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This mock test of Aeronautical Engineering - (AE) 2018 GATE Paper (Practice Test) for GATE helps you for every GATE entrance exam.
This contains 64 Multiple Choice Questions for GATE Aeronautical Engineering - (AE) 2018 GATE Paper (Practice Test) (mcq) to study with solutions a complete question bank.
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QUESTION: 1

“The dress _________ her so well that they all immediately _________ her on her appearance.”

The words that best fill the blanks in the above sentence are

Solution:

QUESTION: 2

“The judge’s standing in the legal community, though shaken by false allegations of wrongdoing, remained _________.”

The word that best fills the blank in the above sentence is

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QUESTION: 3

Find the missing group of letters in the following series: BC, FGH, LMNO, _____

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QUESTION: 4

The perimeters of a circle, a square and an equilateral triangle are equal. Which one of the following statements is true?

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QUESTION: 5

The value of the expression is _________.

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QUESTION: 6

Forty students watched films A, B and C over a week. Each student watched either only one film or all three. Thirteen students watched film A, sixteen students watched film B and nineteen students watched film C. How many students watched all three films?

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QUESTION: 7

A wire would enclose an area of 1936 m2, if it is bent into a square. The wire is cut into two pieces. The longer piece is thrice as long as the shorter piece. The long and the short pieces are bent into a square and a circle, respectively. Which of the following choices is closest to the sum of the areas enclosed by the two pieces in square meters?

Solution:

*Multiple options can be correct

QUESTION: 8

A contract is to be completed in 52 days and 125 identical robots were employed, each operational for 7 hours a day. After 39 days, five-seventh of the work was completed. How many additional robots would be required to complete the work on time, if each robot is now operational for 8 hours a day?

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QUESTION: 9

A house has a number which needs to be identified. The following three statements are given that can help in identifying the house number.

i. If the house number is a multiple of 3, then it is a number from 50 to 59.

ii. If the house number is NOT a multiple of 4, then it is a number from 60 to 69.

iii. If the house number is NOT a multiple of 6, then it is a number from 70 to 79.

**Q. **What is the house number?

Solution:

QUESTION: 10

An unbiased coin is tossed six times in a row and four different such trials are conducted. One trial implies six tosses of the coin. If H stands for head and T stands for tail, the following are the observations from the four trials:

(1) HTHTHT

(2) TTHHHT

(3) HTTHHT

(4) HHHT__ __.

**Q. **Which statement describing the last two coin tosses of the fourth trial has the highest probability of being correct?

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QUESTION: 11

Let be two distinct vectors that are not parallel. The vector is

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QUESTION: 12

Consider the function All the roots of this function

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QUESTION: 13

Consider a vector field given by . This vector field is

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QUESTION: 14

A jet aircraft is initially flying steady and level at its maximum endurance condition. For the aircraft to fly steady and level, but faster at the same altitude, the pilot should

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QUESTION: 15

The pilot of a conventional airplane that is flying steady and level at some altitude, deflects the port side aileron up and the starboard aileron down. The aircraft will then

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QUESTION: 16

A NACA 0012 airfoil has a trailing edge flap. The airfoil is operating at an angle of attack of 5 degrees with un-deflected flap. If the flap is now deflected by 5 degrees downwards, the ��_{��} versus �� curve

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QUESTION: 17

An airplane requires a longer ground roll to lift-off on hot summer days because

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QUESTION: 18

The velocity profile in an incompressible, laminar boundary layer is shown in the figure below. U is the free-stream velocity, u(y) is the stream-wise velocity component. The area of the black shaded region in the figure below represents the

Solution:

QUESTION: 19

The tangential velocity component ‘V’ of a spacecraft, which is in a circular orbit of radius ‘R’ around a spherical Earth (µ = GM → gravitational parameter of Earth) is given by the following expression.

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QUESTION: 20

Equation of the trajectory of a typical space object around any planet, in polar coordinates (r, θ ) (i.e. a general conic section geometry), is given as follows. (h is angular momentum, µ is gravitational parameter, e is eccentricity, r is radial distance from the planet center, θ , is angle between vectors

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QUESTION: 21

In an elliptic orbit around any planet, the location at which a spacecraft has the maximum angular velocity is

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QUESTION: 22

The pitching moment of a positively cambered NACA airfoil about its leading edge at zerolift angle of attack is

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QUESTION: 23

In a low-speed wind tunnel, the angular location(s) from the front stagnation point on a circular cylinder where the static pressure equals the free-stream static pressure, is

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QUESTION: 24

A thermocouple, mounted flush in an insulated flat surface in a supersonic laminar flow of air measures the

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QUESTION: 25

A shock wave is moving into still air in a shock tube. Which one of the following happens to the air?

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QUESTION: 26

The highest limit load factor experienced by a civil transport aircraft is in the range

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QUESTION: 27

Determine the correctness or otherwise of the following statements, [a] and [r]:

[a] A closed-section box beam configuration is used in aircraft wings.

[r] Closed-section box beam configuration is capable of resisting torsional loads.

Solution:

QUESTION: 28

The first law of thermodynamics is also known as conservation of

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QUESTION: 29

In an ideal gas turbine cycle, the expansion in a turbine is represented by

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QUESTION: 30

The determinant of the matrix is ______ (accurate to one decimal place).

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QUESTION: 31

The theoretical maximum velocity (in m/s) of air expanding from a reservoir at 700 K is __________ (accurate to two decimal places). Specific heat of air at constant pressure is 1005 J/(kg-K)

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QUESTION: 32

For a damped single degree of freedom system with damping ratio of 0.1, ratio of two successive peak amplitudes of free vibration is ___________ (accurate to two decimal places)

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QUESTION: 33

The natural frequency (in rad/s) of the spring-mass system shown in the figure below is _____ (accurate to one decimal place).

Solution:

QUESTION: 34

The stagnation pressures at the inlet and exit of a subsonic intake are 100 kPa and 98 kPa, respectively. The pressure recovery of this intake will be ______ (accurate to two decimal places).

Solution:

The stagnation pressures at the inlet and exit of a subsonic intake are 100 kPa and 98 kPa, respectively. The pressure recovery of this intake will be ** 0.98** (accurate to two decimal places).

QUESTION: 35

A combustor is operating with a fuel-air ratio of 0.03. If the stoichiometric fuel-air ratio of the fuel used is 0.06, the equivalence ratio of the combustor will be _______ (accurate to two decimal places).

Solution:

QUESTION: 36

The relation between pressure (p) and velocity (V) for a steady, isentropic flow at two points along a streamline is, (c is a constant)

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QUESTION: 37

A thin airfoil is mounted in a low-speed, subsonic wind tunnel, in which the Mach number is 0.1. At a point on the airfoil, the pressure coefficient is measured to be -1.2. If the flow velocity is increased such that the free-stream Mach number is 0.6, the pressure coefficient at the same point on the airfoil will approximately be:

Solution:

QUESTION: 38

A solid circular shaft of diameter d is under pure torsion of magnitude T. The maximum tensile stress experienced at any point on the shaft is

Solution:

QUESTION: 39

A clamped-clamped beam, subjected to a point load P at the midspan, is shown in the figure below. The magnitude of the moment reaction at the two fixed ends of the beam is

Solution:

QUESTION: 40

Which of the following statement(s) is/are true about the state of a body in plane strain condition?

P: All the points in the body undergo displacements in one plane only, for example the x-y plane, leading to ��_{���� }= ��_{����} = ��_{����} = 0.

Q: All the components of stress perpendicular to the plane of deformation, for example the x-y plane, of the body are equal to zero, i.e. ��_{����} = ��_{����} = ��_{����} = 0.

R: Except the normal component, all the other components of stress perpendicular to the plane of deformation of the body, for example the x-y plane, are equal to zero, i.e. ��_{����} ≠ 0, ��_{���� }= ��_{����} = 0.

Solution:

QUESTION: 41

An aircraft with a turbojet engine flies at a velocity of 100 m/s. If the jet exhaust velocity is 300 m/s, the propulsive efficiency of the engine, assuming a negligible fuel-air ratio, is

Solution:

QUESTION: 42

An aircraft with a turboprop engine produces a thrust of 500 N and flies at 100 m/s. If the propeller efficiency is 0.5, the shaft power produced by the engine is

Solution:

QUESTION: 43

An axial compressor that generates a stagnation pressure ratio of 4.0, operates with inlet and exit stagnation temperatures of 300 K and 480 K, respectively. If the ratio of specific heats (��) is 1.4, the isentropic efficiency of the compressor is

Solution:

QUESTION: 44

A rocket has an initial mass of 150 kg. After operating for a duration of 10 s, its final mass is 50 kg. If the acceleration due to gravity is 9.81 m/s2 and the thrust produced by the rocket is 19.62 kN, the specific impulse of the rocket is

Solution:

QUESTION: 45

Consider the vector field where . The contour integral

is tangent to the contour that encloses the origin, is __________ (accurate to two decimal places).

Solution:

QUESTION: 46

The magnitude of the x-component of a unit vector at the point (1, 1) that is normal to equipotential lines of the potential function is _______ (accurate to two decimal places).

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QUESTION: 47

Assuming ISA standard sea level conditions (288.16 K, density of 1.225 kg/m^{3}, g = 9.81 m/s^{2}, R = 287 J/(kg-K)), the density (in kg/m^{3}) of air at Leh, which is at an altitude of 3500 m above mean sea level is ________ (accurate to two decimal places).

Solution:

QUESTION: 48

Consider a cubical tank of side 2 m with its top open. It is filled with water up to a height of 1 m. Assuming the density of water to be 1000 kg/m3, g as 9.81 m/s2 and the atmospheric pressure to be 100 kPa, the net hydrostatic force (in kN) on the side face of the tank due to the air and water is ______ (accurate to two decimal places).

Solution:

QUESTION: 49

An aircraft with mass of 400,000 kg cruises at 240 m/s at an altitude of 10 km. Its lift to drag ratio at cruise is 15. Assuming g as 9.81 m/s^{2}, the power (in MW) needed for it to cruise is _______ (accurate to two decimal places).

Solution:

QUESTION: 50

A statically-stable aircraft has a ������= 5 (where the angle of attack, α, is measured in radians). The coefficient of moment of the aircraft about the center of gravity is given as ����,��.�� = 0.05 − 4��. The mean aerodynamic chord of the aircraft wing is 1 m. The location (positive towards the nose) of the neutral point of the aircraft from the center of gravity is ______ (in m, accurate to two decimal places).

Solution:

QUESTION: 51

An aircraft with a gross weight of 2000 kg, has a speed of 130 m/s at sea level, where the conditions are: 1 atmosphere (pressure), 288 K (temperature), and 1.23 kg/m^{3} (density). The speed (in m/s) required by the aircraft at an altitude of 9000 m, where the conditions are: 0.31 atmosphere, 230 K, and 0.47 kg/m^{3}, to maintain a steady, level flight is ________ (accurate to two decimal places).

Solution:

QUESTION: 52

A pitot probe on an aircraft in a steady, level flight records a pressure of 55,000 N/m^{2}. The static pressure and density are 45,280 N/m2 and 0.6 kg/m^{3}, respectively. The wing area and the lift coefficient are 16 m^{2} and 2, respectively. The wing loading (in N/m^{2}) on this aircraft is _________ (accurate to one decimal place).

Solution:

QUESTION: 53

A spacecraft forms a circular orbit at an altitude of 150 km above the surface of a spherical Earth. Assuming the gravitational parameter, µ = 3.986 × 10^{14} m^{3}/s^{2} and radius of earth, RE = 6,400 km, the velocity required for the injection of the spacecraft, parallel to the local horizon, is _______________ (accurate to two decimal places).

Solution:

QUESTION: 54

Air at 50 kPa pressure and 400 K temperature flows in a duct at Mach 3.0. A part of the flow leaks through an opening on the duct wall into the ambient, where the pressure is 30 kPa. The maximum Mach number achieved in the discharge is _______ (accurate to two decimal places). (Ratio of specific heats of air is �� = 1.4)

Solution:

QUESTION: 55

Consider a 20^{0} half-angle wedge in a supersonic flow at Mach 3.0 at standard sea-level conditions. If the shock-wave angle on the wedge is 36^{0}, the Mach number of the tangential component of the flow post-shock is _______ (accurate to two decimal places).

Solution:

QUESTION: 56

The boundary layer thickness at the location of a sensor on a flat plate in an incompressible, laminar flow of air is required to be restricted to 1 mm for an effective measurement. If the flow velocity is 20 m/s with 1 bar pressure, 300 K temperature, and 1.789×10^{˗5} kg/(m-s) viscosity, the maximum distance (in mm) of the sensor location from the leading edge is ________ (accurate to one decimal place).

Solution:

QUESTION: 57

Gross weight of an airplane is 7000 N, wing area is 16 m^{2}, and the maximum lift coefficient is 2.0. Assuming density at the altitude as 1.23 kg/m^{3}, the stall speed (in m/s) of the aircraft is _________ (accurate to two decimal places).

Solution:

QUESTION: 58

A thin-walled tube with external radius of 100 mm and wall thickness of 2 mm, is fixed at one end. It is subjected to a compressive force of 1 N acting at a point on the circumference parallel to its length. The maximum normal stress (in kPa) experienced by the structure is _____________ (accurate to two decimal places).

Solution:

QUESTION: 59

A 1 m long massless cantilever beam oscillates at 2Hz, while a 60 kg mass is attached at the tip of it. The flexural rigidity of the beam (in kN-m^{2}) is _________________ (accurate to two decimal places).

Solution:

QUESTION: 60

A cantilever beam having a rectangular cross-section of width 60 mm and depth 100 mm, is made of aluminum alloy. The material mechanical properties are: Young’s modulus, E = 73 GPa and ultimate stress, = 480 MPa. Assuming a factor of safety of 4, the maximum bending moment (in kN-m) that can be applied on the beam is _____ (accurate to one decimal place).

Solution:

QUESTION: 61

The components of stress in a body under plane stress condition, in the absence of body forces, is given by: ��_{���� }= ����^{2}; ��_{����} = 12��^{2} − 6��^{2} and ��_{����} = 12����.

The coefficient, A, such that the body is under equilibrium is _____ (accurate to one decimal place)

Solution:

QUESTION: 62

An axial compressor rotor with 50 % degree of reaction, operates with an axial velocity of 200 m/s. The absolute flow angle at the inlet of the rotor is 22^{o} with reference to the axial direction. If the axial velocity is assumed to remain constant through the rotor, the magnitude of the relative velocity (in m/s) at the rotor exit is __________ (accurate to one decimal place).

Solution:

QUESTION: 63

The relative velocity of air leaving a straight radial impeller of a centrifugal compressor is 100 m/s. If the impeller tip speed is 200 m/s, for a slip free operation, the absolute velocity (in m/s) at the impeller exit is _________ (accurate to one decimal place).

Solution:

QUESTION: 64

An aircraft wind tunnel model, having a pitch axis mass moment of inertia (I_{yy}) of 0.014 kg-m^{2}, is mounted in such a manner that it has pure pitching motion about its centre of gravity, where it is supported through a frictionless hinge. If the pitching moment (M) derivative with respect to angle of attack (α), denoted by ‘M_{α}’, is -0.504 N-m/rad and the pitching moment (M) derivative with respect to pitch rate (q), denoted by ‘M_{q}’, is -0.0336 N-m/(rad/s), the damping ratio of the resulting motion due to an initial disturbance in pitch angle is approximately _________ (accurate to three decimal places)

Solution:

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