GATE 2022 AE – Previous Year Questions with Solutions
All 65 questions of GATE 2022 AE with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – Writing too many things on the while teaching could make the students get .
- Question 2 – Which one of the following is a representation (not to scale and in bold) of all values of x satisfying the inequality 2-5x-6x-53 on the real number…
- Question 3 – If f(x)=2(ex), what is the area bounded by f(x) for the interval [0,2] on the x-axis?
- Question 4 – A person was born on the fifth Monday of February in a particular year. Which one of the following statements is correct based on the above…
- Question 5 – Which one of the groups given below can be assembled to get the shape that is shown above using each piece only once without overlapping with each…
- Question 6 – Fish belonging to species S in the deep sea have skins that are extremely black (ultra-black skin). This helps them not only to avoid predators but…
- Question 7 – For the past m days, the average daily production at a company was 100 units per day. If today’s production of 180 units changes the average to 110…
- Question 8 – Consider the following functions for non-zero positive integers, p and q. f(p,q)=p p p=pq (q terms), f(p,1)=p. g(p,q) is the right-associated power…
- Question 9 – Four cities P, Q, R and S are connected through one-way routes as shown in the figure. The travel time between any two connected cities is one hour.…
- Question 10 – Equal sized circular regions are shaded in a square sheet of paper of 1 cm side length. Two cases, case M and case N, are considered as shown in the…
- Question 11 – The tangent to y=x2 at (1,1) is
- Question 12 – Rotating i+ j about positive k by 135° gives
- Question 13 – For real x and i=-1, the real part of cos(ix) is
- Question 14 – The point of maximum entropy on a Fanno-curve in a Temperature-Entropy (T-s) diagram represents the
- Question 15 – For two-dimensional potential flow over a cylinder at free-stream speed U , the maximum cylinder-surface speed is
- Question 16 – For steady two-dimensional incompressible flat-plate flow in control volume PQRS, inlet PQ speed is uniform u and outlet RS speed is u=A 0(y/h)n, n…
- Question 17 – Consider the velocity distribution, u(y) shown in the figure. For two adjacent fluid layers L1 and L2, the viscous force exerted by L1 on L2 is
- Question 18 – The service ceiling of an airplane is the altitude
- Question 19 – Regarding the horizontal tail of a conventional airplane, which one of the following statements is true?
- Question 20 – A beam with a symmetrical T-shaped cross-section, as shown in the figure, is subjected to pure bending. The maximum magnitude of the normal stress is…
- Question 21 – A three-member truss is simply supported at Q and R, and loaded at P by a horizontal force F as shown. The force in QR is
- Question 22 – The closed thin-walled rectangular channel shown in figure (i) is opened by introducing a sharp cut at the center of the bottom edge, as shown in…
- Question 23 – The region of highest static temperature in a rocket engine and the region of highest heat flux are , respectively.
- Question 24 – For mutually perpendicular unit vectors a, b, c, the scalar triple product a( b c) can be
- Question 25 – Across an oblique shock wave in a calorifically perfect gas,
- Question 26 – NACA 2412 airfoil has
- Question 27 – For International Standard Atmosphere (ISA) up to 11 km, which of the following statement(s) is/are true?
- Question 28 – Let σ and τ represent the normal stress and shear stress on a plane, respectively. The Mohr circle(s) that may possibly represent the state of stress…
- Question 29 – An isotropic linear elastic material point under plane strain condition in the x-y plane always obeys:
- Question 30 – A high-pressure-ratio multistage axial compressor encounters an extreme loading mismatch during starting. Which of the following technique(s) can be…
- Question 31 – Arc length of x=,y=,z= from 0 to 2 (one decimal place) is .
- Question 32 – An unpowered glider is flying at a glide angle of 10 degrees. Its lift-to-drag ratio is (round off to two decimal places).
- Question 33 – Plane stresses are xx=110 MPa, yy=30 MPa, xy=40 MPa. The normal stress on the shown 45° plane (nearest integer MPa) is .
- Question 34 – In a static test, a turbofan engine with bypass ratio of 9 has core hot exhaust speed 1.5 times that of fan exhaust speed. The engine is operated at a…
- Question 35 – A turbine stator delivers gas at 500 m/s and 70° to the turbine axis. Rotor blade speed is 250 m/s. Its leading-edge relative-flow blade angle β (one…
- Question 36 – The height of a right circular cone of maximum volume that can be enclosed within a hollow sphere of radius R is
- Question 37 – For y-2y+y=0, y(0)=0 and y′(0)=1, the value y(1/2) is
- Question 38 – For f xx+f yy=0 and real separated solution f=a(x)b(y), which statement can be true?
- Question 39 – A 900 mm cylinder moves axially in air at 60 m/s. A half-scale water model has drag 2280 N. Air has μ=1.8610-5 Pa s and ρ=1.2 kg/m³; water has…
- Question 40 – For a conventional subsonic aircraft, e is Oswald factor and AR aspect ratio. At minimum C D/C L3/2, which relation holds?
- Question 41 – A horizontal load F is applied at R on the shown two-member truss. Both members are prismatic, have cross-sectional area A 0 and Young’s modulus E.…
- Question 42 – Which of the following is NOT always true for a combustion process taking place in a closed system?
- Question 43 – The real function y=2( x ) is
- Question 44 – A convergent nozzle fed from a constant pressure, constant temperature reservoir, is discharging air to atmosphere at 1 bar (absolute) with choked…
- Question 45 – For a conventional airplane in straight, level, constant velocity flight condition, which of the following condition(s) is/are possible on Euler…
- Question 46 – Consider a high Earth-orbiting satellite of angular momentum per unit mass hሬ⃗ and eccentricity e. The mass of the Earth is M and G is the universal…
- Question 47 – A rocket at absolute chamber pressure 20 bar produces thrust F 1. Its hot exhaust is optimally expanded to 1 bar through a convergent-divergent nozzle…
- Question 48 – For v=x3 i+y3 j+z3 k, the outward flux over the unit sphere centered at the origin (one decimal place) is .
- Question 49 – The largest eigenvalue of pmatrix0&1&1\\1&0&1\\1&1&0pmatrix is .
- Question 50 – Air flow is V=ay i+bx j, with a=10 s⁻¹, b=20 s⁻¹ and ρ=1 kg/m³. Pressure at (0,0) is 100 kPa. Neglecting gravity, pressure at (6,8) m (nearest integer…
- Question 51 – A wing has (y)= 0(1-2 y /b) for y b/2. Span b=10 m, peak circulation 20 m²/s, density 1.2 kg/m³ and speed 80 m/s. Wing lift (nearest integer N) is .
- Question 52 – Consider a solid cylinder housed inside another cylinder as shown in the figure. Radius of the inner cylinder is 1 m and its height is 2 m. The gap…
- Question 53 – A converging duct has inlet area 1 m² and speed 15 m/s at 300 K. Air is inviscid and isothermal with R=287 J/(kg K), γ=1.4. Minimum exit area for…
- Question 54 – Consider a thin symmetric airfoil at 2 degree angle of attack in a uniform flow at 50 m/s. The pitching moment coefficient about its leading edge is…
- Question 55 – A convergent-divergent nozzle with adiabatic walls is designed for an exit Mach number of 2.3. It is discharging air to atmosphere under the…
- Question 56 – A conventional airplane of mass 5000 kg is doing a level turn of radius 1000 m at a constant speed of 100 m/s at sea level. Taking the acceleration…
- Question 57 – The tip deflection and tip slope of a tip-loaded cantilever of length L are NL3/(3EI) and NL2/(2EI), where N is tip force. A rectangular cantilever PQ…
- Question 58 – A simply supported Aluminium column of length 1 m and rectangular cross- section w× t with t≤w, is subjected to axial compressive loading. Young’s…
- Question 59 – A 0.5 m long thin-walled circular shaft of radius 2 cm is to be designed for an axial load of 7.4 kN and a torque of 148 Nm applied at its tip, as…
- Question 60 – A 10 kN axial load acts eccentrically on a square rod of cross section 1 cm ×1 cm. Top and bottom strain gauges 0.5 m from the tip measure 1=0.0016…
- Question 61 – For a thin-walled I section, the width of the two flanges as well as the web height are the same, i.e., 2b = 20 mm. Thickness is 0.6 mm. The second…
- Question 62 – A damper with damping coefficient, c, is attached to a mass of 5 kg and spring of stiffness 5 kN/m as shown in figure. The system undergoes…
- Question 63 – A uniform rigid prismatic bar of mass m is suspended by two identical springs at its ends, as shown. If 1< 2 are the two natural frequencies, 2/ 1 is…
- Question 64 – An ideal ramjet is to operate with exhaust gases optimally expanded to ambient pressure at an altitude where temperature is 220 K. The exhaust speed…
- Question 65 – A multistage axial compressor receives air at 1 atm,300 K and compresses it to at least 5 atm. Mean blade speed U=245 m/s and stage work coefficient h…