GATE AE year:2025 PYQs & Answers — Page 4

Questions 31–40 of 65. Imported answers require independent review unless marked reviewed.

and

are the heat and work interactions of a system with its surroundings, and

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?

Your answerChoose one option.

and

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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.

Your answerChoose one option.

100

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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 CO

, H

O and N

in the product gases, the value of X is ____. The displayed reaction is: 3 CH

+ 2 NH

+ X O

→ Products (CO

, H

O, N

Your answerChoose one option.

7.5

5.5

8.5

9.5

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The lift per unit span for a spinning circular cylinder in a potential flow is 6 N/m. The free-stream velocity is 30 m/s, and the density of air is 1.225 kg/m

. The circulation around the cylinder is ____ m

/s (rounded off to two decimal places).

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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).

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A lifting surface has a spanwise circulation distribution of

(where

) over its span

, and

is the spanwise coordinate. Furthermore, the downwash varies along the span as

, where

is the free stream velocity. Which one of the following options represents total lift (

) and induced drag (

Your answerChoose one option.

and

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A 1 m long rod is to be designed to support an axial tensile load

(

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/m )	2700	450	780	900
Young’s modulus (GPa)	70	115	200	130
Yield Strength (MPa)	270	900	520	540

Your answerChoose one option.

Material α

Material β

Material γ

Material δ

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A general aviation airplane is initially in steady and level flight. The stability coefficient

(

is the airplane pitching moment coefficient and

is the pitch rate) is negative. The airplane is perturbed with a small nose-up constant pitch rate. Assume that the horizontal tail does not stall during the perturbation, and instead effects are neglected. When compared to steady and level flight condition, which of the following statements is/are true during the perturbed motion?

Your answerSelect all correct options. You can choose more than one.

The angle of attack of the horizontal tail increases.

The contribution of the horizontal tail to the airplane’s pitching moment about the center of gravity is more stabilizing.

The lift generated by the horizontal tail increases.

The contribution of the horizontal tail to the airplane’s pitching moment about the center of gravity is less stabilizing.

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A general aviation airplane is gliding with a speed

at minimum glide angle. Which of the following statements is/are true?

Your answerSelect all correct options. You can choose more than one.

is equal to the speed corresponding to the maximum lift to drag ratio of the airplane.

increases with decreasing wing loading when all other parameters remain constant.

increases with decreasing altitude when all other parameters remain constant.

increases with increasing altitude when all other parameters remain constant.

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The maximum value of the function

in the domain

occurs at

(rounded off to two decimal places).

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GATE AE year:2025 PYQs

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

Question 40