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General Aptitude

10 Questions
GATE→2026→General Aptitude→Verbal Ability
Q1
MCQ[1 Mark]
Suresh said, "I did it yesterday." Which one of the following options is the correct form of this sentence in indirect speech?
GATE→2026→General Aptitude→Quantitative Aptitude
Q2
MCQ[1 Mark]
To continue the sequence of tiles shown, the tile indicated by the question mark should be
Figure for Question 2
GATE→2026→General Aptitude→Quantitative Aptitude
Q3
MCQ[1 Mark]
Consider an art gallery whose walkways are shown as lines in the diagram. A black dot represents a junction of two walkways. A guard may be placed at a junction to watch over the walkways that join at that junction. The minimum number of guards needed to watch all the walkways is
Figure for Question 3
GATE→2026→General Aptitude→Quantitative Aptitude
Q4
MCQ[1 Mark]
The 2nd of June is a Thursday in a certain year. Which day of the week is the 3rd of July in that year?
GATE→2026→General Aptitude→Quantitative Aptitude
Q5
MCQ[1 Mark]
A coin with heads facing up is shown as H and a coin with tails facing up is shown as T. Six coins are placed in the Starting Arrangement, as shown in the figure below. A "step" is defined as interchanging a pair of adjacent coins without flipping them. The minimum number of steps needed to go from the Starting Arrangement to the Final Arrangement, as shown in the figure, is
Figure for Question 5
GATE→2026→General Aptitude→Verbal Ability
Q6
MCQ[2 Marks]
Exacerbate: Mitigate :: Choose the option with the correct pair of words to fill the blank.
GATE→2026→General Aptitude→Quantitative Aptitude
Q7
MCQ[2 Marks]
A paper shown in Panel I is folded along the dashed lines to construct a cube. The shaded regions shown in Panel I appear on the outer surface of the cube. Referring to cubes shown in Panel II, which one of the options is correct?
Figure for Question 7
GATE→2026→General Aptitude→Quantitative Aptitude
Q8
MCQ[2 Marks]
In a population, patients who have high cholesterol also have high blood-pressure (BP). Some patients with high BP also have diabetes. There are no patients who have both high cholesterol and diabetes. Furthermore, 1. the total number of patients with at least one of these conditions is 75, 2. the number of patients with high cholesterol is 10, 3. the number of patients with high BP is 45, and 4. the number of patients with only high BP and no other conditions is 20. Then the number of patients who have both diabetes and high BP is
GATE→2026→General Aptitude→Quantitative Aptitude
Q9
MCQ[2 Marks]
Four people P, Q, R, and S, of different ages, make the following observations. P: I am younger than S. Q: I am neither the youngest nor the oldest. R: P is older than me. Based on these observations, the youngest person is
GATE→2026→General Aptitude→Quantitative Aptitude
Q10
MCQ[2 Marks]
Circles C1C_1, C2C_2, and C3C_3, with centers O1O_1, O2O_2, and O3O_3, and radii r1r_1, r2r_2 and r3r_3, respectively, touch each other as shown in the following figure. Given r1=2r_1 = 2 cm, r2=1r_2 = 1 cm and the angle ∠O1O3O2\angle O_1O_3O_2 is 90∘90^\circ, r3=r_3 = ____ cm.
Figure for Question 10

Mathematics Foundation

9 Questions
GATE→2026→Mathematics Foundation→Linear Algebra
Q11
MCQ[1 Mark]
If 2X+[1234]=[3872]2X + \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix} = \begin{bmatrix} 3 & 8 \\ 7 & 2 \end{bmatrix}, then XX is
GATE→2026→Mathematics Foundation→Calculus
Q12
MCQ[1 Mark]
The correct integral of ∫sin⁡x1+cos⁡xdx\int \frac{\sin x}{\sqrt{1+\cos x}} dx (assuming integral constant as cc) is
GATE→2026→Mathematics Foundation→Calculus
Q13
MCQ[1 Mark]
Given f(x)=3x4+4x3−12x2+6f(x) = 3x^4 + 4x^3 - 12x^2 + 6, the minimum value of f(x)f(x) is
GATE→2026→Mathematics Foundation→Probability and Statistics
Q14
MCQ[1 Mark]
A box contains 26 cards with all English alphabets from A to Z. The probability of randomly choosing the card with either 'E' or 'S' from this box is
GATE→2026→Mathematics Foundation→Probability and Statistics
Q15
MCQ[1 Mark]
Which ONE of the following options is the CORRECT formula for Chi-Square (χ2\chi^2) test?
GATE→2026→Mathematics Foundation→Calculus
Q16
MCQ[2 Marks]
A first-order ordinary differential equation is given as follows: dydx+x2y=0\frac{dy}{dx} + x^2y = 0. Which ONE of the following options CORRECTLY represents the characteristics of this equation?
GATE→2026→Mathematics Foundation→Linear Algebra
Q17
MCQ[2 Marks]
Consider the matrix A=[2232563410]A = \begin{bmatrix} 2 & 2 & 3 \\ 2 & 5 & 6 \\ 3 & 4 & 10 \end{bmatrix}. Which ONE of the following options CORRECTLY lists the eigenvalues of A?
GATE→2026→Mathematics Foundation→Linear Algebra
Q18
MSQ[2 Marks]
A system of linear equations is given as AX=BAX = B, where A=[255−2]A = \begin{bmatrix} 2 & 5 \\ 5 & -2 \end{bmatrix}, B=[73]B = \begin{bmatrix} 7 \\ 3 \end{bmatrix} and XX is the solution vector. Which of the following statements is/are TRUE for this system?
GATE→2026→Mathematics Foundation→Calculus
Q19
NAT[2 Marks]
The area in the first quadrant bounded by the function y=8−xy = 8 - x and the coordinate axes is _____ square units (answer in integer).

Environmental Chemistry

3 Questions
GATE→2026→Environmental Chemistry→Fundamentals of Environmental Chemistry
Q20
MCQ[1 Mark]
In the reversible reaction shown below, kfk_f is the forward reaction rate constant and krk_r is the reverse reaction rate constant. A+B⇌C+DA + B \rightleftharpoons C + D The CORRECT expression representing the reaction equilibrium constant is
GATE→2026→Environmental Chemistry→Atmospheric Chemistry
Q21
MSQ[1 Mark]
Which of the following chemical reactions is/are related to smog formation in the troposphere?
GATE→2026→Environmental Chemistry→Principles of Water Chemistry
Q22
NAT[2 Marks]
The following two reactions describe the chemistry of S(IV) in an aquatic system. (i) SO2(aq)⇌H++HSO3−SO_{2(aq)} \rightleftharpoons H^+ + HSO_3^- (KS1=1.3×10−2 MK_{S1} = 1.3 \times 10^{-2}\text{ M}) (ii) HSO3−⇌H++SO32−HSO_3^- \rightleftharpoons H^+ + SO_3^{2-} (KS2=6.6×10−8 MK_{S2} = 6.6 \times 10^{-8}\text{ M}) If the pH\text{pH} of the system is 4.04.0 and the equilibrium concentration of SO2(aq)SO_{2(aq)} is 1.0 M1.0\text{ M}, the equilibrium concentration of SO32−SO_3^{2-} is _____ mM (rounded off to one decimal place).

Environmental Microbiology

6 Questions
GATE→2026→Environmental Microbiology→Microbial Metabolism
Q23
MCQ[1 Mark]
The major class of enzymes catalyzing the cleavage of C-C, C-O, C-N, or other bonds by elimination, leaving double bonds or rings, or addition of groups to double bonds in any biochemical reactions is
GATE→2026→Environmental Microbiology→Microbiology and Health
Q24
MCQ[1 Mark]
Malaria is caused by pathogenic
GATE→2026→Environmental Microbiology→Cell Chemistry and Cell Biology
Q25
MCQ[2 Marks]
Which ONE of the following options is CORRECT with respect to sequential breakdown of deoxyribonucleic acid (DNA) into lower-molecular weight compounds?
GATE→2026→Environmental Microbiology→Microbial Metabolism
Q26
MSQ[2 Marks]
Which of the following statements is/are CORRECT based on the electron donor (ED) and electron acceptor (EA) used in various bacterial mediated reactions in wastewater treatment?
GATE→2026→Environmental Microbiology→Growth and Control of Microorganisms
Q27
NAT[2 Marks]
In a batch culture experiment, 2 cells of a microorganism were added to a growth medium. During the experiment, a lag phase of 1 hour was first experienced by the added cells, in which no cell multiplication occurred. Afterwards, cells started multiplying exponentially with a doubling time of 1 hour. After total 8 hours of experiment, the number of cells present in the growth medium was _____ (answer in integer).
GATE→2026→Environmental Microbiology→Growth and Control of Microorganisms
Q28
NAT[2 Marks]
A thermal process, at a specific temperature, results in 2-log10 removal of non-thermotolerant pathogenic microorganisms from a water sample in 20 min. The time needed to achieve 99.999% removal of these microorganisms under similar condition is _____ min (answer in integer).

Water Resources and Environmental Hydraulics

6 Questions
GATE→2026→Water Resources and Environmental Hydraulics→Environmental Hydraulics
Q29
MCQ[1 Mark]
Consider the following statements regarding the pressure measured at a point in a fluid. S1: Absolute pressure is gauge pressure plus atmospheric pressure. S2: Gauge pressure is measured by considering absolute zero pressure as datum. S3: Absolute pressure is measured by considering atmospheric pressure as datum. S4: Vacuum pressure is negative pressure obtained by subtracting absolute pressure from atmospheric pressure. Which ONE of the following options lists all the TRUE statements?
GATE→2026→Water Resources and Environmental Hydraulics→Surface Water Resources
Q30
NAT[1 Mark]
A 6-hour rainfall of 6 cm at a station was found to have a return period of 40 years. The probability that a 6-hour rainfall of this or larger magnitude will occur at least once in 20 successive years at that station is _____ (rounded off to three decimal places).
GATE→2026→Water Resources and Environmental Hydraulics→Environmental Hydraulics
Q31
NAT[1 Mark]
Water is flowing at the rate of 15 m3/s15\text{ m}^3/\text{s} through a rectangular channel of 5 m5\text{ m} width. If the acceleration due to gravity (gg) is 9.81 m/s29.81\text{ m/s}^2, the critical velocity for the flow is _____ m/s (rounded off to three decimal places).
GATE→2026→Water Resources and Environmental Hydraulics→Environmental Hydraulics
Q32
NAT[2 Marks]
A cylindrical roller gate of diameter 6.0 m6.0\text{ m} and length 10.0 m10.0\text{ m} is placed on a dam to store water behind it, as shown in figure. The magnitude of the resultant force due to water acting on that gate when the water is about to spill is _____ ×106 N\times 10^6\text{ N} (rounded off to two decimal places). (Consider g=9.81 m/s2g = 9.81\text{ m/s}^2, ρ=1000 kg/m3\rho = 1000\text{ kg/m}^3, π=3.14\pi = 3.14)
Figure for Question 32
GATE→2026→Water Resources and Environmental Hydraulics→Surface Water Resources
Q33
NAT[2 Marks]
The mass curve of a rainfall event of 100 min100\text{ min} duration over a catchment is given in the table. If the initial loss is 0.6 cm0.6\text{ cm} and WW-index is 0.6 cm/hour0.6\text{ cm/hour}, the total surface runoff from the catchment is _____ cm (rounded off to one decimal place). Time (min): 0, 20, 40, 60, 80, 100 Cumulative rainfall (cm): 0, 0.5, 1.2, 2.6, 3.3, 3.5
GATE→2026→Water Resources and Environmental Hydraulics→Groundwater Resources
Q34
NAT[2 Marks]
A well penetrates an unconfined aquifer. The water level (head) in the well prior to pumping is 25 m25\text{ m}. After a long period of pumping at a constant rate of Q=0.05 m3/sQ = 0.05\text{ m}^3/\text{s}, the drawdowns at distances of r1=50 mr_1 = 50\text{ m} and r2=150 mr_2 = 150\text{ m} from the well are observed to be s1=3 ms_1 = 3\text{ m} and s2=1.2 ms_2 = 1.2\text{ m}, respectively. The hydraulic conductivity of the unconfined aquifer is _____ ×10−4 m/s\times 10^{-4}\text{ m/s} (rounded off to two decimal places). (π=3.14\pi = 3.14)

Water & Wastewater Treatment and Management

10 Questions
GATE→2026→Water & Wastewater Treatment and Management→Sewage Treatment, Sludge & Wastewater Management
Q35
MCQ[1 Mark]
Which ONE of the following options CORRECTLY matches the processes associated with the growth condition given in the table?
GATE→2026→Water & Wastewater Treatment and Management→Sewage Treatment, Sludge & Wastewater Management
Q36
MSQ[1 Mark]
Which of the following processes is/are primarily used to remove the organic matter in sludge?
GATE→2026→Water & Wastewater Treatment and Management→Water and Wastewater Quality Parameters & River Pollution
Q37
MSQ[1 Mark]
Which of the following options is/are CORRECTLY listing the species included in Total Kjeldahl Nitrogen (TKN) estimation of an aqueous sample?
GATE→2026→Water & Wastewater Treatment and Management→Water and Wastewater Quality Parameters & River Pollution
Q38
MCQ[2 Marks]
The analysis of a water sample is shown in the table. The hardness of the water sample is _____ mg/L as CaCO3CaCO_3. Atomic weight (g/mol): Ca=40Ca=40, Mg=24Mg=24, Na=23Na=23, Cl=35.5Cl=35.5, S=32S=32, O=16O=16, N=14N=14. Species Concentration (mg/L): Na+=30Na^+ = 30, Ca2+=10Ca^{2+} = 10, Mg2+=15Mg^{2+} = 15, Cl−=30Cl^- = 30, SO42−=60SO_4^{2-} = 60, NO3−=5NO_3^- = 5.
GATE→2026→Water & Wastewater Treatment and Management→Water Treatment Methods & Distribution
Q39
MSQ[2 Marks]
Which of the following options is/are TRUE about reverse osmosis process?
GATE→2026→Water & Wastewater Treatment and Management→Water Treatment Methods & Distribution
Q40
MSQ[2 Marks]
Which of the following options is/are TRUE about coagulation-flocculation process?
GATE→2026→Water & Wastewater Treatment and Management→Kinetics and Reactor Design
Q41
NAT[2 Marks]
Reaction A→BA \rightarrow B follows first-order elementary kinetics and the reaction rate constant for A is 0.01 min−10.01\text{ min}^{-1}. The time taken to reduce the concentration of A from 100 M100\text{ M} to 10 M10\text{ M} in a batch reactor is _____ min (rounded off to one decimal place).
GATE→2026→Water & Wastewater Treatment and Management→Water and Wastewater Quality Parameters & River Pollution
Q42
NAT[2 Marks]
The calibration graph between absorbance and the concentration of chromate (CrO42−CrO_4^{2-}) in a water sample is given by the equation y=0.8003x+0.0055y = 0.8003x + 0.0055. For an absorbance of 0.350.35 in a water sample, the estimated Cr(VI)Cr(VI) concentration is _____ mg/L (rounded off to two decimal places). (Atomic weights: Cr=52Cr = 52, O=16O = 16)
Figure for Question 42
GATE→2026→Water & Wastewater Treatment and Management→Sewage Treatment, Sludge & Wastewater Management
Q43
NAT[2 Marks]
A sewage treatment plant employing activated sludge process is operated under the following conditions: - Wastewater flow rate (QQ) = 0.150 m3/s0.150\text{ m}^3/\text{s} - Soluble BOD5BOD_5 in influent (S0S_0) = 84 mg/L84\text{ mg/L} - Soluble BOD5BOD_5 in effluent (SS) = 11 mg/L11\text{ mg/L} - Mean cell residence time (θc\theta_c) = 5 days5\text{ days} - Total yield coefficient (YY) = 0.5 kg MLVSS/kg BOD50.5\text{ kg MLVSS/kg } BOD_5 removed - Decay rate (kdk_d) = 0.050 day−10.050\text{ day}^{-1} The net waste activated sludge produced in the plant is _____ kg VSS/day\text{kg VSS/day} (rounded off to two decimal places).
GATE→2026→Water & Wastewater Treatment and Management→Kinetics and Reactor Design
Q44
NAT[2 Marks]
A continuous flow stirred tank reactor (CSTR) operates under a steady-state condition with a flow rate of Q=300 L/hourQ = 300\text{ L/hour}. The influent concentration of a substrate entering the reactor is S0=150 mg/LS_0 = 150\text{ mg/L}. To give a treatment efficiency of 76%76\% for the substrate that decays according to half-order kinetics with a rate constant k=0.05 (mg/L)1/2 hr−1k = 0.05\text{ (mg/L)}^{1/2}\text{ hr}^{-1}, the required volume of the reactor is _____ m3\text{m}^3 (answer in integer).

Air and Noise Pollution

9 Questions
GATE→2026→Air and Noise Pollution→Particulate Pollutants: Measurement and Control
Q45
MCQ[1 Mark]
In the design of air pollution control devices, size of the particles that are removed with 50% efficiency is termed as
GATE→2026→Air and Noise Pollution→Atmospheric Processes and Air Quality Parameters
Q46
MCQ[1 Mark]
The general atmospheric composition of gases in the decreasing order is
GATE→2026→Air and Noise Pollution→Atmospheric Processes and Air Quality Parameters
Q47
MCQ[2 Marks]
Which ONE of the following options CORRECTLY matches the Criteria Air Pollutants with measurement methods used in Continuous Ambient Air Quality Stations (CAAQMS) operated by Central Pollution Control Board (CPCB) given in the table?
GATE→2026→Air and Noise Pollution→Air Quality Management and Dispersion Modelling
Q48
MCQ[2 Marks]
Which ONE of the following options CORRECTLY matches the atmospheric stability conditions with plume conditions/ behaviours given in the table?
GATE→2026→Air and Noise Pollution→Air Quality Management and Dispersion Modelling
Q49
MSQ[2 Marks]
Which of the following options is/are CORRECT assumption(s) in the Gaussian plume dispersion model?
GATE→2026→Air and Noise Pollution→Noise Pollution
Q50
NAT[2 Marks]
The sound level measured at various locations in an urban area is given in the table. The average sound level for that area is _____ dBA (rounded off to two decimal places). Location: A (40 dBA), B (65 dBA), C (55 dBA), D (75 dBA)
GATE→2026→Air and Noise Pollution→Atmospheric Processes and Air Quality Parameters
Q51
NAT[2 Marks]
Standard deviation for the particulate matter (PM) concentrations listed in the table is _____ μg/m3\mu\text{g/m}^3 (rounded off to one decimal place). Locations (1 to 7): 65, 45, 55, 60, 40, 50, 35
GATE→2026→Air and Noise Pollution→Atmospheric Processes and Air Quality Parameters
Q52
NAT[2 Marks]
The mixing ratio of CO2CO_2 at a pressure of 1 atm and at 300K is reported as 340 ppmv. Considering ideal gas conditions, the equivalent concentration of CO2CO_2 in air is _____ mg/m3\text{mg/m}^3 (rounded off to two decimal places). (Molecular weight of CO2=44 g/molCO_2 = 44\text{ g/mol}; Universal gas constant =8.314 J/mol-K= 8.314\text{ J/mol-K}; 1 atm=101325 Pa1\text{ atm} = 101325\text{ Pa})
GATE→2026→Air and Noise Pollution→Atmospheric Processes and Air Quality Parameters
Q53
NAT[2 Marks]
In a stack emission measurement at an industry, the stack cross-sectional area at 30 m height was divided into four equal sectors. The measured velocities and SO2SO_2 concentrations through these sectors at this height are given in the table. The mean SO2SO_2 concentration from the stack is _____ mg/m3\text{mg/m}^3 (rounded off to two decimal places). Sector 1: v=15 m/sv = 15\text{ m/s}, C=1000 mg/m3C = 1000\text{ mg/m}^3 Sector 2: v=17 m/sv = 17\text{ m/s}, C=1150 mg/m3C = 1150\text{ mg/m}^3 Sector 3: v=19 m/sv = 19\text{ m/s}, C=1250 mg/m3C = 1250\text{ mg/m}^3 Sector 4: v=21 m/sv = 21\text{ m/s}, C=1275 mg/m3C = 1275\text{ mg/m}^3

Solid and Hazardous Waste Management

4 Questions
GATE→2026→Solid and Hazardous Waste Management→Integrated Solid Waste Management & Municipal Waste
Q54
MCQ[1 Mark]
Which ONE of the following options is NOT a parameter as a part of proximate analysis of municipal solid waste?
GATE→2026→Solid and Hazardous Waste Management→Hazardous Waste Management and Soil Contamination
Q55
MSQ[1 Mark]
Which of the following statements is/are CORRECT in the context of hazardous waste management and its risk assessment?
GATE→2026→Solid and Hazardous Waste Management→Integrated Solid Waste Management & Municipal Waste
Q56
NAT[2 Marks]
An anaerobic digestion system is operated for methane gas generation from organic fraction of municipal solid waste (OFMSW). - Moisture content = 20%20\% - Volatile solids (VS) content = 90%90\% (on dry basis) - Biodegradable volatile solids (BVS) in VS = 70%70\% - BVS conversion efficiency to methane = 85%85\% - Methane gas generation rate = 12 m312\text{ m}^3 per kg of BVS converted The total volume of methane gas produced from one kilogram of OFMSW is _____ m3\text{m}^3 (rounded off to two decimal places).
GATE→2026→Solid and Hazardous Waste Management→Integrated Solid Waste Management & Municipal Waste
Q57
NAT[2 Marks]
The characteristics of two types of solid waste are given in the table. The quantity of sludge to be added to leaves to achieve a C/N ratio of 25 (on dry basis) for the mixed waste is _____ kg of sludge/kg of leaves (rounded off to three decimal places). - Leaves: Moisture = 0.70.7, C/N ratio = 5050, Nitrogen content = 50%50\% - Sludge: Moisture = 6.36.3?, C/N ratio = 7575, Nitrogen content = 5.6%5.6\%

Global and Regional Environmental Issues

2 Questions
GATE→2026→Global and Regional Environmental Issues→Ecology, Biodiversity & Population Growth
Q58
MCQ[1 Mark]
A species whose impact on an ecosystem is disproportionately large in comparison to its population is called _____ species.
GATE→2026→Global and Regional Environmental Issues→Global Effects of Air Pollution & Climate Change
Q59
MSQ[1 Mark]
Which of the following statements is/are TRUE about global warming?

Environmental Management and Sustainable Development

6 Questions
GATE→2026→Environmental Management and Sustainable Development→Environmental Law, Policy, and Treaties
Q60
MCQ[1 Mark]
Which ONE of the following principles is directly related to environmental compensation?
GATE→2026→Environmental Management and Sustainable Development→Sustainable Development and Economics
Q61
MCQ[1 Mark]
As per the United Nations General Assembly resolution adopted in 2015 "Transforming Our World: The 2030 Agenda for Sustainable Development", the number of sustainable development goals (SDGs) is
GATE→2026→Environmental Management and Sustainable Development→Environmental Management Systems & Impact Assessment
Q62
MCQ[1 Mark]
Which ONE of the following options CORRECTLY matches the ISO series with their usages in environmental management system (EMS) given in the table?
GATE→2026→Environmental Management and Sustainable Development→Environmental Management Systems & Impact Assessment
Q63
MSQ[1 Mark]
Which of the following options is/are directly associated with the steps involved in carrying out life cycle assessment (LCA)?
GATE→2026→Environmental Management and Sustainable Development→Environmental Management Systems & Impact Assessment
Q64
NAT[2 Marks]
The concentration of chemical A in ambient air is 50 μg/m350\text{ }\mu\text{g/m}^3 and the toxicological index limit for a threshold health effect for this chemical is 5 mg5\text{ mg}. If the average breathing rate is 4 L/min4\text{ L/min}, the minimum time of exposure that can lead to any health effect is _____ days (rounded off to one decimal place).
GATE→2026→Environmental Management and Sustainable Development→Energy and Environment
Q65
NAT[2 Marks]
An agricultural land can support energy crops yield to produce 7000 L7000\text{ L} of bioethanol per hectare and energy content of bioethanol is 21 MJ/L21\text{ MJ/L}. This bioethanol displaces fossil-based petrol. The CO2CO_2 offset potential of land used for growing energy crops as a bioethanol feedstock is _____ ×106 g of CO2/hectare\times 10^6\text{ g of } CO_2\text{/hectare} (rounded off to one decimal place). (CO2CO_2 footprints: 10 g10\text{ g} and 80 g of CO2 per MJ80\text{ g of } CO_2\text{ per MJ} for bioethanol and petrol, respectively)