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GATE 2023 CE (CE2) – Previous Year Questions with Solutions

All 65 questions of GATE 2023 CE (CE2) 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) – The line ran the page, right through the centre, and divided the page into two.
  2. Question 2 (1 mark, Multiple choice) – Kind : : : Often : Seldom (By word meaning)
  3. Question 3 (1 mark, Multiple choice) – In how many ways can cells in a 33 grid be shaded, such that each row and each column have exactly one shaded cell? An example of one valid shading is…
  4. Question 4 (1 mark, Multiple choice) – There are 4 red, 5 green, and 6 blue balls inside a box. If N number of balls are picked simultaneously, what is the smallest value of N that…
  5. Question 5 (1 mark, Multiple choice) – Consider a circle with its centre at the origin (O), as shown. Two operations are allowed on the circle. Operation 1: Scale independently along the x…
  6. Question 6 (2 marks, Multiple choice) – Elvesland is a country that has peculiar beliefs and practices. They express almost all their emotions by gifting flowers. For instance, if anyone…
  7. Question 7 (2 marks, Multiple choice) – Three husband-wife pairs are to be seated at a circular table that has six identical chairs. Seating arrangements are defined only by the relative…
  8. Question 8 (2 marks, Multiple choice) – Based only on the following passage, which one of the options can be inferred with certainty? When the congregation sang together, Apenyo would also…
  9. Question 9 (2 marks, Multiple choice) – If x satisfies the equation 48x=256, then x is equal to .
  10. Question 10 (2 marks, Multiple choice) – Consider a spherical globe rotating about an axis passing through its poles. There are three points P, Q, and R situated respectively on the equator,…
  11. Question 11 (1 mark, Multiple choice) – Let be a scalar field, and u be a vector field. Which of the following identities is true for div( u)?
  12. Question 12 (1 mark, Multiple choice) – Which of the following probability distribution functions (PDFs) has the mean greater than the median?
  13. Question 13 (1 mark, Multiple choice) – A remote village has exactly 1000 vehicles with sequential registration numbers starting from 1000. Out of the total vehicles, 30% are without…
  14. Question 14 (1 mark, Multiple choice) – A circular solid shaft of span L = 5 m is fixed at one end and free at the other end. A torque T = 100 kN.m is applied at the free end. The shear…
  15. Question 15 (1 mark, Multiple choice) – M20 concrete as per IS 456: 2000 refers to concrete with a design mix having .
  16. Question 16 (1 mark, Multiple choice) – When a simply-supported elastic beam of span L and flexural rigidity EI (E is the modulus of elasticity and I is the moment of inertia of the section)…
  17. Question 17 (1 mark, Multiple choice) – Muller-Breslau principle is used in analysis of structures for .
  18. Question 18 (1 mark, Multiple choice) – A standard penetration test (SPT) was carried out at a location by using a manually operated hammer dropping system with 50% efficiency. The recorded…
  19. Question 19 (1 mark, Multiple choice) – A vertical sheet pile wall is installed in an anisotropic soil having coefficient of horizontal permeability, k H and coefficient of vertical…
  20. Question 20 (1 mark, Multiple choice) – Identify the cross-drainage work in the figure.
  21. Question 21 (1 mark, Multiple choice) – Which one of the following options provides the correct match of the terms listed in Column-1 and Column-2? Column-1 Column-2 --- --- P: Horton…
  22. Question 22 (1 mark, Multiple choice) – In the context of Municipal Solid Waste Management, ‘Haul’ in ‘Hauled Container System operated in conventional mode’ includes the .
  23. Question 23 (1 mark, Multiple choice) – Which of the following is equal to the stopping sight distance?
  24. Question 24 (1 mark, Multiple choice) – The magnetic bearing of the sun for a location at noon is 183° 30′. If the sun is exactly on the geographic meridian at noon, the magnetic declination…
  25. Question 25 (1 mark, Multiple select) – For the matrix [A]=bmatrix1&-1&0\\-1&2&-1\\0&-1&1bmatrix, which of the following statements is/are TRUE?
  26. Question 26 (1 mark, Multiple select) – In the frame shown in the figure (not to scale), all four members (AB, BC, CD, and AD) have the same length and same constant flexural rigidity. All…
  27. Question 27 (1 mark, Multiple select) – With regard to the shear design of RCC beams, which of the following statements is/are TRUE?
  28. Question 28 (1 mark, Multiple select) – The reason(s) of the nonuniform elastic settlement profile below a flexible footing, resting on a cohesionless soil while subjected to uniform…
  29. Question 29 (1 mark, Multiple select) – Which of the following is/are NOT active disinfectant(s) in water treatment?
  30. Question 30 (1 mark, Multiple select) – As per the Indian Roads Congress guidelines (IRC 86: 2018), extra widening depends on which of the following parameters?
  31. Question 31 (1 mark, Numerical answer) – The steady-state temperature distribution in a square plate ABCD is governed by the 2-dimensional Laplace equation. The side AB is kept at a…
  32. Question 32 (1 mark, Numerical answer) – An unconfined compression strength test was conducted on a cohesive soil. The test specimen failed at an axial stress of 76 kPa. The undrained…
  33. Question 33 (1 mark, Numerical answer) – The pressure in a pipe at X is to be measured by an open manometer as shown in figure. Fluid A is oil with a specific gravity of 0.8 and Fluid B is…
  34. Question 34 (1 mark, Numerical answer) – For the elevation and temperature data given in the table, the existing lapse rate in the environment is °C/100 m (round off to two decimal places).…
  35. Question 35 (1 mark, Numerical answer) – If the size of the ground area is 6 km × 3 km and the corresponding photo size in the aerial photograph is 30 cm × 15 cm, then the scale of the…
  36. Question 36 (2 marks, Multiple choice) – The solution of the differential equation d3ydx3-5.5d2ydx2+9.5dydx-5y=0 is expressed as y=C 1e2.5x+C 2e x+C 3e x, where C 1,C 2,C 3,, are constants,…
  37. Question 37 (2 marks, Multiple choice) – Two vectors [2,1,0,3]T and [1,0,1,2]T belong to the null space of a 44 matrix of rank 2. Which one of the following vectors also belongs to the null…
  38. Question 38 (2 marks, Multiple choice) – Cholesky decomposition is carried out on the following square matrix [A]=bmatrix8&-5\\-5&a 22bmatrix. Let l ij and a ij be the (i,j)th elements of…
  39. Question 39 (2 marks, Multiple choice) – In a two-dimensional stress analysis, the state of stress at a point is shown in the figure. The values of length of PQ, QR, and RP are 4, 3, and 5…
  40. Question 40 (2 marks, Multiple choice) – Two plates are connected by fillet welds of size 10 mm and subjected to tension, as shown in the figure. The thickness of each plate is 12 mm. The…
  41. Question 41 (2 marks, Multiple choice) – In the given figure, Point O indicates the stress point of a soil element at initial non-hydrostatic stress condition. For the stress path (OP), which…
  42. Question 42 (2 marks, Multiple choice) – The figure shows a vertical retaining wall with backfill consisting of cohesive-frictional soil and a failure plane developed due to passive earth…
  43. Question 43 (2 marks, Multiple choice) – A compound symmetrical open channel section as shown in the figure has a maximum of critical depth(s).
  44. Question 44 (2 marks, Multiple choice) – The critical flow condition in a channel is given by . [Note: – kinetic energy correction factor; Q – discharge; A c – cross-sectional area of flow at…
  45. Question 45 (2 marks, Multiple choice) – Match the following air pollutants with the most appropriate adverse health effects: Air pollutant Health effect to human and/or test animal --- ---…
  46. Question 46 (2 marks, Multiple choice) – A delivery agent is at a location R. To deliver the order, she is instructed to travel to location P along straight-line paths of RC, CA, AB and BP of…
  47. Question 47 (2 marks, Multiple select) – Which of the following statements is/are TRUE?
  48. Question 48 (2 marks, Multiple select) – In the context of water and wastewater treatments, the correct statements are:
  49. Question 49 (2 marks, Multiple select) – Which of the following statements is/are TRUE for the aerobic composting of sewage sludge?
  50. Question 50 (2 marks, Multiple select) – The figure presents the time-space diagram for when the traffic on a highway is suddenly stopped for a certain time and then released. Which of the…
  51. Question 51 (2 marks, Multiple select) – Consider the Marshall method of mix design for bituminous mix. With the increase in bitumen content, which of the following statements is/are TRUE?
  52. Question 52 (2 marks, Numerical answer) – A 5 cm long metal rod AB was initially at a uniform temperature of T 0 °C. Thereafter, temperature at both the ends are maintained at 0 °C. Neglecting…
  53. Question 53 (2 marks, Numerical answer) – A beam is subjected to a system of coplanar forces as shown in the figure. The magnitude of vertical reaction at Support P is N (round off to one…
  54. Question 54 (2 marks, Numerical answer) – For the frame shown in the figure (not to scale), all members (AB, BC, CD, GB, and CH) have the same length, L and flexural rigidity, EI. The joints…
  55. Question 55 (2 marks, Numerical answer) – Consider the singly reinforced section of a cantilever concrete beam under bending, as shown in the figure (M25 grade concrete, Fe415 grade steel).…
  56. Question 56 (2 marks, Numerical answer) – A 2D thin plate with modulus of elasticity, E = 1.0 N/m2, and Poisson’s ratio, μ = 0.5, is in plane stress condition. The displacement field in the…
  57. Question 57 (2 marks, Numerical answer) – An idealised frame supports a load as shown in the figure. The horizontal component of the force transferred from the horizontal member PQ to the…
  58. Question 58 (2 marks, Numerical answer) – A square footing is to be designed to carry a column load of 500 kN which is resting on a soil stratum having the following average properties: bulk…
  59. Question 59 (2 marks, Numerical answer) – A circular pile of diameter 0.6 m and length 8 m was constructed in a cohesive soil stratum having the following properties: bulk unit weight = 19…
  60. Question 60 (2 marks, Numerical answer) – For the flow setup shown in the figure (not to scale), the hydraulic conductivities of the two soil samples, Soil 1 and Soil 2, are 10 mm/s and 1…
  61. Question 61 (2 marks, Numerical answer) – A consolidated drained (CD) triaxial test was carried out on a sand sample with the known effective shear strength parameters, c′ = 0 and ϕ′ = 30°. In…
  62. Question 62 (2 marks, Numerical answer) – A catchment may be idealized as a circle of radius 30 km. There are five rain gauges, one at the center of the catchment and four on the boundary…
  63. Question 63 (2 marks, Numerical answer) – The cross-section of a small river is sub-divided into seven segments of width 1.5 m each. The average depth, and velocity at different depths were…
  64. Question 64 (2 marks, Numerical answer) – The theoretical aerobic oxidation of biomass (C 5H 7O 2N) is given below: C 5H 7O 2N+5O 25CO 2+NH 3+2H 2O. The biochemical oxidation of biomass is…
  65. Question 65 (2 marks, Numerical answer) – A system of seven river segments is shown in the schematic diagram. The R i’s, Q i’s, and C i’s (i = 1 to 7) are the river segments, their…