The GATE Grind

GATE 2016 CE (CE1) – Previous Year Questions with Solutions

All 65 questions of GATE 2016 CE (CE1) with answers and explanations. Read each question, then practise it by topic or as a full paper.

Practise this paper in The GATE Grind →

  1. Question 1 (1 mark, Multiple choice) – Out of the following four sentences, select the most suitable sentence with respect to grammar and usage.
  2. Question 2 (1 mark, Multiple choice) – A rewording of something written or spoken is a .
  3. Question 3 (1 mark, Multiple choice) – Archimedes said, “Give me a lever long enough and a fulcrum on which to place it, and I will move the world.” The sentence above is an example of a…
  4. Question 4 (1 mark, Multiple choice) – If ‘relftaga’ means carefree, ‘otaga’ means careful and ‘fertaga’ means careless, which of the following could mean ‘aftercare’?
  5. Question 5 (1 mark, Multiple choice) – A cube is built using 64 cubic blocks of side one unit. After it is built, one cubic block is removed from every corner of the cube. The resulting…
  6. Question 6 (2 marks, Multiple choice) – A company sells Elegance, Smooth, Soft and Executive razors at ₹48, ₹63, ₹78 and ₹173 each. Quarterly sales in that order are Q1: 27300, 20009, 17602,…
  7. Question 7 (2 marks, Multiple choice) – Indian currency notes show the denomination indicated in at least seventeen languages. If this is not an indication of the nation’s diversity, nothing…
  8. Question 8 (2 marks, Multiple choice) – Consider the following statements relating to the level of poker play of four players P, Q, R and S. I. P always beats Q II. R always beats S III. S…
  9. Question 9 (2 marks, Multiple choice) – Which is a factor of f(x)=2x7+3x-5?
  10. Question 10 (2 marks, Multiple choice) – In a process, the number of cycles to failure decreases exponentially with an increase in load. At a load of 80 units, it takes 100 cycles for…
  11. Question 11 (1 mark, Numerical answer) – Use Newton–Raphson to solve 3x-ex+ x=0. With initial estimate x 0=0.333, the next estimate, correct to three decimal places, is .
  12. Question 12 (1 mark, Multiple choice) – The partial differential equation P xx+P yy+3P xy+2P x-P y=0 is .
  13. Question 13 (1 mark, Multiple choice) – If the entries in each column of a square matrix M add up to 1, then an eigenvalue of M is .
  14. Question 14 (1 mark, Multiple choice) – Type II error in hypothesis testing is
  15. Question 15 (1 mark, Multiple choice) – For u t= u xx, which is a possible separated solution?
  16. Question 16 (1 mark, Multiple choice) – Consider the plane truss with load P as shown in the figure. Let the horizontal and vertical reactions at the joint B be HB and VB, respectively and…
  17. Question 17 (1 mark, Multiple choice) – In shear design of an RC beam, IS 456:2000 specifies allowable concrete shear strength c and a maximum permissible shear stress c,max. The latter…
  18. Question 18 (1 mark, Numerical answer) – The semi-compact section of a laterally unsupported steel beam has an elastic section modulus, plastic section modulus and design bending compressive…
  19. Question 19 (1 mark, Multiple choice) – Bull's trench kiln is used in the manufacturing of
  20. Question 20 (1 mark, Multiple choice) – The compound which is largely responsible for initial setting and early strength gain of Ordinary Portland Cement is
  21. Question 21 (1 mark, Multiple choice) – In a consolidated undrained triaxial test on saturated soil, the pore water pressure is zero .
  22. Question 22 (1 mark, Multiple choice) – A fine-grained soil is plastic at water contents between 26% and 48%. Under the Indian Standard classification system, it is .
  23. Question 23 (1 mark, Multiple choice) – A vertical cut is made in soil of cohesion c, friction angle and unit weight . With active and passive earth-pressure coefficients K a,K p, the…
  24. Question 24 (1 mark, Numerical answer) – The direct runoff hydrograph shown results from 5 cm of rainfall excess. The catchment area is ha.
  25. Question 25 (1 mark, Multiple choice) – Match flood-routing methods P hydrologic and Q hydraulic with equations 1 continuity, 2 momentum and 3 energy.
  26. Question 26 (1 mark, Numerical answer) – The pre-jump Froude number in a horizontal rectangular channel is 10. The ratio of post-jump sequent depth to pre-jump depth is .
  27. Question 27 (1 mark, Multiple choice) – Pre-cursors to photochemical oxidants are
  28. Question 28 (1 mark, Multiple choice) – Crown corrosion in a reinforced concrete sewer is caused by:
  29. Question 29 (1 mark, Multiple choice) – It was decided to construct a fabric filter, using bags of 0.45 m diameter and 7.5 m long, for removing industrial stack gas containing particulates.…
  30. Question 30 (1 mark, Multiple choice) – Match the items in Group – I with those in Group – II and choose the right combination. Group - I P. Activated sludge process Q. Rising of sludge R.…
  31. Question 31 (1 mark, Multiple choice) – During a forensic investigation of pavement failure, an engineer reconstructed the graphs P, Q, R and S, using partial and damaged old reports.…
  32. Question 32 (1 mark, Numerical answer) – In a one-lane one-way homogeneous traffic stream, the observed average headway is 3.0 s. The flow (expressed in vehicles/hr) in this traffic stream is
  33. Question 33 (1 mark, Multiple choice) – The minimum number of satellites needed for a GPS to determine its position precisely is
  34. Question 34 (1 mark, Multiple choice) – The system that uses the Sun as a source of electromagnetic energy and records the naturally radiated and reflected energy from the object is called
  35. Question 35 (1 mark, Multiple choice) – The staff reading taken on a workshop floor using a level is 0.645 m. The inverted staff reading taken to the bottom of a beam is 2.960 m. The reduced…
  36. Question 36 (2 marks, Multiple choice) – A continuous random variable X has density f(x)=0.25 for 1 x5 and zero otherwise. What is P(X4)?
  37. Question 37 (2 marks, Multiple choice) – The value of 0 dx/(1+x2)+ 0 ( x)/x\,dx is .
  38. Question 38 (2 marks, Multiple choice) – The area enclosed by y=x2+1 and x+y=3 is .
  39. Question 39 (2 marks, Multiple choice) – The magnitudes of vectors P, Q and R are 100 kN, 250 kN and 150 kN, respectively as shown in the figure. The respective values of the magnitude (in…
  40. Question 40 (2 marks, Multiple choice) – For y(4)+3y=108x2, which complementary function and particular integral are correct?
  41. Question 41 (2 marks, MTA) – A 3 m long simply supported beam of uniform cross section is subjected to a uniformly distributed load of w = 20 kN/m in the central 1 m as shown in…
  42. Question 42 (2 marks, Multiple choice) – Two beams PQ (fixed at P and with a roller support at Q, as shown in Figure I, which allows vertical movement) and XZ (with a hinge at Y) are shown in…
  43. Question 43 (2 marks, Multiple choice) – A plane truss with applied loads is shown in the figure. The members which do not carry any force are
  44. Question 44 (2 marks, Multiple choice) – A rigid member ACB is shown in the figure. The member is supported at A and B by pinned and guided roller supports, respectively. A force P acts at C…
  45. Question 45 (2 marks, Multiple choice) – A reinforced concrete (RC) beam with width of 250 mm and effective depth of 400 mm is reinforced with Fe415 steel. As per the provisions of IS…
  46. Question 46 (2 marks, Numerical answer) – For M25 concrete with creep coefficient of 1.5, the long-term static modulus of elasticity (expressed in MPa) as per the provisions of IS:456-2000 is…
  47. Question 47 (2 marks, Multiple choice) – A propped cantilever of span L carries a vertical concentrated load at the mid-span. If the plastic moment capacity of the section is Mp, the…
  48. Question 48 (2 marks, Multiple choice) – Two plates are connected by fillet welds of size 10 mm and subjected to tension, as shown in the figure. The thickness of each plate is 12 mm. The…
  49. Question 49 (2 marks, Numerical answer) – The four activities on a PERT critical path have optimistic, most likely and pessimistic durations (days) of (8,10,14), (6,8,11), (5,7,10) and…
  50. Question 50 (2 marks, Numerical answer) – The porosity (n) and the degree of saturation (S) of a soil sample are 0.7 and 40%, respectively. In a 100 m3 volume of the soil, the volume…
  51. Question 51 (2 marks, Multiple choice) – A homogeneous gravity retaining wall supporting a cohesionless backfill is shown in the figure. The lateral active earth pressure at the bottom of the…
  52. Question 52 (2 marks, Numerical answer) – An undisturbed soil sample was taken from the middle of a clay layer (i.e., 1.5 m below GL), as shown in figure. The water table was at the top of…
  53. Question 53 (2 marks, Numerical answer) – A seepage flow condition is shown in the figure. The saturated unit weight of the soil γsat = 18 kN/m3. Using unit weight of water, γw = 9.81 kN/m3,…
  54. Question 54 (2 marks, Numerical answer) – A drained triaxial compression test on a saturated clay yielded the effective shear strength parameters as c' = 15 kPa and ϕ' = 22o. Consolidated…
  55. Question 55 (2 marks, Numerical answer) – A concrete gravity dam section is shown in the figure. Assuming unit weight of water as 10 kN/m3 and unit weight of concrete as 24 kN/m3, the uplift…
  56. Question 56 (2 marks, Multiple choice) – Seepage is occurring through a porous media shown in the figure. The hydraulic conductivity values (k1, k2, k3) are in m/day. The seepage discharge…
  57. Question 57 (2 marks, Multiple choice) – A 4 m wide rectangular channel, having bed slope of 0.001 carries a discharge of 16 m3/s. Considering Manning's roughness coefficient = 0.012 and g =…
  58. Question 58 (2 marks, Numerical answer) – A sector gate is provided on a spillway as shown in the figure. Assuming g = 10 m/s2, the resultant force per meter length (expressed in kN/m) on the…
  59. Question 59 (2 marks, Numerical answer) – A hydraulically efficient trapezoidal channel section has a uniform flow depth of 2 m. The bed width (expressed in m) of the channel is
  60. Question 60 (2 marks, Numerical answer) – Effluent from an industry 'A' has a pH of 4.2. The effluent from another industry 'B' has double the hydroxyl (OH-) ion concentration than the…
  61. Question 61 (2 marks, Numerical answer) – An electrostatic precipitator (ESP) with 5600 m2 of collector plate area is 96 percent efficient in treating 185 m3/s of flue gas from a 200 MW…
  62. Question 62 (2 marks, Numerical answer) – The 2-day and 4-day BOD values of a sewage sample are 100 mg/L and 155 mg/L, respectively. The value of BOD rate constant (expressed in per day) is
  63. Question 63 (2 marks, Multiple choice) – A two-lane one-way road of radius 50 m predominantly carries lorries with wheelbase 5 m, at 60–80 km/h. The mechanical and psychological widening at…
  64. Question 64 (2 marks, Numerical answer) – While traveling along and against the traffic stream, a moving observer measured the relative flows as 50 vehicles/hr and 200 vehicles/hr,…
  65. Question 65 (2 marks, Numerical answer) – The vertical angles subtended by the top of a tower T at two instrument stations set up at P and Q, are shown in the figure. The two stations are in…