GATE 2026 CE (CE1) – Previous Year Questions with Solutions
All 65 questions of GATE 2026 CE (CE1) with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – 'The shopkeeper sells lemons.' In this sentence, the word 'lemons' is the .
- Question 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…
- Question 3 – At how many points will the curves y = x2 and y = -x2 - 2x - 1 intersect in the real (x, y) plane?
- Question 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…
- Question 5 – Which one of the following figures P, Q, R, or S, correctly shows the 45° clockwise-rotated version of figure (I)?
- Question 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…
- Question 7 – In the given figure, PQ is the diameter of a circle with center O. Two points R and S are chosen on the circle such that ROS = 80°. When PR and QS are…
- Question 8 – Based on the relationship between each polygon and the number inside it, the value of 'X' is .
- Question 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…
- Question 10 – P and Q are two positive integers such that P2 = Q2 + 13. The product of the numbers P and Q is
- Question 11 – Matrix P is given as P = bmatrix 1 & 0 & 1 \\ 0 & 1 & 0 \\ 1 & 0 & 1 bmatrix The TRUE option is
- Question 12 – Given: bmatrix 1 & 1 & 1 \\ 1 & 0 & 2 bmatrixBmatrix x 1 \\ x 2 \\ x 3 Bmatrix = Bmatrix 0 \\ 0 Bmatrix The above system of equations represents a
- Question 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…
- Question 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…
- Question 15 – Which one of the following is utilized to determine the long-term deformation of concrete under sustained loading?
- Question 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…
- Question 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 %…
- Question 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)…
- Question 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)…
- Question 20 – The Whole Circle Bearing (WCB) of line AB is 150°. The length of AB is 100 m. The latitude and departure values, respectively, for this line are:
- Question 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…
- Question 22 – The settling velocity of inorganic particles in the sedimentation tank of a water treatment plant is governed by
- Question 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…
- Question 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…
- Question 25 – Which of the following components is/are NOT removed in the secondary treatment of sewage?
- Question 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…
- Question 27 – A matrix is given as bmatrix 9 & 15 \\ 15 & 50 bmatrix By performing Cholesky decomposition, l 22 of the lower triangular matrix is (*in integer*).
- Question 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 (x3 + y3) is (*in integer*).
- Question 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,…
- Question 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…
- Question 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…
- Question 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…
- Question 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…
- Question 34 – A 30 m long tape is standardized at 25 °C. It was used to measure the length of a line which came out to be 200 m. The temperature during the…
- Question 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…
- Question 36 – Let f(x) be a continuous function defined in [0, 2] R and satisfying the equation 02 f(x)[x - f(x)]\,dx = 23. The value of f(1) is
- Question 37 – An ordinary differential equation is given below. x2d2ydx2 = 6y Considering a and b as arbitrary constants, the general solution of the equation is
- Question 38 – A plane truss consists of two linearly elastic, homogeneous, identical members, namely PQ and QR. Both members have length (L), cross-sectional area…
- Question 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. What is the absolute value…
- Question 40 – For a hydraulic jump formed in a rectangular horizontal channel, the sequent depth ratio is 2. The Froude number of supercritical stream is
- Question 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…
- Question 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…
- Question 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…
- Question 44 – The average sewage from a city is 90 million litres per day and the average 5-day Biochemical Oxygen Demand (BOD 5) is 300 mg/l. Average standard BOD…
- Question 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…
- Question 46 – As per the Rankine's earth pressure theory, which of the following statements is/are FALSE?
- Question 47 – Which of the following statements is/are TRUE in the context of the geometric design of highways?
- Question 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…
- Question 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 P 2(x) is…
- Question 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…
- Question 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.…
- Question 52 – The cross-section of a steel T-beam is shown in the figure where all dimensions are in mm. The plastic section modulus of the given cross-section is…
- Question 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…
- Question 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…
- Question 55 – A bridge with an expected life of 50 years is designed for a flood of 10000 m3/s corresponding to the return period of 100 years. The risk associated…
- Question 56 – An infinite slope with slope angle = 22° consists of soil with the following properties: Unit weight = 15.72 kN/m3 Cohesion c' = 12 kPa Angle of…
- Question 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…
- Question 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…
- Question 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…
- Question 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…
- Question 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.…
- Question 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;…
- Question 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.…
- Question 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:…
- Question 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…