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GATE 2023 EE question paper PDF and answer key

The official GATE 2023 Electrical 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
Electrical Engineering
55 · 85 marks
MCQ / MSQ / NAT
31 / 6 / 28
Marks to all
Q 43

Where the marks were

GATE 2023 EE topic-wise marks

Electrical Engineering questions only; General Aptitude adds 15 marks on top. The top three topics carried 33 of the 85 subject marks.

TopicQuestionsMarks
Analog and Digital Electronics612
Signals and Systems811
Electrical Machines710
Power Systems710
Control Systems69
Electric Circuits58
Power Electronics46
Calculus36
Electromagnetic Fields24
Linear Algebra33
Probability and Statistics23
Electrical and Electronic Measurements12
Differential Equations11

Free solved questions

5 solved questions from GATE 2023 EE

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

Students of all the departments of a college who have successfully completed the registration process are eligible to vote in the upcoming college elections. However, by the time the due date for registration was over, it was found that surprisingly none of the students from the Department of Human Sciences had completed the registration process.

Based only on the information provided above, which one of the following sets of statement(s) can be logically inferred with certainty?

(i) All those students who would not be eligible to vote in the college elections would certainly belong to the Department of Human Sciences. (ii) None of the students from departments other than Human Sciences failed to complete the registration process within the due time. (iii) All the eligible voters would certainly be students who are not from the Department of Human Sciences.

  • (A)
    (i) and (ii)
  • (B)
    (i) and (iii)
  • (C)
    only (i)
  • (D)
    only (iii)

Answer (official key): D

Solution

No Human Sciences student registered, so none of them is eligible, and every eligible voter is from another department: (iii) is certain. Students of other departments may also have failed to register, so (i) and (ii) do not follow.

Q7 · General Aptitude · MCQ · 2 marks

Which one of the following options represents the given graph?

Figure for GATE 2023 EE question 7 (Quantitative Aptitude)

  • (A)
    f(x)=x22−∣x∣f(x) = x^2 2^{-|x|}
  • (B)
    f(x)=x 2−∣x∣f(x) = x\,2^{-|x|}
  • (C)
    f(x)=∣x∣ 2−xf(x) = |x|\,2^{-x}
  • (D)
    f(x)=x 2−xf(x) = x\,2^{-x}

Answer (official key): B

Solution

The graph is odd (negative for x<0x < 0, positive for x>0x > 0), passes through 0, and decays on both sides.

  • (A) is even.
  • (C) is never negative.
  • (D) blows up as x→−∞x \to -\infty.

Only x 2−∣x∣x\,2^{-|x|} fits.

Q39 · Electrical and Electronic Measurements · MCQ · 2 marks

A 3-phase, star-connected, balanced load is supplied from a 3-phase, 400 V (rms), balanced voltage source with phase sequence R-Y-B, as shown in the figure. If the wattmeter reading is −400 W and the line current is IR=2I_R = 2 A (rms), then the power factor of the load per phase is

Figure for GATE 2023 EE question 39 (Electrical and Electronic Measurements)

  • (A)
    Unity
  • (B)
    0.5 leading
  • (C)
    0.866 leading
  • (D)
    0.707 lagging

Answer (official key): C

Solution

The current coil is in line R and the pressure coil across Y–B. VYBV_{YB} is in quadrature with VRV_R, so W=VLILsin⁡ϕ=400×2sin⁡ϕW = V_LI_L\sin\phi = 400 \times 2\sin\phi ∣W∣=400|W| = 400 gives sin⁡ϕ=0.5\sin\phi = 0.5, i.e. cos⁡ϕ=0.866\cos\phi = 0.866. The negative reading indicates a leading load.

Q42 · Calculus · MSQ · 2 marks

Consider the following equation in a 2-D real-space.

∣x1∣p+∣x2∣p=1 for p>0|x_1|^p + |x_2|^p = 1 \text{ for } p > 0

Which of the following statement(s) is/are true.

  • (A)
    When p=2p = 2, the area enclosed by the curve is π\pi.
  • (B)
    When pp tends to ∞\infty, the area enclosed by the curve tends to 4.
  • (C)
    When pp tends to 0, the area enclosed by the curve is 1.
  • (D)
    When p=1p = 1, the area enclosed by the curve is 2.

Answer (official key): A, B, D

Solution

  • p=2p = 2 gives the unit circle (area π\pi).
  • p→∞p \to \infty gives the square ∣xi∣≤1|x_i| \le 1 (area 4).
  • p=1p = 1 gives a diamond (area 2).
  • (C) is false: as p→0p \to 0 the curve collapses onto the axes, so the area tends to 0.

Q47 · Electrical Machines · Numerical · 2 marks

A three-phase synchronous motor with synchronous impedance of 0.1+j0.3 per unit per phase has a static stability limit of 2.5 per unit. The corresponding excitation voltage in per unit is ___________ (Round off to 2 decimal places).

Answer (official key): 1.58 to 1.59

Solution

The maximum mechanical power of a motor with Zs=R+jXZ_s = R + jX (V=1V = 1): Pmax=EVZs−E2RZs2,Zs=0.3162, RZs2=1P_{max} = \frac{EV}{Z_s} - \frac{E^2R}{Z_s^2}, \qquad Z_s = 0.3162,\ \frac{R}{Z_s^2} = 1 2.5=3.162E−E2⇒E=1.58 p.u.2.5 = 3.162E - E^2 \Rightarrow E = 1.58\ \text{p.u.} (The discriminant is zero.)

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

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Official answer key

GATE 2023 EE 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 EE answer key (PDF)
QTopicTypeMarksAnswer
1Verbal AptitudeMCQ1D
2Verbal AptitudeMCQ1B
3Quantitative AptitudeMCQ1A
4Analytical AptitudeMCQ1B
5Spatial AptitudeMCQ1C
6Analytical AptitudeMCQ2D
7Quantitative AptitudeMCQ2B
8Verbal AptitudeMCQ2D
9Quantitative AptitudeMCQ2A
10Spatial AptitudeMCQ2B
11Linear AlgebraMCQ1D
12Control SystemsMCQ1B
13Control SystemsMCQ1C
14Control SystemsMCQ1D
15Electrical MachinesMCQ1A
16Electrical MachinesMCQ1B
17Signals and SystemsMCQ1C
18Signals and SystemsMCQ1A
19Signals and SystemsMCQ1B
20Power SystemsMCQ1A
21Power SystemsMCQ1A
22Electrical MachinesMCQ1D
23Power ElectronicsMCQ1B
24Linear AlgebraMCQ1A
25Probability and StatisticsMCQ1C
26Power ElectronicsMSQ1A, D
27Signals and SystemsMSQ1B
28Power SystemsMSQ1A, C
29Electric CircuitsNumerical17.9 to 8.1
30Electrical MachinesNumerical11340 to 1345
31Signals and SystemsNumerical14
32Electric CircuitsNumerical15.9 to 6.1
33Power SystemsNumerical183 to 84
34Differential EquationsNumerical10.48 to 0.52
35Linear AlgebraNumerical10.9 to 1.1
36Control SystemsMCQ2D
37Analog and Digital ElectronicsMCQ2D
38Control SystemsMCQ2B
39Electrical and Electronic MeasurementsMCQ2C
40Analog and Digital ElectronicsMCQ2C
41Power SystemsMCQ2D
42CalculusMSQ2A, B, D
43Electromagnetic FieldsMSQ2Marks to all
44Analog and Digital ElectronicsMSQ2B, C
45Probability and StatisticsNumerical20.187 to 0.188
46Control SystemsNumerical22
47Electrical MachinesNumerical21.58 to 1.59
48Electrical MachinesNumerical2760
49Signals and SystemsNumerical248
50Signals and SystemsNumerical20.037 to 0.039
51Electric CircuitsNumerical2-12.1 to -11.9
52Electric CircuitsNumerical2237 to 239
53Electrical MachinesNumerical22150 to 2250
54Electric CircuitsNumerical21.56 to 1.58
55Power ElectronicsNumerical27.1 to 7.5
56Analog and Digital ElectronicsNumerical28
57Analog and Digital ElectronicsNumerical22
58Power ElectronicsNumerical239 to 40.5
59Analog and Digital ElectronicsNumerical2245 to 255
60Power SystemsNumerical27.1 to 7.3
61Electromagnetic FieldsNumerical22.49 to 2.51
62CalculusNumerical29 to 10
63Signals and SystemsNumerical280
64Power SystemsNumerical2414 to 416
65CalculusNumerical210

Questions about GATE 2023 EE

How many questions are in the GATE 2023 EE paper?

65 questions for 100 marks: 10 General Aptitude questions worth 15 marks and 55 Electrical Engineering questions worth 85 marks. By type, there were 31 MCQs, 6 MSQs, 28 numerical answer (NAT) questions. The paper lasted 3 hours.

Is there negative marking in GATE 2023 EE?

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 EE?

Outside General Aptitude, the biggest topics were Analog and Digital Electronics (12 marks), Signals and Systems (11 marks), Electrical Machines (10 marks). The full topic-wise split is in the table on this page.

Were any GATE 2023 EE questions awarded marks to all?

Yes. The official key awarded full marks to everyone for question 43.

Where does this GATE 2023 EE 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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