The GATE Grind

GATE 2017 CE (CE2) – Previous Year Questions with Solutions

All 65 questions of GATE 2017 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 event would have been successful if you able to come.
  2. Question 2 (1 mark, Multiple choice) – “There was no doubt that their work was thorough.” Which word is closest in meaning to thorough?
  3. Question 3 (1 mark, Multiple choice) – Four cards lie on a table, each with a number on one side and a colour on the other. Visible faces are 2, 3, red and blue. Proposition: If a card has…
  4. Question 4 (1 mark, Multiple choice) – Find x when 81(16/25)x+2(3/5)2x+4=144.
  5. Question 5 (1 mark, Multiple choice) – Two dice are thrown simultaneously. The probability that the product of the numbers on their top faces is a perfect square is .
  6. Question 6 (2 marks, Multiple choice) – Bhaichung observes people entering and leaving a car-service centre with a single service window. People invariably come out in the order they went…
  7. Question 7 (2 marks, Multiple choice) – A map shows elevations of Darjeeling, Gangtok, Kalimpong, Pelling and Siliguri. Kalimpong is below Gangtok; Pelling is below Gangtok but above…
  8. Question 8 (2 marks, Multiple choice) – P, Q, R, S, T and U sit around a circular table. R is two places to the right of Q. P is three places to the left of R. S sits opposite U. If P and U…
  9. Question 9 (2 marks, Multiple choice) – Budhan covers 19 km in 2 hours, cycling one fourth of the time and walking the rest. Next day he covers 26 km in 2 hours, cycling half the time and…
  10. Question 10 (2 marks, Multiple choice) – Each point on the graph denotes a lift halt lasting 1 minute during a one-hour period. Consider: (i) The lift never moves directly from one non-ground…
  11. Question 11 (1 mark, Multiple choice) – Consider 3x 1+2x 2=c 1 and 4x 1+x 2=c 2, where c 1,c 2 are constants. The characteristic equation of the coefficient matrix is .
  12. Question 12 (1 mark, Multiple choice) – Let w=f(x,y), where x and y are functions of t. According to the chain rule, dw/dt equals .
  13. Question 13 (1 mark, Multiple choice) – The scope of construction work is well defined with all drawings, specifications, quantities and estimates. Which contract would be most preferred?
  14. Question 14 (1 mark, Multiple choice) – Let G be soil-solids specific gravity, w water content, w unit weight of water and d dry unit weight of soil. The zero-air-voids line in a compaction…
  15. Question 15 (1 mark, Multiple choice) – Consider pore-pressure parameters A and B: P. A always lies between 0 and 1.0. Q. A can be less than 0 or greater than 1.0. R. B always lies between 0…
  16. Question 16 (1 mark, MTA) – A rigid retaining wall has partially submerged cohesionless backfill with surcharge. Which diagram most closely represents Rankine active…
  17. Question 17 (1 mark, Multiple choice) – A centrifugal pump has impeller speed N rpm, discharge Q m³/s and total head H m. Its specific speed is .
  18. Question 18 (1 mark, Multiple choice) – According to the Noise Pollution (Regulation and Control) Rules 2000 of India referred to in this paper, the daytime residential-zone noise limit in…
  19. Question 19 (1 mark, Multiple choice) – Elevation and temperature observations are (10 m, 15.5°C), (60 m, 15.0°C) and (130 m, 14.3°C). The atmosphere is classified as .
  20. Question 20 (1 mark, Multiple choice) – The most important species involved in organic-matter degradation in the activated-sludge process are .
  21. Question 21 (1 mark, Multiple choice) – For a broad-gauge railway on a horizontal curve of radius R m, the equilibrium cant e for speed V km/h is .
  22. Question 22 (1 mark, Multiple choice) – Roundabout safety and efficiency can be increased, respectively, by .
  23. Question 23 (1 mark, Multiple choice) – The orientation method used when a plane table occupies a point not yet located on the map is .
  24. Question 24 (1 mark, Multiple choice) – If axial and shear deformations in the frame members shown are negligible, the reduction in kinematic indeterminacy is .
  25. Question 25 (1 mark, Multiple choice) – Characteristic strength is defined here as the strength below which not more than 50% of test results are expected to fall. With standard deviation 4…
  26. Question 26 (1 mark, Multiple choice) – A 10 mm × 10 mm element is in plane strain. Its exaggerated deformed shape is shown. If engineering shear strain xy=0.001k, then k is .
  27. Question 27 (1 mark, Multiple choice) – A 0.3 m × 0.3 m plate-load test on clay gives ultimate bearing capacity 180 kPa. The ultimate bearing capacity of a 2 m wide footing is kPa.
  28. Question 28 (1 mark, Numerical answer) – Project completion time is normally distributed with mean 200 days and standard deviation 6.1 days. The maximum completion time for 95% probability is…
  29. Question 29 (1 mark, Numerical answer) – The divergence of V=x2 i+2y3 j+z4 k at (1,2,3) is .
  30. Question 30 (1 mark, Numerical answer) – A fair coin is tossed three times and gives heads each time. The probability that the next toss gives heads, to one decimal place, is .
  31. Question 31 (1 mark, Numerical answer) – A sheet pile penetrates 12 m into a homogeneous isotropic soil with hydraulic conductivity 10-6 m/s. Head difference across the pile is 4 m. The flow…
  32. Question 32 (1 mark, Numerical answer) – For a parabolic vertical curve, the horizontal distance between the point of vertical intersection and point of vertical curvature is 100 m. The curve…
  33. Question 33 (1 mark, Numerical answer) – Rainfall intensity is 3.5 cm/h and φ-index is 1.5 cm/h. Effective rainfall intensity is cm/h.
  34. Question 34 (1 mark, Numerical answer) – Horton infiltration is f=c 1+c 2e-kt. Initial and long-term rates are 200 and 25 mm/h. At t = 1 h the rate is 90 mm/h. The decay constant k, to two…
  35. Question 35 (1 mark, Numerical answer) – A hill road has gradient 6% and horizontal-curve radius 50 m. Grade compensation, to two decimal places, is %.
  36. Question 36 (2 marks, Multiple choice) – At which point does the tangent to y=x x make 45° with the x-axis?
  37. Question 37 (2 marks, Multiple choice) – Evaluate I= 01(-1x)21-x2\,dx.
  38. Question 38 (2 marks, Multiple choice) – Given A=bmatrix1&5\\6&2bmatrix, B=bmatrix3&7\\8&4bmatrix, find ABT.
  39. Question 39 (2 marks, Multiple choice) – For y-4y+3y=2t-3t2, the particular solution is .
  40. Question 40 (2 marks, Multiple choice) – Match tests/apparatus P. Le Chatelier, Q. Vee-Bee, R. Blaine air permeability, S. Vicat with properties 1. Soundness of ordinary Portland cement…
  41. Question 41 (2 marks, Multiple choice) – The two prismatic beams shown have the same flexural rigidity 1000 kN m². If their midspan deflections are 1, 2, the correct comparison is .
  42. Question 42 (2 marks, Multiple choice) – Three prismatic cantilevers have clamped supports P, Q, R and loads shown. Given E=2.5104 MPa and I=8108 mm⁴, compare support shear-force magnitudes S…
  43. Question 43 (2 marks, Multiple choice) – Consider: P. One-brick-thick walls are measured in square metres. Q. One-brick-thick walls are measured in cubic metres. R. No deduction in brickwork…
  44. Question 44 (2 marks, Multiple choice) – Two identical concrete piles, plan dimensions 50 cm × 50 cm, are driven 20 m into homogeneous sand as shown. Dry sand has unit weight 18 kN/m³;…
  45. Question 45 (2 marks, Multiple choice) – Consider triaxial stress-path statements: P. If 1= 3, the stress point lies at the origin of the p–q plot. Q. If 1= 3, it lies on the p-axis. R. If 1>…
  46. Question 46 (2 marks, Multiple choice) – Two cars P and Q move for two hours with distances (km) d P=60t, d Q=60t2, where t is hours. Their maximum headway in the first hour and its…
  47. Question 47 (2 marks, Multiple choice) – At A on the potential slip surface of the highway cut shown, shear stress is 50 kPa. Soil parameters are c=20 kPa, =18, s u=80 kPa; unit weights…
  48. Question 48 (2 marks, Numerical answer) – Vertical towers A and B stand on horizontal ground. On the aerial photograph shown, their relief displacements are 1.5 and 2.0 cm, and distances of…
  49. Question 49 (2 marks, Numerical answer) – A hollow circular shaft has outside and inside diameters 100 and 50 mm. With allowable maximum shear stress 125 MPa, maximum torque is kN m.
  50. Question 50 (2 marks, Numerical answer) – A simply supported rectangular concrete beam spans 8 m and is prestressed by 1600 kN through a parabolic tendon with zero eccentricity at supports.…
  51. Question 51 (2 marks, Numerical answer) – Two 8 mm steel plates are connected by 6 mm fillet welds as shown. Allowable plate and weld stresses are 150 and 110 MPa. Treat the indicated weld…
  52. Question 52 (2 marks, Numerical answer) – For the frame shown, E=2.5104 MPa and I=8108 mm⁴ for all members. The rotation at Q, to one decimal place, is degrees.
  53. Question 53 (2 marks, MTA) – A 2 m long, 8 mm diameter mild-steel rod is loaded in tension. Its load–elongation graph is shown. Yield stress is 250 MPa. Complementary strain…
  54. Question 54 (2 marks, Numerical answer) – Four 5000 kN point loads act at corners A, B, C, D of a 4 m × 4 m square as shown. By Boussinesq theory, vertical stress increment 5 m below centre M,…
  55. Question 55 (2 marks, Numerical answer) – An open U-tube of uniform square cross section 5 mm × 5 mm initially has mercury (specific gravity 13.6) standing 20 cm high in each vertical limb.…
  56. Question 56 (2 marks, Numerical answer) – A 1 m wide rectangular channel carries 2 m³/s. For the same specific energy, the subcritical depth is twice the supercritical depth. The subcritical…
  57. Question 57 (2 marks, Numerical answer) – A 25 km × 25 km catchment has four rain gauges at its corners and one at its centre, as shown. Rainfall at G1, G2, G3, G4 and G5 is 300, 285, 272, 290…
  58. Question 58 (2 marks, Numerical answer) – An irrigation project has cultural command area 10000 ha. Rice is grown in kharif and wheat in rabi. The canal was designed for rice on 2500 ha with…
  59. Question 59 (2 marks, Numerical answer) – A horizontal 100 mm diameter pipe carries 0.01 m³/s at Reynolds number 800. Take g = 9.81 m/s². Head loss per kilometre, to one decimal place, is m.
  60. Question 60 (2 marks, Numerical answer) – Municipal-solid-waste components are listed as (mass %, moisture %, energy kJ/kg as discarded): food (20,70,2500); paper (10,4,10000); cardboard…
  61. Question 61 (2 marks, Numerical answer) – The ratio of five-day BOD at 20°C to ultimate BOD is 0.68. The first-order BOD rate constant (base e), to two decimals, is day⁻¹.
  62. Question 62 (2 marks, Numerical answer) – A plant treats 1000 m³/day. An overflow rate of 20 m/day satisfactorily removes discrete suspended particles. For water depth 3 m, the required…
  63. Question 63 (2 marks, Numerical answer) – Water ion data are (milligram equivalent; concentration mg/L): Ca²⁺ (20;60), Mg²⁺ (12.2;36.6), Na⁺ (23;92), K⁺ (39.1;78.2), Cl⁻ (35.5;71), SO₄²⁻…
  64. Question 64 (2 marks, Numerical answer) – Concrete pavements P and Q have the same length, breadth, elastic modulus and Poisson ratio. P has thickness h and subgrade-reaction modulus K; Q has…
  65. Question 65 (2 marks, Numerical answer) – An observer has eye level 5 m above sea level and sees the top of a 40 m high lighthouse. The maximum distance from the lighthouse, to one decimal…