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GATE 2023 ME question paper PDF and answer key

The official GATE 2023 Mechanical Engineering paper, organised by IIT Kanpur: 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 Kanpur for GATE 2023 (official GATE site). Spotted a mistake? Email team@lemyte.com.

General Aptitude
10 · 15 marks
Mechanical Engineering
55 · 85 marks
MCQ / MSQ / NAT
32 / 8 / 25
Marks to all
Q 55

Where the marks were

GATE 2023 ME topic-wise marks

Mechanical Engineering questions only; General Aptitude adds 15 marks on top. The top three topics carried 39 of the 85 subject marks.

TopicQuestionsMarks
Mechanics of Materials1016
Manufacturing Engineering813
Fluid Mechanics610
Heat Transfer57
Thermodynamics47
Engineering Materials36
Calculus34
Industrial Engineering34
Theory of Machines34
Differential Equations24
Applied Mechanics23
Numerical Methods12
Probability and Statistics11
Machine Design11
Vibrations11
Linear Algebra11
Complex Variables11

Free solved questions

5 solved questions from GATE 2023 ME

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.

Q6 · General Aptitude · MCQ · 2 marks

In a recently held parent-teacher meeting, the teachers had very few complaints about Ravi. After all, Ravi was a hardworking and kind student. Incidentally, almost all of Ravi’s friends at school were hardworking and kind too. But the teachers drew attention to Ravi’s complete lack of interest in sports. The teachers believed that, along with some of his friends who showed similar disinterest in sports, Ravi needed to engage in some sports for his overall development.

Based only on the information provided above, which one of the following statements can be logically inferred with certainty?

  • (A)
    All of Ravi’s friends are hardworking and kind.
  • (B)
    No one who is not a friend of Ravi is hardworking and kind.
  • (C)
    None of Ravi’s friends are interested in sports.
  • (D)
    Some of Ravi’s friends are hardworking and kind.

Answer (official key): D

Solution

“Almost all” of Ravi’s friends being hardworking and kind guarantees that some are hardworking and kind. It does not establish that all are, exclude non-friends from having these qualities, or establish that none of his friends like sports. Therefore, D follows with certainty.

Q8 · General Aptitude · MCQ · 2 marks

Which one of the sentence sequences in the given options creates a coherent narrative?

(i) I could not bring myself to knock.

(ii) There was a murmur of unfamiliar voices coming from the big drawing room and the door was firmly shut.

(iii) The passage was dark for a bit, but then it suddenly opened into a bright kitchen.

(iv) I decided I would rather wander down the passage.

  • (A)
    (iv), (i), (iii), (ii)
  • (B)
    (iii), (i), (ii), (iv)
  • (C)
    (ii), (i), (iv), (iii)
  • (D)
    (i), (iii), (ii), (iv)

Answer (official key): C

Solution

Sentence (ii) introduces the shut door and unfamiliar voices, explaining the hesitation to knock in (i). The decision to walk down the passage in (iv) leads to the kitchen in (iii). The coherent sequence is (ii), (i), (iv), (iii), option C.

Q33 · Complex Variables · Numerical · 1 mark

The value of kk that makes the complex-valued function

f(z)=e−kx(cos⁡2y−isin⁡2y)f(z)=e^{-kx}(\cos2y-i\sin2y)

analytic, where z=x+iyz=x+iy, is _________.

(Answer in integer)

Answer (official key): 1.999 to 2.001

Solution

Let u=e−kxcos⁡2yu=e^{-kx}\cos2y and v=−e−kxsin⁡2yv=-e^{-kx}\sin2y. The Cauchy–Riemann equation ux=vyu_x=v_y gives −ke−kxcos⁡2y=−2e−kxcos⁡2y-ke^{-kx}\cos2y=-2e^{-kx}\cos2y, requiring k=2k=2. The other equation also holds for this value; indeed, f(z)=e−2zf(z)=e^{-2z} is analytic.

Q34 · Theory of Machines · Numerical · 1 mark

The braking system shown in the figure uses a belt to slow down a pulley rotating in the clockwise direction by the application of a force PP. The belt wraps around the pulley over an angle α=270\alpha = 270 degrees. The coefficient of friction between the belt and the pulley is 0.30.3. The influence of centrifugal forces on the belt is negligible.

During braking, the ratio of the tensions T1T_1 to T2T_2 in the belt is equal to __________. (Rounded off to two decimal places)

Take π=3.14\pi = 3.14.

Figure for GATE 2023 ME question 34 (Theory of Machines)

Answer (official key): 4.05 to 4.15

Solution

For the indicated rotation, T1T_1 is the tight-side tension. The belt-friction relation gives T1/T2=eμαT_1/T_2=e^{\mu\alpha}, with α=270π/180=4.71\alpha=270\pi/180=4.71 rad. Thus T1/T2=e0.3(4.71)=4.11T_1/T_2=e^{0.3(4.71)}=\boxed{4.11}.

Q46 · Mechanics of Materials · MSQ · 2 marks

Cylindrical bars P and Q have identical lengths and radii, but are composed of different linear elastic materials. The Young’s modulus and coefficient of thermal expansion of Q are twice the corresponding values of P. Assume the bars to be perfectly bonded at the interface, and their weights to be negligible.

The bars are held between rigid supports as shown in the figure and the temperature is raised by ΔT\Delta T. Assume that the stress in each bar is homogeneous and uniaxial. Denote the magnitudes of stress in P and Q by σ1\sigma_1 and σ2\sigma_2, respectively.

Which of the statement(s) given is/are CORRECT?

Figure for GATE 2023 ME question 46 (Mechanics of Materials)

  • (A)
    The interface between P and Q moves to the left after heating
  • (B)
    The interface between P and Q moves to the right after heating
  • (C)
    σ1<σ2\sigma_1<\sigma_2
  • (D)
    σ1=σ2\sigma_1=\sigma_2

Answer (official key): A, D

Solution

Equal cross-sectional areas and axial equilibrium give σ1=σ2=σ\sigma_1=\sigma_2=\sigma, so D is correct and C is wrong. Let P have properties E,αE,\alpha; Q then has 2E,2α2E,2\alpha. Zero total extension requires 3αΔT−σ(1/E+1/(2E))=03\alpha\Delta T-\sigma(1/E+1/(2E))=0, giving σ=2EαΔT\sigma=2E\alpha\Delta T. The extension of P is L(αΔT−σ/E)=−LαΔTL(\alpha\Delta T-\sigma/E)=-L\alpha\Delta T, so the interface moves left. Thus A is correct and B is wrong.

The other 60 questions are solved in your report when you take GATE 2023 ME as a 3-hour test.

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Official answer key

GATE 2023 ME answer key

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

Download the official GATE 2023 ME answer key (PDF)
QTopicTypeMarksAnswer
1Verbal AptitudeMCQ1A
2Verbal AptitudeMCQ1A
3Quantitative AptitudeMCQ1A
4Quantitative AptitudeMCQ1A
5Analytical AptitudeMCQ1B
6Verbal AptitudeMCQ2D
7Quantitative AptitudeMCQ2A
8Verbal AptitudeMCQ2C
9Quantitative AptitudeMCQ2A
10Spatial AptitudeMCQ2B
11Probability and StatisticsMCQ1A
12CalculusMCQ1B
13Industrial EngineeringMCQ1A
14Industrial EngineeringMCQ1B
15Manufacturing EngineeringMCQ1A
16Mechanics of MaterialsMCQ1A
17Applied MechanicsMCQ1C
18Machine DesignMCQ1D
19Fluid MechanicsMCQ1D
20Fluid MechanicsMCQ1C
21Heat TransferMCQ1A
22ThermodynamicsMCQ1B
23Manufacturing EngineeringMSQ1B, C
24Mechanics of MaterialsMSQ1C, D
25Manufacturing EngineeringMSQ1A, B, D
26Mechanics of MaterialsMSQ1B, C
27Mechanics of MaterialsMSQ1A, C
28Heat TransferMSQ1A, B
29Theory of MachinesNumerical195.999 to 96.001
30VibrationsNumerical16.27 to 6.29
31CalculusNumerical1-0.001 to 0.001
32Linear AlgebraNumerical118.8 to 18.9
33Complex VariablesNumerical11.999 to 2.001
34Theory of MachinesNumerical14.05 to 4.15
35Heat TransferNumerical19.999 to 10.001
36Differential EquationsMCQ2A
37Applied MechanicsMCQ2C
38Theory of MachinesMCQ2D
39Mechanics of MaterialsMCQ2B
40Mechanics of MaterialsMCQ2A
41ThermodynamicsMCQ2B
42ThermodynamicsMCQ2B
43Heat TransferMCQ2D
44Manufacturing EngineeringMCQ2B
45Manufacturing EngineeringMCQ2C
46Mechanics of MaterialsMSQ2A, D
47Heat TransferMSQ2A, C
48CalculusNumerical27.999 to 8.001
49Differential EquationsNumerical28.999 to 9.001
50Numerical MethodsNumerical20.999 to 1.001
51Engineering MaterialsNumerical22490 to 2510
52Engineering MaterialsNumerical20.53 to 0.55
53Industrial EngineeringNumerical216.4 to 16.6
54Manufacturing EngineeringNumerical24.999 to 5.001
55Manufacturing EngineeringNumerical2Marks to all
56Manufacturing EngineeringNumerical28.999 to 9.001
57Engineering MaterialsNumerical2206 to 207
58Mechanics of MaterialsNumerical23023.999 to 3024.001
59Mechanics of MaterialsNumerical22 to 2.16
60Mechanics of MaterialsNumerical2237 to 240
61ThermodynamicsNumerical23.9 to 4.1
62Fluid MechanicsNumerical283.999 to 84.001
63Fluid MechanicsNumerical21.1 to 1.2
64Fluid MechanicsNumerical255.9 to 58.5
65Fluid MechanicsNumerical20.39 to 0.41

Questions about GATE 2023 ME

How many questions are in the GATE 2023 ME paper?

65 questions for 100 marks: 10 General Aptitude questions worth 15 marks and 55 Mechanical Engineering questions worth 85 marks. By type, there were 32 MCQs, 8 MSQs, 25 numerical answer (NAT) questions. The paper lasted 3 hours.

Is there negative marking in GATE 2023 ME?

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 2023 ME?

Outside General Aptitude, the biggest topics were Mechanics of Materials (16 marks), Manufacturing Engineering (13 marks), Fluid Mechanics (10 marks). The full topic-wise split is in the table on this page.

Were any GATE 2023 ME questions awarded marks to all?

Yes. The official key awarded full marks to everyone for question 55.

Where does this GATE 2023 ME answer key come from?

From the official answer key published by IIT Kanpur, which organised GATE 2023. 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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