GATE 2024 AE – Previous Year Questions with Solutions
All 65 questions of GATE 2024 AE with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – If '→' denotes increasing order of intensity, then the meaning of the words [dry → arid → parched] is analogous to [diet → fast → ]. Which one of the…
- Question 2 – If two distinct non-zero real variables x and y are such that (x+y) is proportional to (x-y) then the value of xy
- Question 3 – Consider the following sample of numbers: 9, 18, 11, 14, 15, 17, 10, 69, 11, 13. The median of the sample is
- Question 4 – The number of coins of ₹1, ₹5, and ₹10 denominations that a person has are in the ratio 5:3:13. Of the total amount, the percentage of money in ₹5…
- Question 5 – For positive non-zero real variables p and q, if (p2+q2)= p+ q+2 3, then the value of p4+q4p2q2 is
- Question 6 – In the given text, the blanks are numbered (i)−(iv). Select the best match for all the blanks. Steve was advised to keep his head (i) before heading…
- Question 7 – A rectangular paper sheet of dimensions 54 cm × 4 cm is taken. The two longer edges of the sheet are joined together to create a cylindrical tube. A…
- Question 8 – The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person. The typical energy density…
- Question 9 – A rectangular paper of 20 cm × 8 cm is folded 3 times. Each fold is made along the line of symmetry, which is perpendicular to its long edge. The…
- Question 10 – The least number of squares to be added in the figure to make AB a line of symmetry is
- Question 11 – The following system of linear equations 7x - 3y + z = 0 3x - y + z = 0 x - y - z = 0 has:
- Question 12 – The acceleration of a body travelling in a straight line is given by a = -C 1 - C 2v2 where v is the velocity, and C 1, C 2 are positive constants.…
- Question 13 – The three-dimensional stress-strain relationship for an isotropic material is given as Bmatrix xx\\ yy\\ zz\\ yz\\ xz\\ xyBmatrix =…
- Question 14 – Consider the free vibration responses P, Q, R and S (shown in the figure) of a single degree of freedom spring-mass-damper system with the same…
- Question 15 – For a single degree of freedom spring-mass-damper system subjected to harmonic forcing, the part of the motion (response) that decays due to damping…
- Question 16 – For an ideal gas, the specific heat at constant pressure is 1147 J/kg K and the ratio of specific heats is equal to 1.33. What is the value of the gas…
- Question 17 – A surrogate liquid hydrocarbon fuel, approximated as C 10H 12, is being burned in a land-based gas turbine combustor with dry air (79% N 2 and 21% O 2…
- Question 18 – In the figure shown below, various thermodynamics processes for an ideal gas are represented. Match each curve with the process that it best…
- Question 19 – In an airbreathing gas turbine engine, the combustor inlet temperature is 600 K. The heating value of the fuel is 43.4 106 J/kg. Assume C p to be 1100…
- Question 20 – Which one of the following figures represents the drag polar of a general aviation aircraft?
- Question 21 – In the context of steady, inviscid, incompressible flows, consider the superposition of a uniform flow with speed U along the positive x-axis (from…
- Question 22 – On Day 1, an aircraft flies with a speed of V 1 m/s at an altitude where the temperature is T 1 K. On Day 2, the same aircraft flies with a speed of…
- Question 23 – Consider a steady, isentropic, supersonic flow (Mach number M > 1) entering a Convergent-Divergent (CD) duct as shown in the figure. Which one of the…
- Question 24 – Consider steady, incompressible, inviscid flow past two airfoils shown in the figure. The coefficient of pressure at the trailing edge of the airfoil…
- Question 25 – Which of the following options is/are correct? (A) The stress-strain graph for a nonlinear elastic material is as shown in the figure [Figure: a curve…
- Question 26 – Which of the following statements is/are correct about a satellite moving in a geostationary orbit?
- Question 27 – In a conventional configuration airplane, the rudder can be used:
- Question 28 – Which of the following statements about a general aviation aircraft, while operating at point Q in the V-n diagram, is/are true?
- Question 29 – Two fair dice with numbered faces are rolled together. The faces are numbered from 1 to 6. The probability of getting odd numbers on both the dice is…
- Question 30 – A particle acted upon by a constant force 4 i + j - 3 k N is displaced from point A with position vector i + 2 j + 3 k m to point B with position…
- Question 31 – Using Trapezoidal rule with one interval, the approximate value of the definite integral: 12 dx1 + x2 = (rounded off to 2 decimal places).
- Question 32 – A material has Poisson's ratio = 0.5 and Young's modulus E = 2500 MPa. The percentage change in its volume when subjected to a hydrostatic stress of…
- Question 33 – An airplane experiences a net vertical ground reaction of 15000 N during landing. The weight of the airplane is 10000 N. The landing vertical load…
- Question 34 – An aircraft with a turbojet engine is flying with 250 m/s speed at an altitude, where the density of air is 1 kg/m3. The inlet area of the engine is 1…
- Question 35 – Using thin airfoil theory, the lift coefficient of a NACA 0012 airfoil placed at 5o angle of attack in a uniform flow is (rounded off to 2 decimal…
- Question 36 – Given y = epx qx, where p and q are non-zero real numbers, the value of the differential expression d2ydx2 - 2pdydx + (p2 + q2)y is
- Question 37 – The volume of the solid formed by a complete rotation of the shaded portion of the circle of radius R about the y-axis is k R3. The value of k is:
- Question 38 – As per the International Standard Atmosphere model, which one of the following options about density variation with increase in altitude in the…
- Question 39 – At a point in the trajectory of an unpowered space vehicle moving about the Earth, the altitude above the mean sea level is 600 km, and the speed with…
- Question 40 – A multistage axial compressor, with overall isentropic efficiency of 0.83, is used to compress air at a stagnation temperature of 300 K through a…
- Question 41 – An aircraft with a turbojet engine is flying at 250 m/s. The uninstalled thrust produced by the engine is 60000 N. The heating value of the fuel is 44…
- Question 42 – Consider a flat plate, with a sharp leading edge, placed in a uniform flow of speed U. The direction of the free-stream flow is aligned with the…
- Question 43 – Shock structures for flow at three different Mach numbers over a given wedge are shown in the figure below. Assuming that only the weak shock…
- Question 44 – Air flowing at Mach number M = 2 from left to right accelerates to M = 3 across an expansion corner as shown in the figure. What is the value of (the…
- Question 45 – Consider the function f(x) = cases x2 & for x < 0 \\ x & for x 0 cases where x is real. Which of the following statements is/are correct?
- Question 46 – The figure shows plots of two yield loci for an isotropic material, where I and II are the principal stresses, and Y is the yield stress in uniaxial…
- Question 47 – Which of the following statements about absolute ceiling and service ceiling for a piston-propeller aircraft is/are correct?
- Question 48 – For an airplane having directional / weathercock static stability, which of the following options is/are correct? (B) The variation of yawing moment…
- Question 49 – Which of the following statements is/are TRUE for an axial turbine?
- Question 50 – Which of the following statements is/are TRUE for a single stage axial compressor?
- Question 51 – Consider the matrix A = bmatrix 5 & k \\ -4 & -1 bmatrix, where k is a constant. If the determinant of A is 3, then the ratio of the largest…
- Question 52 – The state of stress at a point is caused by two separate loading cases. One of them produces a pure uniaxial tension along the x' direction, and other…
- Question 53 – In the figure shown below, the magnitude of internal force in member BC is N (rounded off to 1 decimal place).
- Question 54 – The cross section of a thin-walled beam with uniform wall thickness t, shown in the figure, is subjected to a bending moment M x = 10 Nm. If h = 1 m…
- Question 55 – The equations of motion for a two degrees of freedom undamped spring-mass system are: m x 1 + 2kx 1 - kx 2 = 0 m x 2 - kx 1 + 2kx 2 = 0 where m and k…
- Question 56 – Consider the plane strain field given by xx = 10xy2, yy = -5x2y and xy = Axy(2x - y) where, A is a constant and xy is the engineering shear strain.…
- Question 57 – A chemical rocket with an ideally expanded flow through the nozzle produces 5 106 N thrust at sea level. The specific impulse of the rocket is 200 s…
- Question 58 – A centrifugal compressor is designed to operate with air. At the leading edge of the tip of the inducer (eye of the impeller), the blade angle is 45o,…
- Question 59 – Consider the following Fanno flow problem: Flow enters a constant area duct at a temperature of 273 K and a Mach number 0.2 and eventually reaches…
- Question 60 – Consider an artificial satellite moving around the Moon in an elliptic orbit. The altitude of the satellite from the Moon's surface at the perigee is…
- Question 61 – For an aircraft moving at 4 km altitude above mean sea level at a Mach number of 0.2, the ratio of equivalent air speed to true air speed is (rounded…
- Question 62 – For a general aviation airplane, one of the complex conjugate pair of eigenvalues for longitudinal dynamics is given by -0.039 0.0567\,i (in SI…
- Question 63 – The figure (not to scale) shows a control volume to estimate the forces on the airfoil with elliptic cross-section. Surfaces 2 and 3 are streamlines.…
- Question 64 – An airplane of mass 1000 kg is in a steady level flight with a speed of 50 m/s. The wing has an elliptic planform with a span of 20 m and planform…
- Question 65 – It is desired to estimate the aerodynamic drag, D, on a car traveling at a speed of 30 m/s. A one-third scale model of the car is tested in a…