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GATE 2022 AE question paper PDF and answer key

The official GATE 2022 Aerospace Engineering paper, organised by IIT Kharagpur: 65 questions for 100 marks in 3 hours. Download the official question paper and answer key as PDFs. Below is how the marks were split by topic, the complete official answer key and 5 questions solved step by step.

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Question paper (PDF)Official answer key (PDF)

Source: the official paper and answer key published by IIT Kharagpur for GATE 2022 (official GATE site). Spotted a mistake? Email team@lemyte.com.

General Aptitude
10 · 15 marks
Aerospace Engineering
55 · 85 marks
MCQ / MSQ / NAT
30 / 12 / 23
Marks to all
None

Where the marks were

GATE 2022 AE topic-wise marks

Aerospace Engineering questions only; General Aptitude adds 15 marks on top. The top three topics carried 56 of the 85 subject marks.

TopicQuestionsMarks
Aerodynamics1422
Structures1422
Propulsion812
Calculus710
Flight Mechanics710
Differential Equations24
Linear Algebra23
Space Dynamics12

Free solved questions

5 solved questions from GATE 2022 AE

Question text and figures as in the official paper, the answer from the official key, and a worked solution. The other 60 solutions are in your report after you take the paper.

Q5 · General Aptitude · MCQ · 1 mark

Figure for GATE 2022 AE question 5 (Spatial Aptitude)

Which one of the groups given below can be assembled to get the shape that is shown above using each piece only once without overlapping with each other? (rotation and translation operations may be used).

  • (A)
    GATE 2022 AE question 5 (Spatial Aptitude), option A
  • (B)
    GATE 2022 AE question 5 (Spatial Aptitude), option B
  • (C)
    GATE 2022 AE question 5 (Spatial Aptitude), option C
  • (D)
    GATE 2022 AE question 5 (Spatial Aptitude), option D

Answer (official key): B or B, C

Solution

The shape is a rectangle body with a triangular nose on top and two triangular fins at the base. The pieces must supply one rectangle and the right-shaped triangles. The official key accepts (B) or (C).

Q9 · General Aptitude · MCQ · 2 marks

Four cities P, Q, R and S are connected through one-way routes as shown in the figure. The travel time between any two connected cities is one hour. The boxes beside each city name describe the starting time of first train of the day and their frequency of operation. For example, from city P, the first trains of the day start at 8 AM with a frequency of 90 minutes to each of R and S. A person does not spend additional time at any city other than the waiting time for the next connecting train.

If the person starts from R at 7 AM and is required to visit S and return to R, what is the minimum time required?

Figure for GATE 2022 AE question 9 (Analytical Aptitude)

  • (A)
    6 hours 30 minutes
  • (B)
    3 hours 45 minutes
  • (C)
    4 hours 30 minutes
  • (D)
    5 hours 15 minutes

Answer (official key): A

Solution

From R the only route is to Q: leave 7:00, reach Q 8:00. Q's trains run at 5, 7, 9 AM…, so leave 9:00 for P, arrive 10:00. P's trains run at 8:00, 9:30, 11:00, so leave 11:00 for S, arrive 12:00. S's trains run every 45 min from 8:00, so leave 12:30 for R, arrive 1:30 PM. Total 6 h 30 min.

Q45 · Flight Mechanics · MSQ · 2 marks

For a conventional airplane in straight, level, constant velocity flight condition, which of the following condition(s) is/are possible on Euler angles (ϕ,θ,ψ)(\phi, \theta, \psi), angle of attack (α)(\alpha) and the sideslip angle (β)(\beta)?

  • (A)
    ϕ=0°,θ=2°,ψ=0°,α=2°,β=0°\phi = 0°, \theta = 2°, \psi = 0°, \alpha = 2°, \beta = 0°
  • (B)
    ϕ=5°,θ=0°,ψ=0°,α=2°,β=0°\phi = 5°, \theta = 0°, \psi = 0°, \alpha = 2°, \beta = 0°
  • (C)
    ϕ=0°,θ=3°,ψ=0°,α=3°,β=5°\phi = 0°, \theta = 3°, \psi = 0°, \alpha = 3°, \beta = 5°
  • (D)
    ϕ=0°,θ=5°,ψ=0°,α=2°,β=5°\phi = 0°, \theta = 5°, \psi = 0°, \alpha = 2°, \beta = 5°

Answer (official key): A

Solution

Straight, level, unaccelerated flight with wings level needs no sideslip and θ=α\theta = \alpha (zero flight-path angle): (A). A bank angle (B) would turn the aircraft, and sideslip with wings level (C, D) leaves an unbalanced side force.

Q50 · Aerodynamics · Numerical · 2 marks

A rotational velocity field in an air flow is given as V⃗=ay i^+bx j^\vec{V} = ay\,\hat{i} + bx\,\hat{j}, with aa = 10 s⁻¹, bb = 20 s⁻¹.

The air density is 1.0 kg/m³ and the pressure at (x,y)(x, y) = (0 m, 0 m) is 100 kPa.

Neglecting gravity, the pressure at (x,y)(x, y) = (6 m, 8 m) is _____ kPa (rounded off to nearest integer).

Answer (official key): 88 to 91

Solution

The flow is rotational, so use Euler's equation: ∂p/∂x=−ρ(u ux+v uy)=−ρabx\partial p/\partial x = -\rho(u\,u_x + v\,u_y) = -\rho abx and ∂p/∂y=−ρaby\partial p/\partial y = -\rho aby. Hence p=p0−12ρab(x2+y2)=100 000−100×100=90p = p_0 - \tfrac12\rho ab(x^2 + y^2) = 100\,000 - 100 \times 100 = 90 kPa.

Q53 · Aerodynamics · Numerical · 2 marks

In a converging duct, area and velocity at section P are 1 m² and 15 m/s, respectively. The temperature of the fluid is 300 K.

Air flow through the nozzle can be assumed to be inviscid and isothermal. Characteristic gas constant is 287 J/(kg-K) and ratio of specific heats is 1.4 for air.

To ensure that the air flow remains incompressible (Mach number, M≤0.3M \le 0.3) in the duct, the minimum area required at section Q is _____ m² (rounded off to two decimal places).

Figure for GATE 2022 AE question 53 (Aerodynamics)

Answer (official key): 0.14 to 0.15

Solution

a=1.4×287×300=347.2a = \sqrt{1.4 \times 287 \times 300} = 347.2 m/s, so VQ=104.2V_Q = 104.2 m/s. Isothermal Euler flow: ρQρP=exp⁡(−VQ2−VP22RT)=0.940\dfrac{\rho_Q}{\rho_P} = \exp\left(-\dfrac{V_Q^2 - V_P^2}{2RT}\right) = 0.940. Continuity: AQ=15×1104.2×0.940=0.15A_Q = \dfrac{15 \times 1}{104.2 \times 0.940} = 0.15 m².

The other 60 questions are solved in your report when you take GATE 2022 AE as a 3-hour test.

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Official answer key

GATE 2022 AE answer key

All 65 answers from the official key. Numerical answers are ranges; “or” means the key accepts either answer.

Download the official GATE 2022 AE answer key (PDF)
QTopicTypeMarksAnswer
1Verbal AptitudeMCQ1B
2Quantitative AptitudeMCQ1C
3Quantitative AptitudeMCQ1C
4Analytical AptitudeMCQ1A
5Spatial AptitudeMCQ1B or B, C
6Verbal AptitudeMCQ2C
7Quantitative AptitudeMCQ2C
8Quantitative AptitudeMCQ2A
9Analytical AptitudeMCQ2A
10Quantitative AptitudeMCQ2B
11CalculusMCQ1C
12Linear AlgebraMCQ1D
13CalculusMCQ1B
14AerodynamicsMCQ1C
15AerodynamicsMCQ1C
16AerodynamicsMCQ1B
17AerodynamicsMCQ1B
18Flight MechanicsMCQ1D
19Flight MechanicsMCQ1A
20StructuresMCQ1B
21StructuresMCQ1B
22StructuresMCQ1A
23PropulsionMCQ1B
24CalculusMSQ1B, C
25AerodynamicsMSQ1B, D
26AerodynamicsMSQ1B, C
27Flight MechanicsMSQ1A, D
28StructuresMSQ1B, C
29StructuresMSQ1A, C, D
30PropulsionMSQ1B, C, D
31CalculusNumerical18.6 to 9.1
32Flight MechanicsNumerical15.55 to 5.8
33StructuresNumerical1109 to 111
34PropulsionNumerical15.7 to 6
35PropulsionNumerical151.5 to 52.6
36CalculusMCQ2C
37Differential EquationsMCQ2C
38Differential EquationsMCQ2C
39AerodynamicsMCQ2B
40Flight MechanicsMCQ2B
41StructuresMCQ2C
42PropulsionMCQ2B
43CalculusMSQ2A, B
44AerodynamicsMSQ2A, C
45Flight MechanicsMSQ2A
46Space DynamicsMSQ2B, C, D
47PropulsionMSQ2B, D
48CalculusNumerical27.4 to 7.7
49Linear AlgebraNumerical22
50AerodynamicsNumerical288 to 91
51AerodynamicsNumerical29500 to 9800
52AerodynamicsNumerical21.24 to 1.28
53AerodynamicsNumerical20.14 to 0.15
54AerodynamicsNumerical2-0.057 to -0.053
55AerodynamicsNumerical249 to 51 or -51 to -49
56Flight MechanicsNumerical244 to 46
57StructuresNumerical22.6 to 2.7
58StructuresNumerical243 to 48
59StructuresNumerical21
60StructuresNumerical20.95 to 1.05
61StructuresNumerical22700 to 2960
62StructuresNumerical219 to 21
63StructuresNumerical21.7 to 1.8
64PropulsionNumerical2545 to 555
65PropulsionNumerical26 to 1000000

Questions about GATE 2022 AE

How many questions are in the GATE 2022 AE paper?

65 questions for 100 marks: 10 General Aptitude questions worth 15 marks and 55 Aerospace Engineering questions worth 85 marks. By type, there were 30 MCQs, 12 MSQs, 23 numerical answer (NAT) questions. The paper lasted 3 hours.

Is there negative marking in GATE 2022 AE?

Yes, for MCQs only. A wrong MCQ answer costs one-third of its marks (−⅓ for a 1-mark question, −⅔ for a 2-mark question). MSQ and numerical (NAT) questions have no negative marking, and an MSQ earns marks only when every correct option is chosen.

Which topics carried the most marks in GATE 2022 AE?

Outside General Aptitude, the biggest topics were Aerodynamics (22 marks), Structures (22 marks), Propulsion (12 marks). The full topic-wise split is in the table on this page.

Were any GATE 2022 AE questions awarded marks to all?

No. Every question was graded with the answer in the official key.

Where does this GATE 2022 AE answer key come from?

From the official answer key published by IIT Kharagpur, which organised GATE 2022. Range answers for numerical questions and questions with more than one accepted answer are kept exactly as the key gives them.

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