GATE 2020 AE – Previous Year Questions with Solutions
All 65 questions of GATE 2020 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 – The untimely loss of life is a cause of serious global concern as thousands of people get killed accidents every year while many others die diseases…
- Question 2 – He was not only accused of theft of conspiracy.
- Question 3 – Select the word that fits the analogy: Explicit : Implicit :: Express : .
- Question 4 – The Canadian constitution requires equal importance for English and French. Air Canada lost a lawsuit and paid a six-figure fine to a French-speaking…
- Question 5 – A superadditive function satisfies f(x 1+x 2) f(x 1)+f(x 2). Which function is superadditive for x > 1?
- Question 6 – The passage calls the 2008 global financial crisis the most serious worldwide financial crisis and says it began with the 2007 US sub-prime lending…
- Question 7 – At quarter past three, what is the angle between the clock’s hour and minute hands?
- Question 8 – A rectangle PQRS of maximum possible area is inscribed in a circle of centre O and radius a as shown. Find the shaded area outside the rectangle and…
- Question 9 – Real a,b,c define the quadratic ax2-bx+c=0 with equal root β. Which statement follows?
- Question 10 – The figure shows school P and Q enrolments during 2014–2018. Find the ratio of average enrolment in P to the average difference in enrolment between…
- Question 11 – For f(x)= x , with df/dx denoting the derivative, the mean value theorem is not applicable because
- Question 12 – For f(x)=e-/(2), where =(x-)2/(22) and σ, μ are constants, the maximum occurs at
- Question 13 – y=Aemx+Be-mx, with constants A,B,m, solves which equation?
- Question 14 – At room temperature, increasing temperature has which effect on dynamic viscosity of water and air?
- Question 15 – Complete body geometry and surface pressure/shear-stress distributions are known for a body in uniform flow. One can estimate
- Question 16 – Two infinitely long counter-rotating line vortices, each of circulation magnitude Γ, are separated by h in a fluid as shown. They will
- Question 17 – The figure plots streamlines of a steady two-dimensional flow in a 0.2 m high channel, with stream function Ψ in m²/s. Find volume flow rate per unit…
- Question 18 – Which can increase the Mach number of supersonic duct flow?
- Question 19 – Which condition makes =Ax4+By4+Cxy3 an Airy stress function?
- Question 20 – A plane strain field is xx=Ay2+x, yy=Ax2+y, xy=Bxy+y. Which relation ensures compatibility?
- Question 21 – A satellite of mass m has speed V at distance r from Earth’s centre. G is the gravitational constant and M is Earth’s mass. For a hyperbolic…
- Question 22 – For a conventional airplane, which signs apply to C l r= C l/ r and C n r= C n/ r, where δr is rudder deflection?
- Question 23 – For a rotating centrifugal-compressor impeller operating with its exit closed, the exit/inlet stagnation-pressure ratio is
- Question 24 – Which rocket-propellant pair is hypergolic?
- Question 25 – For perfectly expanded flow in an aircraft-engine nozzle, exit static pressure equals
- Question 26 – Three slender aluminium bars of identical length and equal area have circular, triangular and rectangular cross sections. Under axial tension they…
- Question 27 – A steady pull-out at the wing’s largest permitted positive angle of attack gives the positive high-angle-of-attack condition. In which labelled wing…
- Question 28 – A rectangular cantilever aluminium beam has first natural frequency ω rad/s. If length doubles with material and cross section unchanged, its first…
- Question 29 – Find the sum of squared eigenvalues of A=pmatrix&\\0&pmatrix.
- Question 30 – A space vehicle has burnout speed 13.5 km/s at 5° above the local horizon around Earth; the source describes its orbit as circular. Find the…
- Question 31 – Airplane velocity in body axes is [100, −10, 20] m/s. Find sideslip angle in degrees, to 2 decimals.
- Question 32 – The diffusion equation u t= u xx has a similarity solution with =x/ t. If u(x,0)=e-x2, find u(0,1)/u(0,4) to 1 decimal place.
- Question 33 – Air enters an axial-compressor rotor with zero pre-whirl and exits with whirl velocity 150 m/s. Blade speed is 200 m/s and cp = 1005 J/(kg K). Find…
- Question 34 – The shown closed thin-walled rectangular beam has constant thickness 2 mm, dimensions 400 mm × 100 mm, torque 3.2 kN m and shear modulus 25 GPa. Find…
- Question 35 – A 5000 kg airplane travels at 360 km/h at the bottom of a vertical circle of radius 400 m, as shown. With g = 9.8 m/s², find load factor at the centre…
- Question 36 – The equation x\,dx/dy+y=c, with constant c, represents a family of
- Question 37 – A wedge-shaped airfoil in supersonic flow has corners at xA, xB and xC as drawn. Which static-pressure profiles along y = yI and y = yII are correct?
- Question 38 – At what Poisson ratio does shear modulus equal bulk modulus for an isotropic solid?
- Question 39 – A stepped cantilever carries P = 3 N at its free end. The free-end segment is 2 m long with second moment I; the segment next to the fixed end is 1 m…
- Question 40 – The isotropic strain–stress compliance matrix has A on its three normal diagonal entries, C on the other entries in its 3×3 normal block, and B on the…
- Question 41 – Wind-tunnel yawing coefficients Cn for aircraft A/B/C are −0.030/−0.025/+0.040 at β = −5°, zero for all at β = 0°, and +0.030/+0.025/−0.040 at β =…
- Question 42 – A closed curve is x = a cos θ, y = b sin θ, with a = 7 m and b = 5 m. Using π = 22/7, find its enclosed area.
- Question 43 – An axial compressor is designed at 15000 rpm and inlet stagnation temperature 300 K. During testing the inlet stagnation temperature is 280 K. What…
- Question 44 – For the shown state σx = 18 MPa, σy = 12 MPa, τxy = +4 MPa, select the free-body diagram showing maximum in-plane shear and its associated normal…
- Question 45 – For AX = B, A is orthogonal and A=pmatrix1/2&0&1/2\\0&1&0\\1/2&0&-1/2pmatrix. The vectors are X=pmatrixx\\pmatrix, B=pmatrix0\\1\\-2pmatrix. Find…
- Question 46 – 01(x2-2x+1)dx is evaluated by the trapezoidal rule with four intervals. Find numerical minus analytical integral, to 3 decimals.
- Question 47 – An airfoil has low-speed Cl = 0.10 at α = 0° and Cl = 0.53 at α = 4°; maximum lift occurs at 16°. Use Prandtl–Glauert correction to find Cl at α = 6°…
- Question 48 – Uniform low-speed flow U₀ passes an airfoil of chord c. Far downstream, velocity is 0.995U₀ over a width c and U₀ elsewhere, as drawn. Static pressure…
- Question 49 – An oblique shock is inclined 35° to upstream velocity 517.56 m/s. Flow deflection is 5.75° and downstream temperature is 182.46 K. R = 287 J/(kg K), γ…
- Question 50 – A laminar flat-plate boundary layer has /x=5.2/Re x and velocity varies linearly with wall distance inside it. Free-stream velocity is 3 m/s and…
- Question 51 – A wing of span 15 m with elliptic lift distribution produces 80 kN lift at 90 m/s in air of density 1.2 kg/m³. Find induced angle of attack in…
- Question 52 – A solid circular ductile shaft with yield stress 280 MPa carries torque 10 kN m. Using Tresca theory, find minimum radius avoiding yield, in cm to 2…
- Question 53 – A planet’s perihelion/aphelion tangential-speed ratio is 1.0339. Its orbit around the Sun is planar and elliptic. Find eccentricity to 3 decimals.
- Question 54 – A general-aviation airplane at stable low-angle cruise has phugoid eigenvalues −0.02 ± i0.25 s⁻¹. With g = 9.8 m/s², find equilibrium speed in m/s, to…
- Question 55 – An airplane has tail efficiency η = 0.95, horizontal-tail volume ratio VH = 0.453, downwash slope dε/dα = 0.35, wing lift slope 4.8 rad⁻¹ and tail…
- Question 56 – A propeller-driven general-aviation airplane cruises at sea level (density 1.225 kg/m³) for maximum range. Its drag polar is CD = 0.025 + 0.049CL² and…
- Question 57 – An ideal ramjet has design flight Mach 2.8 and combustor-exit stagnation temperature 2400 K. With γ = 1.4 and R = 287 J/(kg K), find engine-exit air…
- Question 58 – An aircraft combustor receives air total enthalpy at 28.94 MJ/s and discharges at 115.42 MJ/s. Air flow is 32 kg/s, air/fuel mass ratio 15.6, and fuel…
- Question 59 – The axial-turbine T–S diagram gives T₀₁ = 1050 K, T₀₂ = 823 K, p₀₁ = 7.8 bar and p₀₂ = 2.5 bar. For γ = 1.33, find stage isentropic efficiency in…
- Question 60 – A rocket engine has sea-level specific impulse 210 s, throat area 0.005 m², characteristic velocity 1900 m/s and chamber pressure 50 bar. With g = 9.8…
- Question 61 – A critically damped door-closing spring–mass–damper becomes overdamped as its spring softens. The new damping ratio is 1.2 and all other parameters…
- Question 62 – The two-degree-of-freedom system shown has initial displacements x₁ = 2 cm and x₂ = 1.24 cm and vibrates in its first mode. If its first mode shape is…
- Question 63 – A 1 m beam is fixed at one end and simply supported at the other. It carries a uniform load of 10 N/m as shown. Find the magnitude of the…
- Question 64 – A 4000 kg airplane with wing reference area 25 m² flies at sea level with maximum lift coefficient 1.65. Air density is 1.225 kg/m³ and g = 9.8 m/s².…
- Question 65 – A wing-tip Pitot tube at altitude 3 km reads 0.72 bar and ambient temperature is 268.66 K. Sea-level pressure, temperature and density are 1.01 bar,…