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Aerospace Engineering Gate 2025 Questions with Answer

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Ques 40 GATE 2025

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.

3:4

4:3

3:3

2:3

(a) is the correct answer.

Ques 41 GATE 2025

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

2^-1

2⁰

2³

2¹⁵

(d) is the correct answer.

Ques 42 GATE 2025

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.

6,100

6,300

6,000

6,500

(a) is the correct answer.

Ques 43 GATE 2025

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).

(153.9) is the correct answer.

Ques 44 GATE 2025

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).

(85) is the correct answer.

Ques 45 GATE 2025

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?

|δQ|=|dU|≠0 and |δW|=0

|δQ|=|δW|=0 and |dU|≠0

|δQ|=|δW|=|dU|=0

|δW|=|dU|≠0 and |δQ|=0

(d) is the correct answer.

Ques 46 GATE 2025

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.

(20) is the correct answer.

Ques 47 GATE 2025

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)

7.5

5.5

8.5

9.5

(d) is the correct answer.

Ques 48 GATE 2025

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, θ_F=0 deg, and θ_G=60 deg, the eccentricity of the spacecraft's orbit is ______ (rounded off to two decimal places).

(0.11) is the correct answer.

Ques 49 GATE 2025

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?

Properties	Material α	Material β	Material γ	Material δ
Density (kg/m³)	2700	4500	7800	9000
Young's modulus (GPa)	70	115	200	130
Yield Strength (MPa)	900	520	270	540

Material α

Material β

Material γ

Material δ

(a) is the correct answer.

Ques 50 GATE 2025

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

G=2E(1+v)

2G=E(1+v)

E=2G(1+v)

2E=G(1+v)

Ques 51 GATE 2025

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?

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

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

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

The reactions at points A and B are indeterminate.

(b) is the correct answer.

Ques 52 GATE 2025

A stress field is given by σ_xx=σ_zz=C₁y, σ_yy=C₂y, τ_xy=τ_yz=τ_zx=0, where C₁ and C₂ are non-zero constants. If the stress field satisfies equilibrium, which one of the following options is correct?

There is no body force per unit volume.

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

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

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

(b) is the correct answer.

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Aerospace Engineering Gate 2025 Questions with Answer

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