GATE 2023 AE – Previous Year Questions with Solutions
All 65 questions of GATE 2023 AE with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – "You are delaying the completion of the task. Send contributions at the earliest."
- Question 2 – References : : : Guidelines : Implement (By word meaning)
- Question 3 – In the given figure, PQRS is a parallelogram with PS = 7 cm, PT = 4 cm and PV = 5 cm. What is the length of RS in cm? (The diagram is representative.)
- Question 4 – In 2022, June Huh was awarded the Fields medal, which is the highest prize in Mathematics. When he was younger, he was also a poet. He did not win any…
- Question 5 – A line of symmetry is defined as a line that divides a figure into two parts in a way such that each part is a mirror image of the other part about…
- Question 6 – Human beings are one among many creatures that inhabit an imagined world. In this imagined world, some creatures are cruel. If in this imagined world,…
- Question 7 – To construct a wall, sand and cement are mixed in the ratio of 3:1. The cost of sand and that of cement are in the ratio of 1:2. If the total cost of…
- Question 8 – The World Bank has declared that it does not plan to offer new financing to Sri Lanka, which is battling its worst economic crisis in decades, until…
- Question 9 – The coefficient of x4 in the polynomial (x-1)3(x-2)3 is equal to .
- Question 10 – Which one of the following shapes can be used to tile (completely cover by repeating) a flat plane, extending to infinity in all directions, without…
- Question 11 – The direction in which a scalar field (x,y,z) has the largest rate of change at a point with position vector r=x i+y j+z k is the direction of
- Question 12 – A monotonic continuous function y=f(x) has only one root in x 1<x<x 2. Then
- Question 13 – For u t+u x=0, -<x<, t0, and u(x,0)=e-x2, the solution at t=1 is
- Question 14 – A two-dimensional potential flow solution for flow past an airfoil has a streamline pattern as shown in the figure. Which of the following conditions…
- Question 15 – Consider the Blasius solution for the incompressible laminar flat plate boundary layer. Among the following options, select the correct relation for…
- Question 16 – In a two-dimensional potential flow, the doublet is a limit of the superposition of
- Question 17 – An ideal glider has C D=C D0+C Di with C Di=KC L2. For maximum range, the ratio C D0/C Di is
- Question 18 – The figures shown in the options are schematics of airfoil shapes (not to scale). For a civilian transport aircraft designed for a cruise Mach number…
- Question 19 – For a longitudinally statically stable aircraft, which one of the following represents the relationship between the coefficient of pitching moment…
- Question 20 – In a single-spool aviation turbojet engine, which of the following is the correct relationship between the total work output WT of a 2-stage axial…
- Question 21 – For a stage of a 50% reaction ideal axial flow compressor (symmetrical blading), select the correct statement from the options given.
- Question 22 – An aircraft cruises at V a and has engine-relative exhaust speed V j. If V j/V a=2, what is propulsive efficiency?
- Question 23 – Consider the four basic symmetrical flight loading conditions corresponding to the corners of a typical V-n diagram. For one of these flight loading…
- Question 24 – Which one of the following figures represents the qualitative variation of absolute deceleration dV dt with altitude h (measured from the mean sea…
- Question 25 – Which of the following statement(s) is/are true about harmonically excited forced vibration of a single degree-of-freedom linear spring-mass-damper…
- Question 26 – Which of the following statement(s) is/are true about the state of stress in a plane?
- Question 27 – Which of the following statement(s) is/are true about the ribs of an airplane wing with semi-monocoque construction?
- Question 28 – From the options given, select all that are true for turbofan engines with afterburners.
- Question 29 – Which statements about eigenvalues and eigenvectors are true?
- Question 30 – For studying wing vibrations, a wing of mass M and finite dimensions has been idealized by assuming it to be supported using a linear spring of…
- Question 31 – The system x-2y+ z=0, 2x+y-4z=0, x-y+z=0 has a nontrivial solution for = (integer).
- Question 32 – An airplane weighing 40 kN lands on a horizontal runway and is retarded by an arresting cable of tension 100 kN, inclined 10° below horizontal. Engine…
- Question 33 – The ratio of the speed of sound in H2 (molecular weight 2 kg/kmol) to that in N2 (molecular weight 28 kg/kmol) at temperature 300 K and pressure 2 bar…
- Question 34 – Airplane A and Airplane B are cruising at altitudes of 2 km and 4 km, respectively. The free stream density and static pressure at altitude 2 km are…
- Question 35 – A ramjet vehicle flies at 1000 m/s, burns hydrogen of heat value 120 MJ/kg, and has overall efficiency 40% (propulsive power/heat release). With g…
- Question 36 – For y=(x+3)(x-2) on -4<x<4, where is the minimum?
- Question 37 – A supersonic aircraft has an air intake ramp that can be rotated about the leading edge O such that the shock from the leading edge meets the cowl lip…
- Question 38 – Two missiles have equal specific impulse and initial mass 5600 kg. A burns 120 kg/s for 30 s; B burns 70 kg/s for 70 s. Neglect gravity and drag.…
- Question 39 – A perfect gas stored in a large reservoir exhausts into the atmosphere through a convergent duct. The reservoir pressure is P0 and temperature is T0.…
- Question 40 – An airplane weighs 10 kN, has area 15 m², drag polar C D=0.025+0.05C L2, and flies level at density 0.60 kg/m³ with thrust 1 kN. Maximum cruise speed…
- Question 41 – A scramjet has intake, isolator, combustor and nozzle. Station 3 is combustor entry. With constant stagnation enthalpy from free stream to 3 and…
- Question 42 – For dy/dx+ay= x, with constants a,ω and y(0)=1, select true statements as x.
- Question 43 – Given A=9 i-5 j+2 k, B=11 i+4 j+ k, C=-7 i+14 j-3 k, which statements are true?
- Question 44 – Consider a one-dimensional inviscid supersonic flow in a diverging duct with heat addition (Qin) as shown. Which of the following statement(s) is/are…
- Question 45 – With geopotential altitude h in km and gradient dT/dh in K/m, which pairs agree with ISA?
- Question 46 – For an airfoil, which critical and drag-divergence Mach-number relations are correct?
- Question 47 – Which of the following statement(s) about the elastic flexural buckling load of columns is/are correct?
- Question 48 – The thickness of a uniform hollow circular shaft is equal to the difference between the outer radius and the inner radius. The ratio of the inner…
- Question 49 – A rigid bar AB is subjected to a uniformly distributed load of 100 N/m as shown in the figure. The bar is supported by rod CD, with A, C, and D as pin…
- Question 50 – A cantilever beam of length 2a is loaded at the tip with force F as shown in the figure. The beam is supported in the middle by a roller with a pin.…
- Question 51 – A single degree-of-freedom spring-mass-damper system has viscous damping ratio of 0.1. The mass is given an initial displacement of 10 cm without…
- Question 52 – The shear flow distribution in a single cell, thin-walled beam under the action of an arbitrary shear load ys applied at the shear centre S is shown…
- Question 53 – Consider a thin-walled cylindrical pressure vessel made of an alloy with yield strength of 300 MPa. The vessel has end caps to contain the pressure.…
- Question 54 – For x2y+4xy+2y=0, x≥1, y(1)=0 and y′(1)=1, the value y(2) (two decimal places) is .
- Question 55 – A pump follows C P=a2, with C P=P/(3D5) and dimensionless volume-flow coefficient Φ. At constant flow, changing rotation rate to 1.25ω changes power…
- Question 56 – A thin cambered airfoil has zero lift at −1.1°. Below stall, its lift coefficient at 4° (two decimal places) is .
- Question 57 – Uniform flow U is superposed with line sources /2,-/3,/4,-/5 at x=0,1,2,3. The additional source strength at x=4 for a closed streamline enclosing all…
- Question 58 – Enstrophy is squared vorticity magnitude. For V=(4x-1.5y+2.5z) i+(1.5x-1.5y) j+0.7xy k, enstrophy at (1,1,1), to two decimal places, is .
- Question 59 – An airplane with wing planform area of 20 m2 and weight 8 kN is flying straight and level with a speed of 100 m/s. The total drag coefficient is 0.026…
- Question 60 – The maximum permissible load factor and the maximum lift force coefficient for an airplane is 7 and 2, respectively. For a wing loading of 6500 N/m2…
- Question 61 – A methane–air combustor operates at equivalence ratio =(F/A)/(F/A) stoich=0.5, with air flow 20 kg/s. Methane flow (kg/s, two decimal places) is .
- Question 62 – A planet has mass 6.41691023 kg and radius 3390 km. For G=6.6710-11\ Nm2/kg2, escape speed (km/s, one decimal place) is .
- Question 63 – A circular Earth orbit has period 90 min. Earth radius is 6370 km, mass 5.981024 kg and G=6.6710-11\ Nm2/kg2. Satellite altitude (nearest integer km)…
- Question 64 – A centrifugal compressor has inlet-root diameter 0.25 m, impeller outlet diameter 0.6 m and pressure ratio 5. Air enters at 1 atm and 25°C. Polytropic…
- Question 65 – A cryogenic expander-cycle rocket burns hydrogen at 32 kg/s and oxygen with m O 2/ m H 2=8. At stoichiometry with negligible reverse reaction, water…