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GATE 2025 CE (CE1) – Previous Year Questions with Solutions

All 65 questions of GATE 2025 CE (CE1) with answers and explanations. Read each question, then practise it by topic or as a full paper.

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  1. Question 1 (1 mark, Multiple choice) – Is there any good show television tonight? Select the most appropriate option to complete the above sentence.
  2. Question 2 (1 mark, Multiple choice) – As the police officer was found guilty of embezzlement, he was dismissed from the service in accordance with the Service Rules. Select the most…
  3. Question 3 (1 mark, Multiple choice) – The sum of the following infinite series is: 11! + 12! + 13! + 14! + 15! +
  4. Question 4 (1 mark, Multiple choice) – A thin wire is used to construct all the edges of a cube of 1 m side by bending, cutting and soldering the wire. If the wire is 12 m long, what is the…
  5. Question 5 (1 mark, Multiple choice) – The figures I, II and III are parts of a sequence. Which one of the following options comes next in the sequence at IV?
  6. Question 6 (2 marks, Multiple choice) – "Why do they pull down and do away with crooked streets, I wonder, which are my delight, and hurt no man living? Every day the wealthier nations are…
  7. Question 7 (2 marks, Multiple choice) – Rohit goes to a restaurant for lunch at about 1 PM. When he enters the restaurant, he notices that the hour and minute hands on the wall clock are…
  8. Question 8 (2 marks, Multiple choice) – A color model is shown in the figure with color codes: Yellow (Y), Magenta (M), Cyan (Cy), Red (R), Blue (Bl), Green (G), and Black (K). Which one of…
  9. Question 9 (2 marks, Multiple choice) – A circle with center at (x, y) = (0.5, 0) and radius = 0.5 intersects with another circle with center at (x, y) = (1, 1) and radius = 1 at two points.…
  10. Question 10 (2 marks, Multiple choice) – An object is said to have an n-fold rotational symmetry if the object, rotated by an angle of 2n, is identical to the original. Which one of the…
  11. Question 11 (1 mark, Multiple choice) – Suppose is an eigenvalue of matrix A and x is the corresponding eigenvector. Let x also be an eigenvector of the matrix B = A - 2I, where I is the…
  12. Question 12 (1 mark, Multiple choice) – Let A = bmatrix 1 & 1 \\ 1 & 3 \\ -2 & -3 bmatrix and b = bmatrix b 1 \\ b 2 \\ b 3 bmatrix. For Ax = b to be solvable, which one of the following…
  13. Question 13 (1 mark, Multiple choice) – Which one of the following options is the correct Fourier series of the periodic function f(x) described below: f(x) = cases 0, & -2 < x < -1 \\ 2k, &…
  14. Question 14 (1 mark, Multiple choice) – X is a random variable that can take any one of the values 0, 1, 7, 11, and 12. The probability mass function for X is P(X = 0) = 0.4; P(X = 1) = 0.3;…
  15. Question 15 (1 mark, Multiple choice) – As per IS 456:2000 provisions for two-way slabs with continuous edges, the longitudinal steel reinforcement to be provided in the edge strip is based…
  16. Question 16 (1 mark, Multiple choice) – Identify the FALSE statement from the following options:
  17. Question 17 (1 mark, Multiple choice) – The results of a consolidated drained triaxial test on a normally consolidated clay are shown in the figure. The angle of internal friction is
  18. Question 18 (1 mark, Multiple choice) – The standard plasticity chart for the classification of a fine-grained soil is shown in the figure. As per the Indian standard soil classification…
  19. Question 19 (1 mark, Multiple choice) – For a flowing fluid, a dimensionless combination of velocity (V), length scale (l), and acceleration due to gravity (g) would be
  20. Question 20 (1 mark, Multiple choice) – To derive the total flood hydrograph at a catchment outlet from an isolated storm, the order in which the following methods are applied, from the…
  21. Question 21 (1 mark, Multiple choice) – Fecal Coliform (FC) concentration in river water was measured as 10780 cfu/100 ml. The FC concentration after the conventional water treatment, but…
  22. Question 22 (1 mark, Multiple choice) – A hydrocarbon (C nH m) is burnt in air (O 2 + 3.78N 2). The stoichiometric fuel to air mass ratio for this process is Note: Atomic Weight: C(12), H(1)…
  23. Question 23 (1 mark, Multiple choice) – All the vehicles that come during a particular peak hour come during a 10-minute period within this hour. The 15-minute peak hour factor for this peak…
  24. Question 24 (1 mark, Multiple choice) – In the context of testing bitumen, which one of the following statements is FALSE:
  25. Question 25 (1 mark, Multiple choice) – The maximum degree of the curve that can be used for railways in a mountainous region is
  26. Question 26 (1 mark, Multiple choice) – If the horizontal distance between a staff point and the point of observation is d, the error due to the curvature of earth is proportional to
  27. Question 27 (1 mark, Multiple choice) – If the quadrantal bearing of a line is N30W, then the whole circle bearing of the line is
  28. Question 28 (1 mark, Multiple select) – Which of the following equations belong/belongs to the class of second-order, linear, homogeneous partial differential equations:
  29. Question 29 (1 mark, Multiple select) – Consider the frame shown in the figure under the loading of 100 kN.m couples at the joints B and G. Considering only the effects of flexural…
  30. Question 30 (1 mark, Multiple select) – For the Bernoulli's equation to be applicable in a fluid flow situation, which of the following conditions is/are to be satisfied:
  31. Question 31 (1 mark, Multiple select) – The Surface Overflow Rate (SOR) in a rectangular sedimentation tank is 45 m3/m2/d. Minimum diameters of spherical inorganic and organic particles…
  32. Question 32 (1 mark, Multiple select) – Aeration is employed as a treatment option for the removal of several pollutants from contaminated water. Identify the pollutant(s), where aeration is…
  33. Question 33 (1 mark, Numerical answer) – If the weights retained on the 2.36 mm, 1.18 mm, 600 µm, and 300 µm sieves are 30%, 35%, 15%, and 20%, respectively, of the total weight of an…
  34. Question 34 (1 mark, Numerical answer) – A water resources project with an expected life of 25 years has to be designed for an acceptable risk of 5% against a design flood. The return period…
  35. Question 35 (1 mark, Numerical answer) – Road A and Road B are joined by a circular horizontal curve of radius 200 m as shown in the figure. Road A and Road B are tangential to the curve at…
  36. Question 36 (2 marks, Multiple choice) – The value of x (x - x2 + x) is equal to
  37. Question 37 (2 marks, Multiple choice) – In the rigid-jointed frame shown in the figure, the distribution factor of the member AD is closest to
  38. Question 38 (2 marks, Multiple choice) – In an oedometer apparatus a specimen of fully saturated clay has been consolidated under a vertical pressure of 100 kPa and is at equilibrium state.…
  39. Question 39 (2 marks, Multiple choice) – The mean rainfall over a catchment has to be estimated. The data for four rain gauges located in and around the catchment is listed in the table.…
  40. Question 40 (2 marks, Multiple choice) – The speed-density relation on a one-way, single lane road is shown in the figure, where speed u is in km/hour and density k is in vehicles/km. The…
  41. Question 41 (2 marks, Multiple select) – Consider the beam ACDEB given in the figure. Which of the following statements is/are correct:
  42. Question 42 (2 marks, Multiple select) – In the context of construction project management, which of the following statements is/are true:
  43. Question 43 (2 marks, Multiple select) – Lacey's regime equations, followed in India for making scour calculations while designing hydraulic structures across alluvial channels, are given…
  44. Question 44 (2 marks, Multiple select) – MgCl 2 and CaSO 4 salts are added to 1 litre of distilled deionized water and mixed until completely dissolved. Total Dissolved Solids (TDS)…
  45. Question 45 (2 marks, Multiple select) – A facultative pond system is employed for wastewater treatment. Which of the following statements is/are true:
  46. Question 46 (2 marks, Multiple select) – Organic fraction of municipal solid waste (OFMSW) with bulk density of 315 kg/m3 and water content of 30% is mixed with municipal sludge of bulk…
  47. Question 47 (2 marks, Numerical answer) – Let y be the solution of the initial value problem y'' + 0.8y' + 0.16y = 0, where y(0) = 3 and y'(0) = 4.5. Then, y(1) is equal to (*rounded off to 1…
  48. Question 48 (2 marks, Numerical answer) – The maximum value of the function h(x) = -x3 + 2x2 in the interval [-1, 1.5] is equal to (*rounded off to 1 decimal place*).
  49. Question 49 (2 marks, Numerical answer) – Consider the differential equation given below. Using the Euler method with the step size (h) of 0.5, the value of y at x = 1.0 is equal to (*rounded…
  50. Question 50 (2 marks, Numerical answer) – For the beam and loading shown in the figure, the second derivative of the deflection curve of the beam at the mid-point of AC is given by M 08EI. The…
  51. Question 51 (2 marks, Numerical answer) – Consider the rigid bar ABC supported by the pin-jointed links BD and CE and subjected to a load P at the end A, as shown in the figure. The axial…
  52. Question 52 (2 marks, Numerical answer) – Consider a reinforced concrete beam section of 300 mm width and 700 mm depth. The beam is reinforced with the tension steel of 2000 mm2 area at an…
  53. Question 53 (2 marks, Numerical answer) – Consider the beam section shown in the figure, with y indicating the depth of neutral axis (NA). The section is only subjected to an increasing…
  54. Question 54 (2 marks, Numerical answer) – Consider the built-up column made of two I-sections as shown in the figure, with each batten plate bolted to a component I-section of the column…
  55. Question 55 (2 marks, Numerical answer) – A cut slope is made in a silty clay soil for a new road project, as shown in the figure. The locations of ground water table (GWT) and potential…
  56. Question 56 (2 marks, Numerical answer) – A 6 m × 6 m square footing constructed in clay is subjected to a vertical load of 2500 kN at its centre. The base of the footing is 2 m below the…
  57. Question 57 (2 marks, Numerical answer) – A clayey soil has a moisture content of 18%, a specific gravity of soil solids of 2.74, and a degree of saturation of 65%. The soil soaks up water…
  58. Question 58 (2 marks, Numerical answer) – A single pile with 450 mm diameter has been driven into a homogeneous clay layer, which has an undrained cohesion (c u) of 20 kPa and unit weight of…
  59. Question 59 (2 marks, Numerical answer) – Two soils of permeabilities k 1 and k 2 are placed in a horizontal flow apparatus, as shown in the figure. For Soil 1, L 1 = 50 cm, and k 1 = 0.055…
  60. Question 60 (2 marks, Numerical answer) – A hydraulic jump is formed in a 5 m wide rectangular channel, which has a horizontal bed and is carrying a discharge of 15 m3/s. The depth of water…
  61. Question 61 (2 marks, Numerical answer) – A symmetrical trapezoidal canal is 100 km long. The bottom width is 10 m and the side slope is 1 Horizontal : 1 Vertical. The average flow depth in…
  62. Question 62 (2 marks, Numerical answer) – A 5.0 m wide rectangular channel carries a discharge of 10 m3/s at a depth of 1.5 m under uniform flow. To produce critical flow conditions without…
  63. Question 63 (2 marks, Numerical answer) – A one-way, single lane road has traffic that consists of 30% trucks and 70% cars. The speed of trucks (in km/h) is a uniform random variable on the…
  64. Question 64 (2 marks, Numerical answer) – In levelling between two points A and B on the opposite banks of a river, the readings are taken by setting the instrument both at A and B, as shown…
  65. Question 65 (2 marks, Numerical answer) – During determination of the bulk specific gravity of compacted bituminous specimen, the mass in air of the specimen is 1260 g and volume is 525 cm3.…