The GATE Grind

GATE 2023 CH – Previous Year Questions with Solutions

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

Practise this paper in The GATE Grind →

  1. Question 1 (1 mark, Multiple choice) – "You are delaying the completion of the task. Send contributions at the earliest."
  2. Question 2 (1 mark, Multiple choice) – References : : : Guidelines : Implement (By word meaning)
  3. Question 3 (1 mark, Multiple choice) – In the given figure, PQRS is a parallelogram with PS = 7 cm, PT = 4 cm and PV = 5 cm. What is the length of RS in cm? (The diagram is representative.)
  4. Question 4 (1 mark, Multiple choice) – In 2022, June Huh was awarded the Fields medal, which is the highest prize in Mathematics. When he was younger, he was also a poet. He did not win any…
  5. Question 5 (1 mark, Multiple choice) – A line of symmetry is defined as a line that divides a figure into two parts in a way such that each part is a mirror image of the other part about…
  6. Question 6 (2 marks, Multiple choice) – Human beings are one among many creatures that inhabit an imagined world. In this imagined world, some creatures are cruel. If in this imagined world,…
  7. Question 7 (2 marks, Multiple choice) – To construct a wall, sand and cement are mixed in the ratio of 3:1. The cost of sand and that of cement are in the ratio of 1:2. If the total cost of…
  8. Question 8 (2 marks, Multiple choice) – The World Bank has declared that it does not plan to offer new financing to Sri Lanka, which is battling its worst economic crisis in decades, until…
  9. Question 9 (2 marks, Multiple choice) – The coefficient of x4 in the polynomial (x - 1)3(x - 2)3 is equal to .
  10. Question 10 (2 marks, Multiple choice) – Which one of the following shapes can be used to tile (completely cover by repeating) a flat plane, extending to infinity in all directions, without…
  11. Question 11 (1 mark, Multiple choice) – Which one of the following is the CORRECT value of y, as defined by the expression given below? y = x 02xex - 1
  12. Question 12 (1 mark, Multiple choice) – The vector v is defined as v = zxi + 2xyj + 3yzk. Which one of the following is the CORRECT value of divergence of v, evaluated at the point (x, y, z)…
  13. Question 13 (1 mark, Multiple choice) – Given that F = z 1 + z 2 z 1 + z 2 , where z 1 = 2 + 3i and z 2 = -2 + 3i with i = -1, which one of the following options is CORRECT?
  14. Question 14 (1 mark, Multiple choice) – For a two-dimensional plane, the unit vectors, (e r, e ) of the polar coordinate system and (i, j) of the cartesian coordinate system, are related by…
  15. Question 15 (1 mark, Multiple choice) – Which one of the following statements related to octane number is NOT correct?
  16. Question 16 (1 mark, Multiple choice) – Which one of the following options represents the major components of oleum?
  17. Question 17 (1 mark, Multiple choice) – For a reversible endothermic chemical reaction with constant heat of reaction over the operating temperature range, K is the thermodynamic equilibrium…
  18. Question 18 (1 mark, Multiple choice) – Nitrile rubber is manufactured via polymerization process. Which one of the following options is the CORRECT pair of monomers used in this process?
  19. Question 19 (1 mark, Multiple choice) – John and Jane independently performed a thermodynamic experiment, in which X and Y represent the initial and final thermodynamic states of the system,…
  20. Question 20 (1 mark, Multiple choice) – For a packed-bed comprising of uniform-sized spherical particles of diameter D p, the pressure drop across the bed is given by the Kozeny-Carman…
  21. Question 21 (1 mark, Multiple choice) – Match the quantities in Group 1 with their units in Group 2 listed in the table below. Group 1 Group 2 --- --- P) Thermal conductivity I) W m-2K-1 Q)…
  22. Question 22 (1 mark, Multiple choice) – A slab of thickness L, as shown in the figure below, has cross-sectional area A and constant thermal conductivity k. T 1 and T 2 are the temperatures…
  23. Question 23 (1 mark, Multiple choice) – Spray dryers have many advantages. Which one of the following is NOT an advantage of a typical spray dryer?
  24. Question 24 (1 mark, Multiple choice) – Which one of the following quantities of a flowing fluid is measured using a rotameter?
  25. Question 25 (1 mark, Multiple choice) – A liquid surge tank has F in and F out as the inlet and outlet flow rates respectively, as shown in the figure below. F out is proportional to the…
  26. Question 26 (1 mark, Multiple choice) – A packed distillation column, with vapor having an average molecular weight of 45 kg kmol-1, density of 2 kg m-3 and a molar flow rate of 0.1 kmol…
  27. Question 27 (1 mark, Multiple choice) – An isothermal jacketed continous stirred tank reactor (CSTR) operating at 150 °C is shown in the figure below. The cold feed entering the system at 30…
  28. Question 28 (1 mark, Multiple select) – Consider a system where a Carnot engine is operating between a source and a sink. Which of the following statements about this system is/are NOT…
  29. Question 29 (1 mark, Multiple select) – For a fully developed turbulent flow of an incompressible Newtonian fluid through a pipe of constant diameter, which of the following statements…
  30. Question 30 (1 mark, Multiple select) – Given that E (in W m-2) is the total hemispherical emissive power of a surface maintained at a certain temperature, which of the following statements…
  31. Question 31 (1 mark, Numerical answer) – The position x(t) of a particle, at constant , is described by the equation d2xdt2 = -2x. The initial conditions are x(t = 0) = 1 and .dxdt t=0 = 0.…
  32. Question 32 (1 mark, Numerical answer) – Burning of methane in a combustor yields carbon monoxide, carbon dioxide, and water vapor. Methane is fed to the combustor at 100 mol hr-1, of which…
  33. Question 33 (1 mark, Numerical answer) – The viscosity of an incompressible Newtonian fluid is measured using a capillary tube of diameter 0.5 mm and length 1.5 m. The fluid flow is laminar,…
  34. Question 34 (1 mark, Numerical answer) – A liquid L containing a dissolved gas S is stripped in a countercurrent operation using a pure carrier gas V. The liquid phase inlet and outlet mole…
  35. Question 35 (1 mark, Numerical answer) – In a binary gas-liquid system, N A,EMD is the molar flux of a gas A for equimolar counter diffusion with a liquid B. N A,UMD is the molar flux of A…
  36. Question 36 (2 marks, Multiple choice) – An exhibition was held in a hall on 15 August 2022 between 3 PM and 4 PM during which any person was allowed to enter only once. Visitors who entered…
  37. Question 37 (2 marks, Multiple choice) – Simpson's one-third rule is used to estimate the definite integral I = -111 - x2\,dx with an interval length of 0.5. Which one of the following is the…
  38. Question 38 (2 marks, Multiple choice) – Match the products in Group 1 with the manufacturing processes in Group 2 listed in the table below. Group 1 Group 2 --- --- P) Acetaldehyde I)…
  39. Question 39 (2 marks, Multiple choice) – Match the reactions in Group 1 with the catalysts in Group 2 listed in the table below.
  40. Question 40 (2 marks, Multiple choice) – Water in a container at 290 K is exposed to air containing 3% CO 2 by volume. Air behaves like an ideal gas and is maintained at 100 kPa pressure. The…
  41. Question 41 (2 marks, Multiple choice) – The enthalpy (H, in J mol-1) of a binary liquid system at constant temperature and pressure is given as H = 40x 1 + 60x 2 + x 1x 2(4x 1 + 2x 2), where…
  42. Question 42 (2 marks, Multiple choice) – Which one of the following represents the CORRECT effects of concentration polarization in a reverse osmosis process?
  43. Question 43 (2 marks, Multiple choice) – CO and H 2 participate in a catalytic reaction. The partial pressures (in atm) of the reacting species CO and H 2 in the feed stream are p CO and p H…
  44. Question 44 (2 marks, Multiple choice) – A cascade control strategy is shown in the figure below. The transfer function between the output (y) and the secondary disturbance (d 2) is defined…
  45. Question 45 (2 marks, Multiple choice) – Level (h) in a steam boiler is controlled by manipulating the flow rate (F) of the make-up (fresh) water using a proportional (P) controller. The…
  46. Question 46 (2 marks, Multiple select) – Which of the following statements is/are CORRECT?
  47. Question 47 (2 marks, Numerical answer) – If a matrix M is defined as M = bmatrix 10 & 6 \\ 6 & 10 bmatrix, the sum of all the eigenvalues of M3 is equal to (in integer).
  48. Question 48 (2 marks, Numerical answer) – The first derivative of the function U(r) = 4[(1r)12 - (1r)6] evaluated at r = 1 is (in integer).
  49. Question 49 (2 marks, Numerical answer) – Wet air containing 10 mole percent water vapor is dried by continuously passing it through a column of CaCl 2 pellets. The pellets remove 50 percent…
  50. Question 50 (2 marks, Numerical answer) – Orsat analysis showing the composition (in mol %, on a dry basis) of a stack gas is given in the table below. The humidity measurement reveals that…
  51. Question 51 (2 marks, Numerical answer) – A pump draws water (density = 1000 kg m-3) at a steady rate of 10 kg s-1. The pressures at the suction and discharge sides of the pump are −20 kPa…
  52. Question 52 (2 marks, Numerical answer) – A cylindrical tank with a diameter of 500 mm contains water (density = 1 g cm-3) upto a height h. A 5 mm diameter round nozzle, whose center is 1 cm…
  53. Question 53 (2 marks, Numerical answer) – A large tank is filled with water (density = 1 g cm-3) upto a height of 5 m. A 100 µm diameter solid spherical particle (density = 0.8 g cm-3) is…
  54. Question 54 (2 marks, Numerical answer) – A fluid is flowing steadily under laminar conditions over a thin rectangular plate at temperature T s as shown in the figure below. The velocity and…
  55. Question 55 (2 marks, Numerical answer) – A perfectly insulated, concentric tube countercurrent heat exchanger is used to cool lubricating oil using water as a coolant (see figure below). Oil…
  56. Question 56 (2 marks, Numerical answer) – Partially saturated air at 1 bar and 50 °C is contacted with water in an adiabatic saturator. The air is cooled and humidified to saturation, and…
  57. Question 57 (2 marks, Numerical answer) – Distillation of a non-reactive binary mixture with components A and B is carried out in a batch still as shown in the figure below. The initial charge…
  58. Question 58 (2 marks, Numerical answer) – Fresh catalyst is loaded into a reactor before the start of the following catalytic reaction. A products The catalyst gets deactivated over time. The…
  59. Question 59 (2 marks, Numerical answer) – A unimolecular, irreversible liquid-phase reaction A P was carried out in an ideal batch reactor at temperature T. The rate of the reaction (-r A)…
  60. Question 60 (2 marks, Numerical answer) – An irreversible liquid-phase second-order reaction A k B with rate constant k = 0.2 liter mol-1min-1, is carried out in an isothermal non-ideal…
  61. Question 61 (2 marks, Numerical answer) – The outlet concentration C A of a plug flow reactor (PFR) is controlled by manipulating the inlet concentration C A0. The following transfer function…
  62. Question 62 (2 marks, Numerical answer) – The transfer function of a measuring instrument is G m(s) = 1.052s + 1(-s). At time t = 0, a step change of +1 unit is introduced in the input of this…
  63. Question 63 (2 marks, Numerical answer) – A design engineer needs to purchase a membrane module (M) for a plant. Details about the two available options, M1 and M2, are given in the table…
  64. Question 64 (2 marks, Numerical answer) – The purchase cost of a new distillation column is Rs. 10 lakhs with an installation factor of 5.8. The cost of the capital is to be annualized over a…
  65. Question 65 (2 marks, Numerical answer) – Pumps A and B are being considered for purchase in a chemical plant. Cost details for these two pumps are given in the table below. The interest rate…