The GATE Grind

GATE 2025 ES – Previous Year Questions with Solutions

All 65 questions of GATE 2025 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) – Courage : Bravery :: Yearning : Select the most appropriate option to complete the analogy.
  2. Question 2 (1 mark, Multiple choice) – We tennis in the lawn when it suddenly started to rain. Select the most appropriate option to complete the above sentence.
  3. Question 3 (1 mark, Multiple choice) – A 4 × 4 digital image has pixel intensities (U) as shown in the figure. The number of pixels with U 4 is: 0 1 0 2 --- --- --- --- 4 7 3 3 5 5 4 4 6 7…
  4. Question 4 (1 mark, Multiple choice) – In the given figure, the numbers associated with the rectangle, triangle, and ellipse are 1, 2, and 3, respectively. Which one among the given options…
  5. Question 5 (1 mark, Multiple choice) – A rectangle has a length L and a width W, where L > W. If the width, W, is increased by 10%, which one of the following statements is correct for all…
  6. Question 6 (2 marks, Multiple choice) – Column-I has statements made by Shanthala; and, Column-II has responses given by Kanishk. Column-I Column-II --- --- P. This house is in a mess. 1.…
  7. Question 7 (2 marks, Multiple choice) – Weight of a person can be expressed as a function of their age. The function usually varies from person to person. Suppose this function is identical…
  8. Question 8 (2 marks, Multiple choice) – A regular dodecagon (12-sided regular polygon) is inscribed in a circle of radius r cm as shown in the figure. The side of the dodecagon is d cm. All…
  9. Question 9 (2 marks, Multiple choice) – If a real variable x satisfies 3x2 = 27 9x, then the value of 2x2(2x)2 is:
  10. Question 10 (2 marks, Multiple choice) – The number of patients per shift (X) consulting Dr. Gita in her past 100 shifts is shown in the figure. If the amount she earns is ₹ 1000(X - 0.2),…
  11. Question 11 (1 mark, Multiple choice) – For s> a ,find the Laplace transform of f(x)= ax.
  12. Question 12 (1 mark, Multiple choice) – Find the general solution of d2y/dx2+4y=0.
  13. Question 13 (1 mark, Multiple choice) – Classify P= n=11/n and Q= n=11/n2.
  14. Question 14 (1 mark, Multiple choice) – Which reaction is a redox reaction?
  15. Question 15 (1 mark, Multiple choice) – Which process is performed by autotrophic bacteria?
  16. Question 16 (1 mark, Multiple choice) – For flood routing: P Hydrologic routing uses continuity and momentum equations. Q Hydraulic routing uses continuity and energy equations. Choose the…
  17. Question 17 (1 mark, Multiple choice) – For gradually varied flow, P states y n>y c>y in an M3 profile; Q states y n<y c<y in an S1 profile. Here y n,y c,y are normal, critical and actual…
  18. Question 18 (1 mark, Multiple choice) – Match reactor types 1 Plug flow,2 Continuously stirred tank,3 Batch with diagrams x, y, z. The stirrer symbol denotes mixing; diagrams are not to…
  19. Question 19 (1 mark, Multiple choice) – In zero liquid discharge, a multiple-effect evaporator is commonly used for
  20. Question 20 (1 mark, Multiple choice) – P:Under India’s 2009 NAAQS, the annual time-weighted PM 10 standard exceeds the PM 2.5 standard. Q:Under the National AQI released in 2015,the PM 10…
  21. Question 21 (1 mark, Multiple choice) – Which components are most likely in the segregated combustible fraction of mixed municipal waste?
  22. Question 22 (1 mark, Multiple choice) – Match i SDG6,ii SDG11,iii SDG3,iv SDG12 with p Good Health and Well-being, q Responsible Consumption and Production, r Sustainable Cities and…
  23. Question 23 (1 mark, Multiple choice) – Which description applies to the Basel Convention?
  24. Question 24 (1 mark, Multiple select) – Consider (i) Pollutant concentrations are generally modeled as lognormal;(ii) concentrations are generally Poisson;(iii) weekly exceedance frequency…
  25. Question 25 (1 mark, Multiple select) – Select the correct statements on microorganism structure and reproduction.
  26. Question 26 (1 mark, Multiple select) – For nitrification:(i) acceptor type differs between Nitrosomonas and Nitrobacter;(ii) predominant carbon source is organic matter;(iii) predominant…
  27. Question 27 (1 mark, Multiple select) – A researcher uses a conventional Gaussian plume model to estimate New Delhi pollution caused by nearby-state stubble burning, which emits particles,…
  28. Question 28 (1 mark, Multiple select) – Which statements about plastic waste management are correct?
  29. Question 29 (1 mark, Multiple select) – Which displayed flowsheets correctly produce RDF from segregated dry waste collected in blue municipal-waste containers? Select all that apply.
  30. Question 30 (1 mark, Multiple select) – Which statements about lichens are correct?
  31. Question 31 (1 mark, Multiple select) – Methane hydrates trap methane in a water-crystal structure. Which statements are correct?
  32. Question 32 (1 mark, Multiple select) – Which statements about urban environments are correct?
  33. Question 33 (1 mark, Multiple select) – Which statements about cumulative toxicity are correct?
  34. Question 34 (1 mark, Numerical answer) – Evaluate x0(1+x)/(2 x),to two decimal places.
  35. Question 35 (1 mark, Numerical answer) – An unconfined aquifer covers 20 km×20 km, has conductivity 4 m/day, porosity .32,specific yield .18 and initial saturated thickness 30 m. Extract 4108…
  36. Question 36 (2 marks, Multiple choice) – A researcher adds HgCl 2 to water at pH 10 and calculates expected mercury concentration from the added mass. An instrument measuring only free Hg2+…
  37. Question 37 (2 marks, Multiple choice) – Label regions I–IV of the phosphoric-acid speciation diagram.
  38. Question 38 (2 marks, Multiple choice) – For microbial metabolism:(i) carbon use for cell synthesis is anabolism;(ii) during catabolism ATP is converted to ADP. Choose the correct option.
  39. Question 39 (2 marks, Multiple choice) – The ASP diagram labels flow Q, substrate S, microorganisms X, and aeration volume V. Subscripts 0,r, w, e, i denote influent, recycle, waste,…
  40. Question 40 (2 marks, Multiple choice) – Consider:(i) sound pressure changes with distance from the source;(ii) sound power is a source property;(iii) sound intensity is sound power per unit…
  41. Question 41 (2 marks, Multiple choice) – At 1 atm and 25°C, a pollutant concentration of 365 µg/m³ corresponds to 139 ppb. Atomic weights are C12,H1,O16,N14,S32. Which pollutant is the…
  42. Question 42 (2 marks, Multiple choice) – Which gives the best dioxin/furan control for waste-incinerator flue gas?
  43. Question 43 (2 marks, Multiple select) – Which statements about water solubility are correct?
  44. Question 44 (2 marks, Multiple select) – Under substrate-unlimited conditions in Monod kinetics, which statements are correct?
  45. Question 45 (2 marks, Multiple select) – Which options remove solids from water? Select all that apply.
  46. Question 46 (2 marks, Multiple select) – According to the Bio-Medical Waste Management Rules,2016,which statements are correct?
  47. Question 47 (2 marks, Numerical answer) – A family compares yearly pollution-related health costs. City1 has high exposure probability .1/cost10 lakh, mild .4/cost8 lakh, and low .5/cost4…
  48. Question 48 (2 marks, Numerical answer) – Solve x-2y+z=34, 2x+y+z=102, x+y-3z=17. Find x+y+z,to two decimals.
  49. Question 49 (2 marks, Numerical answer) – Evaluate 0(4x)/( x)\,dx,to two decimals.
  50. Question 50 (2 marks, Numerical answer) – A stirred tank initially has 500 L brine at 200 g/L. Feed at 100 g/L enters at 15 L/min and an equal fully mixed flow leaves. The equation is…
  51. Question 51 (2 marks, Numerical answer) – Aerobic biomass yield on glucose is .4 g/g. Glucose has molecular weight 180 g/mol and biomass is C 5H 7O 2N with molecular weight 113 g/mol. With no…
  52. Question 52 (2 marks, Numerical answer) – The shown storm hyetograph produces 12.5 mm direct runoff. Find its φ-index in mm/hour, to two decimals.
  53. Question 53 (2 marks, Numerical answer) – Subcatchments P, Q, R, S have areas 750,1000,1500,2000 ha;runoff coefficients .5,.6,.6,.7;and concentration times 1,2,3,4 hours. The catchment and…
  54. Question 54 (2 marks, Numerical answer) – A confined aquifer is 30 m thick with K=5 m/day and porosity .3. Observation wells X, Y are at radii100,200 m from a fully penetrating pumping well.…
  55. Question 55 (2 marks, Numerical answer) – Pipeline O–P–Q–R divides into parallel branches X, Y, Z between P and Q. Dimensions are shown. All pipes have friction factor .02;use g=10 m/s². The…
  56. Question 56 (2 marks, Numerical answer) – A circular sewer with Manning n=.01 and slope1:100 flows80% full at 2 m³/s. Find diameter in metres, to three decimals.
  57. Question 57 (2 marks, Numerical answer) – A batch test reduces a first-order toxic compound from 210-3 M to 210-4 M in 10 min. At the same temperature, a field plug-flow reactor treats1…
  58. Question 58 (2 marks, Numerical answer) – A 2 MLD treatment plant uses RO. TDS rejection is 95%,water recovery70%,and feed TDS8000 ppm. Find reject-stream TDS in g/L, to one decimal.
  59. Question 59 (2 marks, Numerical answer) – A boiler burns1 kg/s coal containing3% sulfur. Assume all sulfur becomes SO₂ and no sulfur remains in ash. Find SO₂ emissions in integer kg/day.
  60. Question 60 (2 marks, Numerical answer) – A dispersoid has spherical equal-density particles. Diameters1,10,100 µm have respective counts1000,500,10 and number-removal efficiencies99%,75%,10%.…
  61. Question 61 (2 marks, Numerical answer) – An incandescent bulb used2 hours/day consumes12.2 kWh/month. Coal electricity yield is 2 kWh/kg and PM₁₀ emission is 7 g/kg coal. An LED uses…
  62. Question 62 (2 marks, Numerical answer) – A street sweeper starts at P, ends at S, and must traverse every street at least once. Edge lengths in km are shown. Find the minimum total distance…
  63. Question 63 (2 marks, Numerical answer) – Waste C 60H 135O 50N 5 is composted aerobically. All ammonia escapes;air contains 23% oxygen by mass and actual air is 100% above stoichiometric.…
  64. Question 64 (2 marks, Numerical answer) – An industry emits CO₂5 kg/day, CH₄.5 kg/day, and N₂O.1 kg/day, but flares all methane before release. GWP factors are CO₂1,CH₄21,N₂O310. Find annual…
  65. Question 65 (2 marks, Numerical answer) – Hand-pump water near a landfill contains 1 mg/L arsenic. Oral cancer potency is 1.75 (kg·day)/mg. A 70 kg person drinks2 L/day for 10 years;average…