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GATE 2022 CE (CE1) – Previous Year Questions with Solutions

All 65 questions of GATE 2022 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) – You should when to say .
  2. Question 2 (1 mark, Multiple choice) – Two straight lines pass through the origin (0,0). One passes through (1,3) and the other through (1,2). What is the area enclosed between the straight…
  3. Question 3 (1 mark, Multiple choice) – If p:q=1:2, q:r=4:3, r:s=4:5, and u is 50% more than s, what is the ratio p:u?
  4. Question 4 (1 mark, Multiple choice) – Given the statements: • P is the sister of Q. • Q is the husband of R. • R is the mother of S. • T is the husband of P. Based on the above…
  5. Question 5 (1 mark, Multiple choice) – In the following diagram, the point R is the center of the circle. The lines PQ and ZV are tangential to the circle. The relation among the areas of…
  6. Question 6 (2 marks, Multiple choice) – Healthy eating is a critical component of healthy aging. When should one start eating healthy? It turns out that it is never too early. For example,…
  7. Question 7 (2 marks, Multiple choice) – P invested ₹5000 per month for 6 months of a year and Q invested ₹x per month for 8 months in a partnership. Profit is shared in proportion to total…
  8. Question 8 (2 marks, Multiple choice) – The above frequency chart shows the frequency distribution of marks obtained by a set of students in an exam. From the data presented above, which one…
  9. Question 9 (2 marks, Multiple choice) – In the square grid shown on the left, a person standing at P2 position is required to move to P5 position. The only movement allowed for a step…
  10. Question 10 (2 marks, Multiple choice) – Consider a cube made by folding a single sheet of paper of appropriate shape. The interior faces of the cube are all blank. However, the exterior…
  11. Question 11 (1 mark, Multiple choice) – Consider z=(y+it)+(y-it), where z,y,t are variables and i=-1. The partial differential equation derived from this expression is
  12. Question 12 (1 mark, Multiple choice) – For the equation d3ydx3+x(dydx)3/2+x2y=0, the correct description is
  13. Question 13 (1 mark, Multiple choice) – The hoop stress at a point on the surface of a thin cylindrical pressure vessel is computed to be 30.0 MPa. The value of maximum shear stress at this…
  14. Question 14 (1 mark, Multiple choice) – In the context of elastic theory of reinforced concrete, the modular ratio is defined as the ratio of
  15. Question 15 (1 mark, Multiple choice) – Which of the following equations is correct for the Pozzolanic reaction?
  16. Question 16 (1 mark, Multiple choice) – Consider the cross-section of a beam made up of thin uniform elements having thickness t(t≪a) shown in the figure. The (x, y) coordinates of the…
  17. Question 17 (1 mark, Multiple choice) – Four different soils are classified as CH, ML, SP, and SW, as per the Unified Soil Classification System. Which one of the following options correctly…
  18. Question 18 (1 mark, Multiple choice) – Let v and h denote effective vertical and horizontal stress. Which condition must be satisfied at Rankine passive failure?
  19. Question 19 (1 mark, Multiple choice) – With respect to fluid flow, match Column X with Column Y. Column X Column Y --- --- P: Viscosity I: Mach number Q: Gravity II: Reynolds number R:…
  20. Question 20 (1 mark, Multiple choice) – Let represent soil suction head and K hydraulic conductivity. If moisture content increases, which statement is TRUE?
  21. Question 21 (1 mark, Multiple choice) – A rectangular channel with Gradually Varied Flow (GVF) has a changing bed slope. If the change is from a steeper slope to a steep slope, the resulting…
  22. Question 22 (1 mark, Multiple choice) – The total hardness in raw water is 500 milligram per liter as CaCO3. The total hardness of this raw water, expressed in milligram equivalent per…
  23. Question 23 (1 mark, Multiple choice) – An aerial photograph is taken from a flight at a height of 3.5 km above mean sea level, using a camera of focal length 152 mm. If the average ground…
  24. Question 24 (1 mark, Multiple choice) – A line between stations P and Q laid on a slope of 1 in 5 was measured as 350 m using a 50 m tape. The tape is known to be short by 0.1 m. The…
  25. Question 25 (1 mark, Multiple select) – M=bmatrix1&3\\4&2bmatrix has eigenvalues 5 and −2. For Q=M3-4M2-2M, which are eigenvalues of Q?
  26. Question 26 (1 mark, Multiple select) – For wastewater coming from a wood pulping industry, Chemical Oxygen Demand (COD) and 5-day Biochemical Oxygen Demand (BOD5) were determined. For this…
  27. Question 27 (1 mark, Multiple select) – Which of the following process(es) can be used for conversion of salt water into fresh water?
  28. Question 28 (1 mark, Multiple select) – A horizontal curve is to be designed in a region with limited space. Which of the following measure(s) can be used to decrease the radius of…
  29. Question 29 (1 mark, Numerical answer) – For initial guess x 1=1, use x n+1=12(x n+P/x n). For P=2 and P=3, x₅ rounds to 1.414 and 1.732. If P=10, what is x₅ (three decimals)?
  30. Question 30 (1 mark, Numerical answer) – For f(x)= n=0f n nx=4x, find f 4+f 5 (three decimals).
  31. Question 31 (1 mark, Numerical answer) – An uncompacted heap of soil has a volume of 10000 m3 and void ratio of 1. If the soil is compacted to a volume of 7500 m3, then the corresponding void…
  32. Question 32 (1 mark, Numerical answer) – A concentrated vertical load of 3000 kN is applied on a horizontal ground surface. Points P and Q are at depths 1 m and 2 m below the ground,…
  33. Question 33 (1 mark, Numerical answer) – At a site, Static Cone Penetration Test was carried out. The measured point (tip) resistance qc was 1000 kPa at a certain depth. The friction ratio…
  34. Question 34 (1 mark, Numerical answer) – During a particular stage of the growth of a crop, the consumptive use of water is 2.8 mm/day. The amount of water available in the soil is 50 % of…
  35. Question 35 (1 mark, Numerical answer) – The bearing of a survey line is N31°17′W. Its azimuth observed from north is degrees (two decimals).
  36. Question 36 (2 marks, Multiple choice) – The Cartesian coordinates of a point P in a right-handed coordinate system are (1, 1, 1). The transformed coordinates of P due to a 45° clockwise…
  37. Question 37 (2 marks, Multiple choice) – A semi-circular bar of radius R m, in a vertical plane, is fixed at the end G, as shown in the figure. A horizontal load of magnitude P kN is applied…
  38. Question 38 (2 marks, Multiple choice) – A weld is used for joining an angle section ISA 100 mm × 100 mm × 10 mm to a gusset plate of thickness 15 mm to transmit a tensile load. The…
  39. Question 39 (2 marks, Multiple choice) – The activities are: Activity Duration (days) Depends on --- --- --- P 10 — Q 12 — R 5 P S 10 Q T 10 P, Q Which combination is correct?
  40. Question 40 (2 marks, Multiple choice) – Match the states and conditions: Group I Group II --- --- 1: Normally consolidated soil P: Sensitivity >16 2: Quick clay Q: Dilation angle =0 3: Sand…
  41. Question 41 (2 marks, Multiple choice) – As per Rankine’s theory, failure planes are inclined at 45+/2 to the minor-principal-stress direction. For which state is this correct?
  42. Question 42 (2 marks, Multiple choice) – Henry’s law constant for transferring O2 from air into water, at room temperature, is 1.3 mmol liter-atm . Given that the partial pressure of O2 in…
  43. Question 43 (2 marks, Multiple choice) – In a water sample, the concentrations of Ca2+, Mg2+ and HCO3- are 100 mg/L, 36 mg/L and 122 mg/L, respectively. The atomic masses of various elements…
  44. Question 44 (2 marks, Multiple choice) – Consider the four points P, Q, R, and S shown in the Greenshields fundamental speed-flow diagram. Denote their corresponding traffic densities by kP,…
  45. Question 45 (2 marks, Multiple select) – Let f(x)=\3-x,x-1\. Which statements are TRUE?
  46. Question 46 (2 marks, Multiple select) – A horizontal force of P kN is applied to a homogeneous body of weight 25 kN, as shown in the figure. The coefficient of friction between the body and…
  47. Question 47 (2 marks, Multiple select) – In the context of cross-drainage structures, the correct statement(s) regarding the relative positions of a natural drain (stream/river) and an…
  48. Question 48 (2 marks, Numerical answer) – For dy/dx=4(x+2)-y, with y(1)=3, find y(1.4) by Euler’s method with step 0.2 (one decimal).
  49. Question 49 (2 marks, Numerical answer) – For observations x=(5,2,4,3), y=(16,10,13,12), the fitted model is y=a+bx with a=6.1. Find b (one decimal).
  50. Question 50 (2 marks, Numerical answer) – The plane truss shown in the figure is subjected to an external force P. It is given that P = 70 kN, a = 2 m, and b = 3 m. The magnitude (absolute…
  51. Question 51 (2 marks, Numerical answer) – Consider the linearly elastic plane frame shown in the figure. Members HF, FK and FG are welded together at joint F. Joints K, G and H are fixed…
  52. Question 52 (2 marks, Numerical answer) – Consider a simply supported beam PQ as shown in the figure. A truck having 100 kN on the front axle and 200 kN on the rear axle, moves from left to…
  53. Question 53 (2 marks, Numerical answer) – A reinforced concrete beam with rectangular cross section (width = 300 mm, effective depth = 580 mm) is made of M30 grade concrete. It has 1%…
  54. Question 54 (2 marks, Numerical answer) – A square concrete pile of 10 m length is driven into a deep layer of uniform homogeneous clay. Average unconfined compressive strength of the clay,…
  55. Question 55 (2 marks, Numerical answer) – A raft foundation of 30 m × 25 m is proposed to be constructed at a depth of 8 m in a sand layer. A 25 m thick saturated clay layer exists 2 m below…
  56. Question 56 (2 marks, Numerical answer) – A two-hour storm gives 3 cm uniform excess rainfall. At times 0,1,2,3,4,5,6,7 h, streamflows are 10,16,34,40,31,25,16,10 m³/s. With baseflow 10 m³/s,…
  57. Question 57 (2 marks, Numerical answer) – Two reservoirs are connected by two parallel pipes of equal length and of diameters 20 cm and 10 cm, as shown in the figure (not drawn to scale). When…
  58. Question 58 (2 marks, Numerical answer) – Depth of water flowing in a 3 m wide rectangular channel is 2 m. The channel carries a discharge of 12 m3/s. Take g = 9.8 m/s2. The bed width (in m)…
  59. Question 59 (2 marks, Numerical answer) – A wastewater sample contains ammonia at 34 mg NH₃/L and nitrate at 6.2 mg NO₃⁻/L. Atomic weights: N=14, H=1, O=16 g/mol. Find total nitrogen (mg N/L,…
  60. Question 60 (2 marks, Numerical answer) – A 2 % sewage sample (in distilled water) was incubated for 3 days at 27 °C temperature. After incubation, a dissolved oxygen depletion of 10 mg/L was…
  61. Question 61 (2 marks, Numerical answer) – A water treatment plant has a sedimentation basin of depth 3 m, width 5 m, and length 40 m. The water inflow rate is 500 m3/h. The removal fraction of…
  62. Question 62 (2 marks, Numerical answer) – A two-phase signalized intersection is designed with a cycle time of 100 s. The amber and red times for each phase are 4 s and 50 s, respectively. If…
  63. Question 63 (2 marks, Numerical answer) – At a traffic intersection, cars and buses arrive randomly according to independent Poisson processes at an average rate of 4 vehicles per hour and 2…
  64. Question 64 (2 marks, Numerical answer) – The vehicle counts in six successive 10-minute intervals are 10,11,12,15,13,11. Find the peak-hour factor for 10-minute subintervals (one decimal).
  65. Question 65 (2 marks, Numerical answer) – For the dual-wheel carrying assembly shown in the figure, P is the load on each wheel, a is the radius of the contact area of the wheel, s is the…