The GATE Grind

GATE 2023 CY – Previous Year Questions with Solutions

All 65 questions of GATE 2023 CY with answers and explanations. Read each question, then practise it by topic or as a full paper.

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  1. Question 1 (1 mark, Multiple choice) – “I cannot support this proposal. My will not permit it.”
  2. Question 2 (1 mark, Multiple choice) – Courts : : : Parliament : Legislature (By word meaning)
  3. Question 3 (1 mark, Multiple choice) – What is the smallest number with distinct digits whose digits add up to 45?
  4. Question 4 (1 mark, Multiple choice) – In a class of 100 students, (i) there are 30 students who neither like romantic movies nor comedy movies, (ii) the number of students who like…
  5. Question 5 (1 mark, Multiple choice) – How many rectangles are present in the given figure? . .
  6. Question 6 (2 marks, Multiple choice) – Forestland is a planet inhabited by different kinds of creatures. Among other creatures, it is populated by animals all of whom are ferocious. There…
  7. Question 7 (2 marks, Multiple choice) – Which one of the following options represents the given graph?
  8. Question 8 (2 marks, Multiple choice) – Which one of the following options can be inferred from the given passage alone? When I was a kid, I was partial to stories about other worlds and…
  9. Question 9 (2 marks, Multiple choice) – Out of 1000 individuals in a town, 100 unidentified individuals are covid positive. Due to lack of adequate covid-testing kits, the health authorities…
  10. Question 10 (2 marks, Multiple choice) – A 100 cm × 32 cm sheet is folded five times, each time aligning one long edge with the opposite long edge, giving a 100 cm × 1 cm rectangle. The total…
  11. Question 11 (1 mark, Multiple choice) – The major product formed in the given reaction is
  12. Question 12 (1 mark, Multiple choice) – The compound which gives a fragment at 𝑚/𝑧 = 124[M+H]+ is
  13. Question 13 (1 mark, Multiple choice) – The major product formed in the given reaction is
  14. Question 14 (1 mark, Multiple choice) – The major product formed in the given reaction is
  15. Question 15 (1 mark, Multiple choice) – On irradiation using UV light (>300 nm), compounds X and Y, predominantly, undergo
  16. Question 16 (1 mark, Multiple choice) – The topicity relationship of Ha and Hb in X, Y and Z are, respectively,
  17. Question 17 (1 mark, Multiple choice) – Compound P was prepared based on a four-component reaction at room temperature in methanol. The required starting materials for the synthesis are
  18. Question 18 (1 mark, Multiple choice) – The major product formed in the following reaction is
  19. Question 19 (1 mark, Multiple choice) – The reaction of Ph 3PCl 2 with PhNH 2 primarily produces .
  20. Question 20 (1 mark, Multiple choice) – Formation of [M(en) 3]2+ from [M(H 2O) 6]2+ and three equivalents of ethylenediamine (en) is LEAST favoured when M is .
  21. Question 21 (1 mark, Multiple choice) – Wacker oxidation of alkenes is catalyzed by a combination of
  22. Question 22 (1 mark, Multiple choice) – For conversion of [Pt(L)Cl 3]- to trans-[Pt(L)Cl 2(H 2O)], the trans-effect is LEAST when ligand L is .
  23. Question 23 (1 mark, Multiple choice) – The tetracoordinated copper center in the oxidized and reduced forms of plastocyanin exhibits longest bond with
  24. Question 24 (1 mark, Multiple choice) – The packing efficiency (in %) of spheres for a body-centered cubic (bcc) lattice is approximately
  25. Question 25 (1 mark, Multiple choice) – The magnitudes of CFSE in [M(H 2O) 6]n+ for Mn and Fe satisfy .
  26. Question 26 (1 mark, Multiple choice) – The organometallic catalyst for the following transformation is
  27. Question 27 (1 mark, Multiple choice) – The point group of naphthalene (C 10H 8) is .
  28. Question 28 (1 mark, Multiple choice) – Which statement is INCORRECT?
  29. Question 29 (1 mark, Multiple choice) – For an ideal gas, the molecular partition function in the canonical ensemble, that is proportional to the system volume (𝑉), is the
  30. Question 30 (1 mark, Multiple choice) – Assertion (S): The total angular momentum for light atoms (low atomic number) is obtained by Russell-Saunders coupling, whereas jj-coupling is used…
  31. Question 31 (1 mark, Multiple select) – The acetolysis product(s) of the given reaction is(are)
  32. Question 32 (1 mark, Multiple select) – Product(s) formed in the given reaction is(are)
  33. Question 33 (1 mark, Multiple select) – In the nuclear reaction \!60 28Ni+ P, unstable P can yield n+Q, 2n+R, or p+n+S. Which isotope identifications are correct?
  34. Question 34 (1 mark, Multiple select) – For the Lindemann-Hinshelwood mechanism of gas phase unimolecular reactions, the true statement(s) is(are)
  35. Question 35 (1 mark, Numerical answer) – The calculated magnetic moment of [Ce(NO 3) 5]2- is BM (two decimal places). Atomic number of Ce is 58.
  36. Question 36 (2 marks, Multiple choice) – A compound C 15H 16O 2 has the following spectra. Its structure is which of the choices shown? 1H NMR (ppm): 9.16 (s), 6.89 (d, J=8 Hz), 6.64 (d, J=8…
  37. Question 37 (2 marks, Multiple choice) – The major product formed in the given reaction sequence is
  38. Question 38 (2 marks, Multiple choice) – E and F in the given reaction scheme are
  39. Question 39 (2 marks, Multiple choice) – M and N in the given reaction scheme are
  40. Question 40 (2 marks, Multiple choice) – For the indicated hydrogen nuclei, the 1H NMR multiplicities in I–IV, respectively, are . I. Hydride H in [HNi(OPEt 3) 4]+ II. Si–H in Ph 2Si(Me)H…
  41. Question 41 (2 marks, Multiple choice) – Treatment of (5-C 5H 5) 2Ni with Na/Hg in ethanol gives major product .
  42. Question 42 (2 marks, Multiple choice) – The numbers of shared corners per constituent SiO 4 unit in orthosilicate, pyrosilicate, cyclic silicate, and sheet silicate, respectively, are .
  43. Question 43 (2 marks, Multiple choice) – For consecutive reactions Pk 1Qk 2R, [Q]=k 1[P] 0k 2-k 1(e-k 1t-e-k 2t), where [P] 0 is initial P concentration. With k 2=25 s-1, which k 1 gives the…
  44. Question 44 (2 marks, Multiple choice) – The wavefunction of Be3+ in a state is =Ne-4r/a 0, with normalization constant N, electron–nucleus distance r, and Bohr radius a 0. The most probable…
  45. Question 45 (2 marks, Multiple choice) – Match Column I functions with Column II quantum systems. P. Associated Legendre polynomials Q. Hermite polynomials R. Associated Laguerre polynomials…
  46. Question 46 (2 marks, Multiple choice) – In P 2[k 1]I a2Qk 2R, I a is absorbed light intensity and the first-step quantum yield is one. The steady-state Q concentration is .
  47. Question 47 (2 marks, Multiple select) – Product(s) formed in the given reaction sequence is(are)
  48. Question 48 (2 marks, Multiple select) – Product(s) formed in the reaction below is(are)
  49. Question 49 (2 marks, Multiple select) – The stereoisomer(s) of G giving the depicted product is(are)
  50. Question 50 (2 marks, Multiple select) – Product(s) formed in the given reaction sequence is(are)
  51. Question 51 (2 marks, Multiple select) – The reaction(s) in which inversion of configuration occur(s) is(are)
  52. Question 52 (2 marks, Multiple select) – The correct statement(s) regarding myoglobin (Mb) and haemoglobin (Hb) is(are)
  53. Question 53 (2 marks, Multiple select) – Which statements about Co 2(CO) 8 are correct?
  54. Question 54 (2 marks, Multiple select) – Which compounds have metal ions with [Xe]4f1 configuration? Atomic numbers: Ce 58, Lu 71, Pr 59, Nd 60.
  55. Question 55 (2 marks, Multiple select) – Which statements about XeF 2 are correct?
  56. Question 56 (2 marks, Multiple select) – For nondissociative gas adsorption on a solid, the Freundlich isotherm is =kp1/n, where θ is coverage, p pressure, and k,n empirical constants. The…
  57. Question 57 (2 marks, Multiple select) – Two enzyme-catalysis reactions I and II have identical y-intercepts in Lineweaver–Burk plots, but slope I is twice slope II. Initial enzyme…
  58. Question 58 (2 marks, Numerical answer) – The enthalpy change for the exothermic reaction between BeI 2 and HgF 2 is kJ/mol (nearest integer). Bond dissociation energies (kJ/mol): Be–F 632,…
  59. Question 59 (2 marks, Numerical answer) – The number of carbons directly connected to the metal centre in [W(C 60)(CO) 5] is (nearest integer). Atomic number of W is 74.
  60. Question 60 (2 marks, Numerical answer) – Naphthalene–benzene forms a simple eutectic solid–liquid system. For an ideal solution at 300 K and 1 bar, naphthalene mole fraction in benzene is…
  61. Question 61 (2 marks, Numerical answer) – Polystyrene in toluene has intrinsic viscosity 84 cm3/g at 30 °C. It follows Mark–Houwink with K=1.0510-2 cm3/g and a=0.75. Its molecular weight is…
  62. Question 62 (2 marks, Numerical answer) – By the Debye–Hückel limiting law, the mean molal activity coefficient of 0.87 g K 2SO 4 (molar mass 174 g/mol) in 1 kg water at 25 °C is (two decimal…
  63. Question 63 (2 marks, Numerical answer) – Dissolve 128 g naphthalene (C 10H 8) in 780 g benzene (C 6H 6). Pure-benzene vapour pressure is 12.6 kPa at 25 °C. For an ideal solution, benzene…
  64. Question 64 (2 marks, Numerical answer) – For cell H 2(g) HCl(aq) Cl 2(g), E=1.73-(1.2510-3)T+(1.0010-6)T2, with E in V and T in K. The standard cell-reaction enthalpy change at 300 K is…
  65. Question 65 (2 marks, Numerical answer) – Three noninteracting compounds P,Q,R are in a cuvette of path 1 cm. Concentrations are [P]=10-6 M, [Q]=210-6 M, [R]=310-6 M. Their molar extinction…