The GATE Grind

GATE 2016 CE (CE2) – Previous Year Questions with Solutions

All 65 questions of GATE 2016 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) – If I were you, I that laptop. It’s much too expensive.
  2. Question 2 (1 mark, Multiple choice) – He **turned a deaf ear to** my request. What does the highlighted phrasal verb mean?
  3. Question 3 (1 mark, Multiple choice) – Choose the most appropriate set of words from the options given below to complete the following sentence. is a will, is a way.
  4. Question 4 (1 mark, Multiple choice) – (x % of y) + (y % of x) is equivalent to .
  5. Question 5 (1 mark, Multiple choice) – The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits is greater than the original number by 54, find…
  6. Question 6 (2 marks, Multiple choice) – Two finance companies, P and Q, declared fixed annual rates of interest on the amounts invested with them. The rates of interest offered by these…
  7. Question 7 (2 marks, Multiple choice) – Today, we consider Ashoka as a great ruler because of the copious evidence he left behind in the form of stone carved edicts. Historians tend to…
  8. Question 8 (2 marks, Multiple choice) – Fact 1: Humans are mammals. Fact 2: Some humans are engineers. Fact 3: Engineers build houses. If the above statements are facts, which of the…
  9. Question 9 (2 marks, Multiple choice) – A square pyramid has a base perimeter x, and the slant height is half of the perimeter. What is the lateral surface area of the pyramid?
  10. Question 10 (2 marks, Multiple choice) – Ananth takes 6 hours and Bharath takes 4 hours to read a book. Both started reading copies of the book at the same time. After how many hours is the…
  11. Question 11 (1 mark, Numerical answer) – The spot speeds (expressed in km/hr) observed at a road section are 66, 62, 45, 79, 32, 51, 56, 60, 53, and 49. The median speed (expressed in km/hr)…
  12. Question 12 (1 mark, Multiple choice) – The optimum value of f(x)=x2-4x+2 is .
  13. Question 13 (1 mark, Multiple choice) – On [-,], f(x)=0 for -<x0 and f(x)=-x for 0<x<. Its Fourier series is f(x)=/4+(2/) n=1((2n-1)x)/(2n-1)2+ n=1(nx)/n. Convergence at x=0 gives .
  14. Question 14 (1 mark, Multiple choice) – X and Y are independent events with P(X)=0.40 and P(X Yc)=0.7. What is P(X Y)?
  15. Question 15 (1 mark, Multiple choice) – What is (x,y)(0,0)xy/(x2+y2)?
  16. Question 16 (1 mark, Multiple choice) – The kinematic indeterminacy of the plane truss shown in the figure is
  17. Question 17 (1 mark, Multiple choice) – As per IS 456:2000, the maximum allowable shear stress c,max in reinforced-concrete beam design depends on .
  18. Question 18 (1 mark, Multiple choice) – An assembly made of a rigid arm A-B-C hinged at end A and supported by an elastic rope C-D at end C is shown in the figure. The members may be assumed…
  19. Question 19 (1 mark, Multiple choice) – As per Indian standards for bricks, minimum acceptable compressive strength of any class of burnt clay bricks in dry state is
  20. Question 20 (1 mark, Multiple choice) – A construction project has twelve activities. Durations (days): A inauguration 1; B foundation work 7; C structural construction-1 30; D structural…
  21. Question 21 (1 mark, Multiple choice) – A strip footing is resting on the surface of a purely clayey soil deposit. If the width of the footing is doubled, the ultimate bearing capacity of…
  22. Question 22 (1 mark, Multiple choice) – The relationship between the specific gravity of sand (G) and the hydraulic gradient (i) to initiate quick condition in the sand layer having porosity…
  23. Question 23 (1 mark, Multiple choice) – The results of a consolidation test on an undisturbed soil, sampled at a depth of 10 m below the ground level are as follows: Saturated unit weight :…
  24. Question 24 (1 mark, Multiple choice) – Profile of a weir on permeable foundation is shown in figure I and an elementary profile of 'upstream pile only case' according to Khosla's theory is…
  25. Question 25 (1 mark, Numerical answer) – Water table of an aquifer drops by 100 cm over an area of 1000 km2. The porosity and specific retention of the aquifer material are 25% and 5%,…
  26. Question 26 (1 mark, Multiple choice) – Match fluid types P Newtonian, Q pseudoplastic, R plastic, S dilatant with curves 1–5 in the shear-stress versus shear-rate diagram.
  27. Question 27 (1 mark, Multiple choice) – The atmospheric layer closest to the earth surface is
  28. Question 28 (1 mark, Numerical answer) – A water supply board is responsible for treating 1500 m3/day of water. A settling column analysis indicates that an overflow rate of 20 m/day will…
  29. Question 29 (1 mark, Numerical answer) – The hardness of a ground water sample was found to be 420 mg/L as CaCO3. A softener containing ion exchange resins was installed to reduce the total…
  30. Question 30 (1 mark, Multiple choice) – The sound pressure (expressed in µPa) of the faintest sound that a normal healthy individual can hear is
  31. Question 31 (1 mark, Multiple choice) – In the context of the IRC 58-2011 guidelines for rigid pavement design, consider the following pair of statements. I: Radius of relative stiffness is…
  32. Question 32 (1 mark, Multiple choice) – If the total number of commercial vehicles per day ranges from 3000 to 6000, the minimum percentage of commercial traffic to be surveyed for axle load…
  33. Question 33 (1 mark, Multiple choice) – Optimal flight planning for a photogrammetric survey should be carried out considering
  34. Question 34 (1 mark, Multiple choice) – The reduced bearing of a 10 m long line is N30°E. The departure of the line is
  35. Question 35 (1 mark, Multiple choice) – A circular curve of radius R connects two straights with a deflection angle of 60°. The tangent length is
  36. Question 36 (2 marks, Multiple choice) – The linear system x+2y-3z=a, 2x+3y+3z=b, 5x+9y-6z=c is consistent if .
  37. Question 37 (2 marks, Multiple choice) – Two probability densities are f(x)=casesx/a+1,&-a x<0\\-x/a+1,&0 x a\\0,&otherwisecases and g(x)=cases-x/a,&-a x<0\/a,&0 x a\\0,&otherwise.cases Which…
  38. Question 38 (2 marks, Multiple choice) – The intersection angle of x2=4y and y2=4x at (0,0) is .
  39. Question 39 (2 marks, Numerical answer) – The area between x2=8y and the line y=8 is .
  40. Question 40 (2 marks, Multiple choice) – The quadratic approximation of f(x)=x3-3x2-5 at x=0 is .
  41. Question 41 (2 marks, Multiple choice) – An elastic isotropic body is in a hydrostatic state of stress as shown in the figure. For no change in the volume to occur, what should be its…
  42. Question 42 (2 marks, Multiple choice) – For the stress state (in MPa) shown in the figure, the major principal stress is 10 MPa. The shear stress τ is
  43. Question 43 (2 marks, Multiple choice) – The portal frame shown in the figure is subjected to a uniformly distributed vertical load w (per unit length). The bending moment in the beam at the…
  44. Question 44 (2 marks, Multiple choice) – The hinged structural system shown carries W=100 kN. Member properties L,A,E are indicated. Let L=1 m, A=0.05 m2, and E=30106 N/m2. Which set gives…
  45. Question 45 (2 marks, Numerical answer) – A haunched (varying depth) reinforced concrete beam is simply supported at both ends, as shown in the figure. The beam is subjected to a uniformly…
  46. Question 46 (2 marks, Numerical answer) – A 450 mm long plain concrete prism is subjected to the concentrated vertical loads as shown in the figure. Cross section of the prism is given as 150…
  47. Question 47 (2 marks, Multiple choice) – Two bolted plates under tension have the alternative hole arrangements in Figures 1 and 2. Hole diameter, pitch and gauge are d,p,g, respectively.…
  48. Question 48 (2 marks, Multiple choice) – A fixed-end beam has two segments of length L with plastic capacities 2M p and M p, as shown. A concentrated load P acts at 2L/3 from the left…
  49. Question 49 (2 marks, Multiple choice) – The activity-on-arrow network of activities for a construction project is shown in the figure. The durations (expressed in days) of the activities are…
  50. Question 50 (2 marks, Numerical answer) – The seepage occurring through an earthen dam is represented by a flownet comprising of 10 equipotential drops and 20 flow channels. The coefficient of…
  51. Question 51 (2 marks, Numerical answer) – The soil profile at a site consists of a 5 m thick sand layer underlain by a c-φ soil as shown in figure. The water table is found 1 m below the…
  52. Question 52 (2 marks, Multiple choice) – OMC-SP and MDD-SP denote the optimum moisture content and maximum dry density obtained from standard Proctor compaction test, respectively. OMC-MP and…
  53. Question 53 (2 marks, Numerical answer) – Water flows from P to Q through two soil samples, Soil 1 and Soil 2, having cross sectional area of 80 cm2 as shown in the figure. Over a period of 15…
  54. Question 54 (2 marks, Numerical answer) – A 4 m wide strip footing lies 1.5 m below ground in c–φ soil. The water table is 5.5 m below ground. Soil properties: c=35 kN/m2, =28.63, sat=19,…
  55. Question 55 (2 marks, Numerical answer) – A square plate is suspended vertically from one of its edges using a hinge support as shown in figure. A water jet of 20 mm diameter having a velocity…
  56. Question 56 (2 marks, Numerical answer) – The ordinates of a one-hour unit hydrograph at sixty minute interval are 0, 3, 12, 8, 6, 3 and 0 m3/s. A two-hour storm of 4 cm excess rainfall…
  57. Question 57 (2 marks, Numerical answer) – A 3 m wide rectangular channel carries 6 m3/s at depth 0.5 m at P. A flat-topped hump is placed downstream. With negligible energy loss and g=9.81…
  58. Question 58 (2 marks, Numerical answer) – A penstock of 1 m diameter and 5 km length is used to supply water from a reservoir to an impulse turbine. A nozzle of 15 cm diameter is fixed at the…
  59. Question 59 (2 marks, Multiple choice) – A tracer takes 100 days to travel from Well-1 to Well-2 which are 100 m apart. The elevation of water surface in Well-2 is 3 m below that in Well-1.…
  60. Question 60 (2 marks, Multiple choice) – The water-analysis bar diagram gives cumulative boundaries (meq/L): cations 0, 2.65, 4.10, 6.35, 6.85 for Ca²⁺, Mg²⁺, Na⁺, K⁺; anions 0, 3.30, 3.90,…
  61. Question 61 (2 marks, Numerical answer) – A noise meter located at a distance of 30 m from a point source recorded 74 dB. The reading at a distance of 60 m from the point source would be
  62. Question 62 (2 marks, Numerical answer) – For a wastewater sample, the three-day biochemical oxygen demand at incubation temperature of 20°C (BOD3day, 20°C) is estimated as 200 mg/L. Taking…
  63. Question 63 (2 marks, Multiple choice) – The critical flow ratios for a three-phase signal are found to be 0.30, 0.25, and 0.25. The total time lost in the cycle is 10 s. Pedestrian crossings…
  64. Question 64 (2 marks, Numerical answer) – A motorist traveling at 100 km/h on a highway needs to take the next exit, which has a speed limit of 50 km/h. The section of the roadway before the…
  65. Question 65 (2 marks, Numerical answer) – A tall tower was photographed from an elevation of 700 m above the datum. The radial distances of the top and bottom of the tower from the principal…