suspended settleable organic solids


 (B)         Colloids including dissolved organic matter


 (C)         Pathogens


 (D)         Fat and grease




Organizing Institute: IIT Guwahati          Page 20 of 36
GATE CE 2026 question paper, GATE 2026, Civil Engineering Session 1, page 21 of 36
Page 21 of 36
Text of page 21
Civil Engineering (CE1)




 Q.26        Bag I contains 4 white and 6 black balls.

             Bag II contains 4 white and 3 black balls.

             One ball is drawn at random from any one of the two bags and it is found to be a
             black ball. The probability that the black ball was drawn from Bag I is ______
             (rounded off to two decimal places).


 Q.27        A matrix is given as:

                                                     9        15
                                                   [             ]
                                                    15        50

             By performing Cholesky decomposition, |l22| of the lower triangular matrix is
             ______ (in integer).


 Q.28        It is given that x and y are integers in the following equation:

                                     (x + y − 7)2 + (y + 3x − 13)2 = 0

             The value of (x 3 + y 3 ) is ________ (in integer).


 Q.29        The required centre-to-centre spacing of 10 mm diameter bars is 150 mm to resist
             the design moment in a concrete slab. Instead of 10 mm diameter bars, if 12 mm
             diameter bars of the same grade are used, the required centre-to-centre spacing (in
             mm) to resist the same design moment becomes ________ (rounded off to the
             nearest integer).


 Q.30        Two steel plates are to be connected together by a 5 mm fillet weld of length
             150 mm to transfer a design load. If the size of the fillet weld used to connect the
             same two plates is changed to 6 mm, the weld length (in mm) needed for transferring
             the same design load is ________ (in integer).


 Q.31        For a liquid, the permeability of a sandy soil having a void ratio of 0.60 was
             determined as 0.14 cm/s. Considering the same liquid and by using Taylor’s
             equation, the permeability (in cm/s) of this soil corresponding to the void ratio of
             0.80 is _____ (rounded off to two decimal places).


 Q.32        To obtain undisturbed clay soil sample, an Area Ratio of 10 % needs to be achieved
             for a thin walled sampling tube. If the outer diameter of the tube is 50.8 mm, the
             inner diameter (in mm) is __________________ (rounded off to one decimal place).




Organizing Institute: IIT Guwahati            Page 21 of 36
GATE CE 2026 question paper, GATE 2026, Civil Engineering Session 1, page 22 of 36
Page 22 of 36
Text of page 22
Civil Engineering (CE1)




 Q.33        The travel times of three vehicles on a 2 km stretch of road are 4, 5, and 8 minutes.
             Assuming the speed of each vehicle to be constant in this stretch, the Space Mean
             Speed (in km/h) of the vehicles is ___________ (rounded off to two decimal places).


 Q.34        A 30 m long tape is standardized at 25 o C. It was used to measure the length of a
             line which came out to be 200 m. The temperature during the measurement was
             35 o C. The coefficient of expansion of the tape was 11 × 106 per o C. The correction
             in the measured length (in mm) due to change in temperature is ______ (in integer).


 Q.35        The height of the plane of collimation of a levelling instrument is 100.000 m from
             a datum. The levelling instrument measures a Back Sight of 1.500 m on a vertically
             held staff at a ground point P. The reduced level (in m) of the ground point P with
             respect to the datum is ________________ (rounded off to three decimal places).




Organizing Institute: IIT Guwahati            Page 22 of 36
GATE CE 2026 question paper, GATE 2026, Civil Engineering Session 1, page 23 of 36
Page 23 of 36
Text of page 23
Civil Engineering (CE1)




Q.36 – Q.65 Carry TWO marks Each

 Q.36        Let f(x) be a continuous function defined in [0,2] → ℝ and satisfying the equation
                 2                          2
             ∫0 f(x)[x − f(x)]dx = 3 .

             The value of f(1) is




 (A)         1


 (B)         2


 (C)         1
             2

 (D)         0




Organizing Institute: IIT Guwahati          Page 23 of 36
GATE CE 2026 question paper, GATE 2026, Civil Engineering Session 1, page 24 of 36
Page 24 of 36
Text of page 24
Civil Engineering (CE1)




 Q.37        An ordinary differential equation is given below.

                                                 d2y
                                                 2
                                               x      = 6y
                                                 dx 2
             Considering a and b as arbitrary constants, the general solution of the equation is




                                     b
 (A)         y(x) = ax 3 +
                                     x2

                                     b
 (B)         y(x) = ax 2 +
                                     x3

 (C)         y(x) = ax 2 + b ln x

 (D)         y(x) = ax 3 + b ln x




Organizing Institute: IIT Guwahati           Page 24 of 36
GATE CE 2026 question paper, GATE 2026, Civil Engineering Session 1, page 25 of 36
Page 25 of 36
Text of page 25
Civil Engineering (CE1)




 Q.38        A plane truss consists of two linearly elastic, homogeneous, identical members,
             namely PQ and QR. Both members have length (L), cross-sectional area (A), and
             modulus of elasticity (E). The members are inclined at 45 as shown in the figure.
             The truss has hinge supports at P and R. The translational degrees-of-freedom
             (u and v) are shown at joint Q.




                                           (Figure not to scale)

             After application of the boundary conditions, the stiffness matrix of the truss
             becomes:




 (A)         AE 1 1
                [   ]
              L 1 1


 (B)         AE 1 0.5
                [     ]
              L 0.5 1


 (C)         AE 1 0
                [   ]
              L 0 1


 (D)         AE 1 −1
                [    ]
              L −1 1




Organizing Institute: IIT Guwahati          Page 25 of 36
GATE CE 2026 question paper, GATE 2026, Civil Engineering Session 1, page 26 of 36
Page 26 of 36
Text of page 26
Civil Engineering (CE1)




 Q.39        The plane frame has a hinge and a roller support, and is loaded as shown in the
             figure. Both the columns have same height.




                                          (Figure not to scale)

             What is the absolute value of the maximum bending moment (in kN-m) in the
             frame?




 (A)         165


 (B)         150


 (C)         240


 (D)         195




Organizing Institute: IIT Guwahati         Page 26 of 36
GATE CE 2026 question paper, GATE 2026, Civil Engineering Session 1, page 27 of 36
Page 27 of 36
Text of page 27
Civil Engineering (CE1)




 Q.40        For a hydraulic jump formed in a rectangular horizontal channel, the sequent depth
             ratio is 2. The Froude number of supercritical stream is




 (A)         √3


 (B)         √5


 (C)         √6


 (D)         √8




 Q.41        In a laminar flow of a Newtonian fluid through a circular pipe of radius 5 cm, the
             maximum velocity is found to be 2 m/s. The velocity (in m/s) at a radial distance of
             2.50 cm from the axis of the pipe is




 (A)         1.00


 (B)         1.25


 (C)         1.50


 (D)         1.75




Organizing Institute: IIT Guwahati           Page 27 of 36
GATE CE 2026 question paper, GATE 2026, Civil Engineering Session 1, page 28 of 36
Page 28 of 36
Text of page 28
Civil Engineering (CE1)




 Q.42        A road is divided into four sections having varying widths as shown in the figure.
             Section-2 (S2) represents a capacity constrained condition with respect to the traffic
             flow passing through Section-1 (S1). Section-3 (S3) and Section-4 (S4) do not face
             any such capacity constraint with respect to the flow. A flow-density relationship
             for unconstrained and constrained flow conditions is shown in the figure.



                                      S1            S2             S3        S4



                               Flow
                               rate
                                               2                    Unconstrained flow
                                           1              3         4
                                                                         Constrained flow



                                                                                  Density
                                           D1 D2        D3         D4



             If Section-1 observes density D2, the option representing the correct state of density
             in Sections 2, 3 and 4 is:




 (A)         S2  D4 ; S3  D3 ; S4  D2


 (B)         S2  D3 ; S3  D2 ; S4  D1


 (C)         S2  D3 ; S3  D4 ; S4  D2


 (D)         S2  D4 ; S3  D3 ; S4  D1




Organizing Institute: IIT Guwahati                 Page 28 of 36
GATE CE 2026 question paper, GATE 2026, Civil Engineering Session 1, page 29 of 36
Page 29 of 36
Text of page 29
Civil Engineering (CE1)




 Q.43        Locations P and Q are separated by a wide valley. The difference in levels of
             locations P and Q measured by a levelling instrument stationed near P is 3.0 m. The
             same instrument stationed near Q measures the difference in levels of locations
             P and Q as −1.0 m. Assume that the atmospheric refraction is same during the
             measurements. The true difference in levels (in m) of locations P and Q is




 (A)         1.0


 (B)         1.5


 (C)         2.0


 (D)         4.0




 Q.44        The average sewage from a city is 90 million litres per day and the average 5-day
             Biochemical Oxygen Demand (BOD5) is 300 mg/l. Average standard BOD5 of the
             domestic sewage is 0.08 kg/day/person. The population equivalent of the city is




 (A)         337500


 (B)         216000


 (C)         270000


 (D)         168750




Organizing Institute: IIT Guwahati          Page 29 of 36
GATE CE 2026 question paper, GATE 2026, Civil Engineering Session 1, page 30 of 36
Page 30 of 36
Text of page 30
Civil Engineering (CE1)




 Q.45        Select ALL CORRECT option(s) which can be considered to check whether the
             flexural stresses in a prestressed concrete beam are within the allowable stresses at
             the transfer and the service stages.




 (A)         Limiting zone for prestressing


 (B)         Magnel’s graph


 (C)         Hoyer effect


 (D)         Load balancing method




 Q.46        As per the Rankine’s earth pressure theory, which of the following statements is/are
             FALSE?




 (A)         For the active earth pressure, the inclination of failure plane is (45 + /2) with
             respect to the major principal plane.


 (B)         For the active earth pressure, the inclination of failure plane is (45 – /2) with
             respect to the major principal plane.


 (C)         For the passive earth pressure, the inclination of failure plane is (45 + /2) with
             respect to the major principal plane.


 (D)         For the passive earth pressure, the inclination of failure plane is (45 – /2) with
             respect to the major principal plane.




Organizing Institute: IIT Guwahati            Page 30 of 36
GATE CE 2026 question paper, GATE 2026, Civil Engineering Session 1, page 31 of 36
Page 31 of 36
Text of page 31
Civil Engineering (CE1)




 Q.47        Which of the following statements is/are TRUE in the context of the geometric
             design of highways?




 (A)         The coefficient of friction used for the design of horizontal curves is lower than the
             coefficient of friction used in the computation of the sight distances.


 (B)         Centrifugal force at horizontal curve is counteracted by raising the middle of the
             pavement with respect to the edges.


 (C)         Grade compensation is achieved by increasing the gradient of the horizontal curve.


 (D)         Under identical conditions, the design length of the summit curve of a road having
             unidirectional flow will be greater than that of the same road having bidirectional
             flow.




 Q.48        Starting with the first approximation as x = 0.5, the second approximation for the
             root of the following function by the Newton-Raphson method is ______ (rounded
             off to two decimal places).

                                              f(x) = e −x − x

 Q.49        Values of y for different values of x are tabulated below.


                                          x       −2          1    2


                                          y        28         4   16


             If a second-degree interpolating polynomial P2 (x) is used to represent y, the value
             of P2 (0) is ___________ (rounded off to the nearest integer).




Organizing Institute: IIT Guwahati            Page 31 of 36
GATE CE 2026 question paper, GATE 2026, Civil Engineering Session 1, page 32 of 36
Page 32 of 36
Text of page 32
Civil Engineering (CE1)




 Q.50        Two identical blocks A and B are connected by a rigid rod. The blocks rest against
             vertical and horizontal planes, as shown in the figure. The coefficient of static
             friction at the vertical and horizontal planes is the same. If the sliding impends when
              = 45 o, the value of the coefficient of static friction is ______ (rounded off to two
             decimal places).


                                       A



                                               



                                                                 B



 Q.51        A homogenous, linearly elastic rod AB is connected to a linearly elastic spring BC
             in between the fixed supports at A and C, as shown in the figure. The cross-sectional
             area, modulus of elasticity, and the coefficient of thermal expansion of the rod AB
             are 500 mm2, 60 × 103 MPa, and 12 × 106 per o C, respectively. The stiffness (k)
             of spring BC is 2500 N/mm.




                                             (Figure not to scale)

             The internal force (in kN) that will develop in the spring BC when the temperature
             of rod AB is increased by 100 o C is _________ (rounded off to one decimal place).




Organizing Institute: IIT Guwahati            Page 32 of 36
GATE CE 2026 question paper, GATE 2026, Civil Engineering Session 1, page 33 of 36
Page 33 of 36
Text of page 33
Civil Engineering (CE1)




 Q.52        The cross-section of a steel T-beam is shown in the figure where all dimensions are
             in mm.




                                             (Figure not to scale)

             The     plastic    section    modulus            of   the     given      cross-section
             is _________ × 104 mm3 (in integer).


 Q.53        A fully-penetrating well of 20 cm diameter is provided in an unconfined aquifer.
             The height of the ground water table is 30 m from the bottom of the aquifer. After a
             long period of pumping at a rate of 63 m3/s, the drawdown in the observation wells
             at 10 m and 100 m from the pumped well is 12 m and 11 m, respectively. The
             transmissibility (in m2/s) of the aquifer is ______ (rounded off to one decimal place).


 Q.54        A wide unlined channel carries sediment-free water. The depth of water is 1 m. The
             specific weight of water is 10 kN/m3. To prevent scouring, the maximum
             permissible tractive stress on bed is 10 N/m2. The maximum slope of the channel
             bed to prevent scouring is 1 in n. The value of n is ______ (in integer).

             A bridge with an expected life of 50 years is designed for a flood of 10000 m 3/s
 Q.55
             corresponding to the return period of 100 years. The risk associated with this design
             is _____________ (rounded off to two decimal places).




Organizing Institute: IIT Guwahati            Page 33 of 36
GATE CE 2026 question paper, GATE 2026, Civil Engineering Session 1, page 34 of 36
Page 34 of 36
Text of page 34
Civil Engineering (CE1)




 Q.56        An infinite slope with slope angle β = 22 consists of soil with the following
             properties:

             Unit weight  = 15.72 kN/m3

             Cohesion c = 12 kPa

             Angle of internal friction  = 15

             The critical height of the slope (in m) is ______ (rounded off to two decimal places).


 Q.57        A circular pile of 600 mm diameter and 6 m length is embedded in a saturated clayey
             soil. Undrained cohesion of the soil is 80 kPa. Unit weight of the soil is
             19.20 kN/m3. The adhesion factor is 0.54. If the diameter of the pile is doubled to
             1200 mm (keeping the length constant), the ratio of pile capacity of 1200 mm
             diameter pile to that of 600 mm diameter pile is ______ (rounded off to two decimal
             places).


 Q.58        A group of 25 circular piles is arranged in 5 × 5 uniform pattern in a soft clay soil
             with equal spacing in both the directions. These are friction piles with negligible end
             bearing.

             Consider the following details:

             Diameter of each pile = 1 m
             Length of each pile = 15 m
             Cohesion of the soil = 20 kN/m2
             Unit weight of the soil = 16 kN/m3
             Adhesion factor = 0.75

             Considering the efficiency of the pile group as unity, the optimum value of the ratio
             of the pile spacing to pile diameter is __________________ (rounded off to one
             decimal place).


 Q.59        A shallow strip footing of width 2 m is embedded at a depth of 1.5 m below the
             ground surface in a homogeneous pure clay with an angle of internal friction zero.
             Consider unit weight of soil as 20 kN/m3 and undrained cohesion of soil as
             20 kN/m2.

             Due to rise of ground water table from far below the founding depth to the ground
             surface in monsoon season, the magnitude of percentage change in the net ultimate
             bearing capacity as per Terzaghi’s theory is __________________ (rounded off to
             two decimal places).




Organizing Institute: IIT Guwahati             Page 34 of 36
GATE CE 2026 question paper, GATE 2026, Civil Engineering Session 1, page 35 of 36
Page 35 of 36
Text of page 35
Civil Engineering (CE1)




 Q.60        Traffic is moving on a 6-lane dual carriageway road. Traffic volume per direction
             during peak hour (08:00 am to 09:00 am) is 6000 veh/h. It is assumed that the traffic
             is distributed uniformly across the lanes in each direction. Just at 08:00 am, a truck
             goes out of order on the middle lane of one side, thus disrupting the traffic on that
             lane in one direction. The lane capacity under normal conditions is 2000 veh/h/ln
             and under queue formation it is 1600 veh/h/ln. The traffic resumes at 08:30 am on
             removing the truck from the middle lane. Hourly traffic volume after 09:00 am
             reduces to 5000 veh/h/dir.

             The number of vehicles in the queue at 10:00 am is ______ (in integer).


 Q.61        In a bituminous mix, the percentage by weight of coarse aggregate, fine aggregate,
             filler, and bituminous binder is 58, 25, 12, and 5, respectively. The corresponding
             specific gravity of these materials is 2.68, 2.45, 2.42, and 1.15. The bulk specific
             gravity of the mix is 2.2.

             The Voids Filled with Bitumen (VFB, in percentage) is __________ (rounded off to
             the nearest integer).


 Q.62        The following consecutive readings (in m) were taken with a dumpy level and a
             levelling staff at a common interval of 20 m:

             0.385; 1.030; 1.925; 2.825; 3.730; 4.850; 1.045; 2.005; 3.330; 4.580

             The dumpy level was shifted after taking the sixth reading.

             The gradient (in %) of the ground between the first and the last location of the
             reading is ______ (in integer).


 Q.63        An Activated Sludge Process (ASP) has an inlet wastewater flowrate of
             20000 m3/day with a Biochemical Oxygen Demand (BOD) concentration of
             250 mg/l. It produces treated wastewater containing 20 mg/l BOD. The aeration tank
             has a working volume of 6000 m3 and a biomass concentration of 3000 mg/l.
             Biological Sludge Residence Time (BSRT) of the system is 6 days. The influent
             wastewater and the treated effluent from the system have negligible concentrations
             of biomass. The sludge recycle line from the bottom of the Secondary Sedimentation
             Tank (SST) to the inlet of the aeration tank has a flowrate of 6000 m3/day.

             To maintain equilibrium, the flowrate (in m3/day) of sludge that is to be wasted from
             the system is ______ (in integer).




Organizing Institute: IIT Guwahati            Page 35 of 36
GATE CE 2026 question paper, GATE 2026, Civil Engineering Session 1, page 36 of 36
Page 36 of 36
Text of page 36
Civil Engineering (CE1)




 Q.64        The intensity-duration relationship for a rainfall on a rectangular plot ABCD of area
             7 ha (1 ha = 104 m2) can be modelled by the following equation:

                                                          25
                                                  I=
                                                       (t + 10)

             where I is rainfall intensity (in cm/h), and t is the duration (in minutes) of rainfall.
             The average runoff coefficient over the area is 0.60. The time of entry (in minutes)
             to the outfall from the corners A, B, C, and D is 10, 20, 15 and 25, respectively.

             The design flowrate (in m3/h) of the storm-sewer at the outfall is _____ (in integer).


 Q.65        The maximum demand at a water purification plant has been estimated as
             12 million litres per day. For the raw supplies, a rectangular sedimentation tank is
             to be designed with mechanical sludge removal arrangement. Consider depth of the
             tank as 4 m, detention period as 6 hours, and velocity of flow as 0.003 m/s.

             The width (in m) of the detention tank is _________ (rounded off to two decimal
             places).




Organizing Institute: IIT Guwahati             Page 36 of 36
Page 1 of 36

Source: GATE. Question paper published by GATE.