GATE AE 2019 Question Paper & Solutions

Verbal Aptitude

The fishermen, government. the flood victims owed their lives, were rewarded by the

Verbal Aptitude

Some students were not involved in the strike. If the above statement is true, which of the following conclusions is/are logically necessary? 1. Some who were involved in the strike were students. 2. No student was involved in the strike. 3. At least one student was involved in the strike. 4. Some who were not involved in the strike were students.

Quantitative Aptitude

The radius as well as the height of a circular cone increases by 10%. The percentage increase in its volume is

Analytical & Spatial Aptitude

(C) 33.1 (D) 72.8 Q.4 Five numbers 10, 7, 5, 4 and 2 are to be arranged in a sequence from left to right following the directions given below: 1. No two odd or even numbers are next to each other. 2. The second number from the left is exactly half of the left-most number. 3. The middle number is exactly twice the right-most number. Which is the second number from the right?

Analytical & Spatial Aptitude

Until Iran came along, India had never been in kabaddi.

Verbal Aptitude

Q.6 Since the last one year, after a 125 basis point reduction in repo rate by the Reserve Bank of India, banking institutions have been making a demand to reduce interest rates on small saving schemes. Finally, the government announced yesterday a reduction in interest rates on small saving schemes to bring them on par with fixed deposit interest rates. Which one of the following statements can be inferred from the given passage?

Quantitative Aptitude

interest rates (C) The government sometimes takes into consideration the demands of banking institutions before reducing the interest rates on small saving schemes (D) A reduction in interest rates on small saving schemes follow only after a reduction in repo rate by the Reserve Bank of India Q.7 In a country of 1400 million population, 70% own mobile phones. Among the mobile phone owners, only 294 million access the Internet. Among these Internet users, only half buy goods from e-commerce portals. What is the percentage of these buyers in the country?

Quantitative Aptitude

(C) 15.00 (D) 50.00 Q.8 The nomenclature of Hindustani music has changed over the centuries. Since the medieval period dhrupad styles were identified as baanis. Terms like gayaki and baaj were used to refer to vocal and instrumental styles, respectively. With the institutionalization of music education the term gharana became acceptable. Gharana originally referred to hereditary musicians from a particular lineage, including disciples and grand disciples. Which one of the following pairings is NOT correct?

Verbal Aptitude

Two trains started at 7AM from the same point. The first train travelled north at a speed of 80km/h and the second train travelled south at a speed of 100 km/h. The time at which they were 540 km apart is AM.

Analytical & Spatial Aptitude

GATE 2019 General Aptitude (GA) Set-8 Q.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 very much like the prestige of a head-hunter in his own community." Based on the paragraph above, the prestige of a head-hunter depended upon

Linear Algebra

The maximum value of the function f(x) = xe-* (where x is real) is

Linear Algebra

1/e (B) 2/e2 (C) (e-1/2)/2 (D) 00 Aerospace Engineering Q.2 Vector b is obtained by rotating a = î + j by 90º about k, where i, j and k are unit vectors along the x, y and z axes, respectively. b is given by

Calculus

§ (4i - 37) Q.4 The dimensions of kinematic viscosity of a fluid (where L is length, T is time) are

Differential Equations

For a quasi-one-dimensional isentropic supersonic flow through a diverging duct, which of the following is true in the direction of the flow?

Numerical Methods

Both the Mach number and the static temperature increase. (B) The Mach number increases and the static temperature decreases. (C) The Mach number decreases and the static temperature increases. (D) Both the Mach number and the static temperature decrease. Q.7 For a NACA2415 airfoil of chord length c, which of the following is true?

Basic Fluid Mechanics

Which of the following graphs represents the response of a dynamically unstable airplane? response

Airfoil & Wing Theory

(C) time (D) Aw. time Q.10 The propulsive efficiency of a ramjet engine is lower than that of a low bypass turbofan engine operating under the same conditions and producing the same thrust, primarily because the ramjet engine

Compressible Flow & Shocks

GATE 2019 Aerospace Engineering Q.12 For a single stage subsonic compressor, which of the following statements about the highest possible compressor pressure ratio (CPR) is correct?

Compressible Flow & Shocks

CPR of an axial compressor > CPR of centrifugal compressor. (B) CPR of an axial compressor < CPR of centrifugal compressor. (C) CPR of an axial compressor = CPR of centrifugal compressor. (D) CPR of any value can be attained with either an axial or a centrifugal compressor. Q.13 For a beam subjected to a transverse shear load through its shear center,

Wind Tunnel Testing & Instrumentation

01 (see Figure 1). The resulting oblique shock with shock angle ß is then reflected from the top wall. For the reflected shock, the turn angle is 02 and the shock angle is Bz. increasing M M2 Figure 1 Figure 2 Use the weak shock solution from the e-ß-M plot shown in Figure 2 to choose the correct option from the following.

Atmospheric Flight Mechanics

Which of the following statements about adverse yaw of an airplane is/are correct? P. It is caused by flow separation resulting from large rudder deflection. Q. It is caused by dissimilar drag forces acting on the two halves of the wing resulting from aileron deflections of same magnitude. R. It can be eliminated by ensuring that the upward deflection of one aileron is greater than the downward deflection of the opposite aileron.

Atmospheric Flight Mechanics

P only (B) Q only (C) Pand R (D) Q and R Q.29 In a turbojet engine, the compressor outlet temperature increases with decreasing efficiency of the compressor. If the turbine inlet temperature remains constant, with decreasing efficiency of the compressor, the thrust specific fuel consumption of the engine

Static Stability & Control

200 N P MUNT 100 Nm 0.5m 100 Nm 0.5m MARR

Dynamic Stability

An aerospace system operating under standard sea level conditions is governed by Dynamic Stability (Short Period & Phugoid Longitudinal Modes). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Space Dynamics & Orbital Mechanics

An aerospace system operating under standard sea level conditions is governed by Space Dynamics & Orbital Mechanics (Kepler's Laws & Two-Body Problem). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Thermodynamic Cycles of Gas Turbines

An aerospace system operating under standard sea level conditions is governed by Thermodynamic Cycles of Gas Turbines (Brayton Cycle with Real Component Efficiencies). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Thermodynamic Cycles of Gas Turbines

An aerospace system operating under standard sea level conditions is governed by Thermodynamic Cycles of Gas Turbines (Turbojet, Turbofan & Turboprop Engine Performance). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Inlets, Combustors & Nozzles

An aerospace system operating under standard sea level conditions is governed by Inlets, Combustors & Nozzles (Subsonic & Supersonic Inlets). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Compressors and Turbines

An aerospace system operating under standard sea level conditions is governed by Compressors and Turbines (Axial Flow Compressor Stage Dynamics & Stall). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Rocket Propulsion

An aerospace system operating under standard sea level conditions is governed by Rocket Propulsion (Tsiolkovsky Rocket Equation & Specific Impulse). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Strength of Materials & Elasticity

An aerospace system operating under standard sea level conditions is governed by Strength of Materials & Elasticity (Stress and Strain Tensors & Generalized Hooke's Law). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Strength of Materials & Elasticity

An aerospace system operating under standard sea level conditions is governed by Strength of Materials & Elasticity (Airframe Structural Analysis & Trusses). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Thin-Walled Structures

An aerospace system operating under standard sea level conditions is governed by Thin-Walled Structures (Shear Flow in Open and Closed Thin-Walled Beams). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Structural Dynamics & Aeroelasticity

An aerospace system operating under standard sea level conditions is governed by Structural Dynamics & Aeroelasticity (Flutter Phenomenon & Divergence Speed). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Aerospace Materials & Fatigue

An aerospace system operating under standard sea level conditions is governed by Aerospace Materials & Fatigue (Fatigue Crack Growth & S-N Curves). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Linear Algebra

In an aerospace engineering analysis of Linear Algebra (Systems of Linear Equations), which one of the following statements is CORRECT regarding the governing aerodynamic and structural behavior?

Calculus

In an aerospace engineering analysis of Calculus (Multiple Integrals & Vector Calculus), which one of the following statements is CORRECT regarding the governing aerodynamic and structural behavior?

Differential Equations

In an aerospace engineering analysis of Differential Equations (Higher Order Linear ODEs with Constant Coefficients), which one of the following statements is CORRECT regarding the governing aerodynamic and structural behavior?

Numerical Methods

In an aerospace engineering analysis of Numerical Methods (Runge-Kutta Methods for ODEs), which one of the following statements is CORRECT regarding the governing aerodynamic and structural behavior?

Airfoil & Wing Theory

In an aerospace engineering analysis of Airfoil & Wing Theory (Thin Airfoil Theory & Camber Effects), which one of the following statements is CORRECT regarding the governing aerodynamic and structural behavior?

Basic Fluid Mechanics

An aerospace system operating under standard sea level conditions is governed by Basic Fluid Mechanics (Viscous Flow & Boundary Layer Equations). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Compressible Flow & Shocks

An aerospace system operating under standard sea level conditions is governed by Compressible Flow & Shocks (Normal & Oblique Shock Waves). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Airfoil & Wing Theory

An aerospace system operating under standard sea level conditions is governed by Airfoil & Wing Theory (Finite Wing Theory & Induced Drag). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Compressible Flow & Shocks

An aerospace system operating under standard sea level conditions is governed by Compressible Flow & Shocks (Rayleigh & Fanno Flow). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Basic Fluid Mechanics

An aerospace system operating under standard sea level conditions is governed by Basic Fluid Mechanics (Incompressible Potential Flow & Stream Functions). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Airfoil & Wing Theory

An aerospace system operating under standard sea level conditions is governed by Airfoil & Wing Theory (High-Lift Devices & Flaps). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Atmospheric Flight Mechanics

An aerospace system operating under standard sea level conditions is governed by Atmospheric Flight Mechanics (Drag Polar & Aircraft Performance Equations). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Atmospheric Flight Mechanics

An aerospace system operating under standard sea level conditions is governed by Atmospheric Flight Mechanics (Range and Endurance of Jet & Propeller Aircraft). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Static Stability & Control

An aerospace system operating under standard sea level conditions is governed by Static Stability & Control (Static Margin & Stick-Fixed/Free Stability). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Dynamic Stability

An aerospace system operating under standard sea level conditions is governed by Dynamic Stability (Dutch Roll, Spiral & Roll Subsidence Modes). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Space Dynamics & Orbital Mechanics

An aerospace system operating under standard sea level conditions is governed by Space Dynamics & Orbital Mechanics (Hohmann Transfer & Orbital Maneuvers). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Space Dynamics & Orbital Mechanics

An aerospace system operating under standard sea level conditions is governed by Space Dynamics & Orbital Mechanics (Rocket Trajectory & Staging). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Thermodynamic Cycles of Gas Turbines

An aerospace system operating under standard sea level conditions is governed by Thermodynamic Cycles of Gas Turbines (Brayton Cycle with Real Component Efficiencies). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Thermodynamic Cycles of Gas Turbines

An aerospace system operating under standard sea level conditions is governed by Thermodynamic Cycles of Gas Turbines (Thrust Equations & Specific Fuel Consumption). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Inlets, Combustors & Nozzles

An aerospace system operating under standard sea level conditions is governed by Inlets, Combustors & Nozzles (Convergent & Convergent-Divergent (C-D) Nozzles). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Compressors and Turbines

An aerospace system operating under standard sea level conditions is governed by Compressors and Turbines (Centrifugal Compressors). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Inlets, Combustors & Nozzles

An aerospace system operating under standard sea level conditions is governed by Inlets, Combustors & Nozzles (Combustor Design & Flame Stabilization). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Rocket Propulsion

An aerospace system operating under standard sea level conditions is governed by Rocket Propulsion (Solid, Liquid & Hybrid Rocket Engines). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Compressors and Turbines

An aerospace system operating under standard sea level conditions is governed by Compressors and Turbines (Axial Flow Gas Turbines & Blade Cooling). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Strength of Materials & Elasticity

An aerospace system operating under standard sea level conditions is governed by Strength of Materials & Elasticity (Euler Buckling of Columns & Energy Methods). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Thin-Walled Structures

An aerospace system operating under standard sea level conditions is governed by Thin-Walled Structures (Torsion of Multi-Cell Thin-Walled Tubes). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Thin-Walled Structures

An aerospace system operating under standard sea level conditions is governed by Thin-Walled Structures (Tension Field Beams & Wagner Beams). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Structural Dynamics & Aeroelasticity

An aerospace system operating under standard sea level conditions is governed by Structural Dynamics & Aeroelasticity (Free & Forced Vibrations of Continuous Beams). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Aerospace Materials & Fatigue

An aerospace system operating under standard sea level conditions is governed by Aerospace Materials & Fatigue (Aluminum, Titanium & Aerospace Alloys). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Aerospace Materials & Fatigue

An aerospace system operating under standard sea level conditions is governed by Aerospace Materials & Fatigue (Damage Tolerance & Non-Destructive Testing). Compute the required parameter in standard SI units (rounded off to the acceptable range).