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GATE 2024 CE (CE1) – Previous Year Questions with Solutions

All 65 questions of GATE 2024 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) – If '→' denotes increasing order of intensity, then the meaning of the words [simmer → seethe → smolder] is analogous to [break → raze → ]. Which one…
  2. Question 2 (1 mark, Multiple choice) – In a locality, the houses are numbered in the following way: The house-numbers on one side of a road are consecutive odd integers starting from 301,…
  3. Question 3 (1 mark, Multiple choice) – For positive integers p and q, with pq 1, (pq)p/q = p(p/q - 1). Then,
  4. Question 4 (1 mark, Multiple choice) – Which one of the given options is a possible value of x in the following sequence? 3, 7, 15, x, 63, 127, 255
  5. Question 5 (1 mark, Multiple choice) – On a given day, how many times will the second-hand and the minute-hand of a clock cross each other during the clock time 12:05:00 hours to 12:55:00…
  6. Question 6 (2 marks, Multiple choice) – In the given text, the blanks are numbered (i)−(iv). Select the best match for all the blanks. From the ancient Athenian arena to the modern Olympic…
  7. Question 7 (2 marks, Multiple choice) – Three distinct sets of indistinguishable twins are to be seated at a circular table that has 8 identical chairs. Unique seating arrangements are…
  8. Question 8 (2 marks, Multiple choice) – The chart given below compares the Installed Capacity (MW) of four power generation technologies, T1, T2, T3, and T4, and their Electricity Generation…
  9. Question 9 (2 marks, Multiple choice) – In the 4 × 4 array shown below, each cell of the first three columns has either a cross (X) or a number, as per the given rule. 1 1 2 --- --- --- ---…
  10. Question 10 (2 marks, Multiple choice) – During a half-moon phase, the Earth-Moon-Sun form a right triangle. If the Moon-Earth-Sun angle at this half-moon phase is measured to be 89.85°, the…
  11. Question 11 (1 mark, Multiple choice) – The smallest positive root of the equation x5 - 5x4 - 10x3 + 50x2 + 9x - 45 = 0 lies in the range
  12. Question 12 (1 mark, Multiple choice) – The second-order differential equation in an unknown function u: u(x, y) is defined as 2u x2 = 2. Assuming g: g(x), f: f(y), and h: h(y), the general…
  13. Question 13 (1 mark, Multiple choice) – The probability that a student passes only in Mathematics is 13. The probability that the student passes only in English is 49. The probability that…
  14. Question 14 (1 mark, Multiple choice) – The three-dimensional state of stress at a point is given by = pmatrix 10 & 0 & 0 \\ 0 & 40 & 0 \\ 0 & 0 & 0 pmatrix MPa. The maximum shear stress at…
  15. Question 15 (1 mark, Multiple choice) – Concrete of characteristic strength 30 MPa is required. If 40 specimens of concrete cubes are to be tested, the minimum number of specimens having at…
  16. Question 16 (1 mark, Multiple choice) – Consider the statements P and Q. P: Client's Preliminary Estimate is used for budgeting costs toward the end of planning and design phase. Q: Client's…
  17. Question 17 (1 mark, Multiple choice) – The following figure shows the arrangement of formwork for casting a cantilever RC beam. [Figure: a cantilever RC beam projecting from an RC column,…
  18. Question 18 (1 mark, Multiple choice) – A 2 m wide strip footing is founded at a depth of 1.5 m below the ground level in a homogeneous pure clay bed. The clay bed has unit cohesion of 40…
  19. Question 19 (1 mark, Multiple choice) – Consider the statements P and Q. P: Soil particles formed by mechanical weathering, and close to their origin are generally subrounded. Q: Activity of…
  20. Question 20 (1 mark, Multiple choice) – The number of degrees of freedom for a natural open channel flow with a mobile bed is
  21. Question 21 (1 mark, Multiple choice) – The following table gives various components of Municipal Solid Waste (MSW) and a list of treatment/separation techniques. Component of MSW…
  22. Question 22 (1 mark, Multiple choice) – A car is travelling at a speed of 60 km/hr on a section of a National Highway having a downward gradient of 2%. The driver of the car suddenly…
  23. Question 23 (1 mark, Multiple choice) – As per the International Civil Aviation Organization (ICAO), the basic runway length is increased by x (%) for every y (m) raise in elevation from the…
  24. Question 24 (1 mark, Multiple choice) – Which one of the following statements related to bitumen is FALSE?
  25. Question 25 (1 mark, Multiple choice) – If the number of sides resulting in a closed traverse is increased from three to four, the sum of the interior angles increases by
  26. Question 26 (1 mark, Multiple choice) – A surveyor observes a zenith angle of 93° 00' 00" during a theodolite survey. The corresponding vertical angle is
  27. Question 27 (1 mark, Multiple choice) – Among the following statements relating the fundamental lines of a transit theodolite, which one is CORRECT?
  28. Question 28 (1 mark, Multiple select) – For the following partial differential equation, x2f x2 + y2f y2 = x2 + y22, which of the following option(s) is/are CORRECT?
  29. Question 29 (1 mark, Multiple select) – The elements that DO NOT increase the strength of structural steel are
  30. Question 30 (1 mark, Multiple select) – Consider a balanced doubly-reinforced concrete section. If the material and other sectional properties remain unchanged, for which of the following…
  31. Question 31 (1 mark, Multiple select) – The primary air pollutant(s) is/are
  32. Question 32 (1 mark, Numerical answer) – Consider the data of f(x) given in the table. i 0 1 2 --- --- --- --- x i 1 2 3 f(x i) 0 0.3010 0.4771 The value of f(1.5) estimated using…
  33. Question 33 (1 mark, Numerical answer) – The plane frame shown in the figure has fixed support at joint A, hinge support at joint F, and roller support at joint I. In the figure, A to I…
  34. Question 34 (1 mark, Numerical answer) – An embankment is constructed with soil by maintaining the degree of saturation as 75% during compaction. The specific gravity of soil is 2.68 and the…
  35. Question 35 (1 mark, Numerical answer) – A 30 cm diameter well fully penetrates an unconfined aquifer of saturated thickness 20 m with hydraulic conductivity of 10 m/day. Under the steady…
  36. Question 36 (2 marks, Multiple choice) – What are the eigenvalues of the matrix bmatrix 2 & 1 & 1 \\ 1 & 4 & 1 \\ 1 & 1 & 2 bmatrix ?
  37. Question 37 (2 marks, Multiple choice) – A vector field p and a scalar field r are given by p = (2x2 - 3xy + z2)i + (2y2 - 3yz + x2)j + (2z2 - 3xz + x2)k r = 6x2 + 4y2 - z2 - 9xyz - 2xy + 3xz…
  38. Question 38 (2 marks, Multiple choice) – Find the correct match between the plane stress states and the Mohr's circles.
  39. Question 39 (2 marks, Multiple choice) – The beam shown in the figure is subjected to a uniformly distributed downward load of intensity q between supports A and B. [Figure: a beam…
  40. Question 40 (2 marks, Multiple choice) – A homogeneous shaft PQR with fixed supports at both ends is subjected to a torsional moment T at point Q, as shown in the figure. The polar moments of…
  41. Question 41 (2 marks, Multiple choice) – A vertical smooth rigid retaining wall is supporting horizontal ground with dry cohesionless backfill having a friction angle of 30°. The inclinations…
  42. Question 42 (2 marks, Multiple choice) – A flow velocity field V: V(x, y) for a fluid is represented by V = 3i + (5x)j In the context of the fluid and the flow, which one of the following…
  43. Question 43 (2 marks, Multiple choice) – For assessing the compliance with the emissions standards of incineration plants, a correction needs to be applied to the measured concentrations of…
  44. Question 44 (2 marks, Multiple choice) – The free mean speed is 60 km/hr on a given road. The average space headway at jam density on this road is 8 m. For a linear speed-density…
  45. Question 45 (2 marks, Multiple choice) – A map is prepared with a scale of 1: 1000 and a contour interval of 1 m. If the distance between two adjacent contours on the map is 10 mm, the slope…
  46. Question 46 (2 marks, Multiple select) – Which of the following statement(s) is/are CORRECT?
  47. Question 47 (2 marks, Numerical answer) – The return period of a large earthquake for a given region is 200 years. Assuming that earthquake occurrence follows Poisson's distribution, the…
  48. Question 48 (2 marks, Numerical answer) – A 2 m × 2 m tank of 3 m height has inflow, outflow and stirring mechanisms. Initially, the tank was half-filled with fresh water. At t = 0, an inflow…
  49. Question 49 (2 marks, Numerical answer) – The plane truss shown in the figure has 13 joints and 22 members. The truss is made of a homogeneous, prismatic, linearly elastic material. All…
  50. Question 50 (2 marks, Numerical answer) – An inverted T-shaped concrete beam (B1) in the figure, with centroidal axis X − X, is subjected to an effective prestressing force of 1000 kN acting…
  51. Question 51 (2 marks, Numerical answer) – The initial cost of an equipment is Rs. 1,00,000. Its salvage value at the end of accounting life of 5 years is Rs. 10,000. The difference in…
  52. Question 52 (2 marks, Numerical answer) – A slab panel with an effective depth of 250 mm is reinforced with 0.2% main reinforcement using 8 mm diameter steel bars. The uniform center-to-center…
  53. Question 53 (2 marks, Numerical answer) – The total primary consolidation settlement (S c) of a building constructed on a 10 m thick saturated clay layer is estimated to be 50 mm. After 300…
  54. Question 54 (2 marks, Numerical answer) – An infinite slope is made up of cohesionless soil with seepage parallel to and up to the sloping surface. The angle of slope is 30° with respect to…
  55. Question 55 (2 marks, Numerical answer) – A soil sample was consolidated at a cell pressure of 20 kPa and a back pressure of 10 kPa for 24 hours during a consolidated undrained (CU) triaxial…
  56. Question 56 (2 marks, Numerical answer) – The ordinates of a 1-hour unit hydrograph (UH) are given below. Time (hours) 0 1 2 3 4 5 --- --- --- --- --- --- --- Ordinates of 1-hour UH (m3/s) 0…
  57. Question 57 (2 marks, Numerical answer) – A standard round bottom triangular canal section as shown in the figure has a bed slope of 1 in 200. Consider the Chezy's coefficient as 150 m1/2/s.…
  58. Question 58 (2 marks, Numerical answer) – A spillway has unit discharge of 7.5 m3/s/m. The flow depth at the downstream horizontal apron is 0.5 m. The tail water depth (in meters) required to…
  59. Question 59 (2 marks, Numerical answer) – A 5 m × 5 m closed tank of 10 m height contains water and oil, and is connected to an overhead water reservoir as shown in the figure. Use w = 10…
  60. Question 60 (2 marks, Numerical answer) – Activated carbon is used to remove a pollutant from wastewater in a mixed batch reactor, which follows first-order reaction kinetics. At a reaction…
  61. Question 61 (2 marks, Numerical answer) – A water treatment plant treats 25 MLD water with a natural alkalinity of 4.0 mg/L (as CaCO 3). It is estimated that, during coagulation of this water,…
  62. Question 62 (2 marks, Numerical answer) – The number of trains and their corresponding speeds for a curved Broad Gauge section with 437 m radius, are • 20 trains travel at a speed of 40 km/hr…
  63. Question 63 (2 marks, Numerical answer) – The figure presents the trajectories of six vehicles within a time-space domain. The number in the parentheses represents unique identification of…
  64. Question 64 (2 marks, Numerical answer) – The following data is obtained from an axle load survey at a site: Average rear axle load = 12000 kg Number of commercial vehicles = 800 per day The…
  65. Question 65 (2 marks, Numerical answer) – A bird is resting on a point P at a height of 8 m above the Mean Sea Level (MSL). Upon hearing a loud noise, the bird flies parallel to the ground…