OpenMentor Logo
GATE-openmentor
Type:

General Aptitude

10 Questions
GATE→2022→General Aptitude→Verbal Ability
Q1
MCQ[1 Mark]
Mr. X speaks _____ Japanese _____ Chinese.
GATE→2022→General Aptitude→Quantitative Aptitude
Q2
MCQ[1 Mark]
A sum of money is to be distributed among P, Q, R, and S in the proportion 5:2:4:3, respectively. If R gets 1000 more than S, what is the share of Q (in ₹)?
GATE→2022→General Aptitude→Quantitative Aptitude
Q3
MCQ[1 Mark]
A trapezium has vertices marked as P, Q, R and S (in that order anticlockwise). The side PQ is parallel to side SR. Further, it is given that, PQ=11PQ = 11 cm, QR=4QR = 4 cm, RS=6RS = 6 cm and SP=3SP = 3 cm. What is the shortest distance between PQ and SR (in cm)?
GATE→2022→General Aptitude→Quantitative Aptitude
Q4
MCQ[1 Mark]
The figure shows a grid formed by a collection of unit squares. The unshaded unit square in the grid represents a hole. What is the maximum number of squares without a "hole in the interior" that can be formed within the 4×44 \times 4 grid using the unit squares as building blocks?
Figure for Question 4
GATE→2022→General Aptitude→Quantitative Aptitude
Q5
MCQ[1 Mark]
An art gallery engages a security guard to ensure that the items displayed are protected. The diagram below represents the plan of the gallery where boundary walls are opaque. The location the security guard posted is identified such that all the inner space (shaded region) is within the line of sight. Which one of the following correctly represents the set of ALL possible locations among P, Q, R and S, where the security guard can be posted?
Figure for Question 5
GATE→2022→General Aptitude→Verbal Ability
Q6
MCQ[2 Marks]
Mosquitoes pose a threat to human health. Controlling mosquitoes using chemicals may have undesired consequences. In Florida, authorities have used genetically modified mosquitoes to control the overall mosquito population. It remains to be seen if this novel approach has unforeseen consequences. Which one of the following is the correct logical inference based on the information in the above passage?
GATE→2022→General Aptitude→Quantitative Aptitude
Q7
MCQ[2 Marks]
Consider the following inequalities: (i) 2x−1>72x - 1 > 7 (ii) 2x−9<12x - 9 < 1 Which one of the following expressions below satisfies the above two inequalities?
GATE→2022→General Aptitude→Quantitative Aptitude
Q8
MCQ[2 Marks]
Four points P(0,1)P(0,1), Q(0,−3)Q(0,-3), R(−2,−1)R(-2,-1), and S(2,−1)S(2,-1) represent the vertices of a quadrilateral. What is the area enclosed by the quadrilateral?
GATE→2022→General Aptitude→Quantitative Aptitude
Q9
MCQ[2 Marks]
In a class of five students P, Q, R, S and T, only one student is known to have copied in the exam. The disciplinary committee has investigated the situation and recorded the statements from the students as given below: - P: R has copied. - Q: S has copied. - R: P did not copy. - S: Only one of us is telling the truth. - T: R is telling the truth. Given that S never lies, the person who has copied in the exam is
GATE→2022→General Aptitude→Quantitative Aptitude
Q10
MCQ[2 Marks]
Consider the following square with the four corners and the center marked as P, Q, R, S and T respectively. Let X, Y and Z represent the following operations: - X: rotation of the square by 180 degree with respect to the S-Q axis. - Y: rotation of the square by 180 degree with respect to the P-R axis. - Z: rotation of the square by 90 degree clockwise with respect to the axis perpendicular, going into the screen and passing through the point T. Consider the following three distinct sequences of operation: (1) XYZZ, (2) XY, (3) ZZZZ. Which one of the following statements is correct?
Figure for Question 10

Mathematics Foundation

9 Questions
GATE→2022→Mathematics Foundation→Probability and Statistics
Q11
MCQ[1 Mark]
A student reported following arsenic concentrations in water samples (mg/L): 0.10,0.12,0.20,0.05,0.40,0.30,0.350.10, 0.12, 0.20, 0.05, 0.40, 0.30, 0.35. Which one of the following is a correct statement about arsenic concentration distribution?
GATE→2022→Mathematics Foundation→Probability and Statistics
Q12
MCQ[1 Mark]
X is normally distributed with following data (25.8,36.6,26.3,21.8,27.225.8, 36.6, 26.3, 21.8, 27.2). Select the correct statement about X:
GATE→2022→Mathematics Foundation→Calculus
Q13
MCQ[1 Mark]
Assuming s>0s > 0; Laplace transform for f(x)=sin⁡axf(x) = \sin ax is
GATE→2022→Mathematics Foundation→Linear Algebra
Q14
MCQ[1 Mark]
Given P is m×nm \times n matrix, Q is n×ln \times l matrix, R and S are n×nn \times n matrices, and superscript T denotes transpose. Consider: Relationship 1: (PQ)T=QTPT(PQ)^T = Q^T P^T Relationship 2: (RS)−1=S−1R−1(RS)^{-1} = S^{-1} R^{-1} Which one of the following is correct?
GATE→2022→Mathematics Foundation→Calculus
Q15
NAT[1 Mark]
lim⁡x→01+x−1x\lim_{x \to 0} \frac{\sqrt{1+x} - 1}{x} is _____ (rounded off to one decimal place).
GATE→2022→Mathematics Foundation→Calculus
Q16
MCQ[2 Marks]
Given y=f(x)y = f(x); d2ydx2+4y=0\frac{d^2y}{dx^2} + 4y = 0; y(0)=0y(0) = 0; dydx(0)=1\frac{dy}{dx}(0) = 1. The problem is a/an
GATE→2022→Mathematics Foundation→Linear Algebra
Q17
MCQ[2 Marks]
Eigenvalues of the matrix [01−23]\begin{bmatrix} 0 & 1 \\ -2 & 3 \end{bmatrix} are
GATE→2022→Mathematics Foundation→Calculus
Q18
NAT[2 Marks]
The area of the region (rounded off to one decimal place) enclosed between the curves y=xy = x and y=3xy = 3\sqrt{x} and between the lines x=0x = 0 and x=1x = 1 is _____ units.
GATE→2022→Mathematics Foundation→Probability and Statistics
Q19
NAT[2 Marks]
An individual has four different email accounts. 60%60\% of emails come into his corporate account, 30%30\% come into his gmail account and remaining 10%10\% are equally divided into his yahoo and zoho accounts. Only 1%1\% of the emails in his corporate accounts are spam, whereas corresponding percentages for gmail, yahoo and zoho accounts are 2%2\%, 3%3\% and 3%3\%, respectively. Assuming that the same spam filter is used in all the four email accounts, the probability (in percentage, rounded off to one decimal place) of having a randomly selected email as spam is _____.

Environmental Chemistry

4 Questions
GATE→2022→Environmental Chemistry→Principles of Water Chemistry
Q20
MCQ[1 Mark]
Carbon dioxide is used in recarbonation process. A solution has 1 mole/L1\text{ mole/L} supersaturated calcium carbonate. Estimated amount of carbon dioxide (in grams) needed to completely convert calcium carbonate to calcium ions in 1 litre1\text{ litre} solution is
GATE→2022→Environmental Chemistry→Fundamentals of Environmental Chemistry
Q21
MSQ[1 Mark]
If G represents Gibbs free energy, select the correct statement(s):
GATE→2022→Environmental Chemistry→Principles of Water Chemistry
Q22
NAT[2 Marks]
A solution has 0.001 mole/L0.001\text{ mole/L} zinc ions having pH of 66. Solubility product of zinc hydroxide is given as 8×10−18 (mole/L)38 \times 10^{-18}\text{ (mole/L)}^3. Ignoring activity corrections, the ratio (rounded off to two decimal places) of reaction coefficient to solubility product would be
GATE→2022→Environmental Chemistry→Principles of Water Chemistry
Q23
NAT[2 Marks]
The Henry's law constant of CO2CO_2 is 3.4×10−2 M per atm3.4 \times 10^{-2}\text{ M per atm} in neutral water at 25∘C25^\circ\text{C}. The dissolved CO2CO_2 (CO2⋅H2OCO_2 \cdot H_2O) at equilibrium undergoes the following reactions: CO2⋅H2O⇌H++HCO3−CO_2 \cdot H_2O \rightleftharpoons H^+ + HCO_3^- (K1=4.3×10−7 MK_1 = 4.3 \times 10^{-7}\text{ M}) HCO3−⇌H++CO32−HCO_3^- \rightleftharpoons H^+ + CO_3^{2-} (K2=4.7×10−11 MK_2 = 4.7 \times 10^{-11}\text{ M}) If ambient CO2CO_2 concentration is 300 ppm300\text{ ppm}, the total dissolved CO2CO_2 (in μM\mu\text{M}, rounded off to one decimal place) is

Environmental Microbiology

5 Questions
GATE→2022→Environmental Microbiology→Growth and Control of Microorganisms
Q24
MCQ[1 Mark]
Ten litres of the sample was filtered through a membrane filter and the filter was transferred to solid agar media which supports growth of coliform organisms. After incubation at 37∘C37^\circ\text{C} for 48 hours, the agar plates showed an average of 64 colonies per plate. What was the average concentration of coliform organisms (in Colony Forming Units per unit volume) in the original water sample?
GATE→2022→Environmental Microbiology→Prokaryotic and Eukaryotic Microorganisms
Q25
MCQ[1 Mark]
Reverse Transcriptase Polymerase Chain Reaction is an analytical procedure used in detection of pathogenic microorganisms. Which one of the following statements is NOT correct in this context?
GATE→2022→Environmental Microbiology→Growth and Control of Microorganisms
Q26
MCQ[2 Marks]
For an exponentially growing microbial culture, the specific growth rate (μ\mu) is related to its doubling time (tdt_d) by which one of the following relations?
GATE→2022→Environmental Microbiology→Growth and Control of Microorganisms
Q27
MCQ[2 Marks]
A microbial culture, with a specific growth rate of μ1\mu_1 (per hour), is being grown in a continuous reactor at steady state with hydraulic retention time (HRT) of 24 hours. This reactor is subjected to a perturbation by reducing the HRT to 12 hours. The reactor recovers from the perturbation and comes to a new steady state with a new specific growth rate of μ2\mu_2 (per hour). Which one of the following statements is correct?
GATE→2022→Environmental Microbiology→Cell Chemistry and Cell Biology
Q28
MSQ[2 Marks]
A typical plasmid-free bacterial cell having a single chromosome consists of ~55% protein, ~3% DNA and ~21% RNA... Which of the following statement(s) is/are NOT correct with respect to the number of intracellular DNA, RNA and protein molecules?

Water Resources and Environmental Hydraulics

9 Questions
GATE→2022→Water Resources and Environmental Hydraulics→Surface Water Resources
Q29
MCQ[1 Mark]
Consider the following statements: Statement 1: Goodrich method for reservoir routing is based on hydrologic flood routing method. Statement 2: Muskingum method for channel routing is based on hydraulic flood routing method. Which one of the following is correct?
GATE→2022→Water Resources and Environmental Hydraulics→Groundwater Resources
Q30
MCQ[1 Mark]
The correct order of hydraulic conductivity for the geologic formations is
GATE→2022→Water Resources and Environmental Hydraulics→Environmental Hydraulics
Q31
MCQ[1 Mark]
Centrifugal pumps with suction pipe (shown by solid arrow) and delivery pipe (shown by dotted arrow) are shown in the figures. Choose the option that gives the correct connection
Figure for Question 31
GATE→2022→Water Resources and Environmental Hydraulics→Surface Water Resources
Q32
NAT[1 Mark]
The following figure shows a 2-hour unit hydrograph (1 cm1\text{ cm} rainfall excess) for a catchment area of 540 hectare540\text{ hectare}. The peak discharge (in m3/s\text{m}^3/\text{s}, rounded off to one decimal place) of the above unit hydrograph is _____.
Figure for Question 32
GATE→2022→Water Resources and Environmental Hydraulics→Surface Water Resources
Q33
NAT[2 Marks]
An isolated storm of 3 hours occurred over a catchment area in the following manner: - Area 1 (15%): Rainfall (0.4, 2.5, 0.5 cm), WW-index = 1.6 cm/h - Area 2 (35%): Rainfall (0.8, 3.0, 1.0 cm), WW-index = 2.1 cm/h - Area 3 (50%): Rainfall (0.8, 0.6, 2.6 cm), WW-index = 1.9 cm/h Total rainfall excess (in cm, rounded off to one decimal place) over the catchment for the above storm is
GATE→2022→Water Resources and Environmental Hydraulics→Groundwater Resources
Q34
NAT[2 Marks]
Two reservoirs having a difference of 20 m20\text{ m} in their water surface elevations are connected through a confined aquifer (thickness =5 m= 5\text{ m}, length =2 km= 2\text{ km}, hydraulic conductivity K=3×10−3 m/sK = 3 \times 10^{-3}\text{ m/s}, and porosity η=0.3\eta = 0.3) as shown in the following figure. If the Reservoir 1 is contaminated by a pollutant then the time (in days, rounded off to one decimal place) taken by the pollutant to reach to the Reservoir 2 under advection will be
Figure for Question 34
GATE→2022→Water Resources and Environmental Hydraulics→Environmental Hydraulics
Q35
NAT[2 Marks]
A venturimeter along with a differential manometer was installed to measure flow in a water pipeline as shown in the following figure. Taking specific weight of water as 9810 N/m39810\text{ N/m}^3, the pressure difference (in Pa, rounded off to one decimal place) between point Q and P is
Figure for Question 35
GATE→2022→Water Resources and Environmental Hydraulics→Environmental Hydraulics
Q36
NAT[2 Marks]
Two reservoirs having a difference of 10 m10\text{ m} in their water surface elevations are connected by a pipeline (diameter =10 cm= 10\text{ cm}, length =50 m= 50\text{ m}, and friction factor f=0.02f = 0.02). If the last 25 m25\text{ m} length of the pipeline is replaced by a same material pipe of diameter 20 cm20\text{ cm} then neglecting minor losses the discharge (in %, rounded off to one decimal place) will increase by
GATE→2022→Water Resources and Environmental Hydraulics→Environmental Hydraulics
Q37
NAT[2 Marks]
The depth of flow (in m, rounded off to two decimal places) in a hydraulically efficient rectangular channel (n=1/80n = 1/80) to carry a discharge of 64 m3/s64\text{ m}^3/\text{s} at bed slope 0.010.01 is _____.

Water & Wastewater Treatment and Management

9 Questions
GATE→2022→Water & Wastewater Treatment and Management→Water and Wastewater Quality Parameters & River Pollution
Q38
MCQ[1 Mark]
Specific conductance is used in water analysis to indirectly estimate dissolved solids. The measurements used in the method accounts for
GATE→2022→Water & Wastewater Treatment and Management→Water Treatment Methods & Distribution
Q39
MCQ[1 Mark]
A river water sample has pH of 4 and suspended solids concentration of 100 mg/L100\text{ mg/L}. If, alum is chosen as a coagulant, what will be the coagulation mechanism?
GATE→2022→Water & Wastewater Treatment and Management→Sewage Treatment, Sludge & Wastewater Management
Q40
MSQ[1 Mark]
For effluents generated by a molasses based distillery and wood based pulp and paper industry, which of the following statement(s) is/are NOT correct?
GATE→2022→Water & Wastewater Treatment and Management→Kinetics and Reactor Design
Q41
MCQ[2 Marks]
Which one of the following statements is NOT correct with respect to a batch reactor?
GATE→2022→Water & Wastewater Treatment and Management→Water and Wastewater Quality Parameters & River Pollution
Q42
MSQ[2 Marks]
Average values of the re-aeration rate constant for river X and river Y are 0.92 per day0.92\text{ per day} and 1.12 per day1.12\text{ per day}, respectively. Average de-oxygenation rate constants for the same rivers are 0.23 per day0.23\text{ per day} and 0.35 per day0.35\text{ per day} respectively. Then, which of the following statement(s) is/are correct?
GATE→2022→Water & Wastewater Treatment and Management→Kinetics and Reactor Design
Q43
MSQ[2 Marks]
Which of the following statement(s) is/are NOT correct while comparing continuously stirred tank reactor (CSTR) and plug flow reactor (PFR)?
GATE→2022→Water & Wastewater Treatment and Management→Water Treatment Methods & Distribution
Q44
NAT[2 Marks]
Clean water is passed through a bed of uniform spherical sand at a filtration velocity of 0.002 m/sec0.002\text{ m/sec}. The sand grains are 0.4 mm0.4\text{ mm} in diameter and have a specific gravity of 2.652.65. Bed depth is 0.67 m0.67\text{ m} and porosity (η\eta) is 0.350.35. Given: water density =998.2 kg/m3= 998.2\text{ kg/m}^3; water dynamic viscosity =1.002×10−3 Pa⋅s= 1.002 \times 10^{-3}\text{ Pa}\cdot\text{s}. Friction factor (ff) is given as: f=1.75+{150×(1−η)/Re}f = 1.75 + \{150 \times (1 - \eta) / Re\}. The headloss (in m, rounded off to three decimal places) calculated using the Carmen-Kozney equation is
GATE→2022→Water & Wastewater Treatment and Management→Sewage Treatment, Sludge & Wastewater Management
Q45
NAT[2 Marks]
A sewage treatment plant with a capacity of 10 million litres per day (MLD)10\text{ million litres per day (MLD)} is treating the sewage through an aerobic biological process. The inlet and outlet BOD are measured as 100100 and 30 mg/l30\text{ mg/l}, respectively. If the mixed microbial culture has an observed biomass yield of 0.5 g Volatile Suspended Solids (VSS)/g BOD0.5\text{ g Volatile Suspended Solids (VSS)/g BOD}, the sludge production rate (in kg per day, rounded off to one decimal place) when the plant is operating at 80%80\% capacity is
GATE→2022→Water & Wastewater Treatment and Management→Water Treatment Methods & Distribution
Q46
NAT[2 Marks]
A centrifuge is processing 1000 litres per hour1000\text{ litres per hour} of water containing 2 g per litre2\text{ g per litre} of suspended solids. The thickened slurry coming out of the centrifuge has solids concentration of 20 g per 100 ml20\text{ g per 100 ml}. If the centrifuge has 99%99\% efficiency based on solids separation, the flow rate (in litres per hour, rounded off to one decimal place) of the supernatant stream will be

Air and Noise Pollution

8 Questions
GATE→2022→Air and Noise Pollution→Particulate Pollutants: Measurement and Control
Q47
MCQ[1 Mark]
Which one of the following is most commonly used raw material in flue gas desulfurization units?
GATE→2022→Air and Noise Pollution→Atmospheric Processes and Air Quality Parameters
Q48
MSQ[1 Mark]
PM2.5PM_{2.5} concentrations in ambient air can be measured using
GATE→2022→Air and Noise Pollution→Particulate Pollutants: Measurement and Control
Q49
MCQ[2 Marks]
A bag filter is used for removal of particulate matter having a range of sizes. The correct sequence of air filtration mechanisms for their removal, in order of decreasing size, is
GATE→2022→Air and Noise Pollution→Noise Pollution
Q50
MCQ[2 Marks]
A relatively calm room has background sound power level (SPL) of 30 decibels (dB)30\text{ decibels (dB)}. A television and a radio with SPL of 80 dB80\text{ dB} and 70 dB70\text{ dB}, respectively, started operating simultaneously in this room. Given the reference sound power is 10−12 Watts10^{-12}\text{ Watts}, what will be the resulting SPL in the room, assuming all the sources operate independently?
GATE→2022→Air and Noise Pollution→Atmospheric Processes and Air Quality Parameters
Q51
MSQ[2 Marks]
During night, in troposphere, which of the following is/are NOT correct?
GATE→2022→Air and Noise Pollution→Atmospheric Processes and Air Quality Parameters
Q52
MSQ[2 Marks]
According to the National Ambient Air Quality Standards (Central Pollution Control Board, Govt. of India, notification 2009) which of the following statement(s) is/are correct?
GATE→2022→Air and Noise Pollution→Air Quality Management and Dispersion Modelling
Q53
MSQ[2 Marks]
Consider the figure shown below for three different cases (Case P, Case Q, Case R): Which of the following statement(s) is/are correct for surface level emissions, given the environmental temperature?
Figure for Question 53
GATE→2022→Air and Noise Pollution→Air Quality Management and Dispersion Modelling
Q54
NAT[2 Marks]
A ground level source emits 1000 g per day1000\text{ g per day} of SO2SO_2. In vicinity of the source, ambient temperature is measured at 10 m10\text{ m} and 110 m110\text{ m} as 25∘C25^\circ\text{C} and 24.5∘C24.5^\circ\text{C}, respectively. The mean wind speed is found to be 2 m per second2\text{ m per second}. The dispersion coefficients at 1000 m1000\text{ m} downwind distance from the source are given in table below... Estimated ground level concentration (in μg/m3\mu\text{g/m}^3, rounded off to two decimal places) of SO2SO_2 at a downwind distance of 1000 m1000\text{ m} (at the plume centerline) from the source is

Solid and Hazardous Waste Management

5 Questions
GATE→2022→Solid and Hazardous Waste Management→Hazardous Waste Management and Soil Contamination
Q55
MCQ[1 Mark]
Leachate generated from a legacy municipal solid waste dumping site has to be collected and managed carefully. Which one of the following statements is correct in the context of treatment of leachate from such a site?
GATE→2022→Solid and Hazardous Waste Management→Integrated Solid Waste Management & Municipal Waste
Q56
MSQ[1 Mark]
Biodegradable wastes like vegetable peelings from kitchen are usually processed by composting techniques. Which of the following option(s) regarding the processing of biodegradable wastes is/are correct?
GATE→2022→Solid and Hazardous Waste Management→Hazardous Waste Management and Soil Contamination
Q57
MSQ[1 Mark]
As per 'Hazardous and Other Wastes (Management and Transboundary Movement) Rules, 2016 of Govt. of India, the import of hazardous and other wastes from any country shall NOT be permitted for which of the following option(s)?
GATE→2022→Solid and Hazardous Waste Management→Integrated Solid Waste Management & Municipal Waste
Q58
MSQ[2 Marks]
As per the Solid Waste Management Rules of 2016 (Govt. of India), which of the following statement(s) is/are correct?
GATE→2022→Solid and Hazardous Waste Management→Integrated Solid Waste Management & Municipal Waste
Q59
NAT[2 Marks]
Figure below gives the heat inflow into the furnace of a waste-to-energy plant along with the heat outflows from the furnace. - Inflows: Waste (HeatHeat), Air (300 kcal/h300\text{ kcal/h}) - Outflows: Flue gas (90,000 kcal/h90,000\text{ kcal/h}), Ash (10,000 kcal/h10,000\text{ kcal/h}), Heat losses (3%3\% of heat released while burning waste) Assume: (i) total heat loss equal to 3%3\% of heat released while burning waste, (ii) sensible heat of the waste is negligible, (iii) complete burning of the waste is ensured. If the waste feed rate into this plant is 70 kg/h70\text{ kg/h}, the heat content of the waste (in kcal/kg, rounded off to one decimal place) is
Figure for Question 59

Global and Regional Environmental Issues

3 Questions
GATE→2022→Global and Regional Environmental Issues→Global Effects of Air Pollution & Climate Change
Q60
MCQ[1 Mark]
Which one of the following statements is correct regarding Global warming?
GATE→2022→Global and Regional Environmental Issues→Ecology, Biodiversity & Population Growth
Q61
MCQ[1 Mark]
In context of ecosystems, which one of the following is NOT a correct statement?
GATE→2022→Global and Regional Environmental Issues→Global Effects of Air Pollution & Climate Change
Q62
MSQ[2 Marks]
Carbon cycle, nitrogen cycle and phosphorus cycle play important role in the ecosystems. Which of the following statement(s) is/are NOT correct about the phosphorus cycle?

Environmental Management and Sustainable Development

3 Questions
GATE→2022→Environmental Management and Sustainable Development→Environmental Law, Policy, and Treaties
Q63
MCQ[1 Mark]
Which one of the following statements correctly defines the concept of 'Extended Producer's Responsibility'?
GATE→2022→Environmental Management and Sustainable Development→Environmental Management Systems & Impact Assessment
Q64
MSQ[1 Mark]
The Ministry of Environment, Forest and Climate Change (MoEF&CC), Govt. of India has published the Environment Impact Assessment (EIA) draft Notification 2020, intended to replace the existing EIA Notification, 2006 under the Environment (Protection) Act, 1986. Which of the following is/are the key change(s) from existing regulation?
GATE→2022→Environmental Management and Sustainable Development→Environmental Law, Policy, and Treaties
Q65
MSQ[2 Marks]
Which of the following statement(s) is/are correct regarding National Green Tribunal (NGT) of India?