The GATE Grind

GATE 2017 CE (CE1) – Previous Year Questions with Solutions

All 65 questions of GATE 2017 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 bacteria in milk are destroyed when it heated to 80 degree Celsius.
  2. Question 2 (1 mark, Multiple choice) – with someone else’s email account is now a very serious offence.
  3. Question 3 (1 mark, Multiple choice) – All benches are beds. No bed is a bulb. Some bulbs are lamps. Which can be inferred? (i) Some beds are lamps. (ii) Some lamps are beds.
  4. Question 4 (1 mark, Multiple choice) – If the radius of a right circular cone increases by 50%, its volume increases by
  5. Question 5 (1 mark, Multiple choice) – The numbers 1,x,x,x,y,y,9,16,18 are in increasing order. Their mean and median are equal, and also equal to twice the mode. Find y.
  6. Question 6 (2 marks, Multiple choice) – The foundation of an old concert hall was feared to be affected by construction of a new metro line. Modern tunnelling technology tried to mitigate…
  7. Question 7 (2 marks, Multiple choice) – Hostel rooms are allotted in order of seniority. Existing occupants move if they obtain a room on their preference list; lower-ranked preferences are…
  8. Question 8 (2 marks, Multiple choice) – Find the last digit of (2171)7+(2172)9+(2173)11+(2174)13.
  9. Question 9 (2 marks, Multiple choice) – Machines M1 and M2 can each perform any one of jobs P, Q, R, S on one object at a time. Their processing times are 30, 20, 60, 15 minutes…
  10. Question 10 (2 marks, Multiple choice) – The stacked bar chart shows monthly chair, table and bed production by five carpenters. Which statements are true? (i) Beds made by C2 equal tables…
  11. Question 11 (1 mark, Multiple choice) – Matrix P is the inverse of matrix Q. If I is the identity matrix, which statement is correct?
  12. Question 12 (1 mark, Multiple choice) – The number of parameters in univariate exponential and Gaussian distributions, respectively, are
  13. Question 13 (1 mark, Multiple choice) – For x(-,), let f(x)=e-x-e-x. The indefinite integral g(x)= f(x)\,dx is equal to (up to an additive constant)
  14. Question 14 (1 mark, Multiple choice) – An elastic bar of length L, uniform area A, thermal-expansion coefficient and Young’s modulus E is fixed at both ends. A temperature increase T causes…
  15. Question 15 (1 mark, Multiple choice) – A simply supported beam carries a uniformly distributed load. Which statement is true?
  16. Question 16 (1 mark, Multiple choice) – According to IS 456:2000, which statement about the balanced-section neutral-axis depth x u,bal of a reinforced-concrete section is correct?
  17. Question 17 (1 mark, Multiple choice) – A two-hinged parabolic arch of span L carries a uniformly distributed load of intensity q per unit horizontal length over its entire span, as shown.…
  18. Question 18 (1 mark, Multiple choice) – Match the soil strength changes to their responsible properties/processes. P: regain with time; Q: loss due to cyclic loading; R: loss due to upward…
  19. Question 19 (1 mark, Multiple choice) – A soil sample is subjected to hydrostatic pressure . The Mohr circle for any point is
  20. Question 20 (1 mark, Multiple choice) – A strip footing rests on the ground surface of purely clayey soil with undrained cohesion c u. Its ultimate bearing capacity is
  21. Question 21 (1 mark, Multiple choice) – A uniformly distributed line load of 500 kN/m acts on the ground surface. Using Boussinesq theory, find the ratio of vertical stress at depth 2 m to…
  22. Question 22 (1 mark, Multiple choice) – For steady incompressible laminar flow between two infinite parallel stationary plates, the shear-stress variation is
  23. Question 23 (1 mark, Multiple choice) – The reaction rate involving reactants A and B is -k[A][B]. Which condition gives a first-order reaction?
  24. Question 24 (1 mark, Multiple choice) – Wastewater rich in biodegradable organics enters a flowing river at S. If river-water aeration is slower than degradation of the organics, where is…
  25. Question 25 (1 mark, Multiple choice) – Which of the following is NOT present in acid rain in the conventional classification used here?
  26. Question 26 (1 mark, Multiple choice) – Superelevation e is provided on a circular horizontal curve so that a vehicle can stop on the curve without sliding. With design speed v and maximum…
  27. Question 27 (1 mark, Multiple choice) – A new airport has elevation 535 m above mean sea level, reference temperature 22.65°C and effective runway gradient 1%. The design aircraft needs 2000…
  28. Question 28 (1 mark, Multiple choice) – An electronic distance-measuring instrument has accuracy (a\ mm+b\ ppm). Which statement is correct?
  29. Question 29 (1 mark, Multiple choice) – The number of spectral bands in the Enhanced Thematic Mapper sensor on Landsat-7 is
  30. Question 30 (1 mark, Numerical answer) – For the PDE 32 x2+B2 x y+32 y2+4=0, find B2 for a parabolic equation.
  31. Question 31 (1 mark, Numerical answer) – Evaluate x0 xx2-x.
  32. Question 32 (1 mark, Numerical answer) – A 3 m thick clay layer has an initial uniform excess pore pressure of 145 kPa, drains into sand above, and rests on an impermeable stratum. The…
  33. Question 33 (1 mark, Numerical answer) – A triangular pipe network is shown. Head loss in each pipe is h f=rQ1.8 in consistent units. Pipe AB has r=1 and BC has r=2. A supply of 100 at A is…
  34. Question 34 (1 mark, Numerical answer) – A 2-hour unit hydrograph has ordinates at times 0, 1, 2, 3, 4 hours of 0, 5, 12, 25, 41 m³/s respectively. Find the ordinate in m³/s of the…
  35. Question 35 (1 mark, Numerical answer) – Vehicles arrive according to a Poisson process at 900 vehicles/hour. A gap is the time between consecutive point-vehicle arrivals. Find the…
  36. Question 36 (2 marks, Multiple choice) – For f(x)=a+bx on 0 x1 to be a valid probability density, which statement is correct?
  37. Question 37 (2 marks, Multiple choice) – The solution of dQ/dt+Q=1 with Q(0)=0 is
  38. Question 38 (2 marks, Multiple choice) – For the matrix A=pmatrix5&-1\\4&1pmatrix, which statement about eigenvalues and eigenvectors is true?
  39. Question 39 (2 marks, Multiple choice) – The planar truss tower shown has statements P: externally determinate; Q: external static indeterminacy 1; R: external static indeterminacy 2; S:…
  40. Question 40 (2 marks, Multiple choice) – Match canal outlet types to hydraulic attributes. P non-modular; Q semi-modular; R modular. 1 discharge depends on both supply-canal and…
  41. Question 41 (2 marks, Multiple choice) – A 1 m wide rectangular channel has bed slope 0.0016 and Manning coefficient 0.04. Its normal depth is 0.5 m. At a section with gradually varied flow…
  42. Question 42 (2 marks, Multiple choice) – For a pavement aggregate test: oven-dry mass in air = 1000 g; saturated surface-dry mass in air = 1025 g; saturated surface-dry mass under water = 625…
  43. Question 43 (2 marks, Multiple choice) – The figure shows queue length versus time at a signalized intersection with a 96 s cycle. At t=0 the signal turns red. Effective green lasts 36 s and…
  44. Question 44 (2 marks, Multiple choice) – A horizontal highway curve has radius 120 m, design speed 60 km/h and lateral-friction coefficient 0.15. Assuming full friction, find the required…
  45. Question 45 (2 marks, MTA) – Observed fore/back bearings are PQ 46°15′ / QP 226°15′; QR 108°15′ / RQ 286°15′; RS 201°30′ / SR 20°30′; ST 321°45′ / TS 141°45′. Which station(s) are…
  46. Question 46 (2 marks, Multiple choice) – A soil has natural moisture content 18%, liquid limit 60%, plastic limit 25% and clay-sized fraction 25%. Its liquidity index and Skempton activity,…
  47. Question 47 (2 marks, Numerical answer) – Solve du/dt=3t2+1, with u(0)=0, numerically using forward Euler with step t=2. Find the absolute error at the end of the first step.
  48. Question 48 (2 marks, Numerical answer) – A pretensioned rectangular concrete beam is 150 mm wide and 300 mm deep. Three straight tendons, each 50 mm² in area, are initially stressed to 1200…
  49. Question 49 (2 marks, Numerical answer) – A stepped linear-elastic bar carries an axial tensile load of 1 kN. Segment 1 has A 1=100 mm², E 1=2105 MPa and L 1=400 mm. Segment 2 has A 2=60 mm²,…
  50. Question 50 (2 marks, Numerical answer) – For beam ABC shown, A is fixed, B and C are simple supports, AB = 4 m and BC = 6 m. AB carries 30 kN/m uniformly. The applied moment M is chosen so…
  51. Question 51 (2 marks, Numerical answer) – Beam ABCD has a simple support at A, an internal hinge at B, and simple supports at C and D. AB = BC = 4 m and CD = 10 m. For a moving concentrated…
  52. Question 52 (2 marks, Numerical answer) – Two linear-elastic columns have E=2105 MPa, square cross-section of side 10 mm and length 1 m. Column 1 is fixed-free; column 2 is fixed-pinned. Using…
  53. Question 53 (2 marks, Numerical answer) – A column carries a 10 kN load through the bracket shown, at eccentricity 15 cm from the bolt-group centre. The four-bolt geometry, 10 cm dimensions…
  54. Question 54 (2 marks, Numerical answer) – A 2 kg particle initially travels at 1.5 m/s. A force f(t)=3t2 N acts in its direction of motion for 2 seconds, with t in seconds. Find the velocity…
  55. Question 55 (2 marks, Numerical answer) – A project has activities with predecessors and durations in days: P (none, 6); Q (P, 15); R (Q and T, 12); S (R, 16); T (P, 10); U (Q and T, 14); V…
  56. Question 56 (2 marks, Numerical answer) – H-piles are driven to 7 m depth in homogeneous sand. Pile surface area is 3 m² per metre length. The effective friction angle is 32° and wall-friction…
  57. Question 57 (2 marks, Numerical answer) – The infinite saturated sand slope shown is at impending sliding failure. Its angle is 20°, vertical layer thickness is 5 m and saturated unit weight…
  58. Question 58 (2 marks, Numerical answer) – A sluice gate in a horizontal channel of unit width has upstream and downstream depths of 1.0 m and 0.2 m. Assume a smooth transition with no energy…
  59. Question 59 (2 marks, Numerical answer) – Water passes through the horizontal 90° bend and nozzle shown, discharging to the atmosphere. Gauge pressure at section 1–1 is 140 kPa. Inlet diameter…
  60. Question 60 (2 marks, Numerical answer) – A consolidated-undrained triaxial compression test on normally consolidated clay has confining pressure 100 kPa, deviator stress at failure 80 kPa and…
  61. Question 61 (2 marks, Numerical answer) – A 2-hour storm produces a flood hydrograph peak of 200 m³/s with baseflow 20 m³/s. Spatially averaged rainfall is 2 cm over the storm and average loss…
  62. Question 62 (2 marks, Numerical answer) – Four independent sound sources have levels 60, 69, 70 and 79 dB. Find the equivalent combined sound power level in dB.
  63. Question 63 (2 marks, Numerical answer) – Spherical grit particles of radius 0.01 mm and specific gravity 3.0 are to be separated in a settling chamber. Given g=9.81 m/s², liquid density 1000…
  64. Question 64 (2 marks, Numerical answer) – Two wastewater streams A and B have identical ultimate BOD and mix to form stream C. Stream A is at 20°C and stream C at 10°C. A has 5-day BOD 50 mg/L…
  65. Question 65 (2 marks, Numerical answer) – Wastewater of organic concentration 54 mg/L flows at 0.8 m³/day through a tank of dimensions 2 m × 4 m × 2 m. The contents are completely mixed and…