The GATE Grind

GATE 2020 CE (CE1) – Previous Year Questions with Solutions

All 65 questions of GATE 2020 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) – It is a common criticism that most academicians live in their , so they are not aware of real-life challenges.
  2. Question 2 (1 mark, Multiple choice) – His hunger for reading is insatiable. He reads indiscriminately. He is most certainly a/an reader.
  3. Question 3 (1 mark, Multiple choice) – Select the word fitting the analogy: Fuse : Fusion :: Use : .
  4. Question 4 (1 mark, Multiple choice) – If 0, 1, 2, …, 7, 8, 9 are coded as O, P, Q, …, V, W, X, then 45 is coded as .
  5. Question 5 (1 mark, Multiple choice) – Two positive numbers sum to 100. Subtracting 5 from each makes the product zero. Which is one original number?
  6. Question 6 (2 marks, Multiple choice) – The American psychologist Howard Gardner expounds that human intelligence can be sub-categorised into multiple kinds, in such a way that individuals…
  7. Question 7 (2 marks, Multiple choice) – Five friends P, Q, R, S and T camped and had to sleep in a row inside a tent. P, Q and T refused to sleep next to R because he snored loudly. P and S…
  8. Question 8 (2 marks, Multiple choice) – Insert seven numbers between 2 and 34 so the resulting sequence, including the endpoints, is an arithmetic progression. Find the sum of the inserted…
  9. Question 9 (2 marks, Multiple choice) – Find the units digit of 26591749110016.
  10. Question 10 (2 marks, Multiple choice) – The pie chart shows a family’s monthly expenditure. Find how much extra is spent on education compared with transport, in percent.
  11. Question 11 (1 mark, Multiple choice) – In D()2 z2+ K() z- t=0, θ is a function of t and z, and D and K are functions of θ. Classify the equation.
  12. Question 12 (1 mark, Multiple choice) – Evaluate x(x2-5x+4)/(4x2+2x).
  13. Question 13 (1 mark, Multiple choice) – True ln(2) is 0.69. Estimate ln(2) by linear interpolation between ln(1) and ln(6). Find absolute percentage error, rounded to the nearest integer.
  14. Question 14 (1 mark, Multiple choice) – Find area enclosed by x2/a2+y2/b2=1.
  15. Question 15 (1 mark, Multiple choice) – The planar truss is shown, not to scale. Neglecting member self-weight, find the number of zero-force members under load P.
  16. Question 16 (1 mark, Multiple choice) – A reinforcing steel bar, partially embedded in concrete, is subjected to tensile force P. Which figure represents the magnitude distribution of bond…
  17. Question 17 (1 mark, Multiple choice) – A two-dimensional stress state at P is []=bmatrix xx& xy\\ xy& yybmatrix. Find the necessary and sufficient condition for pure shear on rotated axes.
  18. Question 18 (1 mark, Multiple choice) – As dicalcium silicate (C 2S) content in cement clinker increases, heat of hydration .
  19. Question 19 (1 mark, Multiple choice) – The Los Angeles test for stone aggregates examines .
  20. Question 20 (1 mark, Multiple choice) – Which statement is NOT correct?
  21. Question 21 (1 mark, Multiple choice) – SPT is performed every 1.5 m to 30 m depth. At depth 3 m, blows for three successive 150 mm penetrations are 8, 6 and 9. Find recorded N at 3 m.
  22. Question 22 (1 mark, Multiple choice) – Darcy’s law makes velocity proportional to the first power of hydraulic gradient. It applies to .
  23. Question 23 (1 mark, Multiple choice) – A body floating in liquid is in stable equilibrium when its .
  24. Question 24 (1 mark, Multiple choice) – Uniform flow of speed U makes angle θ with the y-axis as shown. Find velocity potential φ.
  25. Question 25 (1 mark, Multiple choice) – For one month an agricultural field has pan evaporation 100 mm, effective rainfall 20 mm after runoff/deep-percolation losses, crop coefficient 0.4…
  26. Question 26 (1 mark, Multiple choice) – Aqueous chlorine reacts with water: Cl 2+H 2O HOCl+Cl-+H+. Which is the most active disinfectant?
  27. Question 27 (1 mark, Multiple choice) – 35.67 mg HCl is added to distilled water to make 1 litre solution. Atomic weights H = 1 and Cl = 35.5. Neglect water dissociation. Find pH.
  28. Question 28 (1 mark, Numerical answer) – Find probability that a 50-year flood does NOT occur at all during 25 project years, to two decimal places.
  29. Question 29 (1 mark, Numerical answer) – The shown planar elastic parabolic structure has span 8.0 m, rise 2.4 m and uniformly distributed load 12 kN/m. Neglect self-weight. Find maximum…
  30. Question 30 (1 mark, Numerical answer) – An urban median separates opposing traffic streams. As per IRC:86-1983, find desirable minimum median width (m), expressed as an integer.
  31. Question 31 (1 mark, Numerical answer) – A hill road has 4.5% gradient and a horizontal curve of radius 100 m. The gradient must be eased for combined horizontal and vertical curvature. As…
  32. Question 32 (1 mark, Numerical answer) – A sand sample fails in drained triaxial compression at deviator stress 150 kPa and confining pressure 50 kPa. Find friction angle (degrees), nearest…
  33. Question 33 (1 mark, Numerical answer) – A fully submerged infinite sandy slope has inclination 30°, saturated unit weight 18 kN/m³ and effective friction angle 38°. Water unit weight is 10…
  34. Question 34 (1 mark, Numerical answer) – A 4 m wide rectangular channel carries 6 m³/s. Manning n = 0.02 and g = 9.81 m/s². Find critical velocity (m/s), to two decimals.
  35. Question 35 (1 mark, Numerical answer) – A river carries 1000 MLD with BOD5 = 5 mg/L and DO = 8 mg/L. Saturation DO is 10 mg/L. Wastewater enters at 100 MLD with BOD5 = 200 mg/L and DO = 2…
  36. Question 36 (2 marks, Multiple choice) – Solve x-5x+6x=0 with x(0) = 0 and x(0)=10.
  37. Question 37 (2 marks, Multiple choice) – For a continuous function f, choose the fourth-order central finite-difference approximation to f(x i), with step h.
  38. Question 38 (2 marks, Multiple choice) – A distributed load 50 kN/m may occupy any continuous or separate patches on girder PQRST shown. Find maximum negative (hogging) bending moment at R…
  39. Question 39 (2 marks, Multiple choice) – The shown rigid weightless platform PQRS slides freely vertically, held by weightless member OJ and four weightless frictionless rollers. O and J are…
  40. Question 40 (2 marks, Multiple choice) – The shown cantilever PQ of uniform flexural rigidity EI has concentrated moment M at midpoint R. Find free-end Q deflection.
  41. Question 41 (2 marks, Multiple choice) – A dowel is placed at a concrete contraction joint. Contraction cracks occur at predetermined locations. Which arrangement shows correct dowel…
  42. Question 42 (2 marks, MTA) – Traffic flow q and density D are related as shown. Which depicts the shock-wave condition?
  43. Question 43 (2 marks, Multiple choice) – Clearway design length is calculated for normal take-off. Which diagram correctly depicts the clearway? Figures are not to scale.
  44. Question 44 (2 marks, Multiple choice) – The shown total-stress paths start from isotropic consolidation O, with p=( 1+2 3)/3, q= 1- 3. Loading conditions: I compression loading ( 1…
  45. Question 45 (2 marks, Multiple choice) – The shown 10 m soil profile receives instantaneous uniform surcharge 70 kPa. Groundwater is 3 m below ground. Layer unit weights are shown; take water…
  46. Question 46 (2 marks, Multiple choice) – A hydraulic jump occurs in a 6 m wide rectangular channel carrying 12 m³/s, with upstream depth 30 cm. Take g = 9.81 m/s² and water density 1000…
  47. Question 47 (2 marks, Multiple choice) – A water scheme transports 10 MLD through a 450 mm pipe for 2.5 km. Chlorine dose at entry is 3.50 mg/L for the required downstream disinfection. Flow…
  48. Question 48 (2 marks, Multiple choice) – Open traverse PQRST has consecutive coordinates (m): PQ N110.2 E45.5; QR N80.6 W60.1; RS S90.7 W70.8; ST S105.4 E55.5. Starting P has…
  49. Question 49 (2 marks, Numerical answer) – C is the straight segment from (0,0,0) to (1,1,1). Evaluate C[(y+z)dx+(x+z)dy+(x+y)dz], expressed as an integer.
  50. Question 50 (2 marks, Numerical answer) – For bmatrix1&3&2\\2&2&-3\\4&4&-6\\2&5&2bmatrixbmatrixx 1\ 2\ 3bmatrix=bmatrix1\\1\\2\\1bmatrix, find x 3, nearest integer.
  51. Question 51 (2 marks, Numerical answer) – A rigid uniform weightless horizontal bar connects three vertical members P, Q and R, each of axial stiffness 10 kN/mm. P and R rest on a rigid…
  52. Question 52 (2 marks, Numerical answer) – The doubly symmetric built-up section shown has flange/web plates joined by continuous 10 mm fillet welds. About X–X, I=7.73106 mm⁴. Permissible weld…
  53. Question 53 (2 marks, Numerical answer) – The shown singly reinforced concrete beam uses M25 concrete and Fe500 steel. Tension-steel area is 942 mm². As per IS 456:2000 limit-state design,…
  54. Question 54 (2 marks, Numerical answer) – A simply supported prismatic rectangular concrete beam of span 8 m has effective prestressing force 600 kN. Tendon eccentricity is zero at supports…
  55. Question 55 (2 marks, MTA) – Traffic on a 2-lane road requires upgrading for severe flow. Maximum service flow is 1280 vehicles/h/lane at level C. Peak-hour factor is 0.78125,…
  56. Question 56 (2 marks, Numerical answer) – A 5 m high vertical retaining wall supports soil with unit weight 18 kN/m³, effective cohesion 12 kPa and effective friction angle 30°. Using Rankine…
  57. Question 57 (2 marks, Numerical answer) – Upward water flow passes through 2.5 m saturated sand in the shown tank. Sand void ratio is 0.58, specific gravity 2.7 and water unit weight 10 kN/m³.…
  58. Question 58 (2 marks, Numerical answer) – A submerged 10 m clay layer rests on 3 m sand over an impervious stratum as shown. A 2 m fill of unit weight 20 kN/m³ is placed above the clay. Clay c…
  59. Question 59 (2 marks, Numerical answer) – Reservoirs P, Q and R connect through pipes at junction S as shown. Piezometric head at S is 100 m; pipe S–R length is 180 m. Take g = 9.81 m/s² and…
  60. Question 60 (2 marks, Numerical answer) – An unconfined homogeneous aquifer of area 3.00 km² initially has water table elevation 102.00 m. Natural recharge of 0.90 million m³ raises it to…
  61. Question 61 (2 marks, Numerical answer) – A 2 m diameter circular tank has a 0.1 m diameter bottom orifice with discharge coefficient 0.8. Inflow is steady at 20 L/s. Take g = 9.81 m/s² and…
  62. Question 62 (2 marks, Numerical answer) – A primary discrete-settling tank has surface overflow rate 20000 L/(m²·day). Water kinematic viscosity is 0.0101 cm²/s; particle specific gravity is…
  63. Question 63 (2 marks, Numerical answer) – A gas concentration is 41.6 μmol/m³ at 1 atm and 293 K. With R=82.0510-6 m³·atm/(mol·K) and ideal gas behavior, find concentration (ppm), to one…
  64. Question 64 (2 marks, Numerical answer) – A stream carries 5 m³/s with ultimate BOD 30 mg/L. Wastewater of 0.20 m³/s and BOD5 = 500 mg/L mixes instantly and completely. Stream area remains 40…
  65. Question 65 (2 marks, Numerical answer) – Traverse PQRS has lengths and whole-circle bearings: PQ 40 m at 80°, QR 50 m at 10°, RS 30 m at 210°. Find closing segment SP length (m), to two…