The GATE Grind

GATE 2019 CE (CE1) – Previous Year Questions with Solutions

All 65 questions of GATE 2019 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) – “The lecture was attended by quite students, so the hall was not very .” Choose the correct words.
  2. Question 2 (1 mark, Multiple choice) – “They have come a long way in trust among the users.” Choose the correct word.
  3. Question 3 (1 mark, Multiple choice) – On horizontal ground, the base of a straight ladder is 6 m from the base of a vertical pole. The ladder makes 45° with the horizontal and rests on the…
  4. Question 4 (1 mark, Multiple choice) – If E = 10, J = 20, O = 30 and T = 40, find P + E + S + T.
  5. Question 5 (1 mark, Multiple choice) – “The CEO’s decision to quit was as shocking to the Board as it was to .” Choose the correct pronoun.
  6. Question 6 (2 marks, Multiple choice) – The new cotton technology, Bollgard-II, with herbicide tolerant traits has developed into a thriving business in India. However, the commercial use of…
  7. Question 7 (2 marks, Multiple choice) – In a sports academy of 300 people, 105 play only cricket, 70 only hockey, 50 only football, 25 both cricket and hockey, 15 both hockey and football…
  8. Question 8 (2 marks, Multiple choice) – “The increasing interest in tribal characters might be a mere coincidence, but the timing is of interest. None of this, though, is to say that the…
  9. Question 9 (2 marks, Multiple choice) – A square has sides 5 cm shorter than those of a second square. The larger square has four times the area of the smaller. Find the larger side (cm).
  10. Question 10 (2 marks, Multiple choice) – P, Q, R, S and T belong to the same family. P is S’s brother. Q is P’s wife. R and T are children of siblings P and S respectively. Which statement is…
  11. Question 11 (1 mark, Multiple choice) – Which statement about the following limits is correct? Let L 1= x04x2x and L 2= x0 xx.
  12. Question 12 (1 mark, Multiple choice) – For two-dimensional flow through isotropic soil in the x and z directions, let h denote hydraulic head. Which is Laplace’s continuity equation?
  13. Question 13 (1 mark, Multiple choice) – A mass m hangs from a spring of stiffness k. With displacement z, its free-vibration equation is m z+kz=0. Find natural frequency as expressed in the…
  14. Question 14 (1 mark, Multiple choice) – For small h, which is the Taylor expansion of f(x+h)?
  15. Question 15 (1 mark, Multiple choice) – The plane truss is shown, not to scale. Which option contains ONLY zero-force members?
  16. Question 16 (1 mark, Multiple choice) – An element has biaxial tensile normal strains 0.0030 and 0.0020. Find the normal strain on a plane of maximum shear strain.
  17. Question 17 (1 mark, Multiple choice) – For the pin-jointed plane truss shown, RP, RQ and RR denote vertical support reactions at P, Q and R, with upward positive. Find (RP, RQ, RR) in kN.
  18. Question 18 (1 mark, Multiple choice) – Assuming no possibility of web shear buckling, what maximum reduction in the low-shear design bending strength of a semi-compact steel section due to…
  19. Question 19 (1 mark, Multiple choice) – For the reinforced concrete beam section shown, find the bottom nominal cover according to IS 456:2000. The bottom main bars are 16 mm diameter with…
  20. Question 20 (1 mark, Multiple choice) – Four triangles have interior angles: P: 85°, 50°, 45°; Q: 100°, 55°, 25°; R: 100°, 45°, 35°; S: 130°, 30°, 20°. Which are ill-conditioned and should…
  21. Question 21 (1 mark, Multiple choice) – The average coefficient of rolling friction of a road is f r and its grade is +G%. If the grade doubles with other parameters unchanged, find the…
  22. Question 22 (1 mark, Multiple choice) – An isolated concrete pavement slab of length L rests on a frictionless base. Top and bottom temperatures are T t and T b, respectively, with T t>T b.…
  23. Question 23 (1 mark, Multiple choice) – In a rectangular channel at critical flow, find the ratio of velocity head to flow depth.
  24. Question 24 (1 mark, Multiple choice) – An irrigation canal passes below the bed level of a natural stream. Which cross-drainage structure is provided?
  25. Question 25 (1 mark, Multiple choice) – A rectangular catchment contains three rain gauges at arbitrary locations. Mean precipitation is estimated by arithmetic mean PA and Thiessen polygons…
  26. Question 26 (1 mark, Multiple choice) – A retaining wall of height H with a smooth vertical back supports cohesionless backfill inclined at β to horizontal. The soil friction angle is φ and…
  27. Question 27 (1 mark, Multiple choice) – Total stress, effective stress, hydraulic gradient and critical gradient in soil are σ, , i and i c. At initiation of quicksand, which is true?
  28. Question 28 (1 mark, Multiple choice) – Which is a secondary air pollutant?
  29. Question 29 (1 mark, Numerical answer) – A rectangular plain-concrete beam of overall depth 500 mm develops equal-magnitude compressive and tensile strains 2.510-4 at opposite extreme fibres.…
  30. Question 30 (1 mark, Numerical answer) – A completely mixed dilute suspension of sand particles of diameters 0.25, 0.35, 0.40, 0.45 and 0.50 mm fills a transparent glass column 10 cm in…
  31. Question 31 (1 mark, Numerical answer) – The maximum vehicle count in any five-minute interval of the peak hour is 160; total hourly flow is 1000 vehicles. Find the five-minute peak-hour…
  32. Question 32 (1 mark, Numerical answer) – A water duct contracts gradually from diameter 30 cm to 15 cm. A differential mercury manometer is arranged as shown and reads 8 cm deflection during…
  33. Question 33 (1 mark, Numerical answer) – The probability that annual maximum flood discharge exceeds 25000 m³/s at least once in the next five years is 0.25. Find the flood’s return period…
  34. Question 34 (1 mark, Numerical answer) – Soil solids have specific gravity 2.65. Water density is 1000 kg/m³. With zero air voids and moisture content 10%, find soil dry density (kg/m³), to…
  35. Question 35 (1 mark, Numerical answer) – A concentrated 500 kN load acts on an elastic half-space. According to Boussinesq’s theory, find the ratio of increases in vertical normal stress at…
  36. Question 36 (2 marks, Multiple choice) – Which statement is NOT correct?
  37. Question 37 (2 marks, Multiple choice) – A one-dimensional domain is discretized into N subdomains of width Δx, with nodes i = 0, 1, …, N. Time steps have width Δt. Which is the forward-time…
  38. Question 38 (2 marks, Multiple choice) – A rectangular open channel is 5 m wide with bed slope 0.001. Uniform flow has depth 2 m and speed 2 m/s. Find Manning’s roughness coefficient.
  39. Question 39 (2 marks, Multiple choice) – Assess: P: Lateral stress in soil tested in an oedometer is always at rest. Q: For a perfectly rigid strip footing at deeper depth in sand, vertical…
  40. Question 40 (2 marks, Multiple choice) – Given x= and y=, find / x.
  41. Question 41 (2 marks, Multiple choice) – The built-up wood beam section shown is symmetric about its neutral axis and carries vertical shear 8 kN. Its second moment about that axis is 1.5109\…
  42. Question 42 (2 marks, Multiple choice) – The rigid-jointed frame QRS shown carries P at R. Neglect axial deformation. Both members have length L and stiffness EI. If support S settles by…
  43. Question 43 (2 marks, Multiple choice) – The T-section shown changes from fully elastic to fully plastic. By how much does the neutral-axis depth measured from the top decrease? The flange is…
  44. Question 44 (2 marks, Multiple choice) – A rectangular sedimentation basin is 32 m long, 8 m wide and 4 m deep, with flow 0.2 m³/s. Particle settling follows Stokes’ law. Particle density is…
  45. Question 45 (2 marks, Multiple choice) – A survey line measures 285.5 m using a nominal 30 m tape, later found to be 0.05 m too short. The line lies on a slope of 1 in 10. Find the reduced…
  46. Question 46 (2 marks, Numerical answer) – A 16 mm gusset plate is connected to a 12 mm I-section flange by 10 mm fillet welds on both sides as shown. Each weld is 500 mm long. A 350 kN point…
  47. Question 47 (2 marks, Numerical answer) – The construction project network is shown. Data below give normal duration / crash duration (days), normal cost / crash cost (INR): P: 6 / 4, 15000 /…
  48. Question 48 (2 marks, Numerical answer) – A 50 cm × 50 cm × 50 cm box is filled to the top with 187.5 kg of coarse aggregate. Aggregate water absorption is 0.5% and specific gravity 2.5. Find…
  49. Question 49 (2 marks, Numerical answer) – The shown portal frame has a hinge at P and roller at R. A 50 kN horizontal load acts at R. PQ = 5 m, QR = 10 m and each member has EI=106\ kN\,m2.…
  50. Question 50 (2 marks, Numerical answer) – Air at 0°C and 1 atm contains 0.02 ppm NO₂. Its molecular mass is 46 and molar volume at these conditions is 22.4 L. Find equivalent concentration…
  51. Question 51 (2 marks, Numerical answer) – A sand filter bed 4 m long, 3 m wide and 0.80 m deep contains uniform particles of diameter 0.40 mm, specific gravity 2.65 and shape factor 0.85.…
  52. Question 52 (2 marks, Numerical answer) – Wastewater is dosed with 35 mg/L chlorine for 99% microorganism kill. Survival follows N t=N 0e-kt, where k = 0.23 min⁻¹. Flow is 36 m³/h. A…
  53. Question 53 (2 marks, Numerical answer) – A staff rests on a benchmark of RL 100.000 m. A theodolite is placed 50 m horizontally from it. Vertical angles from horizontal to staff readings…
  54. Question 54 (2 marks, Numerical answer) – For x2y-2xy+2y=0, with y(1) = 0 and y(2) = 2, find y(3) to one decimal place.
  55. Question 55 (2 marks, Numerical answer) – A road has free-flow speed 60 km/h and jam density 120 vehicles/km. With a linear speed–density relationship, find maximum flow (vehicles/h).
  56. Question 56 (2 marks, Numerical answer) – Vehicles arrive on a highway at 360/hour as a Poisson process. Find the probability of successive headway between 6 and 10 seconds, to two decimal…
  57. Question 57 (2 marks, Numerical answer) – A parabolic vertical curve joins grades +5% and −3%. Horizontal curve length is 400 m. VPC lies on the +5% grade. Find the height difference between…
  58. Question 58 (2 marks, Numerical answer) – Tie bars of diameter 12 mm join concrete pavement slabs. Working tensile stress is 230 MPa, average bond strength 2 MPa and joint gap 10 mm. Ignoring…
  59. Question 59 (2 marks, Numerical answer) – The hyetograph shows a 140-minute storm with successive 20-minute rainfall intensities 4, 8, 15, 10, 8, 3 and 1 mm/h. Infiltration capacity begins at…
  60. Question 60 (2 marks, Numerical answer) – Two reservoirs are connected by a full-running siphon of total length 5000 m and diameter 0.10 m. The inlet leg to the summit is 2000 m and reservoir…
  61. Question 61 (2 marks, Numerical answer) – Laminar flow in the x direction occurs between infinite parallel plates. The lower plate is stationary; the upper moves at 1 cm/s in x. Gap is 5 mm…
  62. Question 62 (2 marks, Numerical answer) – A reinforced-concrete circular pile 12 m long and 0.6 m in diameter is embedded in stiff clay of undrained cohesion 110 kN/m². Adhesion factor is 0.5.…
  63. Question 63 (2 marks, Numerical answer) – A granular soil has saturated unit weight 20 kN/m³ and effective friction angle 30°. Water unit weight is 9.81 kN/m³. Seepage occurs parallel to an…
  64. Question 64 (2 marks, Numerical answer) – Precast 3 m × 3 m square reinforced-concrete segments are pushed through a railway embankment to form an underpass. Jacks react against a rigid steel…
  65. Question 65 (2 marks, Numerical answer) – A square footing of side 4 m at depth 1 m in dry sand has ultimate bearing capacity 600 kPa. Sand unit weight is 15 kN/m³; take d c=d q=d =1.0 and N…