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GATE 2026 AE – Previous Year Questions with Solutions

All 65 questions of GATE 2026 AE 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) – "He often the numbers. False claims are not going to help. Honesty trust", said the manager. Choose the option with the correct order of words to fill…
  2. Question 2 (1 mark, Multiple choice) – In the sequence of tiles shown below, the missing tile indicated by the question mark should be
  3. Question 3 (1 mark, Multiple choice) – A school has 100 students distributed among 1st to 10th standards. Based on this, which one of the following statements is always correct?
  4. Question 4 (1 mark, Multiple choice) – How many 3-digit numbers can be formed using three distinct single digit prime numbers?
  5. Question 5 (1 mark, Multiple choice) – In a group of students, 10 students like Mathematics, 12 students like English, 4 students like both Mathematics and English, and 6 students like…
  6. Question 6 (2 marks, Multiple choice) – Charity : P :: Retaliation : Q Choose the appropriate pair of words P and Q that fit the analogy.
  7. Question 7 (2 marks, Multiple choice) – A paper shown in Panel I is folded along the dashed lines (- - -) to construct a cube. The shaded regions shown in Panel I appear on the outer surface…
  8. Question 8 (2 marks, Multiple choice) – Consider the cube shown below with its 8 corners labelled a, b, c, d, e, f, g, and h. The figure is representative. All corners are to be colored such…
  9. Question 9 (2 marks, Multiple choice) – Four hills H1, H2, H3, and H4 are present in an area. The following observations are made about them: i. Neither H2 nor H3 is the easternmost hill.…
  10. Question 10 (2 marks, Multiple choice) – As shown in the figure, circle C 1 with center O 1 and radius r 1 touches the square VWXY at points P and Q while circle C 2 with center O 2 and…
  11. Question 11 (1 mark, Multiple choice) – Consider the contour C shown in the figure below. For the vector F = (x + 2y) e x + (2x + 4y) e y, the integral C F d l = . Here d l represents an…
  12. Question 12 (1 mark, Multiple choice) – The Fourier series representation of a square wave is shown in the figure below. The fluctuations seen near x = 1 are named after which one of the…
  13. Question 13 (1 mark, Multiple choice) – The following equation with respect to (x, t), where a is a non-zero constant, represents . t + a x = 0
  14. Question 14 (1 mark, Multiple choice) – Which one of the following makes an ideal air-standard Stirling cycle?
  15. Question 15 (1 mark, Multiple choice) – In fluid dynamics, d'Alembert's paradox refers to which one of the following?
  16. Question 16 (1 mark, Multiple choice) – The number of independent elastic constants that a fully anisotropic linear elastic material can have is .
  17. Question 17 (1 mark, Multiple choice) – A cantilever beam with an unsymmetric cross-section is subjected to a transverse shear force (P) at its free end. P acts at the shear center of the…
  18. Question 18 (1 mark, Multiple choice) – The figure below depicts two ideal gas turbine cycles, cycle 1-2-3-4-1 and cycle 1-2-3'-4'-1, on a T-s diagram. Which one the following statements is…
  19. Question 19 (1 mark, Multiple choice) – The velocity potential function () given below represents which one of the following? = 5x - 12y
  20. Question 20 (1 mark, Multiple choice) – The fundamental purpose of the Kutta condition in the thin airfoil theory is .
  21. Question 21 (1 mark, Multiple choice) – In the figure shown below, the flow at the nozzle exit is .
  22. Question 22 (1 mark, Multiple select) – An n n square matrix A satisfies AT = A-1. The determinant of this matrix may take which of the following value(s)?
  23. Question 23 (1 mark, Multiple select) – Which of the following statements is/are TRUE about the stability of an aircraft?
  24. Question 24 (1 mark, Multiple select) – For a given air-standard power, the propulsive efficiency of a turbofan engine is more than that of a turbojet engine. Which of the following is/are…
  25. Question 25 (1 mark, Multiple select) – Shown below are qualitative illustrations of the lift curve for an airfoil when two different control surfaces are in their respective retracted and…
  26. Question 26 (1 mark, Multiple select) – The state of stress at a point in a 2-D body, in the x-y Cartesian coordinate system, is represented in matrix form as []. The transformation matrix…
  27. Question 27 (1 mark, Multiple select) – The figure below shows the blading of the rotors of two different axial turbomachines under their typical operating conditions, labelled as…
  28. Question 28 (1 mark, Multiple select) – A multi-stage axial compressor can be operated at two points, A and B, both of which lie on the same speed line, as shown in the figure below. If is…
  29. Question 29 (1 mark, Multiple select) – Which of the following statements is/are TRUE regarding critical and drag divergence Mach numbers of a wing?
  30. Question 30 (1 mark, Multiple select) – A flow is steady, inviscid and one-dimensional, with no shaft work or body forces. Which of the following is/are possible under the given conditions?
  31. Question 31 (1 mark, Numerical answer) – An aircraft starts gliding in power-off condition at an altitude of 4 km. Given that the maximum lift to drag ratio of the aircraft is 15, the maximum…
  32. Question 32 (1 mark, Numerical answer) – If a matrix can be written as A = uvT, where both u and v are n-dimensional real-valued non-zero column vectors, then the rank of the matrix A is…
  33. Question 33 (1 mark, Numerical answer) – The response x(t) of a freely vibrating single degree of freedom underdamped system is given below. In the equation, A and are constants. The damping…
  34. Question 34 (1 mark, Numerical answer) – The vortex shedding frequency behind a landing gear model is found to be 50 Hz when tested in a wind tunnel operating at 5 m/s. If the actual landing…
  35. Question 35 (1 mark, Numerical answer) – An elliptic wing has a span of 6 m and a planform area of 6 m2. When generating a lift coefficient of 0.6, the induced drag it incurs is 10-3 (rounded…
  36. Question 36 (2 marks, Multiple choice) – An earth satellite has the instantaneous position vector r and velocity vector v as given below. Here p and q denote the unit vectors along the x and…
  37. Question 37 (2 marks, Multiple choice) – For the matrix A = bmatrix a & b \\ c & d bmatrix, if the relation a + b = c + d holds and a, b, c, d 0, then which one of the following statements…
  38. Question 38 (2 marks, Multiple choice) – In an ideal turbofan engine shown in the figure below, the compressor is driven by the high pressure turbine, and the fan is driven by the low…
  39. Question 39 (2 marks, Multiple choice) – An ideal rocket has characteristic exhaust velocity of 1200 m/s, mass flow rate of 75 kg/s, thrust coefficient of 1.5, and nozzle throat area of 0.025…
  40. Question 40 (2 marks, Multiple choice) – Consider a unit square body as shown in the figure below. The body is subjected to the deformation field u = -ay and v = ax, where 'a' is a constant.…
  41. Question 41 (2 marks, Multiple choice) – Consider a launch vehicle of mass 10 tons being launched vertically. The vehicle has 8 tons of propellant, which burns completely at a constant rate…
  42. Question 42 (2 marks, Multiple choice) – The figure below shows a compressor stage with station numbers 1, 2, and 3 as indicated. If p 0i, T 0i, and C i refer to the average values of total…
  43. Question 43 (2 marks, Multiple choice) – An experimental study is planned to map out the low-Reynolds number incompressible steady two-dimensional aerodynamic characteristics of a promising…
  44. Question 44 (2 marks, Multiple select) – Which of the following process(es) is/are involved in the compression of air in an ideal ramjet engine?
  45. Question 45 (2 marks, Multiple select) – The deformation of an open-section bar subjected to pure torsion can be solved by choosing an appropriate Prandtl stress function. Which of the…
  46. Question 46 (2 marks, Multiple select) – The figure below shows the velocity triangles at the inlet and outlet of the rotor of a low hub-to-tip ratio axial compressor at the mid-span of the…
  47. Question 47 (2 marks, Multiple select) – Consider the flow over an oval modeled using the elementary potential flows as shown below. U represents uniform flow velocity and represents…
  48. Question 48 (2 marks, Multiple select) – What is/are the use(s) of the single horseshoe vortex model of finite wing aerodynamic theory?
  49. Question 49 (2 marks, Numerical answer) – Consider the differential equation with the initial conditions given below. If y(x) is the solution of the equation, the value of the slope, dydx, at…
  50. Question 50 (2 marks, Numerical answer) – An object of mass 1 kg is launched with an initial speed of v o into a large tank filled with a viscous liquid. The liquid exerts a resistive force…
  51. Question 51 (2 marks, Numerical answer) – The minimum value of the function f(x) = x + 2x + 3 for real x is (rounded off to 1 decimal place).
  52. Question 52 (2 marks, Numerical answer) – Isobutane (C 4H 10) is burnt completely in pure oxygen as per the reaction given below. Given that the standard heats of formation (in kcal/mole) of…
  53. Question 53 (2 marks, Numerical answer) – A furnace of 250 MW rating is used to melt and raise the temperature of aluminium from 25 oC to 900 oC. Aluminium has a solid-state specific heat,…
  54. Question 54 (2 marks, Numerical answer) – For an airfoil section the pitching moment coefficient is determined about a reference point that is 0.3 times the chord behind the leading edge. It…
  55. Question 55 (2 marks, Numerical answer) – An earth satellite moves in an elliptical orbit with a perigee altitude of 300 km and an apogee altitude of 3000 km. Assume that the radius of the…
  56. Question 56 (2 marks, Numerical answer) – Consider a finite wing of aspect ratio 10 with span effectiveness factor 0.95. Its airfoil section has a lift slope of 0.106 per degree and a…
  57. Question 57 (2 marks, Numerical answer) – W A and W B are the respective maximum take-off weights of an aircraft for two ambient air conditions given below. Condition A: p = 1 bar, T = 50\,oC;…
  58. Question 58 (2 marks, Numerical answer) – A thin-walled circular tube is made of a material whose magnitude of the ultimate strength, both in tension and compression, is 200 MPa. The mean…
  59. Question 59 (2 marks, Numerical answer) – A system comprising a bar, spring and mass is shown in the figure below. The bar, having negligible mass, is made of a material having Young's modulus…
  60. Question 60 (2 marks, Numerical answer) – A stepped cantilever beam, made of a material having Young's modulus E = 200 GPa, is shown in the figure below. The length and the moment of inertia…
  61. Question 61 (2 marks, Numerical answer) – A centrifugal compressor has a constant-width radial diffuser. The diameters at the diffuser inlet and outlet are 0.2 m and 0.3 m, respectively. The…
  62. Question 62 (2 marks, Numerical answer) – A gas mixture at a pressure of 800 kPa and a density of 5 kg/m3 enters a turbine stage. The temperature of the gas at the nozzle exit and the stage…
  63. Question 63 (2 marks, Numerical answer) – Thin airfoil theory predicts the zero-lift angle of attack L=0 of NACA 2412 airfoil as -2.1. The corresponding prediction of L=0 for NACA 5410 airfoil…
  64. Question 64 (2 marks, Numerical answer) – Consider a centered Prandtl-Meyer expansion fan at a = 4 corner in a Mach 1.78 air flow, as shown in the figure below. The angle (see figure) made by…
  65. Question 65 (2 marks, Numerical answer) – A Mach 1.5 air flow enters a round duct of length 20 cm and diameter 3 cm. If the flow exits with Mach number 1.1, the average Fanning friction factor…