GATE 2019 AE – Previous Year Questions with Solutions
All 65 questions of GATE 2019 AE with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – The fishermen, the flood victims owed their lives, were rewarded by the government.
- Question 2 – Some students were not involved in the strike. If this is true, which conclusions are logically necessary? 1. Some who were involved in the strike…
- Question 3 – The radius and height of a circular cone each increase by 10%. What is the percentage increase in volume?
- Question 4 – Arrange 10,7,5,4,2 from left to right so that no two odd or even numbers are adjacent, the second is half the leftmost, and the middle is twice the…
- Question 5 – Until Iran came along, India had never been in kabaddi.
- Question 6 – After a 125-basis-point RBI repo-rate reduction over the last year, banks had demanded lower interest rates on small saving schemes. The government…
- Question 7 – A country has population 1400 million, of whom 70% own mobile phones. Among phone owners, 294 million access the Internet; half of those buy goods…
- Question 8 – Hindustani music terminology has changed over centuries. Medieval dhrupad styles were called baanis. Gayaki and baaj referred to vocal and…
- Question 9 – Two trains leave the same point at 7 AM, one north at 80 km/h and the other south at 100 km/h. At what time are they 540 km apart?
- Question 10 – “I read somewhere that in ancient times the prestige of a kingdom depended upon the number of taxes that it was able to levy on its people. It was…
- Question 11 – For real x, what is the maximum value of f(x)=xe-x?
- Question 12 – Rotate the vector a= i+ j through +90° about the k axis. The resulting vector is
- Question 13 – For f(x,y)=x2+y2, the unit direction of fastest increase at (3,4) is
- Question 14 – The dimensions of kinematic viscosity are
- Question 15 – For a velocity potential φ and velocity V=u i+v j, which condition necessarily holds?
- Question 16 – For quasi-one-dimensional isentropic supersonic flow through a diverging duct,
- Question 17 – For a NACA 2415 airfoil of chord c, which statement is correct?
- Question 18 – For the take-off ground roll of a propeller-driven airplane, which statement about a headwind is FALSE?
- Question 19 – Which response shown in the figure represents a dynamically unstable airplane?
- Question 20 – A ramjet has lower propulsive efficiency than a low-bypass turbofan producing the same thrust under the same flight conditions because it has
- Question 21 – At Mach 2 and altitude 11 km, arrange the following engines in increasing order of thrust-specific fuel consumption for the same thrust.
- Question 22 – For single-stage subsonic compressors, compare the highest obtainable pressure ratios of axial and centrifugal types.
- Question 23 – When a transverse load on a beam acts through its shear centre,
- Question 24 – For f(x)=12(x+ x ), evaluate -11f(x)\,dx.
- Question 25 – Evaluate 0(-)/3 (two decimal places).
- Question 26 – A cylinder of diameter 1 m moves through air at STP at 1 m/s. A geometrically similar model has diameter 0.1 m and is tested in air at STP. What speed…
- Question 27 – An airplane with maximum lift-to-drag ratio 18 begins an ideal glide at an altitude of 4 km. What is the maximum horizontal range in km?
- Question 28 – An airplane has angle of attack 3° and velocity components 300 km/h horizontally and 15.72 km/h vertically upward. Find its pitch angle in degrees…
- Question 29 – At true airspeed 50 m/s, air density 0.91 kg/m³ and pressure 70000 Pa, find equivalent airspeed in m/s (two decimal places). Standard sea-level…
- Question 30 – How many moles of oxygen are required for complete combustion of one mole of ethanol (C₂H₅OH)?
- Question 31 – One kg of a diatomic ideal gas is heated at constant pressure from 100 K to 600 K by supplying 500 kJ. Find its constant-volume specific heat in…
- Question 32 – How many independent elastic constants specify a homogeneous isotropic linear elastic solid?
- Question 33 – A thin isotropic plate has E=210 GPa, Poisson ratio 0.3, initial x dimension 100 mm and y dimension 200 mm. Under plane stress σxx=100 MPa and σyy=240…
- Question 34 – A plane-stress element has σxx=200 MPa, σyy=100 MPa and shear stress of magnitude 100 MPa with directions shown. Find the normal stress on the…
- Question 35 – In the spring–mass system shown, m=3 kg and each spring has stiffness k=20 kN/m. Find the natural frequency in Hz (nearest integer).
- Question 36 – How many solutions does the homogeneous system 2x−y−z=0, −x+2y−z=0, −x−y+2z=0 have?
- Question 37 – An incident weak oblique shock is reflected as a weak oblique shock from the wall, as shown. Which relation between shock angles β₁, β₂ and…
- Question 38 – Consider statements about adverse yaw: P: it is caused by flow separation over the rudder. Q: it is caused by unequal wing drag when ailerons are…
- Question 39 – If compressor efficiency decreases in a gas-turbine engine while turbine-inlet temperature remains fixed, the thrust-specific fuel consumption
- Question 40 – A simply supported beam PR of length 1 m has a downward force 200 N and counterclockwise couple 100 N m at its midpoint Q. Which bending-moment…
- Question 41 – How many points of intersection do y=x and y=cos x have?
- Question 42 – One eigenvalue of A=pmatrixx&2\\-1&3pmatrix is 1. Find its other eigenvalue.
- Question 43 – For dy/dx=y2 with y(1)=−1, the source asks for y(−2). Give the value intended by the official key.
- Question 44 – Uniform incompressible potential flow past a circular cylinder of radius R has u r=U(1-R2/r2) and u =-U(1+R2/r2). At what first-quadrant surface angle…
- Question 45 – Water in a cylindrical container of radius 50 cm rotates as a rigid body. The water level at the wall rises 10 cm from its initial level. Find the…
- Question 46 – A steady two-dimensional incompressible flow has stream function =xy3 (SI units), density 1 kg/m³ and dynamic viscosity 0.1 kg/(m s). At (x,y)=(1,1)…
- Question 47 – Across a stationary normal shock, p 2/p 1=1+[2/(+1)](M 12-1). Upstream air has speed 800 m/s, static temperature 300 K and pressure 1 atm. With γ=1.4…
- Question 48 – Using thin-airfoil theory, find the magnitude of the leading-edge pitching-moment coefficient for a symmetric airfoil at angle of attack 10° (two…
- Question 49 – A finite wing of span b=10 m has circulation (y)= 01-(2y/b)2, with Γ₀=20 m²/s. Free-stream density and speed are 1.2 kg/m³ and 100 m/s. Find total…
- Question 50 – An airplane starts a symmetric pull-up from steady level flight with nose-up pitch acceleration 20 deg/s². At this instant its CG vertical load factor…
- Question 51 – An airplane weighs 8000 N and has wing area 16 m², zero-lift drag coefficient 0.02, Oswald efficiency 0.8 and aspect ratio 6. Its lift coefficient in…
- Question 52 – Earth has GM=3.986×10¹⁴ m³/s² and radius 6371 km. Find the minimum instantaneous velocity increment, in km/s, for a spacecraft in a circular orbit at…
- Question 53 – A propeller airplane initially weighs 4905 N, has wing area 6.84 m² and maximum C L3/2/C D=13. Propeller efficiency is 0.9 and specific fuel…
- Question 54 – If horizontal-tail area is increased by 20% and its moment arm is reduced by 20%, find the ratio of the new tail contribution to longitudinal static…
- Question 55 – An optimally expanded rocket engine operates with unchanged mass flow and exhaust speed. Its flight speed is doubled. Find the ratio of the new thrust…
- Question 56 – A rocket has initial mass 1720 kg, final dry mass 1000 kg and specific impulse 3000 N s/kg. Neglect external forces. Find the velocity increment in…
- Question 57 – A turbine has stagnation inlet temperature 1200 K and outlet temperature 900 K. The outlet-to-inlet stagnation pressure ratio is 0.14 and γ=1.2. Find…
- Question 58 – The compressor rotor velocity triangles are shown. Axial velocity is 60 m/s, inlet absolute-flow angle is 30° from the axial direction, blade speed is…
- Question 59 – A rigid uniform slab hangs symmetrically from three vertical cables of identical length and cross-sectional area. The outer cables have Young’s…
- Question 60 – The pin-jointed right-isosceles truss shown has a 10 cm base. Each member has E=200 GPa and second moment of area 0.1 cm⁴. Determine the largest…
- Question 61 – A solid circular shaft has factor of safety 2 under a given torque. A concentric hole of radius R/2 is made, leaving the same outer radius R and the…
- Question 62 – A bent circular bar has AB=0.55 m along x, BC=0.5 m along y and radius 0.01 m. An out-of-plane force F acts at C as shown. Yield strength is 280 MPa.…
- Question 63 – A thin closed single-cell section consists of a semicircle of radius 50 mm and the triangular part shown, with axial width 500 mm and total height 100…
- Question 64 – A damped spring–mass system has m=10 kg, stiffness 1000 N/m and damping coefficient 20 N s/m. Find the ratio of the first positive displacement peak…
- Question 65 – Two masses of 10 kg each are connected between fixed supports by outer springs of stiffness k=1250 N/m and a central spring of stiffness 2k, as shown.…