GATE AE 2015 Question Paper & Solutions

Verbal Aptitude

Choose the appropriate word/phrase, out of the four options given below, to complete the following sentence: Apparent lifelessness

Verbal Aptitude

Choose the statement where underlined word is used correctly.

Quantitative Aptitude

Tanya is older than Eric. Chff is older than Tanya. Eric is older than Cliff. If the first two statements are true, then the third statement is:

Quantitative Aptitude

Five teams have to compete in a league, with every team playing every other team exactly once, before going to the next round. How many matches will have to be held to complete the league round of matches?

Verbal Aptitude

Select the appropriate option in place of underlined part of the sentence. Increased productivity necessary reflects greater efforts made by the employees.

Verbal Aptitude

true, decide which one logically follows. Statements: I. No manager is a leader. Il. All leaders are executives. Conclusions: I. No manager is an executive. Il. No executive is a manager.

Quantitative Aptitude

Right triangle PQR is to be constructed in the xy - plane so that the right angle is at P and line PR is parallel to the x-axis. The x and y coordinates of P, Q. and R are to be integers that satisfy the inequalities: -45 x≤ 5 and 6 ≤ y≤ 16. How many different triangles could be constructed with these properties?

Quantitative Aptitude

A coin is tossed thrice. Let X be the event that head occurs in each of the first two tosses. Let I be the event that a tail occurs on the third toss. Let Z be the event that two tails occur in three tosses. Based on the above information, which one of the following statements is TRUE?

Verbal Aptitude

The system of equations for the variables x and y a x+by=e cx+d y= f has a unique solution only if

Verbal Aptitude

A linear mass-spring-dashpot system is over-damped. In free vibration, this system undergoes

Linear Algebra

Consider the density and altitude at the base of an isothermal layer in the standard atmosphere to be P1 and ha, respectively. The density variation with altitude (p versus h) in that layer is governed by (R: specific gas constant, T: temperature, go: acceleration due to gravity at sea level)

Airfoil & Wing Theory

For constant free stream velocity and density, a change in lift for a large aspect ratio straight wing, with thin cambered airfoil section at small angles of attack, leads to

Dynamic Stability

Which one of the following modes of a stable aircraft has non-oscillatory response characteristics?

Airfoil & Wing Theory

As a candidate for a vertical tail, which one of the following airfoil sections is appropriate?

Numerical Methods

→ P/8 < P/8 - 3P/8 - 3P/8 - P/8 → P/8 → 3P/8 is

Atmospheric Flight Mechanics

The Reynolds number, Re is defined as — where I is the length scale for a flow, U. is its reference velocity and v is the coefficient of kinematic viscosity. In the laminar boundary layer approximation, comparison of the dimensions of the convection term u — and the viscous term 02 leads to the following relation between the boundary layer thickness & and Re :

Rocket Propulsion

A rocket nozzle is designed to produce maximum thrust at an altitude, H = 8 km from the sea level. The nozzle operates 1n

Compressible Flow & Shocks

A planetary probe is launched at a speed of 200 km/s and at a distance of 71,400 km from the mass center of its nearest planet of mass 1.9 × 1028 kg. The universal gravitational constant, C— 667 × 10-11 m3 kg s?. The ensuing path of the probe would be

Compressible Flow & Shocks

- on the suction side and as sin e (1 + cos 0)or -V.. sin 0 on the pressure side, where @ corresponds to the chordwise position, x=≤(1- cost). Then tz-t, is 8лас

Rocket Propulsion

Air enters an aircraft engine at a velocity of 180 m/s with a flow rate of 94 kg/s. The engine combustor requires 9.2 kg/s of air to burn 1 kg/s of fuel. The velocity of gas exiting from the engine is 640 m/s. The momentum thrust (in N) developed by the engine is

Linear Algebra

If all the eigenvalues of a matrix are real and equal, then

Differential Equations

The value of the integral f(4x" + 3x' + 2x + 1)dx evaluated numerically using Simpson's rule with one step is

Static Stability & Control

Determine the correctness or otherwise of the following assertion [a] and reason [r]: Assertion [a]: Aircraft directional static stability can be improved by moving the vertical tail rearward. Reason [r]: Moving the vertical tail rearward increases the moment arm from the tail aerodynamic center to the aircraft center of gravity.

Dynamic Stability

An aircraft is flying with inertial ground and wind speeds of = (100, 5, 5) m/s and w = (0, -5, -10) m/s, respectively, as expressed in the body frame. The corresponding sideslip angle (in degrees) is

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).

Rocket Propulsion

In an aerospace engineering analysis of Thermodynamic Cycles of Gas Turbines (Brayton Cycle with Real Component Efficiencies), which one of the following statements is CORRECT regarding the governing aerodynamic and structural behavior?

Rocket Propulsion

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).

Rocket Propulsion

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).

Rocket Propulsion

In an aerospace engineering analysis of Compressors and Turbines (Axial Flow Compressor Stage Dynamics & Stall), which one of the following statements is CORRECT regarding the governing aerodynamic and structural behavior?

Rocket Propulsion

In an aerospace engineering analysis of Rocket Propulsion (Tsiolkovsky Rocket Equation & Specific Impulse), which one of the following statements is CORRECT regarding the governing aerodynamic and structural behavior?

Thin-Walled Structures

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

In an aerospace engineering analysis of Thin-Walled Structures (Shear Flow in Open and Closed Thin-Walled Beams), which one of the following statements is CORRECT regarding the governing aerodynamic and structural behavior?

Structural Dynamics & Aeroelasticity

In an aerospace engineering analysis of Structural Dynamics & Aeroelasticity (Flutter Phenomenon & Divergence Speed), which one of the following statements is CORRECT regarding the governing aerodynamic and structural behavior?

Aerospace Materials & Fatigue

In an aerospace engineering analysis of Aerospace Materials & Fatigue (Fatigue Crack Growth & S-N Curves), which one of the following statements is CORRECT regarding the governing aerodynamic and structural behavior?

Linear Algebra

An aerospace system operating under standard sea level conditions is governed by Linear Algebra (Systems of Linear Equations). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Differential Equations

An aerospace system operating under standard sea level conditions is governed by Calculus (Multiple Integrals & Vector Calculus). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Basic Fluid Mechanics

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?

Differential Equations

An aerospace system operating under standard sea level conditions is governed by Numerical Methods (Runge-Kutta Methods for ODEs). 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 (Thin Airfoil Theory & Camber Effects). 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 (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

In an aerospace engineering analysis of Basic Fluid Mechanics (Incompressible Potential Flow & Stream Functions), which one of the following statements is CORRECT regarding the governing aerodynamic and structural behavior?

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

In an aerospace engineering analysis of Atmospheric Flight Mechanics (Drag Polar & Aircraft Performance Equations), which one of the following statements is CORRECT regarding the governing aerodynamic and structural behavior?

Atmospheric Flight Mechanics

In an aerospace engineering analysis of Atmospheric Flight Mechanics (Range and Endurance of Jet & Propeller Aircraft), which one of the following statements is CORRECT regarding the governing aerodynamic and structural behavior?

Static Stability & Control

In an aerospace engineering analysis of Static Stability & Control (Static Margin & Stick-Fixed/Free Stability), which one of the following statements is CORRECT regarding the governing aerodynamic and structural behavior?

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

In an aerospace engineering analysis of Space Dynamics & Orbital Mechanics (Rocket Trajectory & Staging), which one of the following statements is CORRECT regarding the governing aerodynamic and structural behavior?

Rocket Propulsion

In an aerospace engineering analysis of Thermodynamic Cycles of Gas Turbines (Brayton Cycle with Real Component Efficiencies), which one of the following statements is CORRECT regarding the governing aerodynamic and structural behavior?

Rocket Propulsion

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).

Rocket Propulsion

In an aerospace engineering analysis of Inlets, Combustors & Nozzles (Convergent & Convergent-Divergent (C-D) Nozzles), which one of the following statements is CORRECT regarding the governing aerodynamic and structural behavior?

Rocket Propulsion

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).

Rocket Propulsion

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).

Rocket Propulsion

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).

Thin-Walled Structures

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

In an aerospace engineering analysis of Thin-Walled Structures (Torsion of Multi-Cell Thin-Walled Tubes), which one of the following statements is CORRECT regarding the governing aerodynamic and structural behavior?

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).

Thin-Walled Structures

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).