GATE 2025 EE question paper PDF and answer key

The official GATE 2025 Electrical Engineering paper, organised by IIT Roorkee: 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.

Take this paper as a timed test Try the free demo

Question paper (PDF)Official answer key (PDF)

Source: the official paper and answer key published by IIT Roorkee for GATE 2025 (official GATE site). Spotted a mistake? Email team@lemyte.com.

General Aptitude: 10 · 15 marks
Electrical Engineering: 55 · 85 marks
MCQ / MSQ / NAT: 42 / 4 / 19
Marks to all: None

Where the marks were

GATE 2025 EE topic-wise marks

Electrical Engineering questions only; General Aptitude adds 15 marks on top. The top three topics carried 28 of the 85 subject marks.

Topic	Questions	Marks
Power Electronics	6	10
Signals and Systems	6	9
Control Systems	6	9
Power Systems	6	9
Electrical Machines	6	9
Analog and Digital Electronics	5	8
Electric Circuits	5	8
Electromagnetic Fields	3	5
Electrical and Electronic Measurements	3	5
Calculus	2	3
Linear Algebra	3	3
Probability and Statistics	2	3
Differential Equations	1	2
Complex Variables	1	2

Free solved questions

5 solved questions from GATE 2025 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.

Q4 · General Aptitude · MCQ · 1 mark

Each row of Column-I has three items and each item is represented by a circle in Column-II. The arrangement of circles in Column-II represents the relationship among the items in Column-I.

Identify the option that has the most appropriate match between Column-I and Column-II.

Note: The figures shown are representative.

	Column-I
(1)	Animals, Zebra, Giraffe
(2)	Director, Producer, Actor
(3)	Word, Sentence, Novel
(4)	Pianist, Guitarist, Instrumentalist

Figure for GATE 2025 EE question 4 (Analytical Aptitude)

(A)
(1) – (Q); (2) – (P); (3) – (S); (4) – (R)
(B)
(1) – (Q); (2) – (R); (3) – (S); (4) – (P)
(C)
(1) – (S); (2) – (P); (3) – (R); (4) – (Q)
(D)
(1) – (R); (2) – (S); (3) – (Q); (4) – (P)

Answer (official key): B

Solution

(1) Zebra and giraffe are separate kinds inside animals: Q (two disjoint circles in a big one).
(2) A person can be any combination of director, producer and actor: R (three overlapping circles).
(3) Word ⊂ sentence ⊂ novel: S (nested circles).
(4) Pianist and guitarist overlap, both inside instrumentalist: P.

Q10 · General Aptitude · MCQ · 2 marks

In the triangle PQR, the lengths of PT and TR are in the ratio of 3:2.

ST is parallel to QR. Two semicircles are drawn with PS and PQ as diameters, as shown in the figure.

Which one of the following statements is true about the shaded area PQS?

Note: The figure shown is representative.

Figure for GATE 2025 EE question 10 (Spatial Aptitude)

(A)
The shaded area is $\frac{16}{9}$ times the area of the semicircle with the diameter PS.
(B)
The shaded area is equal to the area of the semicircle with the diameter PS.
(C)
The shaded area is $\frac{14}{9}$ times the area of the semicircle with the diameter PS.
(D)
The shaded area is $\frac{14}{25}$ times the area of the semicircle with the diameter PQ.

Answer (official key): A

Solution

$ST \parallel QR$ gives $\frac{PS}{PQ} = \frac{PT}{PR} = \frac{3}{5}$ . Areas scale with the square of the diameter: $\text{shaded} = \text{semicircle}(PQ) - \text{semicircle}(PS) = \left(\frac{25}{9} - 1\right)\text{semicircle}(PS) = \frac{16}{9}\,\text{semicircle}(PS)$

Q39 · Electric Circuits · MCQ · 2 marks

In the circuit, shown below, if the values of R and C are very large, the form of the output voltage for a very high frequency square wave input, is best represented by

Figure for GATE 2025 EE question 39 (Electric Circuits)

Answer (official key): C

Solution

With $RC$ much longer than the period, the RC low-pass acts as an integrator. The ±1 V square wave becomes a small triangular wave centred at 0, far below ±1 V: option (C).

Q51 · Electromagnetic Fields · MSQ · 2 marks

Let $\boldsymbol{a_R}$ be the unit radial vector in the spherical co-ordinate system. For which of the following value(s) of $n$ , the divergence of the radial vector field $\boldsymbol{f(R)} = \boldsymbol{a_R}\dfrac{1}{R^n}$ is independent of $R$ ?

(A)
−2
(B)
−1
(C)
1
(D)
2

Answer (official key): B, D

Solution

$\nabla\cdot\boldsymbol{f} = \frac{1}{R^2}\frac{d}{dR}\left(R^{2 - n}\right) = (2 - n)R^{-n-1}$ This is independent of $R$ when $n = -1$ (value 3) or $n = 2$ (value 0).

Q53 · Calculus · Numerical · 2 marks

Let $(x, y) \in \mathbb{R}^2$ . The rate of change of the real valued function,

$V(x, y) = x^2 + x + y^2 + 1$

at the origin in the direction of the point (1,2) is ________ (round off to the nearest integer).

Answer (official key): 0 to 1

Solution

$\nabla V = (2x + 1, 2y) = (1, 0)$ at the origin, and the unit direction is $\frac{(1, 2)}{\sqrt{5}}$ . The rate is $\frac{1}{\sqrt{5}} \approx 0.45$ , which rounds to 0 (official range 0 to 1).

The other 60 questions are solved in your report when you take GATE 2025 EE as a 3-hour test.

Take GATE 2025 EE as a test

Official answer key

GATE 2025 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 2025 EE answer key (PDF)

Q	Topic	Type	Marks	Answer
1	Verbal Aptitude	MCQ	1	D
2	Verbal Aptitude	MCQ	1	A
3	Quantitative Aptitude	MCQ	1	A
4	Analytical Aptitude	MCQ	1	B
5	Quantitative Aptitude	MCQ	1	C
6	Verbal Aptitude	MCQ	2	C
7	Analytical Aptitude	MCQ	2	C
8	Quantitative Aptitude	MCQ	2	B
9	Spatial Aptitude	MCQ	2	C
10	Spatial Aptitude	MCQ	2	A
11	Calculus	MCQ	1	B
12	Linear Algebra	MCQ	1	B
13	Linear Algebra	MCQ	1	B
14	Linear Algebra	MCQ	1	A
15	Probability and Statistics	MCQ	1	B
16	Analog and Digital Electronics	MCQ	1	C
17	Analog and Digital Electronics	MCQ	1	D
18	Electric Circuits	MCQ	1	B
19	Electric Circuits	MCQ	1	B
20	Signals and Systems	MCQ	1	A
21	Signals and Systems	MCQ	1	A
22	Control Systems	MCQ	1	B
23	Control Systems	MCQ	1	D
24	Power Systems	MCQ	1	A
25	Electromagnetic Fields	MCQ	1	C
26	Electrical Machines	MCQ	1	A
27	Power Electronics	MCQ	1	A
28	Electrical Machines	MSQ	1	A, C
29	Control Systems	MSQ	1	A, C
30	Signals and Systems	Numerical	1	7
31	Electrical and Electronic Measurements	Numerical	1	5
32	Power Systems	Numerical	1	0.975 to 0.985
33	Power Systems	Numerical	1	0.38 to 0.4
34	Power Electronics	Numerical	1	90
35	Electrical Machines	Numerical	1	66.25 to 66.75
36	Probability and Statistics	MCQ	2	A
37	Analog and Digital Electronics	MCQ	2	A
38	Analog and Digital Electronics	MCQ	2	C
39	Electric Circuits	MCQ	2	C
40	Signals and Systems	MCQ	2	A
41	Control Systems	MCQ	2	B
42	Signals and Systems	MCQ	2	B
43	Electrical Machines	MCQ	2	A
44	Electrical Machines	MCQ	2	A
45	Electrical Machines	MCQ	2	C
46	Power Electronics	MCQ	2	A
47	Power Electronics	MCQ	2	A
48	Power Electronics	MCQ	2	A
49	Power Systems	MCQ	2	B
50	Electromagnetic Fields	MCQ	2	C
51	Electromagnetic Fields	MSQ	2	B, D
52	Electric Circuits	MSQ	2	A, D
53	Calculus	Numerical	2	0 to 1
54	Differential Equations	Numerical	2	2
55	Complex Variables	Numerical	2	0
56	Analog and Digital Electronics	Numerical	2	2
57	Electric Circuits	Numerical	2	4 to 4.2
58	Electrical and Electronic Measurements	Numerical	2	78 to 81
59	Electrical and Electronic Measurements	Numerical	2	-2 to -1.94 or 1.94 to 2
60	Power Electronics	Numerical	2	1.7 to 1.9
61	Signals and Systems	Numerical	2	200
62	Control Systems	Numerical	2	3
63	Power Systems	Numerical	2	8.5 to 10
64	Power Systems	Numerical	2	216
65	Control Systems	Numerical	2	0.1

Questions about GATE 2025 EE

How many questions are in the GATE 2025 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 42 MCQs, 4 MSQs, 19 numerical answer (NAT) questions. The paper lasted 3 hours.

Is there negative marking in GATE 2025 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 2025 EE?

Outside General Aptitude, the biggest topics were Power Electronics (10 marks), Signals and Systems (9 marks), Control Systems (9 marks). The full topic-wise split is in the table on this page.

Were any GATE 2025 EE questions awarded marks to all?

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

Where does this GATE 2025 EE answer key come from?

From the official answer key published by IIT Roorkee, which organised GATE 2025. Range answers for numerical questions and questions with more than one accepted answer are kept exactly as the key gives them.

Other GATE EE papers

GATE EE topic-wise weightage and 2027 syllabus

Other GATE 2025 papers

GATE 2027 dates and syllabus changes

GATE 2025 EE question paper PDF and answer key

GATE 2025 EE topic-wise marks

5 solved questions from GATE 2025 EE

GATE 2025 EE answer key

Questions about GATE 2025 EE

How many questions are in the GATE 2025 EE paper?

Is there negative marking in GATE 2025 EE?

Which topics carried the most marks in GATE 2025 EE?

Were any GATE 2025 EE questions awarded marks to all?

Where does this GATE 2025 EE answer key come from?

More GATE papers