GATE 2021 AE – Previous Year Questions with Solutions
All 65 questions of GATE 2021 AE with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – Which of the following sentences are grammatically correct? (i) Arun and Aparna are here. (ii) Arun and Aparna is here. (iii) Arun’s families is here.…
- Question 2 – The mirror image of PHYLAXIS about the x-axis is
- Question 3 – Two identical cube shaped dice each with faces numbered 1 to 6 are rolled simultaneously. The probability that an even number is rolled out on each…
- Question 4 – and are operators such that p q=p-q and p q=pq. Then (9(67))(7(65))=
- Question 5 – Four persons P, Q, R and S are to be seated in a row. R should not be seated at the second position from the left end. The number of distinct seating…
- Question 6 – A person travels 3 units east and then 4 units south from O to P. From P, the person travels northeast to a point 6 units east of O, then northwest to…
- Question 7 – The author said, “Musicians rehearse before their concerts. Actors rehearse their roles before the opening of a new play. On the other hand, I find it…
- Question 8 – 1. Some football players play cricket. 2. All cricket players play hockey. Which statement logically follows?
- Question 9 – PQRS is a square of side r. The shaded area is the intersection of sectors of circles of radius r centered at S and Q. The probability that a…
- Question 10 – In equilateral triangle PQR, PQ is divided into four equal parts, QR into six and PR into eight. Each part has integer length in cm. The minimum area…
- Question 11 – The solution of y+8y+16y=0, with y(0)=1, y(0)=0, is
- Question 12 – The partial differential equation u xx-4u xy+6u yy=x+2y is
- Question 13 – The velocity field V=(2x+3y) i+(3x+2y) j represents
- Question 14 – The nozzle exit flow patterns A and B shown correspond, respectively, to
- Question 15 – The ideal combustion process in a turboshaft engine is
- Question 16 – At fixed flight speed, the specific thrust of a turbojet engine with increasing flight altitude
- Question 17 – At fixed flight Mach number and altitude, increasing compressor pressure ratio of a turbofan engine causes propulsive efficiency to
- Question 18 – A rocket produces 25 MN thrust for 150 s with specific impulse 2980 N s/kg. Propellant consumed is approximately
- Question 19 – The shape of an ideal diffuser that decelerates a supersonic stream to a subsonic stream is
- Question 20 – Under uniaxial tension, the failure planes for brittle and ductile materials, respectively, are
- Question 21 – For the plane stress state x=-80 MPa, y=-20 MPa and xy=-30 MPa, the indicated maximum-shear plane angle to the x-axis is
- Question 22 – The ratio of true airspeed to equivalent airspeed is
- Question 23 – The shown pitching-moment coefficient versus angle-of-attack plot indicates
- Question 24 – Across an oblique shock, which statements hold?
- Question 25 – Which statements about the Kutta condition are correct?
- Question 26 – For a cambered airfoil in thin-airfoil theory, which are correct?
- Question 27 – x0(1/ x-1/x)=
- Question 28 – The counterclockwise contour integral z =1z3/(4z-i)\,dz is (round to three decimals)
- Question 29 – A single degree of freedom spring-mass-damper system is designed to return to its original unperturbed position in minimum possible time without…
- Question 30 – Two cantilever beams made of the same homogeneous material have identical cross sections and lengths L and 2L. The ratio of the first natural…
- Question 31 – A point vortex of strength 5 m²/s lies outside the shown polygonal closed contour. The circulation around the contour is m²/s.
- Question 32 – In a thin-walled closed cylindrical pressure vessel, hoop strain is three times axial strain. Poisson’s ratio is
- Question 33 – A jet aircraft has wing loading 1800 N/m², wing area 30 m², drag polar C D=0.02+0.04C L2 and C L,max=1.6. For air density 1.225 kg/m³, the speed for…
- Question 34 – A twin-engine airplane at 100 m/s and density 1.225 kg/m³ has S=50 m², b=10 m, engine thrust 8000 N and lateral engine arm 5 m. Right engine fails.…
- Question 35 – The velocity required to launch a space shuttle from the surface of Earth to achieve a circular orbit of altitude 250 km is (two decimals). For Earth,…
- Question 36 – A massless bent rod, pivoted as shown, carries mass m at coordinates (L,H) and a spring k at horizontal distance L/2 from the pivot. Its…
- Question 37 – Three floating ice blocks contain (i) pure ice, (ii) a steel ball, (iii) an air bubble. After complete melting, the respective water-level changes are
- Question 38 – To estimate loads on an aircraft flying at 100 km/h at standard sea level, a one-fifth scale model is tested in a variable-density tunnel at ten times…
- Question 39 – The shown optical arrangement for visualizing compressible-flow density gradients, without a knife edge, is
- Question 40 – At the top of an inverted vertical loop, the airplane load factor n satisfies
- Question 41 – For f(x)=e-x x , which statements hold?
- Question 42 – A two degree of freedom spring-mass system has natural frequencies 233.9 and 324.5 rad/s and corresponding mode shapes φ1=(1,−3.16), φ2=(1,3.16). With…
- Question 43 – A normal shock moves into stationary gas. Unprimed properties use the laboratory frame; primed properties use the shock-fixed frame. Subscripts 1,2…
- Question 44 – Which aircraft dynamic-stability statements are correct?
- Question 45 – Which aircraft-performance statements are correct?
- Question 46 – Which static-stability statements are correct?
- Question 47 – The ratio of the product of eigenvalues to their sum for A=bmatrix3&1&2\\2&-3&-1\\1&2&1bmatrix is (nearest integer)
- Question 48 – Approximate 15x2\,dx using four equal intervals. The difference between trapezoidal and Simpson results is (two decimals)
- Question 49 – A beam has deflection v=w48EI(2x4-3Lx3+L3x). The location of maximum deflection, expressed as x/L, is (two decimals)
- Question 50 – A stationary cart carries a water tank and deflector. A 5 cm diameter jet of speed 10 m/s is deflected through 60° as shown. With water density 1000…
- Question 51 – An elliptic wing has aspect ratio 10, section lift slope 2 per radian and angle of attack 5°. Its induced-drag coefficient is (three decimals)
- Question 52 – For boundary-layer profile u/U=(y/)2, the shape factor */ is
- Question 53 – A turbojet has flight speed 270 m/s, inlet static enthalpy 260 kJ/kg, fuel/air ratio 0.019, fuel heating value 44.5 MJ/kg, heat loss 25 kJ/kg air and…
- Question 54 – Hot gases at 2100 K and 14 MPa expand ideally to 0.1 MPa through a convergent-divergent nozzle of throat area 0.1 m². Molecular mass is 22 kg/kmol,…
- Question 55 – A twin-spool turbofan at sea level (1 bar,288 K) has separate cold and hot nozzles, total air flow 100 kg/s, cold exhaust temperature 288 K, fan…
- Question 56 – At design conditions, a single-stage axial compressor has rotor exit blade angle 30°, absolute inlet/exit velocities 140/240 m/s and relative…
- Question 57 – An axial turbine has rotor relative inlet and exit angles 21° and 55°, degree of reaction 0.4, blade speed 340 m/s, flow area 0.08 m² and density 0.9…
- Question 58 – A combustor receives 100 kg/s air at 600 K with cp=1000 J/(kg K). Exhaust is 1200 K with cp=1200 J/(kg K), fuel heating value 40 MJ/kg and combustion…
- Question 59 – A rigid horizontal bar ABC, with roller support at A, is pinned to columns BD and CE at B and C. BD is fixed at D, CE pinned at E. BC=100 cm, BD=75…
- Question 60 – A two-cell wing box has rectangular cells 200×300 and 300×300 mm, wall thickness 1.5 mm and shear modulus 27 GPa. Under torque 12 kN m, the magnitude…
- Question 61 – Cantilever beams AB and DC contact at their free ends through a roller. Both have 50×50 mm square cross sections and E=70 GPa. AB is 400 mm long under…
- Question 62 – A 3 m ×1 m signboard is supported by a hollow square pole fixed to the ground. Its outer side is 250 mm, and material yield strength 240 MPa. The sign…
- Question 63 – An airplane of mass 5500 kg, initially in steady level flight at 225 m/s, starts a steady pull-up with curvature radius 775 m. CG is 20 cm ahead of…
- Question 64 – An aircraft in level flight at 100 m/s has weight 100000 N, wing area 30 m², span 10 m, zero-lift drag coefficient 0.025, elliptic loading and density…
- Question 65 – An aircraft has wing area 350 m², chord 9 m, wing lift slope 0.1 per degree, CG at 30% chord and wing aerodynamic center at 25% chord. Tail area is 80…