The GATE Grind

GATE 2021 AR – Previous Year Questions with Solutions

All 65 questions of GATE 2021 AR 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) – Which sentences are grammatically correct? (i) Arun and Aparna are here. (ii) Arun and Aparna is here. (iii) Arun’s families is here. (iv) Arun’s…
  2. Question 2 (1 mark, Multiple choice) – Which option is the mirror image of PHYLAXIS about the horizontal x-axis shown?
  3. Question 3 (1 mark, Multiple choice) – Two fair six-faced dice numbered 1–6 are rolled independently. Find the probability of an even number on each.
  4. Question 4 (1 mark, Multiple choice) – Define p q=p-q and p q=pq. Evaluate (9(67))(7(65)).
  5. Question 5 (1 mark, Multiple choice) – P, Q, R, S sit in a row, with R forbidden from the second position from the left. How many distinct arrangements are possible?
  6. Question 6 (2 marks, Multiple choice) – From O, travel 3 units east and 4 south to P. Move northeast until reaching a point 6 units east of O, then northwest to Q, which is 8 units north of…
  7. Question 7 (2 marks, Multiple choice) – The author notes that musicians and actors rehearse and says it is no less important for public speakers to rehearse their talks. Which conclusion…
  8. Question 8 (2 marks, Multiple choice) – Some football players play cricket. All cricket players play hockey. Which conclusion necessarily follows?
  9. Question 9 (2 marks, Multiple choice) – In square PQRS of side r, the shaded lens is the overlap of quarter-circles of radius r centred at S and Q. Find the probability that a uniformly…
  10. Question 10 (2 marks, Multiple choice) – In an equilateral triangle, the sides are divided into 4, 6 and 8 equal parts respectively, each part having integer length in cm. Find the minimum…
  11. Question 11 (1 mark, Multiple choice) – Under NBC 2016, what is the function of an Automatic Rescue Device?
  12. Question 12 (1 mark, Multiple choice) – Which acronym represents a thermal-comfort index?
  13. Question 13 (1 mark, MTA) – Which listed Indian satellite sensor can be used for very-high-resolution urban mapping?
  14. Question 14 (1 mark, Multiple choice) – What is the smallest entity of raster data in GIS?
  15. Question 15 (1 mark, Multiple choice) – What is the correct order of stages in brick firing?
  16. Question 16 (1 mark, Multiple choice) – What are Industry Foundation Classes(IFC) in BIM?
  17. Question 17 (1 mark, Multiple choice) – In Gordon Cullen’s urban-design terminology, Rashtrapati Bhavan, New Delhi, is the example asked for under which concept?
  18. Question 18 (1 mark, Multiple choice) – A wastewater pipe falls at 1:200 between two inspection chambers 40 m apart. The first invert level is−450 mm. Find the second invert level.
  19. Question 19 (1 mark, Multiple choice) – Match bid-rent diagrams P, Q, R to their land-use categories under Alonso’s theory.
  20. Question 20 (1 mark, Multiple choice) – Which urban land-use model represents a polycentric city?
  21. Question 21 (1 mark, Multiple choice) – Besides suction lift and discharge lift, what enters the total head against which a pump works?
  22. Question 22 (1 mark, Multiple choice) – Which two components form time of concentration in the stormwater context given?
  23. Question 23 (1 mark, Multiple choice) – In congested-network assignment, all used routes between an OD pair have equal travel time, no greater than an unused route. What is this condition?
  24. Question 24 (1 mark, Multiple choice) – What is the dependent variable in a regression-based trip-generation model?
  25. Question 25 (1 mark, Multiple choice) – What curve is traced by a point on a circle rolling without slipping inside another circle?
  26. Question 26 (1 mark, Multiple choice) – Who first proposed the Law of the Primate City?
  27. Question 27 (1 mark, Multiple choice) – The European megalopolitan corridor encompassing London, Paris, Brussels, Amsterdam, Cologne, Frankfurt, Munich and Milan is identified in the source…
  28. Question 28 (1 mark, MTA) – What is the urban-governance tool that permits additional FAR above the prescribed FAR in return for a fee?
  29. Question 29 (1 mark, Multiple choice) – What palette uses three equally spaced hues on a colour wheel?
  30. Question 30 (1 mark, Multiple choice) – Coefficient of Performance(COP) is used to calculate which listed energy-efficiency measure?
  31. Question 31 (1 mark, Multiple choice) – Freight flows are converted to truck flows using which factor?
  32. Question 32 (1 mark, Multiple choice) – Which concrete property is assessed by a rebound-hammer test?
  33. Question 33 (1 mark, Multiple choice) – Which temporary support is suitable when rebuilding the lower part of a ground-floor load-bearing wall above plinth level?
  34. Question 34 (1 mark, Multiple choice) – What causes soft-storey failure during an earthquake in the context given?
  35. Question 35 (1 mark, Multiple choice) – Order the contract activities P bid opening, Q security-deposit submission, R Notice Inviting Tender publication, S Letter of Intent issue, T Earnest…
  36. Question 36 (2 marks, Multiple choice) – Match P LCA, Q IPCC, R Mtoe, S LEED with 1 building certification, 2 hydrological assessment, 3 climate change, 4 equivalent energy measure, 5…
  37. Question 37 (2 marks, Multiple choice) – Match photographed buildings P, Q, R, S with architects 1 Renzo Piano, 2 Daniel Libeskind, 3 David Childs, 4 Frank Owen Gehry, 5 Norman Foster.
  38. Question 38 (2 marks, Multiple choice) – Match P Washington Charter, Q Florence Charter, R Venice Charter, S Burra Charter with 1 historic gardens, 2 culturally significant places, 3…
  39. Question 39 (2 marks, Multiple choice) – Match P School for Spastic Children, New Delhi(Romi Khosla), Q Jawahar Kala Kendra, Jaipur(Charles Correa), R Capitol Complex, Chandigarh(Le…
  40. Question 40 (2 marks, Multiple choice) – Match P Shalimar Bagh, Srinagar; Q Pherozeshah Mehta Garden, Mumbai; R Lalbagh, Bengaluru; S Nek Chand’s Garden, Chandigarh with 1 hanging garden, 2…
  41. Question 41 (2 marks, Multiple choice) – Match impurities P fine suspended matter, Q pathogenic bacteria, R colour/odour/taste, S floating leaves with processes 1 aeration, 2 plain…
  42. Question 42 (2 marks, Multiple choice) – Match P Badami cave temples, Q Kalugumalai temple complex, R Airavatesvara temple, S Chennakeshava temple with 1 Pandya, 2 Chola, 3 Chalukya, 4…
  43. Question 43 (2 marks, Multiple choice) – Match P Trabantenstädte, Q Linear City, R Bloomsbury Precinct, S Radiant City with 1 Arturo Soria y Mata, 2 Le Corbusier, 3 Ernst May, 4 Frank Lloyd…
  44. Question 44 (2 marks, Multiple choice) – Match labelled classical elements P, Q, R, S with 1 cornice, 2 stylobate, 3 stereobate, 4 abacus, 5 frieze.
  45. Question 45 (2 marks, Multiple choice) – Match feet positions P, Q, R, S with stability descriptions 1 stable antero-posteriorly, 2 laterally stable, 3 fairly stable in all directions, 4…
  46. Question 46 (2 marks, Multiple choice) – Match P Empire State Building, Q John Hancock Center, R Taipei 101, S Sears Tower with 1 trussed tube, 2 bundled tube, 3 tube-in-tube, 4 outrigger…
  47. Question 47 (2 marks, Multiple select) – Which cycle-track design statements are correct under the IRC guidelines cited?
  48. Question 48 (2 marks, Multiple select) – Under the 2013 land-acquisition Act, for which purposes can the urgency clause be invoked?
  49. Question 49 (2 marks, Multiple select) – Which listed international instruments concern climate change/global warming?
  50. Question 50 (2 marks, Multiple select) – Which algorithms find shortest paths in a transport network?
  51. Question 51 (2 marks, Multiple select) – Which statements about surface paint are correct according to the source item?
  52. Question 52 (2 marks, Multiple select) – Under Solid Waste Management Rules 2016, which are duties of waste generators?
  53. Question 53 (2 marks, Multiple select) – Which statements describe the activated-sludge process?
  54. Question 54 (2 marks, Numerical answer) – A hall measures 8×14×4 m and has four 1.5×1.0 m windows and two 1×2 m doors. Wall, floor and ceiling absorption coefficient is 0.2; closed…
  55. Question 55 (2 marks, Numerical answer) – A wall has external surface conductance 20 W/m²/°C, solar absorptance 0.66 and U-value 1.2 W/m²/°C. Find its solar-gain factor, to two decimals.
  56. Question 56 (2 marks, Numerical answer) – A property initially costs₹400000 and has 30 years future life. Scrap value is 10% of initial cost. At 5% interest, find the annual year-end…
  57. Question 57 (2 marks, Numerical answer) – A level at Q reads 3.5 m on a staff at P, whose RL is 96.5 m. Instrument height above Q is 1.25 m. Find RL of Q in metres, to two decimals.
  58. Question 58 (2 marks, Numerical answer) – A 180 m diameter circular cricket field has four equally spaced perimeter floodlight towers 48 m high. Each tower has fifty 700 W lamps. Centre…
  59. Question 59 (2 marks, Numerical answer) – A building occupies a 70×40 m plot with utilised FAR 1.5. Its average monthly electricity bill is₹294000 at₹7/kWh. Find Building Energy Index in…
  60. Question 60 (2 marks, Numerical answer) – A simply supported steel I-beam spans 8 m under 15 kN/m UDL. Overall depth 450 mm and second moment of area 18000 cm⁴. Find maximum bending stress in…
  61. Question 61 (2 marks, Numerical answer) – A solid circular column has diameter 300 mm and effective length 3 m. Find slenderness ratio, as an integer.
  62. Question 62 (2 marks, Numerical answer) – Activities P, Q, R, S, T have durations 2, 4, 5, 6, 3 weeks. P’s successor is R; Q’s successors are R and S; R’s successor is T; S and T have none.…
  63. Question 63 (2 marks, Numerical answer) – A room is 1.8×2.4 m internally. Ceramic tiles are 300×300 mm. A 900 mm door is flush with the internal wall face and has no skirting across its…
  64. Question 64 (2 marks, MTA) – Four eight-storey MIG towers, each with identical 400 m² floor area per storey, use 75% of permitted FAR. Three seven-storey LIG towers use the…
  65. Question 65 (2 marks, MTA) – For the wall section shown, brickwork is 100 mm on each side of a 50 mm cavity, with 10 mm plaster on each exposed face. Printed brick/plaster…