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GATE 2022 CE (CE2) – Previous Year Questions with Solutions

All 65 questions of GATE 2022 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 movie was funny and I .
  2. Question 2 (1 mark, Multiple choice) – x:y:z=12:13:14. What is (x+z-y)/y?
  3. Question 3 (1 mark, Multiple choice) – The numerator and denominator of 3/4 are increased by a positive integer x, and those of 15/17 are decreased by x. The resulting fractions are equal.…
  4. Question 4 (1 mark, Multiple choice) – A survey of 450 students about their subjects of interest resulted in the following outcome. • 150 students are interested in Mathematics. • 200…
  5. Question 5 (1 mark, Multiple choice) – For the picture shown above, which one of the following is the correct picture representing reflection with respect to the mirror shown as the dotted…
  6. Question 6 (2 marks, Multiple choice) – In the last few years, several new shopping malls were opened in the city. The total number of visitors in the malls is impressive. However, the total…
  7. Question 7 (2 marks, Multiple choice) – In a partnership business the monthly investment by three friends for the first six months is in the ratio 3: 4: 5. After six months, they had to…
  8. Question 8 (2 marks, Multiple choice) – Consider L1: 2x-3y=5; L2: 3x+2y=8; L3: 4x-6y=5; L4: 6x-9y=6. Which statement is correct?
  9. Question 9 (2 marks, Multiple choice) – Given below are two statements and four conclusions drawn based on the statements. Statement 1: Some soaps are clean. Statement 2: All clean objects…
  10. Question 10 (2 marks, Multiple choice) – An ant walks in a straight line on a plane leaving behind a trace of its movement. The initial position of the ant is at point P facing east. The ant…
  11. Question 11 (1 mark, Multiple choice) – f(x,y) satisfies 2 f=0 on the unit circular domain centred at (0,0), with boundary value 3. Find f(0,0).
  12. Question 12 (1 mark, Multiple choice) – Evaluate (x-x22+x33-x44+)dx.
  13. Question 13 (1 mark, Multiple choice) – For a linear elastic and isotropic material, the correct relationship among Young’s modulus of elasticity (E), Poisson’s ratio (ν ), and shear modulus…
  14. Question 14 (1 mark, Multiple choice) – Read the following statements relating to flexure of reinforced concrete beams: I. In over-reinforced sections, the failure strain in concrete reaches…
  15. Question 15 (1 mark, Multiple choice) – Match cement compounds (i) C₃S, (ii) C₂S, (iii) C₃A with properties: Label Property --- --- P Early age strength Q Later age strength R Flash setting…
  16. Question 16 (1 mark, Multiple choice) – Consider a beam PQ fixed at P, hinged at Q, and subjected to a load F as shown in figure (not drawn to scale). The static and kinematic degrees of…
  17. Question 17 (1 mark, Multiple choice) – Read the following statements: (P) While designing a shallow footing in sandy soil, monsoon season is considered for critical design in terms of…
  18. Question 18 (1 mark, Multiple choice) – The figure shows stresses with z> x, compression positive. Let principal stresses be 1, 3. Find the angle between the major principal stress plane and…
  19. Question 19 (1 mark, Multiple choice) – Match P: Horton equation, Q: Penman method, R: Chezy formula, S: Lacey theory, T: Dicken formula with I: design of alluvial channel; II: maximum flood…
  20. Question 20 (1 mark, Multiple choice) – In a certain month, the reference crop evapotranspiration at a location is 6 mm/day. If the crop coefficient and soil coefficient are 1.2 and 0.8,…
  21. Question 21 (1 mark, Multiple choice) – The dimension of dynamic viscosity is:
  22. Question 22 (1 mark, Multiple choice) – A process equipment emits 5 kg/h of volatile organic compounds (VOCs). If a hood placed over the process equipment captures 95% of the VOCs, then the…
  23. Question 23 (1 mark, Multiple choice) – Match attributes P: average city temperature (°C), Q: city name, R: population density, S: ease-of-business ranking with scales I: interval, II:…
  24. Question 24 (1 mark, Multiple choice) – If the magnetic bearing of the Sun at a place at noon is S 2° E, the magnetic declination (in degrees) at that place is
  25. Question 25 (1 mark, Multiple select) – P and Q are two square matrices of the same order. Which of the following statement(s) is/are correct?
  26. Question 26 (1 mark, Multiple select) – In a solid waste handling facility, the moisture contents (MC) of food waste, paper waste, and glass waste were found to be MCf, MCp, and MCg,…
  27. Question 27 (1 mark, Multiple select) – To design an optimum municipal solid waste collection route, which of the following is/are NOT desired:
  28. Question 28 (1 mark, Multiple select) – For a traffic stream, v is the space mean speed, k is the density, q is the flow, vf is the free flow speed, and kj is the jam density. Assume that…
  29. Question 29 (1 mark, Numerical answer) – The error in measuring the radius of a 5 cm circular rod was 0.2%. If the cross-sectional area of the rod was calculated using this measurement, then…
  30. Question 30 (1 mark, Numerical answer) – =bmatrix1&1\\1&-1bmatrix. Given P=tr(8) and Q=tr(11), find P+Q (integer).
  31. Question 31 (1 mark, Numerical answer) – The inside diameter of a sampler tube is 50 mm. The inside diameter of the cutting edge is kept such that the Inside Clearance Ratio (ICR) is 1.0 % to…
  32. Question 32 (1 mark, Numerical answer) – A concentrically loaded isolated square footing of size 2 m × 2 m carries a concentrated vertical load of 1000 kN. Considering Boussinesq’s theory of…
  33. Question 33 (1 mark, Numerical answer) – In a triaxial unconsolidated undrained (UU) test on a saturated clay sample, the cell pressure was 100 kPa. If the deviatoric stress at failure was…
  34. Question 34 (1 mark, Numerical answer) – A flood-control structure has life n years and design flood return period T years. For T=n and n, find hydrologic failure risk (%) to one decimal.
  35. Question 35 (1 mark, Numerical answer) – The base length of the runway at the mean sea level (MSL) is 1500 m. If the runway is located at an altitude of 300 m above the MSL, the actual length…
  36. Question 36 (2 marks, Multiple choice) – f(x)=x3-6x2+11x-6 on 1 x3. I: f is zero at x=1,3. II: one local maximum exists. III: f>0 throughout. IV: one local minimum exists. Choose the correct…
  37. Question 37 (2 marks, Multiple choice) – An undamped spring-mass system with mass m and spring stiffness k is shown in the figure. The natural frequency and natural period of this system are…
  38. Question 38 (2 marks, Multiple choice) – For the square steel beam cross-section shown in the figure, the shape factor about z−z axis is S and the plastic moment capacity is MP. Consider…
  39. Question 39 (2 marks, Multiple choice) – A post-tensioned concrete member of span 15 m and cross-section of 450 mm 450 mm × is prestressed with three steel tendons, each of cross-sectional…
  40. Question 40 (2 marks, Multiple choice) – Match P: volumetric strain of loose sand during drained triaxial compression; Q: excess pore pressure of loose sand during undrained compression; R:…
  41. Question 41 (2 marks, Multiple choice) – A saturated soil lies under water height h₁, with submerged unit weight γ′. A is its top, B is h₂ below A, C is h₃ below B. The valve is closed as…
  42. Question 42 (2 marks, Multiple choice) – A 100 mg of HNO3 (strong acid) is added to water, bringing the final volume to 1.0 liter. Consider the atomic weights of H, N, and O, as 1 g/mol, 14…
  43. Question 43 (2 marks, Multiple choice) – In a city, the chemical formula of biodegradable fraction of municipal solid waste (MSW) is C100H250O80N. The waste has to be treated by…
  44. Question 44 (2 marks, Multiple choice) – A single-lane highway has a traffic density of 40 vehicles/km. If the time-mean speed and space-mean speed are 40 kmph and 30 kmph, respectively, the…
  45. Question 45 (2 marks, Multiple select) – Let y be a nonzero 2022×1 vector. Which statements are true?
  46. Question 46 (2 marks, Multiple select) – Which of the following statement(s) is/are correct?
  47. Question 47 (2 marks, Multiple select) – Water flows in a horizontal frictionless rectangular channel over a smooth hump whose height increases until choking. Depth on hump is y₂, upstream…
  48. Question 48 (2 marks, Numerical answer) – s t=Ds xx on 0 x L, with s x=0 at both ends. Initially s=s₀ on 0≤x≤0.4L and zero elsewhere (figure). D=0.1 m²/s, s₀=5 μmol/m, L=10 m. Find steady…
  49. Question 49 (2 marks, Numerical answer) – A pair of six-faced dice is rolled thrice. The probability that the sum of the outcomes in each roll equals 4 in exactly two of the three attempts is…
  50. Question 50 (2 marks, Numerical answer) – Two collinear rods HI and IJ, each length b=2 m, lie between fixed ends. Their axial rigidities are 2AE and AE, with AE=10⁶ N. Both have α=10⁻⁶ °C⁻¹.…
  51. Question 51 (2 marks, Numerical answer) – Two cantilevers UV and WX, each length 2a, have fixed ends U and X. Their rigidities are EI and 2EI. A vertical spring joins free ends V,W. P=100 kN…
  52. Question 52 (2 marks, Numerical answer) – A uniform rod KJ of weight w shown in the figure rests against a frictionless vertical wall at the point K and a rough horizontal surface at point J.…
  53. Question 53 (2 marks, Numerical answer) – Activities: A (10 days, none); B (12, none); C (5, after A); D (14, after B); E (10, after B and C). Find total float of E (integer days).
  54. Question 54 (2 marks, Numerical answer) – Sixteen piles form a 4×4 grid, spacing s=3 m, diameter d=1 m, embedment 20 m, each capacity 1000 kN. Given g=1-90(n-1)m+(m-1)nmn, =-1(d/s) in degrees,…
  55. Question 55 (2 marks, Numerical answer) – A saturated compressible clay layer of thickness h is sandwiched between two sand layers, as shown in the figure. Initially, the total vertical stress…
  56. Question 56 (2 marks, Numerical answer) – A hydraulic jump takes place in a 6 m wide rectangular channel at a point where the upstream depth is 0.5 m (just before the jump). If the discharge…
  57. Question 57 (2 marks, Numerical answer) – A pump with an efficiency of 80% is used to draw groundwater from a well for irrigating a flat field of area 108 hectares. The base period and delta…
  58. Question 58 (2 marks, Numerical answer) – Two discrete spherical particles (P and Q) of equal mass density are independently released in water. Particle P and particle Q have diameters of 0.5…
  59. Question 59 (2 marks, Numerical answer) – At a municipal waste handling facility, 30 metric ton mixture of food waste, yard waste, and paper waste was available. The moisture content of this…
  60. Question 60 (2 marks, Numerical answer) – A sewage treatment plant receives sewage at a flow rate of 5000 m3/day. The total suspended solids (TSS) concentration in the sewage at the inlet of…
  61. Question 61 (2 marks, Numerical answer) – A sample of air analyzed at 25 °C and 1 atm pressure is reported to contain 0.04 ppm of SO2. Atomic mass of S = 32, O = 16. The equivalent SO2…
  62. Question 62 (2 marks, Numerical answer) – A parabolic vertical crest curve connects two road segments with grades +1.0% and −2.0%. If a 200 m stopping sight distance is needed for a driver at…
  63. Question 63 (2 marks, Numerical answer) – Assuming that traffic on a highway obeys the Greenshields model, the speed of a shockwave between two traffic streams (P) and (Q) as shown in the…
  64. Question 64 (2 marks, Numerical answer) – It is given that an aggregate mix has 260 grams of coarse aggregates and 240 grams of fine aggregates. The specific gravities of the coarse and fine…
  65. Question 65 (2 marks, Numerical answer) – The lane configuration with lane volumes in vehicles per hour of a four-arm signalized intersection is shown in the figure. There are only two phases:…