GATE 2024 ES – Previous Year Questions with Solutions
All 65 questions of GATE 2024 ES with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – If '→' denotes increasing order of intensity, then the meaning of the words [sick → infirm → moribund] is analogous to [silly → → daft]. Which one of…
- Question 2 – The 15 parts of the given figure are to be painted such that no two adjacent parts with shared boundaries (excluding corners) have the same color. The…
- Question 3 – How many 4-digit positive integers divisible by 3 can be formed using only the digits 1, 3, 4, 6, 7, such that no digit appears more than once in a…
- Question 4 – The sum of the following infinite series is 2 + 12 + 13 + 14 + 18 + 19 + 116 + 127 +
- Question 5 – In an election, the share of valid votes received by the four candidates A, B, C, and D is represented by the pie chart shown. The total number of…
- Question 6 – Thousands of years ago, some people began dairy farming. This coincided with a number of mutations in a particular gene that resulted in these people…
- Question 7 – The probability of a boy or a girl being born is 1/2. For a family having only three children, what is the probability of having two girls and one…
- Question 8 – Person 1 and Person 2 invest in three mutual funds A, B, and C. The amounts they invest in each of these mutual funds are given in the table. Mutual…
- Question 9 – Three different views of a dice are shown in the figure below. The piece of paper that can be folded to make this dice is
- Question 10 – Visualize two identical right circular cones such that one is inverted over the other and they share a common circular base. If a cutting plane passes…
- Question 11 – Ten cards are numbered1–10. Find the probability of drawing an even number or a multiple of 5.
- Question 12 – Which listed ion does NOT cause water hardness?
- Question 13 – The maximum coordination number of Sn4+ in the conventional complex-ion treatment used by this question is
- Question 14 – Rod-shaped bacterial cells are called
- Question 15 – Tuberculosis is predominantly caused by which of these organisms?
- Question 16 – Which conversion is nonsymbiotic nitrogen fixation?
- Question 17 – Crown corrosion in reinforced-concrete sewers is caused by
- Question 18 – Match rapid-filter mechanisms i Straining, ii Sedimentation, iii Interception, iv Diffusion with P Particles caught in pores, Q Large/heavy particles…
- Question 19 – Environmental temperature increases6°C/km with altitude. Which atmospheric condition is this?
- Question 20 – The September2015 UN sustainable-development agenda has how many SDGs and what target year?
- Question 21 – Which is NOT a greenhouse gas in the conventional environmental classification?
- Question 22 – Under the microplastic definition referenced as UNEP2004 in the paper, the maximum size is
- Question 23 – For a typical Indian Tier-I city’s centralized municipal-waste infrastructure, which functional element is usually costliest?
- Question 24 – Select the eigenvalues of pmatrix4&3\\3&4pmatrix.
- Question 25 – For a vector X, linear operators A, B and scalar λ,which identities hold?
- Question 26 – Which fluid-flow statements are correct?
- Question 27 – A rectangular channel has critical flow at depth 2 m. Select the correct statements.
- Question 28 – Which settling classifications are correct?
- Question 29 – Which equipment controls industrial particulate air pollution?
- Question 30 – Which are secondary air pollutants?
- Question 31 – Under the hazardous-waste rules referenced as2016 in the paper, which are characteristic hazardous-waste properties?
- Question 32 – f(x)=x3-4.5x2-12x has a local maximum at what integer x in[−2,2]?
- Question 33 – Solve dy/dx-x2+ex=0 with y(0)=1. Find y(1),taking e=2.7,to two decimals.
- Question 34 – A digester produces1000 kg methane. Find storage volume in integer litres at 30°C and 3 atm. Use R=.082 L·atm/(mol·K),C12,H1.
- Question 35 – A Class-A pan starts a week at 250 mm water depth and ends at 240 mm, with 10 mm rainfall during the week. Pan coefficient is .8. Find lake…
- Question 36 – Ten observations are drawn from a normal population with mean µ. Their mean is x and standard deviation S. The supplied Student-t table lists rows…
- Question 37 – Solve y-3y+2y=2e-x with y(0)=2 and y′(0)=1.
- Question 38 – A saturated CaCO 3 stock solution is at 25°C. Experiment(i) adds25 g Na 2CO 3;experiment(ii) adds25 g Na 2SO 4. Which describes the calcium…
- Question 39 – For steady second-order decay r C=-kC2,find CSTR/PFR volume ratio for 90% concentration removal, with equal inlet concentration and flow.
- Question 40 – Two isotropic homogeneous aquifer layers have thicknesses h 1 h 2 and horizontal conductivities K 1,K 2. Flow is parallel to stratification as shown.…
- Question 41 – A settling chamber has height H, length L, horizontal air speed V h and particle terminal settling speed V t. Which equality defines the minimum…
- Question 42 – For f(x)=( x),which Taylor-expansion statements for f(x+h) are correct?
- Question 43 – Match enzymes a Lactate dehydrogenase, b Alanine racemase, c Lipase, d Hexokinase with classes i Isomerases, ii Transferases, iii Oxidoreductases, iv…
- Question 44 – Which disinfection statements are correct?
- Question 45 – Which DNA statements are correct?
- Question 46 – Which are Streeter–Phelps oxygen-sag assumptions?
- Question 47 – A 3 m×2 m tunnel flows full at 1 m/s with head loss1 m/km. Use g=10 m/s². Which statements are correct?
- Question 48 – Under ISO14040 LCA, match a Goal/scope, b Functional unit, c Inventory, d Impact assessment with i Same carefully defined comparison unit across…
- Question 49 – Find area under y=x2+x above the x-axis between x=1 and x=2,to two decimals.
- Question 50 – A buffer contains .1 M acetic acid and .05 M sodium acetate. Given pKa4.76,find pH, to two decimals.
- Question 51 – Find ionic strength of a solution containing.01 M CaCl 2 and .001 M Na 2SO 4,in M, to three decimals.
- Question 52 – Convert120 ppbv ozone at 1 atm and 25°C to µg/m³,to one decimal. Use oxygen atomic weight16 and R=8.314 J/(mol·K).
- Question 53 – An activated-sludge plant treats1 MLD soluble BOD from 200 to 20 mg/L. Observed biomass yield is .35 kg/kg BOD removed. Find daily biomass generation…
- Question 54 – Mix2 MLD wastewater at 45°C, pH2 with 3 MLD at 30°C, pH8. Neglect buffering and temperature effects on pH. Find mixed pH, to two decimals.
- Question 55 – Find watershed-average rainfall from the shown isohyet map, in integer mm.
- Question 56 – For the L-shaped hinged gate shown, find water level h above the hinge at which it begins to open automatically, in metres, to two decimals.
- Question 57 – A particle moves at 18 m/s in a cyclone of radius25 cm. Find centrifugal/gravitational force ratio, to two decimals, using g=9.8 m/s².
- Question 58 – Adjacent noise sources have levels30 and 40 dB. Find combined level in dB, to two decimals. Reference pressure is 20 µPa.
- Question 59 – A stack emits100 g/s CO at effective height H. Wind speed is 5 m/s. At3 km downwind,σy=50 m andσz=25 m. Find plume-centerline concentration in…
- Question 60 – Dry waste A contains 2.16% carbon and 1.20% nitrogen;dry B contains 19.10% carbon and .14% nitrogen. Find kg B per kg A to obtain C:N=25,to two…
- Question 61 – Food, paper and plastic waste have densities280,80,50 kg/m³. A mixture contains 70%,20%,10% by mass, respectively. Neglect compaction and find mixed…
- Question 62 – Find maximum theoretical methane in kg per ton of C 50H 100O 40N,assuming100% anaerobic conversion. Atomic weights:C12,H1,O16,N14. Report to two…
- Question 63 – A 75 kg person drinks2.5 L/day water containing.6 mg/L lead. Find drinking-water lead exposure in mg/(kg·day),to two decimals.
- Question 64 – Annual gasoline use is 30.6 million tons. Gasoline density is 850 kg/m³;ethanol has 67% of gasoline’s energy per equal volume. Sugarcane ethanol yield…
- Question 65 – A bottle initially has 400 g ethanol. Half is used before a 90-day vacation. The bottle is left open and loses ethanol at .5 g/day. Find ethanol…