100+ Free GATE EE Practice Questions

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Question 1

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According to the Nyquist sampling theorem, a band-limited signal with maximum frequency f_m can be perfectly reconstructed if the sampling frequency f_s satisfies:

f_s = f_m

f_s ≤ f_m/2

f_s = f_m/2

f_s ≥ 2f_m

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2026 Statistics

Key Facts: GATE EE Exam

65 questions / 100 marks

GATE EE paper structure (GA 15 + Eng Math 13 + EE subject 72)

GATE 2026 Information Brochure (gate2026.iitg.ac.in)

180 minutes

Total exam time (computer-based)

GATE 2026 Information Brochure

−1/3 and −2/3

Negative marking for wrong 1-mark and 2-mark MCQs (no negative for MSQ/NAT)

GATE 2026 Information Brochure

INR 1000-2000

GATE 2026 application fee (regular window)

GATE 2026 official notification

100

Free practice questions here

OpenExamPrep

GATE EE is a 3-hour CBT with 65 questions for 100 marks: 15 GA + 13 Engineering Mathematics + 72 EE subject. Negative marking applies only to MCQs (−1/3 for 1-mark, −2/3 for 2-mark). Score is used by IITs/NITs for MTech and by PSUs for direct recruitment.

Sample GATE EE Practice Questions

Try these sample questions to test your GATE EE exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1If the average of five consecutive odd numbers is 27, what is the largest number?

A.29

B.31

C.33

D.35

Explanation: For five consecutive odd numbers, the average equals the middle (third) number. So the third number is 27, giving the sequence 23, 25, 27, 29, 31. The largest is 31.

2Choose the word that is most nearly OPPOSITE in meaning to 'lucid'.

A.Clear

B.Obscure

C.Bright

D.Transparent

Explanation: Lucid means clear, easily understood, or transparent. Its antonym is obscure, meaning unclear, hidden, or difficult to understand. GATE verbal aptitude regularly tests synonym/antonym pairs from a standard English vocabulary.

3A train 150 m long crosses a platform 250 m long in 20 seconds. What is the speed of the train in km/h?

A.54

B.60

C.72

D.80

Explanation: Total distance covered while crossing the platform equals train length plus platform length: 150 + 250 = 400 m. Speed = 400/20 = 20 m/s. Converting: 20 × 18/5 = 72 km/h.

4In the sequence 2, 6, 12, 20, 30, ..., what is the next term?

A.36

B.40

C.42

D.44

Explanation: The differences between successive terms are 4, 6, 8, 10, so the next difference is 12. Adding 12 to 30 gives 42. Equivalently, the n-th term is n(n+1): 1·2, 2·3, 3·4, 4·5, 5·6, 6·7 = 42.

5If 'PAPER' is coded as 'QBQFS' in a certain code, how is 'PENCIL' coded?

A.QFODJM

B.QFOEJM

C.QFOCJM

D.QFODKM

Explanation: Each letter is shifted forward by one position in the alphabet. PAPER → QBQFS confirms shift +1. Applying to PENCIL: P→Q, E→F, N→O, C→D, I→J, L→M, giving QFODJM.

6A shopkeeper marks an item 40% above cost price and offers a 20% discount on the marked price. What is the profit percentage?

A.8%

B.12%

C.15%

D.20%

Explanation: Let cost price be 100. Marked price = 140. After 20% discount, selling price = 140 × 0.8 = 112. Profit = 112 − 100 = 12, so profit percentage = 12%.

7Select the most appropriate option to complete: 'The committee, along with its chairman, ___ decided to postpone the meeting.'

A.have

B.has

C.are

D.were

Explanation: The subject 'committee' is singular (treated as a collective unit), and the phrase 'along with its chairman' does not change the grammatical number of the subject. A singular subject takes a singular verb: 'has'.

8Two pipes A and B fill a tank in 12 and 18 hours respectively. If both pipes are opened together, in how many hours will the tank be full?

A.6.6 hours

B.7.2 hours

C.8.0 hours

D.9.0 hours

Explanation: Pipe A fills 1/12 of the tank per hour and pipe B fills 1/18 per hour. Combined rate = 1/12 + 1/18 = 3/36 + 2/36 = 5/36 per hour. Time = 36/5 = 7.2 hours.

9The cost of 5 pens and 3 books is Rs. 290. The cost of 3 pens and 5 books is Rs. 350. Find the cost of one book.

A.Rs. 40

B.Rs. 45

C.Rs. 50

D.Rs. 55

Explanation: Let p = pen cost and b = book cost. Then 5p + 3b = 290 and 3p + 5b = 350. Adding: 8p + 8b = 640 → p + b = 80. Subtracting the first equation from the second: −2p + 2b = 60 → b − p = 30. Solving with p + b = 80 gives b = 55 and p = 25. Verify: 5(25) + 3(55) = 125 + 165 = 290 ✓ and 3(25) + 5(55) = 75 + 275 = 350 ✓.

10If log₁₀(2) = 0.301 and log₁₀(3) = 0.477, what is log₁₀(72)?

A.1.857

B.1.778

C.1.681

D.1.602

Explanation: 72 = 2³ × 3². So log₁₀(72) = 3·log₁₀(2) + 2·log₁₀(3) = 3(0.301) + 2(0.477) = 0.903 + 0.954 = 1.857.

About the GATE EE Exam

GATE Electrical Engineering (EE) is the national-level entrance test for postgraduate engineering admission and PSU recruitment in India, jointly administered by IISc Bangalore and seven IITs. GATE 2026 is organised by IIT Guwahati. The Computer-Based Test runs for 3 hours and contains 65 questions for 100 marks — 15 marks of General Aptitude common to all GATE papers, plus 85 marks split between Engineering Mathematics (~13 marks) and the EE-specific subject (~72 marks). Questions come in three formats: MCQ (one correct, with negative marking), MSQ (multiple correct, no negative marking), and NAT (numerical answer, no negative marking). GATE scores are used by IITs, NITs, IIITs, and CFTIs for MTech/PhD admission and by major PSUs (POWERGRID, NTPC, IOCL, BHEL, GAIL, BPCL, and others) for direct recruitment of Executive Trainees.

Questions

100 scored questions

Time Limit

180 minutes (3 hours)

Passing Score

Qualifying marks vary annually (~25 marks or μ+σ); 90+ percentile typically needed for top PSU recruitment and IIT MTech admission

Exam Fee

INR 1000 (Female/SC/ST/PwD); INR 2000 (Others) for GATE 2026 (IIT Guwahati for GATE 2026 (organising institute rotates among IISc Bangalore and 7 IITs))

GATE EE Exam Content Outline

15%

General Aptitude (GA)

Verbal aptitude (grammar, synonyms/antonyms, instruction comprehension), quantitative aptitude (numerical computation, percentages, ratios, speed/time/work, geometry), analytical and spatial aptitude (logic, data interpretation, pattern recognition). Common to all GATE papers.

~13%

Engineering Mathematics

Linear algebra (matrices, eigenvalues, rank, systems of equations), calculus (limits, continuity, differentiation, integration, multivariable), differential equations (first and second order), complex variables, probability and statistics, numerical methods (Newton-Raphson, trapezoidal, Simpson), transform theory (Laplace and Fourier).

~8%

Electric Circuits

Network elements (R, L, C, M, mutual coupling, ideal sources); KCL/KVL, node/mesh analysis, superposition, Thevenin/Norton, maximum power transfer; first- and second-order transient analysis; sinusoidal steady state (phasors, complex power, RMS); three-phase balanced and unbalanced circuits.

~6%

Electromagnetic Fields

Coulomb's law, Gauss's law, electric flux density, potential; capacitance of parallel-plate/coaxial geometries; magnetic field due to current (Biot-Savart, Ampere); self and mutual inductance; Faraday's law; Maxwell's equations (integral and differential forms).

~8%

Signals and Systems

Continuous and discrete LTI systems, impulse response, convolution; Laplace, continuous- and discrete-time Fourier, and Z-transforms with ROC; sampling theorem and aliasing; DFT and FFT; system properties (causality, stability, time-invariance, linearity).

~12%

Electrical Machines

Single-phase transformer (equivalent circuit, regulation, efficiency, OC/SC tests, auto-transformer); three-phase transformer connections (Y, Δ, Y-Δ, parallel operation); DC machines (motors and generators, characteristics, speed control); three-phase induction motors (slip, torque-slip, equivalent circuit, starting); synchronous machines (cylindrical and salient pole, performance, parallel operation); single-phase motors.

~12%

Power Systems

Power generation concepts; transmission line models (short, medium, long); per-unit system; load flow (Gauss-Seidel, Newton-Raphson basics); symmetrical components; symmetrical and unsymmetrical fault analysis; transient and steady-state stability (swing equation, equal-area criterion); voltage and frequency control (AVR, AGC, governors); HVDC and FACTS devices.

~8%

Control Systems

Transfer functions, block diagram reduction, signal flow graphs (Mason's gain rule); time response of first- and second-order systems; stability (Routh-Hurwitz, root locus, Nyquist, Bode); lead/lag/PID compensators; gain and phase margins; state-space representation; controllability and observability.

~5%

Electrical and Electronic Measurements

DC and AC bridges (Wheatstone, Kelvin, Maxwell, Hay, Schering); measurement of voltage, current, power (one- and two-wattmeter methods), energy, power factor; instrument transformers (CT, PT); digital voltmeters; CRO and DSO basics; transducers (RTD, thermocouple, LVDT, strain gauge).

~7%

Analog and Digital Electronics

Op-amp characteristics and applications (inverting/non-inverting, integrator, differentiator, comparator, instrumentation amp); logic gates and Boolean algebra; combinational circuits (MUX, decoder, encoder); sequential circuits (latches, flip-flops, counters, registers); ADC and DAC architectures; 8085 microprocessor — architecture, instruction set, programming.

~6%

Power Electronics

Power semiconductor devices (diodes, MOSFETs, IGBTs, BJTs, thyristors/SCRs, TRIACs); single- and three-phase uncontrolled and controlled rectifiers; DC-DC converters (buck, boost, buck-boost); DC-AC inverters (square-wave, PWM, sinusoidal PWM); AC-AC converters (cycloconverters, AC voltage controllers); choppers and freewheeling action.

How to Pass the GATE EE Exam

What You Need to Know

Passing score: Qualifying marks vary annually (~25 marks or μ+σ); 90+ percentile typically needed for top PSU recruitment and IIT MTech admission
Exam length: 100 questions
Time limit: 180 minutes (3 hours)
Exam fee: INR 1000 (Female/SC/ST/PwD); INR 2000 (Others) for GATE 2026

Keys to Passing

Complete 500+ practice questions
Score 80%+ consistently before scheduling
Focus on highest-weighted sections
Use our AI tutor for tough concepts

GATE EE Study Tips from Top Performers

1Build subject-wise GATE PYQ logs: solve all GATE EE previous-year papers from the last 15 years and tag each question by section and difficulty

2Master Engineering Mathematics first — 13 marks are guaranteed and the topics (linear algebra, calculus, transforms, probability) reinforce concepts used in Signals, Control, and Circuits

3Take at least 20-25 full-length mock tests in the 2-3 months before the exam; analyse each mock for time spent per section and aim to finish 65 questions in 150 minutes leaving 30 minutes for review

4Maintain a formula handbook in your own handwriting for Machines, Power Systems, and Control — flipping to your own notes is much faster than searching textbooks in revision

5For NAT questions, practise typing decimal answers in the GATE simulator on gate2026.iitg.ac.in — common errors are wrong rounding (the bulletin specifies precision) and unit conversion (rad/s vs Hz, kW vs MW)

6PSU aspirants should target 90+ marks for safety; PSU cut-offs in EE are historically higher than IIT MTech cut-offs, so do not stop at the qualifying score

Frequently Asked Questions

What is the GATE EE 2026 exam pattern?

GATE EE 2026 is a 3-hour computer-based test with 65 questions for a total of 100 marks. The paper has three sections: General Aptitude (10 questions, 15 marks), Engineering Mathematics (~13 marks), and Electrical Engineering subject (~72 marks). Question types are MCQ (single correct with negative marking), MSQ (multiple correct, no negative marking), and NAT (numerical answer, no negative marking).

Who is conducting GATE 2026 and where do I apply?

GATE 2026 is being organised by IIT Guwahati on behalf of the National Coordination Board (NCB-GATE) under the Ministry of Education, Government of India. Applications are submitted online through the GOAPS portal linked from the official website gate2026.iitg.ac.in. The application window typically opens in late August and closes in late September each year.

What is the marking scheme for GATE EE?

MCQ questions carry negative marking: −1/3 for a wrong 1-mark MCQ and −2/3 for a wrong 2-mark MCQ. MSQ (multiple-select) and NAT (numerical answer) questions carry NO negative marking. There is no partial credit on MSQ — you must select all and only the correct options to get the full mark.

What is the GATE EE 2026 exam fee?

For GATE 2026, the regular-window application fee for Indian candidates is INR 1000 for Female, SC, ST, and PwD candidates, and INR 2000 for all other categories. Late-window fees are higher. International candidates pay USD 50 (Addis Ababa, Colombo, Dhaka, Kathmandu) or USD 100 (other international centres).

Which PSUs recruit through GATE EE and what score is needed?

Major PSUs that recruit Electrical Engineers through GATE include POWERGRID, NTPC, IOCL, BHEL, GAIL, BPCL, ONGC, HPCL, NHPC, OIL, and SAIL. Cut-off marks vary by company and category but typically the General-category written cut-off is in the 70-90 mark range out of 100 (above 90 percentile). Each PSU releases its own notification specifying the GATE paper, the GATE year, and any subsequent interview/GD process.

Is GATE EE only for MTech admission?

No. GATE EE scores are used for (a) MTech/PhD admission at IITs, IISc, NITs, IIITs, and many other engineering institutions; (b) direct recruitment by central PSUs into Executive Trainee/Engineer roles; (c) eligibility for some research fellowships such as CSIR labs and certain DRDO/ISRO programmes; (d) university scholarships under MHRD/MoE for postgraduate study. The GATE score card is valid for three years.

What is the GATE EE syllabus 2026 and has it changed?

GATE EE 2026 follows the standard syllabus published on gate2026.iitg.ac.in. It covers 9 EE subject sections (Electric Circuits, Electromagnetic Fields, Signals and Systems, Electrical Machines, Power Systems, Control Systems, Electrical and Electronic Measurements, Analog and Digital Electronics, Power Electronics) plus Engineering Mathematics and General Aptitude. The official syllabus is essentially unchanged in recent years; always download the latest PDF from the official site before starting preparation.

100+ Free GATE EE Practice Questions

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