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GATE (Graduate Aptitude Test in Engineering) Aerospace Engineering is an online examination conducted to get admission in M-Tech (Masters in Technology), ME (Master of Engineering ) and PhD at IITs (Indian Institutes of Technology), NITs (National Institutes of Technology), IIITs (Indian Institutes of Information Technology) and other universities in India. GATE exam is jointly conducted by IIT Bombay, IIT Delhi, IIT Guwahati, IIT Kanpur, IIT Kharagpur, IIT Madras, IIT Roorkee, and Indian Institute for Science, Bangalore (IISC Bangalore). The exam is divided into two different parts General Aptitude (GA) and Candidate’s Selected Subject (Core Subjects). GATE Aerospace Engineering online mock tests help candidates in preparing for the GATE exam. By attempting GATE online mock tests candidates get familiar with the pattern of the actual question paper. BrPaper provides all GATE question papers completely free. Here you can practice free online mock tests of complete exam of GATE Aerospace Engineering. We advise candidates to solve the online GATE Aerospace Engineering mock tests to get good marks in the exam. Start practicing AerospaceGATE 2020 Mock tests here online for free

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Category: GATE Aerospace Engineering 2020 General Aptitude

Question 1:

The untimely loss of life is a cause of serious global concern as thousands of people killed____________ accidents every year while many other die___________ diseases like cardio vascular disease, cancer, etc.

in, of

from, of

during, from

from, from

Category: GATE Aerospace Engineering 2020 General Aptitude

Question 2:

He was not only accused of theft __________ of conspiracy.

rather

but also

but even

rather than

Category: GATE Aerospace Engineering 2020 General Aptitude

Question 3:

Select the word that fits the analogy: Explicit: Implicit: :Express: ___________

Impress

Repress

Compress

Suppress

Category: GATE Aerospace Engineering 2020 General Aptitude

Question 4:

The Canadian constitution requires that equal importance be given to English and French. Last year, Air Canada lost a lawsuit and had to pay a six-figure fine to a French-speaking couple after they filed complaints about formal in-flight announcements in English lasting 15 seconds, as opposed to informal 5-second messages in French. The French-speaking couple were upset at ___________.

the in-flight announcements being made in English.

the English announcements being clearer than the French ones.

the English announcements being longer than the French ones.

equal importance being given to English and French.

Category: GATE Aerospace Engineering 2020 General Aptitude

Question 5:

A superadditive function f(.) satisfies the following property

f (x_{1} + x_{2}) \geq f (x_{1}) + f (x_{2})

Which of the following functions is a superadditive function for

x > 1

A	$e^{x}$	B	$\sqrt{x}$
C	$\frac{1}{x}$	D	$e^{- x}$

Category: GATE Aerospace Engineering 2020 General Aptitude

Question 6:

The global financial crisis in 2008 is considered to be the most serious world-wide financial crisis, which started with the sub-prime lending crisis in the USA in 2007. The subprime lending crisis led to the banking crisis in 2008 with the collapse of Lehman Brothers in 2008. Subprime lending refers to the provision of land to those borrowers who may difficulties in repaying loans, and it arises because of excess liquidity following the East Asian Crisis. Which one of the following sequences shows the correct precedence as per the given passage?

A	$Easr Asian crisi \to subprime lending crisis \to banking crisis \to global financial crisis,$
B	$subprime lending crisis \to global financial crisis, \to banking crisis \to Easr Asian crisi$
C	$banking crisis \to subprime lending crisis \to global financial crisis, \to Easr Asian crisi$
D	$global financial crisis, \to Easr Asian crisi \to banking crisis \to subprime lending crisis$

Category: GATE Aerospace Engineering 2020 General Aptitude

Question 7:

It is quarter past three on your watch. The angle between the hour hand and the minute hand is __________.

A	$0 °$	B	$7.5 °$
C	$15 °$	D	$22.5 °$

Category: GATE Aerospace Engineering 2020 General Aptitude

Question 8:

A circle with center O is shown in the figure. A rectangle PQRS of the maximum possible area is inscribed in the circle. If the radius of the circle is a, then the area of the shaded portion is__________.

A	undefined	B	undefined
C	undefined	D	undefined

Category: GATE Aerospace Engineering 2020 General Aptitude

Question 9:

a, b, c are real numbers. The quadratic equation

{ax}^{2} - bx + c = 0

has equal roots, which is

β,

then

A	$β = b / a$	B	$β^{2} = ac$
C	$β^{3} = bc / (2 a^{2})$	D	$b^{2} \neq 4 ac$

Category: GATE Aerospace Engineering 2020 General Aptitude

Question 10:

The following figure shows the data of students enrolled in 5 years (2014 to 2018) for two schools P and Q. During this period, the ratio of the average number of the number enrolled in school P to the average of the difference of the number of students enrolled in schools P and Q is_______.

8: 23

23: 8

23:31

31: 23

Category: GATE Aerospace Engineering 2020

Question 11:

For

f (x) = |x|, with \frac{df}{dx}

denoting the derivative, the mean value theorem is not applicable because

A	F(x) is not continuous at x = 0	B	f(x) = 0 at x = 0
C	$\frac{df}{dx}$ is not defined at x = 0	D	$\frac{df}{dx}$ = 0 at x = 0

Category: GATE Aerospace Engineering 2020

Question 12:

For the function

f (x) = \frac{e^{- λ}}{σ \sqrt{2 π}}, where λ = \frac{1}{2 σ^{2}} {(x - μ)}^{2}, and σ and μ

are constants, the maximum occurs at

A	$x = σ$	B	$x = σ \sqrt{2 π}$
C	$x = 2 σ^{2}$	D	$x = μ$

Category: GATE Aerospace Engineering 2020

Question 13:

y = {Ae}^{m x} + {Be}^{- mx}

, where A, B, and m are constants, is a solution of

A	$\frac{d^{2} y}{{dx}^{2}} - m^{2} y = 0$	B	$A \frac{d^{2} y}{{dx}^{2}} + m^{2} y = 0$
C	$B \frac{d^{2} y}{{dx}^{2}} - Ay = 0$	D	$\frac{d^{2} y}{{dx}^{2}} + my = m^{2}$

Category: GATE Aerospace Engineering 2020

Question 14:

Which of the following statements is true about the effect of an increase in temperature on the dynamic viscosity of water and air, at room temperature?

It increases for both water and air

It increases for water and decreases for air

It decreases for water and increases for air

It decreases for both water and air

Category: GATE Aerospace Engineering 2020

Question 15:

Given access to the complete geometry, surface pressure, and shear stress distribution over a body placed in a uniform flow, one can estimate

the moment coefficient, and the force on the body.

the force coefficient, and the force on the body.

the moment coefficient, and the moment on the body.

the force and the moment on the body.

Category: GATE Aerospace Engineering 2020

Question 16:

A pair of infinitely long, counter-rotating line vortices of the same circulation strength T are situated a distance h apart in a fluid, as shown in the figure. The vortices will

A	rotate counter-clockwise about the midpoint with the tangential velocity at the line vertex equal to undefined
B	rotate counter-clockwise about the midpoint with the tangential velocity at the line vertex equal to undefined
D	translate along + y-direction with the velocity at the line vortex equal to undefined
C	translate along + y-direction with the velocity at the line vortex equal to undefined

Category: GATE Aerospace Engineering 2020

Question 17:

The streamlines of a steady two-dimensional flow through a channel of height 0.2 m are plotted in the figure, where is the stream function is undefined The volumetric flow rate per unit depth is

A	10 undefined	B	2.0 undefined
C	0.5 undefined	D	0.1 undefined

Category: GATE Aerospace Engineering 2020

Question 18:

Which of the following options can result in an increase in the Mach number of a supersonic flow in a duct?

Increasing the length of the duct

Adding heat to the flow

Removing heat from flow

Inserting a convergent-divergent section with the same cross-sectional area at its inlet and exit planes

Category: GATE Aerospace Engineering 2020

Question 19:

Which one of the following conditions needs to be satisfied for

ϕ = {Ax}^{4} + {By}^{4} + {Cxy}^{3}

to be considered as an Airy's stress function?

A	$A - B = 0$	B	$A + B = 0$
C	$A - C = 0$	D	$A + C = 0$

Category: GATE Aerospace Engineering 2020

Question 20:

Consider the plane strain field given by

ε_{xx} = A^{2} y + x, ε_{yy} = {Ax}^{2} + y, γ_{xy} = B x y + y .

The relation A and B needed for this strain field to satisfy the compatibility condition is

B = A

B = 2A

B = 3A

B = 4A

Category: GATE Aerospace Engineering 2020

Question 21:

For the hyperbolic trajectory of a satellite of mass m having a velocity of V at a distance r from the center of the earth (G: gravitational constant, M: mass of earth), which one of the following relations is true?

A	$\frac{1}{2} {mV}^{2} > \frac{GMm}{r}$	B	$\frac{1}{2} {mV}^{2} < \frac{GMm}{r}$
C	$\frac{1}{2} {mV}^{2} = \frac{GMm}{r}$	D	$\frac{1}{2} {mV}^{2} < \frac{2 GMm}{r}$

Category: GATE Aerospace Engineering 2020

Question 22:

For conventional airplanes, which one of the following is true regarding roll control derivative

(C_{1 δ} = \frac{\partial C_{1}}{\partial δ_{r}})

and yaw control derivative

(C_{{nδ}_{r}} = \frac{\partial C_{n}}{\partial δ_{r}}),

where

δ_{r}

is rudder deflection?

A	$C_{1 δ_{r}} > 0 and C_{{nδ}_{r}} < 0$	B	$C_{1 δ_{r}} < 0 and C_{{nδ}_{r}} > 0$
C	$C_{1 δ_{r}} < 0 and C_{{nδ}_{r}} < 0$	D	$C_{1 δ_{r}} > 0 and C_{{nδ}_{r}} > 0$

Category: GATE Aerospace Engineering 2020

Question 23:

The ratio of exit stagnation pressure to inlet stagnation pressure across the rotating impeller of a centrifugal compressor, operating with a closed exit, is

A	0	B	1
C	$> 1$	D	0.5

Category: GATE Aerospace Engineering 2020

Question 24:

Which one of the following is a hypergolic propellant combination used in rocket engines?

Liquid hydrogen-liquid oxygen

Usymmetrical dimethyl hydrazine- nitrogen tetroxide

Rocket fuel RP-1-liquid oxygen

Liquid hydrogen fluorine

Category: GATE Aerospace Engineering 2020

Question 25:

In aircraft engine, thermodynamic cycle analysis, perfectly expanded flow in the nozzle means that the static pressure in the flow at the nozzle exit is equal to

the stagnation pressure at the engine inlet.

the stagnation pressure at the nozzle exit.

the ambient pressure at the nozzle exit.

the static pressure at the nozzle exit.

Category: GATE Aerospace Engineering 2020

Question 26:

Three long slender aluminum bars of identical length are subject to an axial tensile force. These bars have circular, triangular cross-sections, with the same sectional area. If they yield at

F_{circle}, F_{triangle} and F_{rectangle,}

respectively, which one of the following is true?

A	$F_{circle} < F_{triangle} < F_{rectangle,}$	B	$F_{triangle} > F_{circle} > F_{rectangle,}$
C	$F_{triangle} > F_{circle} > F_{rectangle,}$	D	$F_{circle} = F_{triangle} = F_{rectangle,}$

Category: GATE Aerospace Engineering 2020

Question 27:

The positive high angle -of attack condition is obtained in a steady pull-out maneuver at the largest permissible angle of attack-of-attack of the wing. Under this condition, at which of the following regions of the wing does the maximum tension occur?

III

Category: GATE Aerospace Engineering 2020

Question 28:

The natural frequency of the first model of a rectangular cross-section cantilever aluminum beam is

A	$\frac{ω}{4} rad / s$	B	$4 ω rad / s$
C	$\frac{ω}{16} rad / s$	D	$16 ω rad / s$

Category: GATE Aerospace Engineering 2020

Question 29:

Given

A = (\begin{matrix} sinθ & tanθ \\ 0 & cosθ \end{matrix}),

the sum of squares of eigenvalues of A is

A	$\tan^{2} θ$	B	1
C	$\sin^{2} θ$	D	$\cos^{2} θ$

Category: GATE Aerospace Engineering 2020

Question 30:

The burnout velocity of a space vehicle in a circular orbit at an angle 5 degrees above the local horizon around the earth is

13.5 km / s .

Tangential velocity of the space vehicle in the orbit is_____________ km/m (round off to decimal places).

13.40 to 13.47

13.42 to 13.47

13.44 to 13.47

13.46 to 13.47

Category: GATE Aerospace Engineering 2020

Question 31:

The velocity of an airplane in the body-fixed axes is given as [100-10 20] m/s. The sideslip angle is ________ degrees (round off to two places).

-5.66 to -5.57

-5.64 to -5.57

-5.62 to -5.57

-5.60 to -5.57

Category: GATE Aerospace Engineering 2020

Question 32:

The similarity solution for the diffusion equation,

\frac{\partial u}{\partial t} = α \frac{\partial^{2} u}{\partial x^{2}}

is u(x, t) = u(n), where similarity variable,

n = \frac{x}{\sqrt{αt}} .

(x, 0) = e^{- x^{2}},

the ratio

\frac{u (0, 1)}{u (0, 4)} =_______

(round off to one decimal place).

1.1 to 1.3

1.3 to 1.5

1.5 to 1.7

1.9 to 2.1

Category: GATE Aerospace Engineering 2020

Question 33:

Air enters the rotor of an axial compressor stage with no pre-whirl

(C_{θ} - 0)

and exits the rotor with velocity,

C_{θ} = 150 m / s .

The velocity of rotor vanes, U is 200 m/s. Assuming

C_{p} = 1005 J / (kg K)

, the stagnation temperature rise across the rotor is ____________ K (round off of one decimal place).

29.2 to 30.0

29.4 to 30.0

29.6 to 30.0

29.8 to 30.0

Category: GATE Aerospace Engineering 2020

Question 34:

A thin-walled beam of constant thickness shown in the figure is subjected to a torque of undefined If the shear modulus is 25 GPa, the angle of twist per unit length is _______________ rad/m (round off of three decimal places).

0.009 to 0.011

0.011 to 0.013

0.013 to 0.015

0.015 to 0.017

Category: GATE Aerospace Engineering 2020

Question 35:

An airplane of mass 5000 kg is flying at a constant speed of 360 km/h at the bottom of a vertical circle with a radius of 400 m, as shown in the figure. Assuming that the acceleration due to gravity is undefined the load factor experienced at the center of gravity of the airplane is_____________(round off to two decimal places).

3.30 to 3.40

3.40 to 3.50

3.50 to 3.60

3.60 to 3.70

Category: GATE Aerospace Engineering 2020

Question 36:

The equation

x \frac{dx}{dy} + y = c,

where c is a constant, represents a family of

exponential curves

parabolas

circles

hyperbolas

Category: GATE Aerospace Engineering 2020

Question 37:

A wedge-shaped airfoil is placed in a supersonic flow as shown in the figure (not to scale). The corners of the wedge are at undefined respectively.

Which one of the following represents the correct static pressure profiles along undefined

A		B
C		D

Category: GATE Aerospace Engineering 2020

Question 38:

The value of Poisson's ratio at which the tropic material is equal to the bulk modulus ear modulus of an is equal to the bulk modulus is

A	$\frac{1}{2}$	B	$\frac{1}{4}$
C	$\frac{1}{6}$	D	$\frac{1}{8}$

Category: GATE Aerospace Engineering 2020

Question 39:

A load is applied to the free end of a stepped cantilever beam as shown in the figure. The Young's modulus of the material is E and the moments of the two sections of length 2 m and 1 m are I and 3I, respectively. Ignoring transverse shear and stress concentration effects, the deflection at the point where the load is applied at the point where the load is applied at the free end of the cantilever is

A	undefined	B	undefined
C	undefined	D	undefined

Category: GATE Aerospace Engineering 2020

Question 40:

The three-dimensional strain-stress relations for an isotropic material, written in a general matrix form, is

\{\begin{matrix} ε_{xx} \\ ε_{yy} \\ ε_{zz} \\ γ_{yz} \\ γ_{xz} \\ γ_{xy} \end{matrix}\} = [\begin{matrix} A & C & C & 0 & 0 & 0 \\ C & A & C & 0 & 0 & 0 \\ C & C & A & 0 & 0 & 0 \\ 0 & 0 & 0 & B & 0 & 0 \\ 0 & 0 & 0 & 0 & B & 0 \\ 0 & 0 & 0 & 0 & 0 & B \end{matrix}] \{\begin{matrix} σ_{xx} \\ σ_{yy} \\ σ_{zz} \\ σ_{yz} \\ σ_{xz} \\ σ_{xy} \end{matrix}\}

A B and C are compliance which depends on the elastic properties of the material. Which one of the following is correct?

A	$C = \frac{A}{2} - B$	B	$C = \frac{A}{2} + B$
C	$C = A + \frac{B}{2}$	D	$C = A - \frac{B}{2}$

Category: GATE Aerospace Engineering 2020

Question 41:

For three different A, B, and C, the yawing moment coefficient

(C_{n})

was measured in a wind tunnel for three settings of sideslip angle

β

and tabulated as

	Airplane A	Airplane B	Airplane C
$β = - 5 \deg$	-0.030	-0.025	0.040
$β = 0 \deg$	0	0	0
$β = 5 \deg$	0.030	0.025	-0.040

Which one of the following statements is true regarding directional static stability of airplanes A, B, and C?

All three airplanes A, B and C are stable.

Only airplane C is stable, while both A and B are unstable.

Airplane C is unstable, A and B are stable with A being more stable than B,

Airplane C is unstable, A and B are both stable with less than B.

Category: GATE Aerospace Engineering 2020

Question 42:

A closed curve is expressed in parametric form as

x = α cosθ and y = b sinθ,

where

α = 7 m and b = 5 m

. Approximating

π = \frac{22}{7}

, which of the following is the area enclosed by the curve?

A	110 $m^{2}$	B	74 $m^{2}$
C	144 $m^{2}$	D	35 $m^{2}$

Category: GATE Aerospace Engineering 2020

Question 43:

An axial compressor is designed to operate at a rotor speed of 15000 rpm and an inlet stagnation temperature of 300 K. During compressor testing, the inlet stagnation temperature of the compressor measured was 280 K. What should be the rotor speed for the compressor to develop the same performance characteristics during this test as in design condition?

14000 rpm

14491 rpm

15526 rpm

16071 rpm

Category: GATE Aerospace Engineering 2020

Question 44:

For the state of stress shown in the figure, which one of the following represents the correct free body diagram showing the maximum shear stress and the associated normal stresses?

A		B
C		D

Category: GATE Aerospace Engineering 2020

Question 45:

In the equation

AX = B, A = [\begin{matrix} \frac{1}{\sqrt{2}} & 0 & \frac{1}{\sqrt{2}} \\ 0 & 1 & 0 \\ \frac{1}{\sqrt{2}} & 0 & \frac{- 1}{\sqrt{2}} \end{matrix}], X = [\begin{matrix} x \\ y \\ z \end{matrix}], B = [\begin{matrix} 0 \\ 1 \\ - \sqrt{2} \end{matrix}],

where A is an orthogonal matrix, the sum of the unknowns, x + y + z =______________(round off to one decimal places).

0.3 to 1.1

0.5 to 1.1

0.7 to 1.1

0.9 to 1.1

Category: GATE Aerospace Engineering 2020

Question 46:

\int_{0}^{1} (x^{2} - 2 x + 1) d x

is evaluated numerically using trapezoidal rule with four intervals, the difference between the numerically evaluated value and the analytical value of the integral is equal to _____________( round off to three decimal places).

0.010 to 0.012

0.010 to 0.014

0.010 to 0.016

0.010 to 0.018

Category: GATE Aerospace Engineering 2020

Question 47:

The table shows the lift characteristics of an airfoil at low speeds. The maximum lift coefficient occurs at 16 degrees.

The angle of attack an (in degrees)	Lift coefficient $C_{l}$
0	0.10
4	0.53

Using Prandtl- Glauert rule, the lift coefficient for the airfoil at the angle of attack of 6 degrees and free stream Mack number of 0.6 is ______ (round off to two decimal places).

0.90 to 0.92

0.92 to 0.94

0.94 to 0.96

0.96 to 0.98

Category: GATE Aerospace Engineering 2020

Question 48:

A low-speed uniform flow undefined is an incident on an airfoil of chord c.In the figure, the velocity profile some distance downstream of the airfoil is idealized as shown in section B. The static pressure at sections A and B is the same. The drag coefficient A and B are the same,. The drag coefficient of the airfoil is __________(round off to three decimal places).

0.009 to 0.011

0.009 to 0.012

0.009 to 0.013

0.009 to 0.014

Category: GATE Aerospace Engineering 2020

Question 49:

An oblique shock is inclined at an angle of 35 degrees to the upstream flow of velocity 517.56 m/s. The deflection of the flow due to his shock is 5.75 degrees and the temperature downstream is 182.46 K. Assume the gas constant R = 287 J/(kg K). Using conservation relations, the Mach number of the upstream flow can be obtained as __________ (round off one decimal places).

1.9 to 2.1

2.1 to 2.3

2.3 to 2.5

2.5 to 2.7

Category: GATE Aerospace Engineering 2020

Question 50:

The thickness of a laminar boundary layer

(δ)

over a flat plate is,

\frac{δ}{x} = \frac{5.2}{\sqrt{{Re}_{x}}},

where x is measured from the leading edge along the length of the plate. The velocity profile within the boundary layer is idealized as varying linearly with y. For freestream velocity of 3 ms and kinematic viscosity of

1.5 \times 10^{- 5} m^{2} / s,

the displacement thickness at 0.5m from the lending, the edge is ____________ mm (round off to two decimal places).

4.00 to 4.10

4.00 to 4.20

4.00 to 4.30

4.00 to 4.40

Category: GATE Aerospace Engineering 2020

Question 51:

A wing of 15 m span with elliptic lift distribution is generating a lift of 80 kN at a speed of 90 m/s. The density of air is

1.2 kg / m^{3} .

The induced of attack at this condition is _________degrees (round off to two decimal places).

1.29 to 1.35

1.29 to 1.36

1.29 to 1.37

1.29 to 1.38

Category: GATE Aerospace Engineering 2020

Question 52:

A solid circular shaft, made of ductile material with yield stress

σy = 280 MPa,

is subjected to a torque of 10 kNm. Using the Tresca failure theory, the smallest radius of the shaft to avoid failure is _________ cm (round off to two decimal places).

3.55 to 3.58

3.56 to 3.58

3.57 to 3.58

3.58 to 3.58

Category: GATE Aerospace Engineering 2020

Question 53:

The ratio tangential velocities of a planet at the perihelion and the aphelion from the sun are 1.0339. Assuming that the planet's orbit around the sun is planer and elliptic, the value of eccentricity of the orbit is ____________(round off to three decimal places).

0.010 to 0.012

0.012 to 0.014

0.014 to 0.016

0.016 to 0.018

Category: GATE Aerospace Engineering 2020

Question 54:

The eigenvalues for the phugoid mode of a general aviation airplane at a stable cruise flight condition at a low angle of attack are

λ_{1, 2} = - 0.02 \neq i 0.25 . If the acceleration due to gravity is 9.8 m / s^{2},

the equilibrium speed of the airplane is __________m/ m/s (round off to two decimal places).

55.20 to 55.31

55.20 to 55.32

55.20 to 55.33

55.20 to 55.34

Category: GATE Aerospace Engineering 2020

Question 55:

For a general aviation airplane with tail efficiency

n = 0.95,

horizontal tail volume ratio

V_{H} = 0.453, downwash angle slope \frac{dε}{dα} = 0.35,

wing lift curve slope

C_{La}^{ω} = 4.8 {rad}^{- 1},

horizontal tail lift curve slope

C_{La}^{t} = 4.4 {rad}^{- 1},

shift in the neutral point location as a percentage of a mean aerodynamic chord is _______ (round off to two decimal places).

25.20 to 25.30

25.40 to 25.50

25.60 to 25.70

25.80 to 25.90

Category: GATE Aerospace Engineering 2020

Question 56:

A single-engine propeller-driven, general aviation is flying in cruise at sea-level condition (density of air at sea-level is 1.225

kg / m^{3}

) with speed to cover maximum range. For drag coefficient

C_{D} = 0, 025 + 0.049 C_{L^{2}}

and wing loading W/S = 9844

N / m^{2}

, the speed of the airplane is _________ m/s (round off to one decimal place).

149.0 to 151.0

149.0 to 153.0

149.0 to 155.0

149.0 to 157.0

Category: GATE Aerospace Engineering 2020

Question 57:

The design flight Mach number of an ideal ramjet engine is 2.8. The stagnation temperature of the air at the exit of the combustor is 2400 K. Assuming the specific heat ration of 1/4 and gas constant of 287 J/?(kg K), the velocity of air at the exit of the engine is ___________ m/s (round off to one decimal place).

1710.0 to 1719.0

1711.0 to 1719.0

1712.0 to 1719.0

1713.0 to 1719.0

Category: GATE Aerospace Engineering 2020

Question 58:

The operating conditions of an aircraft engine combustor are as follows. The rate of total enthalpy of air entering the customers = 28.94 MJ/s. The rate of total enthalpy of air entering the customers = 115.42 MJ/s. Mass flow rate of air = 32 kg/s. Air to fuel mass ratio = 15.6. Lower heating value of the fuel = 46 MJ/ kg. The efficiency of the combustor is _________ % (round off to two decimal places).

91 to 93

93 to 95

95 to 97

97 to 99

Category: GATE Aerospace Engineering 2020

Question 59:

The figure shows the T-S diagram for an axial turbine stage.

Assuming a specific heat ratio of 1.33 for the hot gas, the isentropic efficiency of the turbine stage is ______________% (round off to two decimal places).

81 to 83

83 to 85

85 to 87

87 to 89

Category: GATE Aerospace Engineering 2020

Question 60:

A rocket engine has a sea-level specific impulse of 210 s and a nozzle area of 0.005

m^{2} .

While testing at sea level conditions, the characteristic velocity and pressure for the thrust chamber are 1900 m/s and 50 bar, respectively. Assume the acceleration due to gravity to be 9.8

m / s^{2} .

The thrust produced by the rocket engine is _________ kN (round off to one decimal place).

27.0 to 27.0

27.0 to 27.2

27.0 to 27.4

27.0 to 27.6

Category: GATE Aerospace Engineering 2020

Question 61:

A critically damped single degree of freedom spring-mass-damper system used in a door closing mechanism becomes overdamped due to softening of the spring with extended use. If the new damping ratio

(ξ_{new})

for the overdamped condition is 1.2, the ratio of the original spring stiffness to the new spring stiffness

(k_{org} / k_{new}),

assuming that the other parameters remain unchanged, is ______ (round off to two decimal places).

1.41 to 1.43

1.43 to 1.45

1.45 to 1.47

1.47 to 1.49

Category: GATE Aerospace Engineering 2020

Question 62:

The two masses of the two degrees of freedom system shown in the figure are given initial displacements of 2cm undefined . The system starts to vibrate in the first mode. The first mode shape of this system is undefined (round off to two decimal places)

0.61 to 0.63

0.63 to 0.65

0.65 to 0.67

0.67 to 0.69

Category: GATE Aerospace Engineering 2020

Question 63:

As shown in the figure, a beam of length 1 m is rigidly supported at one simply supported at the other. Under the action of a uniformly distributed load of 10 /m, the magnitude of the normal reaction force at the simply supported end is ____________ (round off to two decimal places).

3.70 to 3.72

3.72 to 3.74

3.74 to 3.76

3.76 to 3.78

Category: GATE Aerospace Engineering 2020

Question 64:

An airplane of mass 4000 kg and wing reference area

25 m^{2}

flying at sea level has a maximum lift coefficient of 1.65. Assume the density of air as 1.225

kg / m^{3}

and acceleration due to gravity as 9.8

m / s^{2} .

Using a factor of safety of 1.25 to account for additional unsteady lift during a sudden pull-up, the speed at which the airplane reaches a load factor of 3.2 is ___________ m/s (round off to two decimal places).

62.95 to 63.07

62.95 to 63.08

62.95 to 63.09

62.95 to 63.10

Category: GATE Aerospace Engineering 2020

Question 65:

A Pitot tube mounted on the wingtip of an airplane flying at an altitude of 3 km measures pressure of 0.72 bar, and the outside air temperature is 268.66 K. Take the sea level condition as, pressure = 1.01 bar, temperature = 288.16 K, and density = 1.225

kg / m^{3} .

The acceleration due to gravity is 9.8

m / s^{2}

and the gas constant is 287 J/ (kg K). Assuming standard atmosphere, the equivalent airspeed for this airplane is ____________ m/s (round off to two decimal place).

57.10 to 60.00

57.20 to 60.00

57.30 to 60.00

57.40 to 60.00

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Question 1:

Correct Answer : in, of

Question 2:

He was not only accused of theft __________ of conspiracy.

Correct Answer : but also

Question 3:

Select the word that fits the analogy: Explicit: Implicit: :Express: ___________

Correct Answer : Repress

Question 4:

Correct Answer : the English announcements being longer than the French ones.

Question 5:

A superadditive function f(.) satisfies the following property

f (x_{1} + x_{2}) \geq f (x_{1}) + f (x_{2})

Which of the following functions is a superadditive function for

x > 1

A	$e^{x}$	B	$\sqrt{x}$
C	$\frac{1}{x}$	D	$e^{- x}$

Correct Answer : A

Question 6:

A	$Easr Asian crisi \to subprime lending crisis \to banking crisis \to global financial crisis,$
B	$subprime lending crisis \to global financial crisis, \to banking crisis \to Easr Asian crisi$
C	$banking crisis \to subprime lending crisis \to global financial crisis, \to Easr Asian crisi$
D	$global financial crisis, \to Easr Asian crisi \to banking crisis \to subprime lending crisis$

Correct Answer : A

Question 7:

It is quarter past three on your watch. The angle between the hour hand and the minute hand is __________.

A	$0 °$	B	$7.5 °$
C	$15 °$	D	$22.5 °$

Correct Answer : B

Question 8:

A	undefined	B	undefined
C	undefined	D	undefined

Correct Answer : C

Question 9:

a, b, c are real numbers. The quadratic equation

{ax}^{2} - bx + c = 0

has equal roots, which is

β,

then

A	$β = b / a$	B	$β^{2} = ac$
C	$β^{3} = bc / (2 a^{2})$	D	$b^{2} \neq 4 ac$

Correct Answer : C

Question 10:

Correct Answer : 23: 8

Question 11:

For

f (x) = |x|, with \frac{df}{dx}

denoting the derivative, the mean value theorem is not applicable because

A	F(x) is not continuous at x = 0	B	f(x) = 0 at x = 0
C	$\frac{df}{dx}$ is not defined at x = 0	D	$\frac{df}{dx}$ = 0 at x = 0

Correct Answer : C

Question 12:

For the function

f (x) = \frac{e^{- λ}}{σ \sqrt{2 π}}, where λ = \frac{1}{2 σ^{2}} {(x - μ)}^{2}, and σ and μ

are constants, the maximum occurs at

A	$x = σ$	B	$x = σ \sqrt{2 π}$
C	$x = 2 σ^{2}$	D	$x = μ$

Correct Answer : D

Question 13:

y = {Ae}^{m x} + {Be}^{- mx}

, where A, B, and m are constants, is a solution of

A	$\frac{d^{2} y}{{dx}^{2}} - m^{2} y = 0$	B	$A \frac{d^{2} y}{{dx}^{2}} + m^{2} y = 0$
C	$B \frac{d^{2} y}{{dx}^{2}} - Ay = 0$	D	$\frac{d^{2} y}{{dx}^{2}} + my = m^{2}$

Correct Answer : A

Question 14:

Which of the following statements is true about the effect of an increase in temperature on the dynamic viscosity of water and air, at room temperature?

Correct Answer : It decreases for water and increases for air

Question 15:

Given access to the complete geometry, surface pressure, and shear stress distribution over a body placed in a uniform flow, one can estimate

Correct Answer : the force and the moment on the body.

Question 16:

A pair of infinitely long, counter-rotating line vortices of the same circulation strength T are situated a distance h apart in a fluid, as shown in the figure. The vortices will

A	rotate counter-clockwise about the midpoint with the tangential velocity at the line vertex equal to undefined
B	rotate counter-clockwise about the midpoint with the tangential velocity at the line vertex equal to undefined
D	translate along + y-direction with the velocity at the line vortex equal to undefined
C	translate along + y-direction with the velocity at the line vortex equal to undefined

Correct Answer : C

Question 17:

The streamlines of a steady two-dimensional flow through a channel of height 0.2 m are plotted in the figure, where is the stream function is undefined The volumetric flow rate per unit depth is

A	10 undefined	B	2.0 undefined
C	0.5 undefined	D	0.1 undefined

Correct Answer : B

Question 18:

Which of the following options can result in an increase in the Mach number of a supersonic flow in a duct?

Correct Answer : Removing heat from flow

Question 19:

Which one of the following conditions needs to be satisfied for

ϕ = {Ax}^{4} + {By}^{4} + {Cxy}^{3}

to be considered as an Airy's stress function?

A	$A - B = 0$	B	$A + B = 0$
C	$A - C = 0$	D	$A + C = 0$

Correct Answer : B

Question 20:

Consider the plane strain field given by

ε_{xx} = A^{2} y + x, ε_{yy} = {Ax}^{2} + y, γ_{xy} = B x y + y .

The relation A and B needed for this strain field to satisfy the compatibility condition is

Correct Answer : B = 4A

Question 21:

A	$\frac{1}{2} {mV}^{2} > \frac{GMm}{r}$	B	$\frac{1}{2} {mV}^{2} < \frac{GMm}{r}$
C	$\frac{1}{2} {mV}^{2} = \frac{GMm}{r}$	D	$\frac{1}{2} {mV}^{2} < \frac{2 GMm}{r}$

Correct Answer : A

Question 22:

For conventional airplanes, which one of the following is true regarding roll control derivative

(C_{1 δ} = \frac{\partial C_{1}}{\partial δ_{r}})

and yaw control derivative

(C_{{nδ}_{r}} = \frac{\partial C_{n}}{\partial δ_{r}}),

where

δ_{r}

is rudder deflection?

A	$C_{1 δ_{r}} > 0 and C_{{nδ}_{r}} < 0$	B	$C_{1 δ_{r}} < 0 and C_{{nδ}_{r}} > 0$
C	$C_{1 δ_{r}} < 0 and C_{{nδ}_{r}} < 0$	D	$C_{1 δ_{r}} > 0 and C_{{nδ}_{r}} > 0$

Correct Answer : A

Question 23:

The ratio of exit stagnation pressure to inlet stagnation pressure across the rotating impeller of a centrifugal compressor, operating with a closed exit, is

A	0	B	1
C	$> 1$	D	0.5

Correct Answer : C

Question 24:

Which one of the following is a hypergolic propellant combination used in rocket engines?

Correct Answer : Usymmetrical dimethyl hydrazine- nitrogen tetroxide

Question 25:

In aircraft engine, thermodynamic cycle analysis, perfectly expanded flow in the nozzle means that the static pressure in the flow at the nozzle exit is equal to

Correct Answer : the ambient pressure at the nozzle exit.

Question 26:

Three long slender aluminum bars of identical length are subject to an axial tensile force. These bars have circular, triangular cross-sections, with the same sectional area. If they yield at

F_{circle}, F_{triangle} and F_{rectangle,}

respectively, which one of the following is true?

A	$F_{circle} < F_{triangle} < F_{rectangle,}$	B	$F_{triangle} > F_{circle} > F_{rectangle,}$
C	$F_{triangle} > F_{circle} > F_{rectangle,}$	D	$F_{circle} = F_{triangle} = F_{rectangle,}$

Correct Answer : D

Question 27:

Correct Answer : III

Question 28:

The natural frequency of the first model of a rectangular cross-section cantilever aluminum beam is

A	$\frac{ω}{4} rad / s$	B	$4 ω rad / s$
C	$\frac{ω}{16} rad / s$	D	$16 ω rad / s$

Correct Answer : A

Question 29:

Given

A = (\begin{matrix} sinθ & tanθ \\ 0 & cosθ \end{matrix}),

the sum of squares of eigenvalues of A is

A	$\tan^{2} θ$	B	1
C	$\sin^{2} θ$	D	$\cos^{2} θ$

Correct Answer : B

Question 30:

The burnout velocity of a space vehicle in a circular orbit at an angle 5 degrees above the local horizon around the earth is

13.5 km / s .

Tangential velocity of the space vehicle in the orbit is_____________ km/m (round off to decimal places).

Correct Answer : 13.42 to 13.47

Question 31:

The velocity of an airplane in the body-fixed axes is given as [100-10 20] m/s. The sideslip angle is ________ degrees (round off to two places).

Correct Answer : -5.62 to -5.57

Question 32:

The similarity solution for the diffusion equation,

\frac{\partial u}{\partial t} = α \frac{\partial^{2} u}{\partial x^{2}}

is u(x, t) = u(n), where similarity variable,

n = \frac{x}{\sqrt{αt}} .

(x, 0) = e^{- x^{2}},

the ratio

\frac{u (0, 1)}{u (0, 4)} =_______

(round off to one decimal place).

Correct Answer : 1.9 to 2.1

Question 33:

Air enters the rotor of an axial compressor stage with no pre-whirl

(C_{θ} - 0)

and exits the rotor with velocity,

C_{θ} = 150 m / s .

The velocity of rotor vanes, U is 200 m/s. Assuming

C_{p} = 1005 J / (kg K)

, the stagnation temperature rise across the rotor is ____________ K (round off of one decimal place).

Correct Answer : 29.8 to 30.0

Question 34:

Correct Answer : 0.009 to 0.011

Question 35:

Correct Answer : 3.50 to 3.60

Question 36:

The equation

x \frac{dx}{dy} + y = c,

where c is a constant, represents a family of

Correct Answer : circles

Question 37:

A wedge-shaped airfoil is placed in a supersonic flow as shown in the figure (not to scale). The corners of the wedge are at undefined respectively.

Which one of the following represents the correct static pressure profiles along undefined

A		B
C		D

Correct Answer : D

Question 38:

The value of Poisson's ratio at which the tropic material is equal to the bulk modulus ear modulus of an is equal to the bulk modulus is

A	$\frac{1}{2}$	B	$\frac{1}{4}$
C	$\frac{1}{6}$	D	$\frac{1}{8}$

Correct Answer : D

Question 39:

A	undefined	B	undefined
C	undefined	D	undefined

Correct Answer : C

Question 40:

The three-dimensional strain-stress relations for an isotropic material, written in a general matrix form, is

\{\begin{matrix} ε_{xx} \\ ε_{yy} \\ ε_{zz} \\ γ_{yz} \\ γ_{xz} \\ γ_{xy} \end{matrix}\} = [\begin{matrix} A & C & C & 0 & 0 & 0 \\ C & A & C & 0 & 0 & 0 \\ C & C & A & 0 & 0 & 0 \\ 0 & 0 & 0 & B & 0 & 0 \\ 0 & 0 & 0 & 0 & B & 0 \\ 0 & 0 & 0 & 0 & 0 & B \end{matrix}] \{\begin{matrix} σ_{xx} \\ σ_{yy} \\ σ_{zz} \\ σ_{yz} \\ σ_{xz} \\ σ_{xy} \end{matrix}\}

A B and C are compliance which depends on the elastic properties of the material. Which one of the following is correct?

A	$C = \frac{A}{2} - B$	B	$C = \frac{A}{2} + B$
C	$C = A + \frac{B}{2}$	D	$C = A - \frac{B}{2}$

Correct Answer : D

Question 41:

For three different A, B, and C, the yawing moment coefficient

(C_{n})

was measured in a wind tunnel for three settings of sideslip angle

β

and tabulated as

	Airplane A	Airplane B	Airplane C
$β = - 5 \deg$	-0.030	-0.025	0.040
$β = 0 \deg$	0	0	0
$β = 5 \deg$	0.030	0.025	-0.040

Which one of the following statements is true regarding directional static stability of airplanes A, B, and C?

Correct Answer : Airplane C is unstable, A and B are stable with A being more stable than B,

Question 42:

A closed curve is expressed in parametric form as

x = α cosθ and y = b sinθ,

where

α = 7 m and b = 5 m

. Approximating

π = \frac{22}{7}

, which of the following is the area enclosed by the curve?

A	110 $m^{2}$	B	74 $m^{2}$
C	144 $m^{2}$	D	35 $m^{2}$

Correct Answer : A

Question 43:

Correct Answer : 14491 rpm

Question 44:

For the state of stress shown in the figure, which one of the following represents the correct free body diagram showing the maximum shear stress and the associated normal stresses?

A		B
C		D

Correct Answer : B

Question 45:

In the equation

AX = B, A = [\begin{matrix} \frac{1}{\sqrt{2}} & 0 & \frac{1}{\sqrt{2}} \\ 0 & 1 & 0 \\ \frac{1}{\sqrt{2}} & 0 & \frac{- 1}{\sqrt{2}} \end{matrix}], X = [\begin{matrix} x \\ y \\ z \end{matrix}], B = [\begin{matrix} 0 \\ 1 \\ - \sqrt{2} \end{matrix}],

where A is an orthogonal matrix, the sum of the unknowns, x + y + z =______________(round off to one decimal places).

Correct Answer : 0.9 to 1.1

Question 46:

\int_{0}^{1} (x^{2} - 2 x + 1) d x

Correct Answer : 0.010 to 0.012

Question 47:

The table shows the lift characteristics of an airfoil at low speeds. The maximum lift coefficient occurs at 16 degrees.

The angle of attack an (in degrees)	Lift coefficient $C_{l}$
0	0.10
4	0.53

Using Prandtl- Glauert rule, the lift coefficient for the airfoil at the angle of attack of 6 degrees and free stream Mack number of 0.6 is ______ (round off to two decimal places).

Correct Answer : 0.92 to 0.94

Question 48:

Correct Answer : 0.009 to 0.011

Question 49:

Correct Answer : 1.9 to 2.1

Question 50:

The thickness of a laminar boundary layer

(δ)

over a flat plate is,

\frac{δ}{x} = \frac{5.2}{\sqrt{{Re}_{x}}},

1.5 \times 10^{- 5} m^{2} / s,

the displacement thickness at 0.5m from the lending, the edge is ____________ mm (round off to two decimal places).

Correct Answer : 4.00 to 4.30

Question 51:

A wing of 15 m span with elliptic lift distribution is generating a lift of 80 kN at a speed of 90 m/s. The density of air is

1.2 kg / m^{3} .

The induced of attack at this condition is _________degrees (round off to two decimal places).

Correct Answer : 1.29 to 1.38

Question 52:

A solid circular shaft, made of ductile material with yield stress

σy = 280 MPa,

is subjected to a torque of 10 kNm. Using the Tresca failure theory, the smallest radius of the shaft to avoid failure is _________ cm (round off to two decimal places).

Correct Answer : 3.55 to 3.58

Question 53:

Correct Answer : 0.016 to 0.018

Question 54:

The eigenvalues for the phugoid mode of a general aviation airplane at a stable cruise flight condition at a low angle of attack are

λ_{1, 2} = - 0.02 \neq i 0.25 . If the acceleration due to gravity is 9.8 m / s^{2},

the equilibrium speed of the airplane is __________m/ m/s (round off to two decimal places).

Correct Answer : 55.20 to 55.33

Question 55:

For a general aviation airplane with tail efficiency

n = 0.95,

horizontal tail volume ratio

V_{H} = 0.453, downwash angle slope \frac{dε}{dα} = 0.35,

wing lift curve slope

C_{La}^{ω} = 4.8 {rad}^{- 1},

horizontal tail lift curve slope

C_{La}^{t} = 4.4 {rad}^{- 1},

shift in the neutral point location as a percentage of a mean aerodynamic chord is _______ (round off to two decimal places).

Correct Answer : 25.60 to 25.70

Question 56:

A single-engine propeller-driven, general aviation is flying in cruise at sea-level condition (density of air at sea-level is 1.225

kg / m^{3}

) with speed to cover maximum range. For drag coefficient

C_{D} = 0, 025 + 0.049 C_{L^{2}}

and wing loading W/S = 9844

N / m^{2}

, the speed of the airplane is _________ m/s (round off to one decimal place).

Correct Answer : 149.0 to 151.0

Question 57:

Correct Answer : 1712.0 to 1719.0

Question 58:

Correct Answer : 91 to 93

Question 59:

The figure shows the T-S diagram for an axial turbine stage.

Assuming a specific heat ratio of 1.33 for the hot gas, the isentropic efficiency of the turbine stage is ______________% (round off to two decimal places).

Correct Answer : 87 to 89

Question 60:

A rocket engine has a sea-level specific impulse of 210 s and a nozzle area of 0.005

m^{2} .

While testing at sea level conditions, the characteristic velocity and pressure for the thrust chamber are 1900 m/s and 50 bar, respectively. Assume the acceleration due to gravity to be 9.8

m / s^{2} .

The thrust produced by the rocket engine is _________ kN (round off to one decimal place).

Correct Answer : 27.0 to 27.2

Question 61:

A critically damped single degree of freedom spring-mass-damper system used in a door closing mechanism becomes overdamped due to softening of the spring with extended use. If the new damping ratio

(ξ_{new})

for the overdamped condition is 1.2, the ratio of the original spring stiffness to the new spring stiffness

(k_{org} / k_{new}),

assuming that the other parameters remain unchanged, is ______ (round off to two decimal places).

Correct Answer : 1.43 to 1.45

Question 62:

Correct Answer : 0.61 to 0.63

Question 63:

Correct Answer : 3.74 to 3.76

Question 64:

An airplane of mass 4000 kg and wing reference area

25 m^{2}

flying at sea level has a maximum lift coefficient of 1.65. Assume the density of air as 1.225

kg / m^{3}

and acceleration due to gravity as 9.8

m / s^{2} .

Correct Answer : 62.95 to 63.08

Question 65:

kg / m^{3} .

The acceleration due to gravity is 9.8

m / s^{2}

and the gas constant is 287 J/ (kg K). Assuming standard atmosphere, the equivalent airspeed for this airplane is ____________ m/s (round off to two decimal place).

Correct Answer : 57.10 to 60.00

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