GATE 2020 CY – Previous Year Questions with Solutions
All 65 questions of GATE 2020 CY with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – While I agree his proposal this time, I do not often agree him.
- Question 2 – The recent measures to improve the output would the level of production to our satisfaction.
- Question 3 – Select the word that fits: White : Whitening :: Light : .
- Question 4 – In one of the greatest innings in 142 years of Test history, Ben Stokes upped the tempo during a five-and-a-half-hour stay of 219 balls, including 11…
- Question 5 – A product moves through five successive supply-chain levels P → Q → R → S → T → Customers. At each of the five levels its price rises 25%. Production…
- Question 6 – Climate change and resilience involve reducing sources of nonrenewable energy use and reducing vulnerability to climate-change effects. The passage…
- Question 7 – Find the missing element in the shown figure.
- Question 8 – 52 men can complete a highway strip between cities P and Q in 10 days. An emergency transfers 12 men to another project. How many more days than…
- Question 9 – An engineer measures X,Y,Z and finds the plotted straight-line relationship through the origin between product XY and Z. Which statement is FALSE?
- Question 10 – The pie charts show percentages of all university students and girls by stream. Total enrolment is 5000, including 1500 girls. What is the ratio of…
- Question 11 – Which reagents achieve the shown major-product transformation of cyclopent-2-enone into the corresponding allylic alcohol?
- Question 12 – Find the major product of the shown substituted anisole sequence: (i) Li/liquid NH₃, tert-butanol; (ii) one equivalent O₃ in MeOH followed by Me₂S.
- Question 13 – Find the major product of the shown fused cyclohexadienone–lactone under acid catalysis.
- Question 14 – Find the major product when the shown ethyl bromomethylacrylate reacts sequentially with (i) Zn and (ii) benzaldehyde.
- Question 15 – Find the absolute configurations at positions 4a and 8a of the compound shown.
- Question 16 – The shown ortho-nitrotoluene reacts with diethyl oxalate/NaOEt to give P, followed by Zn/acetic acid to give Q. Select the major products P and Q.
- Question 17 – Find the major product of α-D-glucose with excess acetone under acid catalysis.
- Question 18 – Which statement about coordinated-ligand substitution in Ni(CO) 4 and Co(NO)(CO) 3 is correct? Co–N–O is nearly linear; atomic numbers Ni 28 and Co…
- Question 19 – Which statement about hexagonal boron nitride is CORRECT?
- Question 20 – For oxyhemocyanin, select the copper coordination number, oxygen-binding mode, colour and net magnetic behaviour. Cu atomic number is 29.
- Question 21 – Which species has a pentagonal shape? Atomic numbers O,F,S,I,Xe are 8,9,16,53,54.
- Question 22 – A metal-complex solution absorbs at 480 nm with molar extinction coefficient 15000 L/(mol cm). Path length is 1.0 cm and transmittance 20.5%. Find…
- Question 23 – Which atomic-orbital combination represents the lowest unoccupied π molecular orbital of butadiene?
- Question 24 – Express the activity of m-molal CuSO₄ in terms of mean activity coefficient γ±.
- Question 25 – A pyramidal AB₃ molecule has C₃ᵥ character-table rows (E,2C₃,3σᵥ): A₁ = (1,1,1), bases z and (x²+y²,z²); A₂ = (1,1,−1), base Rz; E = (2,−1,0), bases…
- Question 26 – The shown bicyclic ketone reacts with NaH (2 equivalents) and MeI (2 equivalents) to form major product P. How many broadband proton-decoupled ¹³C NMR…
- Question 27 – Among the eight species shown, how many are aromatic?
- Question 28 – Find the maximum number of microstates for a d² electronic configuration.
- Question 29 – In uranium recovery, an aqueous uranyl-ion solution is evaporated, dried in air at 400°C, then reduced with hydrogen at 700°C to give X. What is the…
- Question 30 – A cubic crystal has a powder X-ray (111) peak at 2θ = 33.60° using Cu Kα radiation of wavelength 1.54 Å. Find lattice parameter a in Å to 2 decimals.
- Question 31 – At magnetic field 16.45 T, find the ¹⁹F NMR resonance frequency in MHz to 1 decimal place. Given nuclear g = 5.255, N=5.0510-27 J/T and h=6.62610-34 J…
- Question 32 – Three moles helium and one mole neon are mixed at constant temperature and pressure, 25°C and 1 atm. Find mixing entropy in J/K to 2 decimals. R =…
- Question 33 – At 25°C, find the emf in volts to 3 decimals of Ag AgBr(s) Br⁻(a = 0.20), Cu²⁺(a = 0.48), Cu⁺(a = 0.24) Pt. Standard cell emf is 0.082 V; R = 8.314…
- Question 34 – An enzyme reaction’s inverse-initial-rate versus inverse-substrate plot is linear, with slope 0.16 s and intercept 2.12 L s/mol. Find Michaelis…
- Question 35 – Fluorescence quantum yield is 0.4 and lifetime 510-9 s. If the fluorescence decay-rate constant is Y107 s⁻¹, find integer Y.
- Question 36 – Find the major product of the shown bicyclic cyclopropyl ketone sequence: (i) KOH/EtOH; (ii) methyl vinyl ketone; (iii) HCl.
- Question 37 – The shown cyclopentadienylacetate reacts with (i) one equivalent 9-BBN, (ii) H₂O₂/NaOH to give P; then (i) MsCl/Et₃N, (ii) NaOH, (iii) H₂/(Ph₃P)₃RhCl…
- Question 38 – The two stereoisomeric bromocyclohexanols shown react separately with Ag₂O. Select their major products P and Q.
- Question 39 – A compound C₁₀H₁₂O₂ has a strong IR band near 1720 cm⁻¹, a mass-spectrum peak at m/z 122, and ¹H NMR signals δ 8.1–8.0 (2H,m), 7.6–7.5 (1H,m), 7.5–7.3…
- Question 40 – Find the major product of the shown carvone reaction with the specified vinyllithium reagent in THF at −78°C, followed by KH at 25°C in…
- Question 41 – The shown chiral α-bromopropionic acid reacts with OH⁻ to give α-hydroxy acid P, or with Ag₂O/H₂O/OH⁻ to give Q. Which stereochemical statement is…
- Question 42 – Rank solvolysis rates of compounds P,Q,R,S,T bearing leaving group X as drawn. X is the indicated p-nitrobenzoate group.
- Question 43 – The shown p-iodotoluene undergoes Sonogashira coupling with trimethylsilylacetylene, fluoride deprotection, catecholborane addition and water work-up…
- Question 44 – An aqueous [Ni(NH 3) 6]2+ absorption spectrum has a very weak band between 3A 2g3T 2g and 3A 2g3T 1g(F). Which transition causes it? Ni atomic number…
- Question 45 – A hydrated Eu³⁺ salt has experimental magnetic moment 3.4 BM at 27°C, significantly different from its calculated ground-state value. Why? Eu atomic…
- Question 46 – For the neutral Ru–Ru complex shown, which bridging L1,L2 combination makes both metals obey the 18-electron rule? Candidate ligands are H⁻, NO⁻,…
- Question 47 – The shown cationic η⁷-cycloheptatrienyl molybdenum tricarbonyl reacts with NaOMe at 0°C to give A, then warms to 50°C to give B. Select B. Mo atomic…
- Question 48 – Match reactions P: R-H+O 2+2H++2e- R-OH+H 2O; Q: O 2+4e-+8H+2H 2O+4H+; R: 2H 2O 22H 2O+O 2; S: NH 2CH 2CO 2H NH 2CH(CH 2OH)CO 2H, with I coenzyme B₁₂,…
- Question 49 – Thermal-neutron fission of 235 92U through 236 92U gives primary fragments 99 41Nb and 133 51Sb. These undergo three and four radioactive decays…
- Question 50 – Which voltage E versus time excitation signal is used in cyclic voltammetry?
- Question 51 – The hydrogen-like 3s radial function is R 3,0=N(6-2+29)e-/6, where N=193( Za 0)3/2, =2Zr/a 0. Here Z is atomic number, r is distance from nucleus and…
- Question 52 – At 298 K, gaseous Fe has ΔGf° = 370.7 kJ/mol and ΔHf° = 416.3 kJ/mol. Assume ΔHf° constant from 250 to 375 K. Find ΔGf° at 375 K, nearest integer.
- Question 53 – N₂ adsorption on TiO₂ at 75 K gives a linear BET plot of z/[(1-z)V] against z=p/p0, with intercept 4.010-6 mm⁻³ and slope 1.010-3 mm⁻³. Find monolayer…
- Question 54 – Among the six boxed pairs of structures shown, how many pairs are diastereomeric?
- Question 55 – Among the eight compounds shown, how many have characteristic carbonyl-stretching frequency below 1700 cm⁻¹?
- Question 56 – AgX has rock-salt structure, density 6477 kg/m³ and cell edge 577.5 pm. Ag atomic weight is 107.87 g/mol. Find atomic weight of X in g/mol, to 2…
- Question 57 – How many g∥ lines are expected for a solution of bis(salicylaldimine)copper(II) containing pure ⁶³Cu and ¹⁴N at 77 K? Nuclear spins for ⁶³Cu, ¹⁴N and…
- Question 58 – Among [B 12H 12]2-, [Ni 5(CO) 12]2-, [C 2B 9H 11]2-, Rh 6(CO) 16, Os 6(CO) 20, B 5H 11 and B 6H 10, how many have nido structures? Atomic numbers…
- Question 59 – Find the NO pure-rotational line for J = 1 → 2 in cm⁻¹, to 2 decimals. Moment of inertia is 1.642710-46 kg m²; h = 6.62610-34 J s; c = 3108 m/s.
- Question 60 – A particle in a 1D box of length a has trial function =x(a-x) on 0≤x≤a. Find percent error in its ground-state variational energy, to 2 decimals.…
- Question 61 – Neglect rotation–vibration interaction in HF. Find the R-branch IR line starting at J = 4 in cm⁻¹, nearest integer. B = 19.35 cm⁻¹ and band origin is…
- Question 62 – Gaseous CO has van der Waals a = 1.49 L² atm/mol² and b = 0.0399 L/mol. Find fugacity at 35°C and 95 atm in atm, to 2 decimals. R = 0.082 L atm/(mol…
- Question 63 – At 30°C, 1.0 M aqueous sucrose has vapour pressure 31.207 mmHg and density 1.1256 g/mL. Pure-water vapour pressure is 31.824 mmHg. Sucrose molar mass…
- Question 64 – Cyclopropane ring-opening to propene at 25°C has Arrhenius prefactor 4.31015 s⁻¹. Find activation entropy in J/(mol K) to 2 decimals. Given…
- Question 65 – X converts consecutively to Y then Z with first-order constants 0.060 and 0.0090 min⁻¹. Initially there are 12.5 mol X and no products. Find Y after…