The GATE Grind

GATE 2022 ES – Previous Year Questions with Solutions

All 65 questions of GATE 2022 ES 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) – Mr. X speaks Japanese Chinese.
  2. Question 2 (1 mark, Multiple choice) – Money is divided among P, Q, R, S in the ratio 5:2:4:3. R gets ₹1000 more than S. Find Q’s share in rupees.
  3. Question 3 (1 mark, Multiple choice) – A trapezium has vertices P, Q, R, S in anticlockwise order, PQ∥SR, and side lengths PQ=11,QR=4,RS=6,SP=3 cm. Find the shortest distance between its…
  4. Question 4 (1 mark, Multiple choice) – The figure is a 4×4 grid of unit squares with the unshaded cell representing a hole. How many squares can be formed using the unit cells without a…
  5. Question 5 (1 mark, Multiple choice) – The diagram shows an art gallery with opaque boundary walls. A stationary guard has a 360° view. Which set lists all marked locations P, Q, R, S from…
  6. Question 6 (2 marks, Multiple choice) – Passage: Mosquitoes threaten human health. Chemical control may have undesired consequences. Florida authorities have used genetically modified…
  7. Question 7 (2 marks, Multiple choice) – Find the simultaneous solution of 2x−1>7 and 2x−9<1.
  8. Question 8 (2 marks, Multiple choice) – P=(0,1),Q=(0,−3),R=(−2,−1),S=(2,−1) are the vertices of a quadrilateral. Find its enclosed area.
  9. Question 9 (2 marks, Multiple choice) – Exactly one of P, Q, R, S, T copied in an exam. P says “R copied”;Q says “S copied”;R says “P did not copy”;S says “Only one of us is telling the…
  10. Question 10 (2 marks, Multiple choice) – In the square shown, P, Q, R, S mark its corners and T its center. X is a 180° rotation about diagonal SQ;Y a 180° rotation about diagonal PR;Z a 90°…
  11. Question 11 (1 mark, Multiple choice) – Arsenic concentrations (mg/L) are .10,.12,.20,.05,.40,.30,.35. Which describes their distribution?
  12. Question 12 (1 mark, Multiple choice) – A normal population yields sample25.8,36.6,26.3,21.8,27.2. Given one-sided t critical value2.132 at 5% significance with 4 degrees of freedom, select…
  13. Question 13 (1 mark, Multiple choice) – For s>0, find the Laplace transform of f(x)=(ax).
  14. Question 14 (1 mark, Multiple choice) – P is m×n, Q is n×l, R and S are n×n. Assess I:(PQ)T=QTPT; II:(RS)-1=S-1R-1.
  15. Question 15 (1 mark, Multiple choice) – Specific conductance indirectly estimates dissolved solids in water. Which species contribute to the measurement?
  16. Question 16 (1 mark, Multiple choice) – Ten litres of sample is membrane-filtered. The membrane is transferred to coliform-selective agar, incubated37°C for 48 h, and yields an average64…
  17. Question 17 (1 mark, Multiple choice) – Which statement about reverse-transcriptase PCR for pathogen detection is NOT correct?
  18. Question 18 (1 mark, Multiple choice) – I: Goodrich reservoir routing is a hydrologic flood-routing method. II: Muskingum channel routing is a hydraulic flood-routing method. Select the…
  19. Question 19 (1 mark, Multiple choice) – Choose the standard decreasing order of hydraulic conductivity.
  20. Question 20 (1 mark, Multiple choice) – Centrifugal-pump connections are shown. Solid arrow denotes suction and dotted arrow delivery. Which is correctly connected?
  21. Question 21 (1 mark, Multiple choice) – For recarbonation,1 L solution contains 1 mol/L supersaturated calcium carbonate. How many grams CO₂ completely convert it to dissolved calcium ions?
  22. Question 22 (1 mark, Multiple choice) – River water has pH4 and suspended solids100 mg/L. With alum, which coagulation mechanism is expected?
  23. Question 23 (1 mark, Multiple choice) – Which is the most common raw material in flue-gas desulfurization?
  24. Question 24 (1 mark, Multiple choice) – Which treatment statement is correct for leachate from a legacy municipal-waste dump?
  25. Question 25 (1 mark, Multiple choice) – Which statement regarding global warming is correct?
  26. Question 26 (1 mark, Multiple choice) – Which ecosystem statement is NOT correct?
  27. Question 27 (1 mark, Multiple choice) – Which defines extended producer responsibility?
  28. Question 28 (1 mark, Multiple select) – For Gibbs free-energy change ΔG, select all correct statements.
  29. Question 29 (1 mark, Multiple select) – For molasses-distillery and wood-based pulp/paper effluents, which statements are NOT correct?
  30. Question 30 (1 mark, Multiple select) – Which methods measure ambient PM₂.₅?
  31. Question 31 (1 mark, Multiple select) – For composting kitchen peelings, select all correct statements.
  32. Question 32 (1 mark, Multiple select) – Under India’s Hazardous and Other Wastes Rules2016, import is NOT permitted for which purposes?
  33. Question 33 (1 mark, Multiple select) – Which changes were proposed by the draft EIA Notification2020 relative to 2006?
  34. Question 34 (1 mark, Numerical answer) – Find x0(1+x-1)/x, to one decimal.
  35. Question 35 (1 mark, Numerical answer) – A triangular2-hour unit hydrograph for 1 cm excess over 540 ha is shown. Find peak discharge in m³/s, to one decimal.
  36. Question 36 (2 marks, Multiple choice) – For y+4y=0, y(0)=0 and y(0)=1, identify problem and solution.
  37. Question 37 (2 marks, Multiple choice) – Find eigenvalues of pmatrix0&1\\-2&3pmatrix.
  38. Question 38 (2 marks, Multiple choice) – For exponential microbial growth with specific rate μ, find doubling time t d.
  39. Question 39 (2 marks, Multiple choice) – A continuous culture is at steady state with HRT24 h and growth rate μ₁. HRT is reduced to 12 h, and a new non-washout steady state has rate μ₂. Which…
  40. Question 40 (2 marks, Multiple choice) – Which statement is NOT correct for a batch reactor?
  41. Question 41 (2 marks, Multiple choice) – In bag filtration, arrange mechanisms for particles of decreasing size.
  42. Question 42 (2 marks, Multiple choice) – Independent sources have sound-power levels30 dB background,80 dB television and 70 dB radio. Reference sound power10⁻¹² W. Find combined level.
  43. Question 43 (2 marks, Multiple select) – Which statements are NOT correct for nighttime tropospheric chemistry?
  44. Question 44 (2 marks, Multiple select) – A plasmid-free bacterial cell has one chromosome and dry-mass composition55% protein,3% DNA,21% RNA. At least2500 protein types are expressed. Which…
  45. Question 45 (2 marks, Multiple select) – Rivers X, Y have reaeration constants .92,1.12 day⁻¹ and deoxygenation constants .23,.35 day⁻¹ respectively. Select correct statements.
  46. Question 46 (2 marks, Multiple select) – Which CSTR/PFR comparison statements are NOT correct?
  47. Question 47 (2 marks, Multiple select) – Under India’s2009 National Ambient Air Quality Standards, select correct averaging-time statements.
  48. Question 48 (2 marks, Multiple select) – Temperature–height profiles P, Q, R are shown. For ground-level emissions, select correct statements.
  49. Question 49 (2 marks, Multiple select) – Under India’s Solid Waste Management Rules2016, select correct statements.
  50. Question 50 (2 marks, Multiple select) – Which phosphorus-cycle statements are NOT correct?
  51. Question 51 (2 marks, Multiple select) – Select correct National Green Tribunal statements.
  52. Question 52 (2 marks, Numerical answer) – Find area enclosed by y=x, y=3x and x=0,x=1, to one decimal.
  53. Question 53 (2 marks, Numerical answer) – Emails arrive60% corporate,30% Gmail,5% Yahoo,5% Zoho. Spam fractions are1%,2%,3%,3% respectively, with the same spam filter. Find probability a…
  54. Question 54 (2 marks, Numerical answer) – Water at pH6 contains .001 mol/L zinc ions. Zinc hydroxide Ksp=8×10⁻¹⁸ (mol/L)³. Ignore activities. Find reaction quotient/Ksp, to two decimals.
  55. Question 55 (2 marks, Numerical answer) – CO₂ Henry constant at 25°C is .034 M/atm in neutral water. CO₂·H₂O⇌H⁺+HCO₃⁻ has K₁=4.3×10⁻⁷ M; HCO₃⁻⇌H⁺+CO₃²⁻ has K₂=4.7×10⁻¹¹ M. Ambient CO₂300 ppm.…
  56. Question 56 (2 marks, Numerical answer) – A 3-hour storm covers zones15%,35%,50% with φ-indices .5,1.0,.8 cm/h. Their hourly rainfall triples (cm) are(.4,2.5,1.6),(.8,3.0,2.1),(.6,2.6,1.9).…
  57. Question 57 (2 marks, Numerical answer) – Reservoir levels differ20 m across a 2 km long,5 m thick confined aquifer. K=.003 m/s, porosity .3. Find advective contaminant travel time in days, to…
  58. Question 58 (2 marks, Numerical answer) – A water venturimeter and mercury differential manometer are shown. Mercury SG13.6,water specific weight9810 N/m³. Find p Q−p P in Pa, to one decimal.
  59. Question 59 (2 marks, Numerical answer) – Reservoirs differ10 m in level and connect through 50 m of .10 m pipe, friction factor .02. Replace the final25 m with .20 m pipe of the same…
  60. Question 60 (2 marks, Numerical answer) – A hydraulically efficient rectangular channel has Manning n=1/80,slope .01 and discharge64 m³/s. Find depth in m, to two decimals.
  61. Question 61 (2 marks, Numerical answer) – Water filters at .002 m/s through .67 m of uniform .4 mm spherical sand, SG2.65,porosity .35. Water density998.2 kg/m³,viscosity .001002 Pa s. Use…
  62. Question 62 (2 marks, Numerical answer) – A 10 MLD aerobic plant operates at 80% capacity. Inlet/outlet BOD100/30 mg/L;observed biomass yield .5 g VSS/g BOD. Find sludge production in kg/day,…
  63. Question 63 (2 marks, Numerical answer) – A centrifuge treats1000 L/h water containing2 g/L suspended solids. It captures99% of solids into slurry at 20 g per 100 mL. Find supernatant flow in…
  64. Question 64 (2 marks, Numerical answer) – A ground source emits1000 g/day SO₂. Temperature is 25°C at 10 m and 24.5°C at 110 m;wind2 m/s. At1 km,σy/σz (m) are50.5/21.4 stable,80/41.5…
  65. Question 65 (2 marks, Numerical answer) – A waste-to-energy furnace receives70 kg/h waste and 300 kcal/h sensible heat in air. Outputs are90000 kcal/h flue gas,10000 kcal/h ash, and heat…