Aerospace Engineering GATE 2025 Questions with Answer

Ques 40 General Aptitude


A regular dodecagon (12-sided regular polygon) is inscribed in a circle of radius r cm as shown in the figure. The side of the dodecagon is d cm. All the triangles (numbered 1 to 12) in the figure are used to form squares of side r cm and each numbered triangle is used only once to form a square.
The number of squares that can be formed and the number of triangles required to form each square, respectively, are:
Note: The figure shown is representative.

A

3:4

B

4:3

C

3:3

D

2:3


Ques 41 General Aptitude


If a real variable x satisfies 3x2=27×9x then the value of 2x2/(2x)2 is:

A

2-1

B

20

C

23

D

215


Ques 42 General Aptitude


The number of patients per shift (X) consulting Dr. Gita in her past 100 shifts is shown in the figure. If the amount she earns is ¥1000(X-0.2), what is the average amount (in ¥) she has earned per shift in the past 100 shifts?
Note: The figure shown is representative.

A

6,100

B

6,300

C

6,000

D

6,500


Ques 43 Propulsion


In a centrifugal compressor, the eye tip diameter is 10 cm. For a shaft rotational speed of 490 rotations per second, the tangential speed at the inducer tip is ______ m/s (rounded off to one decimal place).


Ques 44 Propulsion


A perfect gas flows through a frictionless constant-area duct with heat addition. The inlet conditions are as follows: pressure 100 kPa, density 1 kg/m3, and velocity 100 m/s. At a particular downstream location, the gas velocity is 200 m/s. The static pressure at the downstream location is ______ kPa (answer in integer).


Ques 45 Propulsion


δQ and δW are the heat and work interactions of a system with its surroundings, and du is the change in the internal energy of the system. For an adiabatic process in a closed, constant pressure combustor, which one of the following options is correct?

A

|δQ|=|dU|≠0 and |δW|=0

B

|δQ|=|δW|=0 and |dU|≠0

C

|δQ|=|δW|=|dU|=0

D

|δW|=|dU|≠0 and |δQ|=0


Ques 46 Propulsion


An ideal two-stage rocket has identical specific impulse and structural coefficient for its two stages. For an optimized rocket, the two stages have identical payload ratio as well. The payload is 2 tons and the initial mass of the rocket is 200 tons. The mass of the second stage of the rocket (including the final payload mass) is ______ tons.


Ques 47 Propulsion


A gaseous fuel mixture comprising 3 moles of methane and 2 moles of ammonia is combusted in X moles of pure oxygen in stoichiometric amount. Assuming complete combustion, with only CO2, H2O and N2 in the product gases, the value of X is
3 CH4+2 NH3+X O2 → Products (CO2, H2O, N2)

A

7.5

B

5.5

C

8.5

D

9.5


Ques 48 Space Mechanics


F and G denote two points on a spacecraft's orbit around a planet, as indicated in the figure. O is the center of the planet, P is the periapsis, and the angles are as indicated in the figure. If OF=8000 km, OG=10000 km, θF=0 deg, and θG=60 deg, the eccentricity of the spacecraft's orbit is ______ (rounded off to two decimal places).


Ques 49 Structures


A 1 m long rod is to be designed to support an axial tensile load P (P>> weight of the rod). The material for the rod is to be chosen from one of the four provided in the table. Using strength-based failure criterion for design, which material results in the lowest weight of the rod?

PropertiesMaterial αMaterial βMaterial γMaterial δ
Density (kg/m3)2700450078009000
Young's modulus (GPa)70115200130
Yield Strength (MPa)900520270540

A

Material α

B

Material β

C

Material γ

D

Material δ


Ques 50 Structures


For a homogeneous, isotropic material, the relation between the shear modulus (G), Young's modulus (E), and Poisson's ratio (v) is

A

G=2E(1+v)

B

2G=E(1+v)

C

E=2G(1+v)

D

2E=G(1+v)


Ques 51 Structures


A simply supported horizontal beam is subjected to a distributed transverse load varying linearly from q0 at A to zero at B, as shown in the figure. Which one of the following options is correct?

A

The magnitude of the vertical reaction force at A is larger than that at B.

B

The magnitude of the vertical reaction force at B is larger than that at A.

C

The magnitudes of the vertical reaction forces at A and B are equal.

D

The reactions at points A and B are indeterminate.


Ques 52 Structures


A stress field is given by σxxzz=C1y, σyy=C2y, τxyyzzx=0, where C1 and C2 are non-zero constants. If the stress field satisfies equilibrium, which one of the following options is correct?

A

There is no body force per unit volume.

B

There is a constant body force per unit volume in the y-direction.

C

The body force per unit volume varies linearly in the y-direction.

D

The direction of the body force per unit volume depends on the value of C1.


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