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GATE 2022 EC question paper PDF and answer key

The official GATE 2022 Electronics & Communication 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
Electronics & Communication Engineering
55 · 85 marks
MCQ / MSQ / NAT
33 / 14 / 18
Marks to all
Q 52

Where the marks were

GATE 2022 EC topic-wise marks

Electronics & Communication Engineering questions only; General Aptitude adds 15 marks on top. The top three topics carried 38 of the 85 subject marks.

TopicQuestionsMarks
Networks, Signals and Systems1015
Communications712
Electronic Devices811
Analog Circuits611
Control Systems58
Calculus47
Digital Circuits57
Electromagnetics46
Linear Algebra23
Probability and Statistics23
Differential Equations11
Complex Variables11

Free solved questions

5 solved questions from GATE 2022 EC

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

Mosquitoes pose a threat to human health. Controlling mosquitoes using chemicals may have undesired consequences. In Florida, authorities have used genetically modified mosquitoes to control the overall mosquito population. It remains to be seen if this novel approach has unforeseen consequences.

Which one of the following is the correct logical inference based on the information in the above passage?

  • (A)
    Using chemicals to kill mosquitoes is better than using genetically modified mosquitoes because genetic engineering is dangerous
  • (B)
    Using genetically modified mosquitoes is better than using chemicals to kill mosquitoes because they do not have any side effects
  • (C)
    Both using genetically modified mosquitoes and chemicals have undesired consequences and can be dangerous
  • (D)
    Using chemicals to kill mosquitoes may have undesired consequences but it is not clear if using genetically modified mosquitoes has any negative consequence

Answer (official key): D

Solution

The passage says chemicals may have undesired consequences, and that it "remains to be seen" whether GM mosquitoes do. Option (D) restates exactly this. The others claim more than the passage supports.

Q9 · General Aptitude · MCQ · 2 marks

In a class of five students P, Q, R, S and T, only one student is known to have copied in the exam. The disciplinary committee has investigated the situation and recorded the statements from the students as given below.

Statement of P: R has copied in the exam. Statement of Q: S has copied in the exam. Statement of R: P did not copy in the exam. Statement of S: Only one of us is telling the truth. Statement of T: R is telling the truth.

The investigating team had authentic information that S never lies.

Based on the information given above, the person who has copied in the exam is

  • (A)
    R
  • (B)
    P
  • (C)
    Q
  • (D)
    T

Answer (official key): B

Solution

S never lies, so S is the only truthful student and everyone else is lying.

  • R's statement is false, so P did copy.
  • This is consistent: P's claim (R copied) and Q's claim (S copied) are false, and T is wrong about R.

The copier is P.

Q42 · Analog Circuits · MCQ · 2 marks

A circuit with an ideal OPAMP is shown. The Bode plot for the magnitude (in dB) of the gain transfer function (AV(jω)=Vout(jω)/Vin(jω))(A_V(j\omega) = V_{out}(j\omega)/V_{in}(j\omega)) of the circuit is also provided (here, ω\omega is the angular frequency in rad/s). The values of RR and CC are ________.

Figure for GATE 2022 EC question 42 (Analog Circuits)

  • (A)
    R=3R = 3 kΩ, C=1C = 1 µF
  • (B)
    R=1R = 1 kΩ, C=3C = 3 µF
  • (C)
    R=4R = 4 kΩ, C=1C = 1 µF
  • (D)
    R=3R = 3 kΩ, C=2C = 2 µF

Answer (official key): A

Solution

The input RC low-pass (1 kΩ, C) feeds a non-inverting amplifier of gain 1+R1k1 + \frac{R}{1\text{k}}.

  • The DC gain is 12 dB ≈4\approx 4, so R=3R = 3 kΩ.
  • The corner at log⁡10ω=3\log_{10}\omega = 3 gives 1(1k)C=103\frac{1}{(1\text{k})C} = 10^3, so C=1C = 1 µF.

Q45 · Calculus · MSQ · 2 marks

Consider the following series:

∑n=1∞ndcn\sum_{n=1}^{\infty}\frac{n^d}{c^n}

For which of the following combinations of c,dc, d values does this series converge?

  • (A)
    c=1, d=−1c = 1,\ d = -1
  • (B)
    c=2, d=1c = 2,\ d = 1
  • (C)
    c=0.5, d=−10c = 0.5,\ d = -10
  • (D)
    c=1, d=−2c = 1,\ d = -2

Answer (official key): B, D

Solution

  • c>1c > 1 converges for any dd (ratio test), so (B) converges.
  • c=1c = 1 gives a pp-series in −d-d: d=−1d = -1 diverges (harmonic), d=−2d = -2 converges.
  • c<1c < 1 grows geometrically, so (C) diverges.

Q53 · Calculus · Numerical · 2 marks

The value of the integral

∬D3(x2+y2) dx dy,\iint_D 3(x^2 + y^2)\,dx\,dy,

where DD is the shaded triangular region shown in the diagram, is ______ (rounded off to the nearest integer).

Figure for GATE 2022 EC question 53 (Calculus)

Answer (official key): 512

Solution

DD has 0≤x≤40 \le x \le 4 and −x≤y≤x-x \le y \le x: ∫04∫−xx3(x2+y2) dy dx=∫043(2x3+2x33)dx=∫048x3 dx=512\int_0^4\int_{-x}^{x} 3(x^2 + y^2)\,dy\,dx = \int_0^4 3\left(2x^3 + \frac{2x^3}{3}\right)dx = \int_0^4 8x^3\,dx = 512

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

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Official answer key

GATE 2022 EC 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 EC answer key (PDF)
QTopicTypeMarksAnswer
1Verbal AptitudeMCQ1C
2Quantitative AptitudeMCQ1D
3Spatial AptitudeMCQ1B
4Spatial AptitudeMCQ1B
5Spatial AptitudeMCQ1C
6Analytical AptitudeMCQ2D
7Quantitative AptitudeMCQ2C
8Spatial AptitudeMCQ2C
9Analytical AptitudeMCQ2B
10Spatial AptitudeMCQ2B
11CalculusMCQ1A
12Linear AlgebraMCQ1C
13Networks, Signals and SystemsMCQ1B
14Networks, Signals and SystemsMCQ1B
15Networks, Signals and SystemsMCQ1A
16Electronic DevicesMCQ1A
17Electronic DevicesMCQ1C
18Electronic DevicesMCQ1C
19Digital CircuitsMCQ1C
20Electronic DevicesMCQ1C
21Control SystemsMCQ1C
22Control SystemsMCQ1A
23Networks, Signals and SystemsMCQ1C
24ElectromagneticsMCQ1C
25Differential EquationsMSQ1A, B
26Analog CircuitsMSQ1B, C
27Digital CircuitsMSQ1B, C
28Digital CircuitsMSQ1C
29CommunicationsMSQ1A, B, D
30ElectromagneticsMSQ1A, C
31Probability and StatisticsNumerical14
32Complex VariablesNumerical10.5
33Networks, Signals and SystemsNumerical10
34Electronic DevicesNumerical15.5 to 5.7
35CommunicationsNumerical12.99 to 3.01
36CalculusMCQ2B
37Linear AlgebraMCQ2A
38Networks, Signals and SystemsMCQ2A
39Networks, Signals and SystemsMCQ2B
40Electronic DevicesMCQ2C
41Analog CircuitsMCQ2C
42Analog CircuitsMCQ2A
43Digital CircuitsMCQ2A
44Control SystemsMCQ2A
45CalculusMSQ2B, D
46Networks, Signals and SystemsMSQ2C, D
47Electronic DevicesMSQ2A, C
48Probability and StatisticsMSQ2A, C
49Digital CircuitsMSQ2A, C
50Control SystemsMSQ2A
51CommunicationsMSQ2A
52ElectromagneticsMSQ2Marks to all
53CalculusNumerical2512
54Networks, Signals and SystemsNumerical23.9 to 4.1
55Networks, Signals and SystemsNumerical27.9 to 8.1
56Electronic DevicesNumerical20.57 to 0.61
57Analog CircuitsNumerical20.7 to 0.8
58Analog CircuitsNumerical2-0.55 to -0.45
59Analog CircuitsNumerical2-2.1 to -1.9
60Control SystemsNumerical2-0.11 to -0.09
61CommunicationsNumerical21
62CommunicationsNumerical20.84 to 0.86
63CommunicationsNumerical20.22 to 0.25
64CommunicationsNumerical21.15 to 1.18
65ElectromagneticsNumerical20.48 to 0.52

Questions about GATE 2022 EC

How many questions are in the GATE 2022 EC paper?

65 questions for 100 marks: 10 General Aptitude questions worth 15 marks and 55 Electronics & Communication Engineering questions worth 85 marks. By type, there were 33 MCQs, 14 MSQs, 18 numerical answer (NAT) questions. The paper lasted 3 hours.

Is there negative marking in GATE 2022 EC?

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 EC?

Outside General Aptitude, the biggest topics were Networks, Signals and Systems (15 marks), Communications (12 marks), Electronic Devices (11 marks). The full topic-wise split is in the table on this page.

Were any GATE 2022 EC questions awarded marks to all?

Yes. The official key awarded full marks to everyone for question 52.

Where does this GATE 2022 EC 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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