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GATE 2026 MT – Previous Year Questions with Solutions

All 65 questions of GATE 2026 MT 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) – ‘The team more than 300 runs in 20 overs rains. However, some players needed to improve their batting skills.’ Choose the option with the correct…
  2. Question 2 (1 mark, Multiple choice) – If a positive real number x satisfies 2x+ 2x=48, then the value of x is .
  3. Question 3 (1 mark, Multiple choice) – The next figure, indicated by “?”, in the sequence is . Rows are counted from top to bottom and columns from left to right in each 4-row, 3-column…
  4. Question 4 (1 mark, Multiple choice) – ‘All the mangoes in the basket are good.’ If the above statement is false, then which one of the following statements is necessarily true?
  5. Question 5 (1 mark, Multiple choice) – Consider the following statements about four numbers: (S1) The average of the four numbers is 25. (S2) Each number is at most 40. (S3) Each number is…
  6. Question 6 (2 marks, Multiple choice) – ‘People are crowding around pit into which elephant has fallen. I have never seen an elephant looking more bewildered miserable. Here it is in a most…
  7. Question 7 (2 marks, Multiple choice) – The unit selling prices of products P, Q, R, S, and T are listed below. On a particular day, 250 items were sold with an average selling price of Rs.…
  8. Question 8 (2 marks, Multiple choice) – A string P of length l is laid out as a straight-line segment. Another string K is laid out as a semicircular arc with string P as its diameter, as…
  9. Question 9 (2 marks, Multiple choice) – The Roman senator Meritorius, his brother, his son, and his daughter have varying oratory skill levels. They occupy a seating arrangement with two…
  10. Question 10 (2 marks, Multiple choice) – Which one of the patterns labeled P, Q, R, and S is used to generate the figure shown above them?
  11. Question 11 (1 mark, Multiple choice) – Given f(t)=e-at, where a is a constant, its Laplace transform is L[f(t)]=F(s). Which one of the following options is correct?
  12. Question 12 (1 mark, Multiple choice) – Select the correct pair of eigenvectors for the symmetric matrix A=bmatrix1&2\\2&4bmatrix.
  13. Question 13 (1 mark, Multiple choice) – Given w=f(ax+by), where a and b are constants, the value of b w x-a w y is .
  14. Question 14 (1 mark, Multiple choice) – Which one of the following fusion-welding techniques results in the least heat-affected zone (HAZ)?
  15. Question 15 (1 mark, Multiple choice) – During metallography, Nital is the most commonly used for etching .
  16. Question 16 (1 mark, Multiple choice) – Which one of the following options is correct? In a face-centered cubic metal, Shockley partial is:
  17. Question 17 (1 mark, Multiple choice) – Deformation mechanism map of a given material is used for determining which one of the following properties?
  18. Question 18 (1 mark, Multiple choice) – Which of the following dislocation dissociation reactions is feasible in face-centered cubic metals?
  19. Question 19 (1 mark, Multiple choice) – Which one of the following options is correct? For Al - 4 % Ag alloy (composition in atom %), the correct sequence of operations involved in…
  20. Question 20 (1 mark, Multiple choice) – Which one of the following is NOT a state function?
  21. Question 21 (1 mark, Multiple choice) – For a regular solution, which one of the following statements is correct? Here H mix is the enthalpy of mixing and S mix is the entropy of mixing.
  22. Question 22 (1 mark, Multiple choice) – Which one of the following options is correct? In a binary alloy system, during spinodal decomposition, uphill diffusion occurs:
  23. Question 23 (1 mark, Multiple choice) – In an Al–4 wt.% Cu alloy during isothermal aging, the correct precipitation sequence is .
  24. Question 24 (1 mark, Multiple choice) – Which one of the following options is correct? After cold-working of a metallic specimen, during the recovery stage, its electrical conductivity:
  25. Question 25 (1 mark, Multiple choice) – Which one of the following options is correct? Red mud is generated in the production of:
  26. Question 26 (1 mark, Multiple choice) – Residual stress present in a material can be determined by which one of the following techniques:
  27. Question 27 (1 mark, Multiple choice) – Which one of the following options is correct? In a convective heat transfer for laminar flow over a flat plate, Nusselt number is a function of…
  28. Question 28 (1 mark, Multiple choice) – Which one of the following options is correct? For a solid immersed in a fluid, the convective heat transfer coefficient across the solid-fluid…
  29. Question 29 (1 mark, Multiple choice) – Ergun equation is NOT applied in which one of the following unit operations to analyze gas flow behavior:
  30. Question 30 (1 mark, Multiple select) – Choose the correct option(s). Here ‘A’ is the Helmholtz free energy and ‘G’ is the Gibbs free energy.
  31. Question 31 (1 mark, Multiple select) – Which of the following elements, when present in iron, enhance(s) its corrosion resistance?
  32. Question 32 (1 mark, Numerical answer) – The value of the scalar triple product a( b c) is . (Answer in integer.) Here a=2 i-3 j+4 k, b= i+2 j-3 k, and c=3 i+4 j- k, where i, j, k are…
  33. Question 33 (1 mark, Numerical answer) – A box contains 20 thermometers, 3 of which are defective. One person randomly draws 2 thermometers from the box, one-by-one, without replacement. The…
  34. Question 34 (1 mark, Numerical answer) – For an equilibrium phase diagram of a binary A-B alloy at a constant pressure as shown in the figure, the degree of freedom at ‘X’ is (answer in…
  35. Question 35 (1 mark, Numerical answer) – Two parallel plates with a Newtonian incompressible liquid between them are 2 mm apart. The upper plate is stationary and the lower plate moves with a…
  36. Question 36 (2 marks, Multiple choice) – Match the crystal systems in Column I with the corresponding axial lengths and interaxial angles in Column II. Column I: (P) Tetragonal (Q)…
  37. Question 37 (2 marks, Multiple choice) – Match the concepts in Column I with the associated terms in Column II. Column I: (P) Paris law (Q) Schmid factor (R) Larson–Miller parameter (S)…
  38. Question 38 (2 marks, Multiple choice) – Match the defects in Column I with the corresponding metal-manufacturing processes in Column II. Column I: (P) Edge cracking (Q) Flashline cracking…
  39. Question 39 (2 marks, Multiple choice) – Match the descriptions in Column I with the corresponding nondestructive testing methods in Column II. Column I: (P) Internal flaws in railroad wheel…
  40. Question 40 (2 marks, Multiple choice) – The equation below represents steady-state laminar flow of a fluid through a horizontal tube: 1rddr(rdv zdr)-dPdz=0. Here P is fluid pressure, is…
  41. Question 41 (2 marks, Multiple choice) – Match the unit operations in Column I with the resulting products in Column II. Column I: (P) COREX process (Q) Bayer process (R) Matte smelting (S)…
  42. Question 42 (2 marks, Multiple choice) – Match the terms in Column I with the corresponding attributes in Column II. Column I: (P) Wiedemann–Franz law (Q) Néel temperature (R) Hall voltage…
  43. Question 43 (2 marks, Multiple select) – Choose the correct option(s). Permeability of a porous bed made of spherical particles is/are:
  44. Question 44 (2 marks, Numerical answer) – Consider a distribution with probability density f(x)=cases0.5,&0<x<2,\\0,&otherwise.cases Given that its mean is 1, the variance is . (Rounded off to…
  45. Question 45 (2 marks, Numerical answer) – Taking the number of intervals as n=3, the value of 00.3e-x2\,dx using the trapezoidal method is . (Rounded off to two decimal places.)
  46. Question 46 (2 marks, Numerical answer) – The solution of 10x2d2ydx2-20xdydx+22.4y=0 is y=c 1xm 1+c 2xm 2, where m 1 m 2. The value of m 1+m 2 is . (Answer in integer.)
  47. Question 47 (2 marks, Numerical answer) – Iron powder is compacted at room temperature to 75% of its theoretical density. The as-pressed iron compact is sintered in inert-gas atmosphere at…
  48. Question 48 (2 marks, Numerical answer) – An alloy of composition W–20 wt.% Ni is prepared by mixing elemental powders. The mixture is liquid-phase sintered at 1550 C for 1 hour. The resulting…
  49. Question 49 (2 marks, Numerical answer) – A metal with body-centered cubic structure is analyzed by X-ray diffraction using monochromatic X-rays of wavelength 0.154 nm. The diffraction angle 2…
  50. Question 50 (2 marks, Numerical answer) – A cylindrical copper single crystal of diameter 10 mm is deformed under a uniaxial tensile load of 2200 N. The angle between the slip-plane normal and…
  51. Question 51 (2 marks, Numerical answer) – For plane-strain fracture-toughness testing of maraging steel, the minimum thickness to achieve valid K Ic is mm. (Answer in integer.) Given K Ic=90\…
  52. Question 52 (2 marks, Numerical answer) – The lattice parameter of face-centered cubic Ni is 0.35 nm and its shear modulus is 76 GPa. The strain energy per unit length of a screw dislocation…
  53. Question 53 (2 marks, Numerical answer) – 20 g of gold (Au) and 20 g of silver (Ag) are mixed to form a single-phase solid solution (assume ideal mixing). The atomic weight of Au is 197 g/mol…
  54. Question 54 (2 marks, Numerical answer) – 2 moles of an ideal gas is reversibly expanded from 10 liter to 20 liter at isothermal condition. The value of universal gas constant R is 8.314…
  55. Question 55 (2 marks, Numerical answer) – The constant-pressure molar heat capacity of a solid metal is C p=20+(510-3)T\ J/(mol\,K) for 298 T1000\ K. At constant pressure, the temperature of 2…
  56. Question 56 (2 marks, Numerical answer) – With reference to the Ellingham diagram, the standard Gibbs free-energy changes for oxidation of solid and liquid metal M are: Reaction I: M(s)+O 2(g)…
  57. Question 57 (2 marks, Numerical answer) – A volume of liquid is undercooled just below its melting temperature to form a spherical solid nucleus by homogeneous nucleation. The Gibbs free…
  58. Question 58 (2 marks, Numerical answer) – A 50 mm flat aluminium plate is reduced in thickness to 25 mm in a single pass cold-rolling operation with the rolling diameter of 1250 mm. For this…
  59. Question 59 (2 marks, Numerical answer) – A cylindrical furnace has an inner diameter of 0.1 m and height of 0.2 m. Its inner cylindrical wall A 1 and inner bottom A 2 are maintained at 1873…
  60. Question 60 (2 marks, Numerical answer) – During carburizing of steel, the surface concentration is maintained at 1.4 wt.% carbon. The carbon diffusivity at 950 C is 6.2510-11\ m2/s. At this…
  61. Question 61 (2 marks, Numerical answer) – For the reaction between methane and stoichiometric air containing 20 vol.% O 2 and 80 vol.% N 2, the estimated adiabatic flame temperature is K.…
  62. Question 62 (2 marks, Numerical answer) – A copper ore contains 30 wt.% chalcopyrite (CuFeS 2) and the remaining gangue has no copper. The copper content of the ore is wt.%. (Rounded off to…
  63. Question 63 (2 marks, Numerical answer) – A blast furnace produces hot metal containing 4 wt.% C, 1.5 wt.% Si, and the rest Fe. The only iron input is ore containing 85 wt.% Fe 2O 3 and 15…
  64. Question 64 (2 marks, Numerical answer) – Al 2O 3 can be electrolyzed with an inert or a carbon anode. The overall reactions are: I, inert anode: 23Al 2O 3(s)43Al(l)+O 2(g), with G…
  65. Question 65 (2 marks, Numerical answer) – Given the scalar field (x,y,z)=x2-yz, the magnitude of a vector in the direction of the most rapid increase of at P=(3,4,1) is . (Rounded off to two…