GATE 2025 AE – Previous Year Questions with Solutions
All 65 questions of GATE 2025 AE with answers and explanations. Read each question, then practise it by topic or as a full paper.
Practise this paper in The GATE Grind →
- Question 1 – Courage : Bravery :: Yearning : Select the most appropriate option to complete the analogy.
- Question 2 – We tennis in the lawn when it suddenly started to rain. Select the most appropriate option to complete the above sentence.
- Question 3 – A 4 × 4 digital image has pixel intensities (U) as shown in the figure. The number of pixels with U 4 is: 0 1 0 2 --- --- --- --- 4 7 3 3 5 5 4 4 6 7…
- Question 4 – In the given figure, the numbers associated with the rectangle, triangle, and ellipse are 1, 2, and 3, respectively. Which one among the given options…
- Question 5 – A rectangle has a length L and a width W, where L > W. If the width, W, is increased by 10%, which one of the following statements is correct for all…
- Question 6 – Column-I has statements made by Shanthala; and, Column-II has responses given by Kanishk. Column-I Column-II --- --- P. This house is in a mess. 1.…
- Question 7 – Weight of a person can be expressed as a function of their age. The function usually varies from person to person. Suppose this function is identical…
- Question 8 – A regular dodecagon (12-sided regular polygon) is inscribed in a circle of radius r cm as shown in the figure. The side of the dodecagon is d cm. All…
- Question 9 – If a real variable x satisfies 3x2 = 27 9x, then the value of 2x2(2x)2 is:
- Question 10 – The number of patients per shift (X) consulting Dr. Gita in her past 100 shifts is shown in the figure. If the amount she earns is ₹ 1000(X - 0.2),…
- Question 11 – For any real symmetric matrix A, the transpose of A is .
- Question 12 – 2x + 3y + z = 0 x + y = 0 y + z = 0 The given system of equations has
- Question 13 – The eigenvalues of the matrix bmatrix 1 & 2 \\ 0 & 3 bmatrix are .
- Question 14 – The partial differential equation 2 u x2 + 42 u x y + 22 u y2 = 0 is .
- Question 15 – f(x) = cases A + x, & x < 2 \\ 1 + x2, & x 2 cases If the function f(x) is continuous at x = 2, the value of A is .
- Question 16 – If i = -1, (i+1)3i-1 = .
- Question 17 – For a two-dimensional incompressible flow over a flat plate, the laminar boundary layer thickness at a distance x from the leading edge is . If Re x…
- Question 18 – For a NACA 4415 airfoil, the location of maximum camber, as a fraction of the chord length from the leading edge, is .
- Question 19 – A positively cambered airfoil is placed in a uniform flow (velocity, U ) at its zero-lift angle of attack. M is the corresponding pitching moment.…
- Question 20 – Consider a pair of point vortices with clockwise circulation each. The distance between their centers is a, as shown in the figure. Assume…
- Question 21 – In a fluid flow, Mach number is an estimate of .
- Question 22 – A general aviation airplane is in steady and level flight. The airplane is prone to adverse yaw. Which one of the following options best describes the…
- Question 23 – For a general aviation airplane, which one of the following has a destabilizing effect on its static roll stability?
- Question 24 – A general aviation airplane is flying at an altitude of 5000 m. The indicated airspeed is 250 km/h. Assume that there are no instrument errors and…
- Question 25 – To achieve longitudinal static stability of a general aviation airplane, which one of the following conditions should be satisfied?
- Question 26 – For a homogeneous, isotropic material, the relation between the shear modulus (G), Young's modulus (E), and Poisson's ratio () is .
- Question 27 – A simply supported horizontal beam is subjected to a distributed transverse load varying linearly from q 0 at A to zero at B, as shown in the figure.…
- Question 28 – A stress field is given by xx = zz = C 1 y; yy = C 2 y; xy = yz = zx = 0, where C 1 and C 2 are non-zero constants. If the stress field satisfies…
- Question 29 – A uniform symmetric cross-section cantilever beam of length L is subjected to a transverse force P at the free end, as shown in the figure. The…
- Question 30 – In the given figure, plate ABCD in its undeformed configuration (solid line) is a rhombus with all the internal angles being 90o. The lengths of the…
- Question 31 – Q and W are the heat and work interactions of a system with its surroundings, and dU is the change in the internal energy of the system. For an…
- Question 32 – An ideal two-stage rocket has identical specific impulse and structural coefficient for its two stages. For an optimized rocket, the two stages have…
- Question 33 – A gaseous fuel mixture comprising 3 moles of methane and 2 moles of ammonia is combusted in X moles of pure oxygen in stoichiometric amount. Assuming…
- Question 34 – The lift per unit span for a spinning circular cylinder in a potential flow is 6 N/m. The free-stream velocity is 30 m/s, and the density of air is…
- Question 35 – In a centrifugal compressor, the eye tip diameter is 10 cm. For a shaft rotational speed of 490 rotations per second, the tangential speed at the…
- Question 36 – A lifting surface has a spanwise circulation distribution of () = A 3 (where A 0) over its span -b2 y b2, and y = -b2 is the spanwise coordinate.…
- Question 37 – A 1 m long rod is to be designed to support an axial tensile load P (P weight of the rod). The material for the rod is to be chosen from one of the…
- Question 38 – A general aviation airplane is initially in steady and level flight. The stability coefficient C m q (C m is the airplane pitching moment coefficient…
- Question 39 – A general aviation airplane is gliding with a speed V g at minimum glide angle. Which of the following statements is/are true?
- Question 40 – The maximum value of the function f(x) = (x-1)(x-2)(x-3) in the domain [0, 3] occurs at x = (rounded off to two decimal places).
- Question 41 – x 01 - (2x)x2 = (answer in integer).
- Question 42 – The equation of a closed curve in two-dimensional polar coordinates is given by r = 2(1 - ). The area enclosed by the curve is (answer in integer).
- Question 43 – Consider the ordinary differential equation: 12dydx + yx = 1. If y = 2/3 at x = 1, then the value of y at x = 3 is (rounded off to the nearest…
- Question 44 – An approximate solution of the equation x3 - 17 = 0 is to be obtained using the Newton-Raphson method. If the initial guess is x o = 2, the value at…
- Question 45 – i and j denote unit vectors in the x and y directions, respectively. The outward flux of the two-dimensional vector field v = x i + y j over the unit…
- Question 46 – An aircraft is flying at an altitude of 4500 m above sea level, where the ambient pressure, temperature and density are 57 kPa, 259 K and 0.777 kg/m3,…
- Question 47 – A rectangular wing of 1.2 m chord length and aspect ratio 5 is tested in a wind tunnel at an air speed of 60 m/s. The density and the dynamic…
- Question 48 – In a low-speed airplane, a venturimeter with 1.3:1 area ratio is used for airspeed measurement. The airplane's maximum speed at sea level is 90 m/s.…
- Question 49 – A supersonic stream of an ideal gas at Mach number M 1 = 5 is turned by a ramp, as shown in the figure. The ramp angle is 20o. The pressure ratio is p…
- Question 50 – A perfect gas flows through a frictionless constant-area duct with heat addition. The inlet conditions are as follows: pressure 100 kPa, density 1…
- Question 51 – The mass flow rate in a supersonic wind tunnel is 2 kg/s when the stagnation pressure and stagnation temperature are 1 MPa and 800 K, respectively. If…
- Question 52 – A jet-powered airplane is steadily climbing at a rate of 10 m/s. The air density is 0.8 kg/m3, and the thrust force is aligned with the flight path.…
- Question 53 – F and G denote two points on a spacecraft's orbit around a planet, as indicated in the figure. O is the center of the planet, P is the periapsis, and…
- Question 54 – While taking off, the net external force acting on an airplane during the ground roll segment can be assumed to be constant. The airplane starts from…
- Question 55 – A 1 m long rod of 1 cm 1 cm cross section is subjected to an axial tensile force of 35 kN. The Young's modulus of the material is 70 GPa. The…
- Question 56 – For a three-bar truss loaded as shown in the figure, the magnitude of the force in the horizontal member AB is N (answer in integer).
- Question 57 – A uniform rigid bar of mass 3 kg is hinged at point F, and supported by a spring of stiffness k=100 N/m, as shown in the figure. The natural frequency…
- Question 58 – A prismatic vertical column of cross-section a 0.5a and length l is rigidly fixed at the bottom and free at the top. A compressive force P is applied…
- Question 59 – A thin flat plate is subjected to the following stresses: xx = 160 MPa; yy = 40 MPa; xy = 80 MPa. Factor of safety is defined as the ratio of the…
- Question 60 – Two designs A and B, shown in the figure, are proposed for a thin-walled closed section that is expected to carry only torque. Both A and B have a…
- Question 61 – An ideal turbofan with a bypass ratio of 5 has core mass flow rate, m a,c = 100 kg/s. The core and the fan exhausts are separate and optimally…
- Question 62 – Air at temperature 300 K is compressed isentropically from a pressure of 1 bar to 10 bar in a compressor. Eighty percent of the compressed air is…
- Question 63 – A monopropellant liquid rocket engine has 800 injectors of diameter 4 mm each, and with a discharge coefficient of 0.65. The liquid propellant of…
- Question 64 – An ideal ramjet with an optimally expanded exhaust is travelling at Mach 3. The ambient temperature and pressure are 260 K and 60 kPa, respectively.…
- Question 65 – A single-stage axial compressor, with a 50 % degree of reaction, runs at a mean blade speed of 250 m/s. The overall pressure ratio developed is 1.3.…