GATE 2019 CY – Previous Year Questions with Solutions
All 65 questions of GATE 2019 CY with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – John Thomas, an writer, passed away in 2018.
- Question 2 – I permitted him to leave, I wouldn’t have had any problem with him being absent, I?
- Question 3 – A worker notices that the hour hand of the factory clock moved 225° during her stay. How long did she stay?
- Question 4 – Two integers have sum 26 and product 165. What is their positive difference?
- Question 5 – The minister avoided mentioning the issue of women’s reservation in the private sector. He was accused of the issue.
- Question 6 – Prisoners may make one statement. A true statement leads to hanging and a false one to shooting. A prisoner’s statement left the judge unable to apply…
- Question 7 – ₹100000 is split between schemes yielding 10% and 12%. Interchanging the two rates would reduce total profit by ₹120. Find the ratio of investments in…
- Question 8 – Congo was named by Europeans. Its dictator Mobuto later renamed the country and river Zaire to Africanise names of people and places. However, Zaire…
- Question 9 – A firm had 600 employees in 2010, divided among skills P,Q,R,S,T as shown. Total employment grew 15% by 2016. Numbers at P,Q,R stayed unchanged and S…
- Question 10 – M and N have four children P,Q,R,S. Only P and R are married, and they have children X and Y respectively. If Y is a legitimate child of W, which…
- Question 11 – Which statement about solid CsCl and CaF₂ is INCORRECT?
- Question 12 – Which statement about ICl₃ is INCORRECT?
- Question 13 – Which carbon allotrope has a discrete molecular structure?
- Question 14 – Which statement about silicones is INCORRECT?
- Question 15 – The octahedral splitting Δo of [Ni(H₂O)₆]²⁺ is 8500 cm⁻¹. Relative to it, the splittings of [NiCl₆]⁴⁻ and [Ni(NH₃)₆]²⁺ are respectively
- Question 16 – For the Freundlich adsorption isotherm, which plot is linear? θ is surface coverage and p gas partial pressure.
- Question 17 – Micelle formation is accompanied by
- Question 18 – For the illustrated CO₂ phase diagram, which equilibrium statement is INCORRECT?
- Question 19 – What is the major product when the illustrated bridged allylic tosylate undergoes solvolysis in acetic acid?
- Question 20 – Which Woodward–Hoffmann condition produces the illustrated stereospecific electrocyclic ring closure?
- Question 21 – The illustrated β-lactone reacts with Et₂AlCl in benzene at 5°C. Which major product is formed?
- Question 22 – Which model predicts the stereochemistry of EtLi addition to the illustrated α-methoxy ketone and the shown major product?
- Question 23 – On heating the illustrated cis-substituted 1,5-diene, which of the depicted Cope-rearrangement products is formed?
- Question 24 – Among the six illustrated compounds, how many do NOT exhibit optical activity at room temperature?
- Question 25 – How many of the seven illustrated dienes undergo a Diels–Alder reaction with methyl acrylate?
- Question 26 – How many distinct ¹H NMR signals are expected for the illustrated compound?
- Question 27 – How many CO stretching bands occur in the IR spectrum of trigonal-bipyramidal cis-M(CO)₃L₂, where L is a monodentate ligand?
- Question 28 – Heating 25 mg of a hydrated compound of molar mass 250 g/mol leaves 16 mg of dehydrated compound. How many water molecules are lost per formula unit?…
- Question 29 – In the decay ²³⁸₉₂U → ²¹⁰₈₂Pb, what is the total number of emitted α and β⁻ particles?
- Question 30 – An ideal gas initially at 12 atm and unknown volume expands isothermally against a constant external pressure of 2 atm to a final equilibrium volume…
- Question 31 – Melting x moles of ice reversibly at 273 K and 1 atm increases entropy by 28.80 cal/K. Heat of fusion is 80 cal/g and water molar mass 18 g/mol. Find…
- Question 32 – A two-state system has energies 0 and 2kBT, with degeneracies 1 and 2 respectively. Find its partition function at temperature T (two decimal places).
- Question 33 – Three distinguishable noninteracting particles have available nondegenerate single-particle energies 0, ε, 2ε. If total energy is 2ε, how many…
- Question 34 – In a 400 MHz ¹H NMR spectrometer, a proton resonates 1560 Hz above tetramethylsilane, whose shift is zero. Find its chemical shift in ppm (one decimal…
- Question 35 – A gaseous MX molecule has bond length 3 Å and dipole moment 10.8 D. Find its percentage ionic character (one decimal place). Use 1 D=3.336×10⁻³⁰ C m…
- Question 36 – Which pair of aqueous ions has measured magnetic moments close to spin-only values? Atomic numbers: Cr24, Co27, Gd64, Tb65, Dy66, Lu71.
- Question 37 – Which is a normal spinel?
- Question 38 – Classify I zircon ZrSiO₄, II beryl Be₃Al₂Si₆O₁₈ and III pyrophyllite Al₂(OH)₂[Si₂O₅]₂.
- Question 39 – For a methyl radical’s EPR spectrum, what are the number of lines and their relative intensities?
- Question 40 – What product forms when Mn₂(CO)₁₀ reacts with Br₂?
- Question 41 – Which hapticity representation is appropriate for W(Cp)₂(CO)₂, where Cp is cyclopentadienyl?
- Question 42 – Match P ferritin, Q rubredoxin, R cobalamin, S carbonic anhydrase to I electron transfer, II acid–base catalysis, III metal storage, IV methyl…
- Question 43 – A one-dimensional system has =(kx)e3ikx. Which is a possible result of a momentum measurement?
- Question 44 – For the illustrated iodide, identify the major product under n-Bu₃SnH/AIBN in benzene on heating. AIBN is azobisisobutyronitrile.
- Question 45 – Identify the major product after the illustrated chiral carboxylic acid–ester is treated with B₂H₆ followed by acid.
- Question 46 – Two equivalents of ethyl acetoacetate react with formaldehyde using NaOEt in ethanol on heating. Which major product is formed?
- Question 47 – Cyclobutanecarbaldehyde reacts with CH₃MgCl and then HCl as illustrated. Which major product is formed?
- Question 48 – For the illustrated sequence, identify products P and Q: catalytic Pd(OAc)₂/PPh₃, Ag₂CO₃ in hot DMSO; then LiAlH₄ in ether and Ac₂O/Et₃N.
- Question 49 – The illustrated unsaturated primary alcohol is treated with PCC and then ZnBr₂. Which major product is formed?
- Question 50 – Perbenzoic acid in benzene at 0°C epoxidizes the illustrated allylic derivatives. P is obtained for R=COEt and Q for R=H. Which product pair is…
- Question 51 – Cyclohex-2-enone reacts with (CH₃)₂CuLi and then PhSeBr to give P, followed by H₂O₂ to give Q. Which pair is correct?
- Question 52 – 2-Methylpyridine N-oxide reacts with acetic anhydride as illustrated. Which major product is formed?
- Question 53 – For [CoIII(NH 3) 5X]3+/2++[CrII(H 2O) 6]2+[CoII(NH 3) 5(H 2O)]2++[CrIII(H 2O) 5X]3+/2+, which X gives the slowest redox reaction?
- Question 54 – A complex contains one Cr, three Br and six H₂O per formula unit. Excess AgNO₃ gives 0.94 g AgBr from the source’s stated 1.0 g sample in aqueous…
- Question 55 – For the illustrated doubly bridged dicobalt ethylenediamine complex, how many optically active isomers are possible? en denotes ethylenediamine.
- Question 56 – Pure (R)-2-bromobutane has specific rotation −112.00°. A sample rotates −82.88°. Find the percentage of (S)-(+)-enantiomer.
- Question 57 – Parallel irreversible first-order reactions are P→Q with k₁=0.05 min⁻¹ and P→R with k₂=0.15 min⁻¹. Initially only P is present at 4 mol/L. Find R…
- Question 58 – For SO₂(g)+½O₂(g)⇌SO₃(g), standard Gibbs formation energies at 298 K are −300 and −371 kJ/mol for SO₂ and SO₃. Express Kp as a number ×10¹⁰ (nearest…
- Question 59 – For the cell M(s) MI₂(s) MI₂(aq) M(s), standard reduction potentials at 298 K are E°(M²⁺/M)=−0.12 V and E°(MI₂(s)/M)=−0.36 V. The cell temperature…
- Question 60 – A compound boils normally at 350 K and has temperature-independent vaporization enthalpy 30 kJ/mol. Find the pressure needed to boil it at 300 K in…
- Question 61 – A bimolecular gas reaction P+Q→R has Arrhenius pre-exponential factor 10¹³ dm³/(mol s). Find standard activation entropy at 25°C in J/(mol K) (two…
- Question 62 – For point group D₈, the character-table columns are E, 2C₈, 2C₄, 2C₈³, C₂, 4C₂′, 4C₂″, in that order. Rows are: A₁: a, 1, 1, 1, 1, 1, 1 A₂: b, 1, 1,…
- Question 63 – For spin-up , S xS y-S yS x =i2a. Find a (one decimal place).
- Question 64 – A particle is confined to an infinite one-dimensional well on −a<x<a. A perturbation V=cx eV is applied. Express the first-order energy correction to…
- Question 65 – A two-dimensional harmonic oscillator has angular frequencies ωx=2ωy=6.5×10¹⁴ rad/s. Find the wavelength for x-polarized excitation from the ground…