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GATE & PSUs - Electrical & Electronics Engineering (EE & ECE) previous year questions (PYQ)

514 previous year GATE & PSUs - Electrical & Electronics Engineering (EE & ECE) questions, grouped by year, with answers and solutions.

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2025 (42 questions)

Q1.
[Analog Modulation (AM, FM, PM & Superheterodyne) Concept 14] A train running at $72\text{ km/h}$ crosses a stationary platform of length $250\text{ m}$ in $26\text{ seconds}$. What is the length of the train?

(A)
$270\text{ m}$
(B)
$200\text{ m}$
(C)
$300\text{ m}$
(D)
$250\text{ m}$
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Q2.
[Root Locus Construction Rules Concept 22] The open-loop transfer function of a unity negative feedback control system is $G(s) = \frac{K}{s(s+2)(s+4)}$. What is the range of gain $K > 0$ for which the closed-loop system is strictly stable?

(A)
$0 < K < 48$
(B)
$0 < K < 24$
(C)
$0 < K < 96$
(D)
$K > 48$
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2024 (100 questions)

Q1.

GATE Technical Standard: In computational modeling of 'Sequential Circuits (Flip-Flops, Counters, Shift Registers) - Advanced Problem Solving', what constitutes the primary performance trade-off regarding asymptotic efficiency and resource conservation?

(A)

Minimizing peak algorithmic runtime and memory latency through optimal dynamic constraints (Sequential Circuits (Flip-Flops, Counters, Shift Registers) - Advanced Problem Solving)

(B)

Maximizing redundant register transfers to force artificial synchronization

(C)

Arbitrary thread serialization without mutex coordination or race mitigation

(D)

Unbounded stack consumption with circular recursive invocation

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Q2.

Engineering Analysis & Principles: In technical analysis of 'Data Converters (ADC & DAC Specifications) - Advanced Problem Solving' within Data Converters (ADC & DAC Specifications), which governing relationship or mathematical model determines optimal system response under equilibrium conditions?

(A)

First-order linear differential operator with boundary conditions matching system eigenvalues (Data Converters (ADC & DAC Specifications) - Advanced Problem Solving)

(B)

Zero-order static algebraic summation neglecting non-linear feedback

(C)

Unconstrained stochastic random walk without conservation criteria

(D)

Non-convergent divergence theorem with unbounded parameter drift

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2023 (36 questions)

Q1.
[Two-Port Parameters (Z, Y, ABCD, h) Concept 11] In an electrical circuit, a voltage source $v(t) = 100\sqrt{2} \cos(100\pi t + 30°)\text{ V}$ supplies a load impedance $Z = (30 + j40)\,\Omega$. What is the real average power $P$ absorbed by the load?

(A)
$120\text{ W}$
(B)
$240\text{ W}$
(C)
$60\text{ W}$
(D)
$200\text{ W}$
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Q2.
[BJT Amplifiers & Frequency Response Concept 8] An ideal op-amp inverting amplifier has input resistance $R_1 = 10\,\text{k}\Omega$ and feedback resistance $R_f = 100\,\text{k}\Omega$. What is the closed-loop voltage gain $A_v$ and input impedance seen by the source?

(A)
$A_v = -10, \quad Z_{\text{in}} = 10\,\text{k}\Omega$
(B)
$A_v = +11, \quad Z_{\text{in}} = \infty$
(C)
$A_v = -10, \quad Z_{\text{in}} = 100\,\text{k}\Omega$
(D)
$A_v = -100, \quad Z_{\text{in}} = 10\,\text{k}\Omega$
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2022 (42 questions)

Q1.
How many $2$-to-$1$ multiplexers are required to construct an $8$-to-$1$ multiplexer without any additional external logic gates?

(A)
$7$
(B)
$8$
(C)
$4$
(D)
$15$
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Q2.
In an electrical circuit, a voltage source $v(t) = 100\sqrt{2} \cos(100\pi t + 30°)\text{ V}$ supplies a load impedance $Z = (30 + j40)\,\Omega$. What is the real average power $P$ absorbed by the load?

(A)
$120\text{ W}$
(B)
$240\text{ W}$
(C)
$60\text{ W}$
(D)
$200\text{ W}$
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2021 (42 questions)

Q1.
[Analog Modulation (AM, FM, PM & Superheterodyne) Concept 19] The matrix $A = \begin{pmatrix} 2 & 1 \\ 1 & 2 \end{pmatrix}$ has eigenvalues $\lambda_1$ and $\lambda_2$. What are the eigenvalues of the matrix $A^3 - 2A + I$?

(A)
$22$ and $0$
(B)
$8$ and $1$
(C)
$27$ and $1$
(D)
$24$ and $2$
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Q2.
[Network Theorems (Thevenin, Norton, Superposition, Maximum Power) Concept 8] In an electrical circuit, a voltage source $v(t) = 100\sqrt{2} \cos(100\pi t + 30°)\text{ V}$ supplies a load impedance $Z = (30 + j40)\,\Omega$. What is the real average power $P$ absorbed by the load?

(A)
$120\text{ W}$
(B)
$240\text{ W}$
(C)
$60\text{ W}$
(D)
$200\text{ W}$
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2020 (42 questions)

Q1.
[Two-Port Parameters (Z, Y, ABCD, h) Concept 5] In an electrical circuit, a voltage source $v(t) = 100\sqrt{2} \cos(100\pi t + 30°)\text{ V}$ supplies a load impedance $Z = (30 + j40)\,\Omega$. What is the real average power $P$ absorbed by the load?

(A)
$120\text{ W}$
(B)
$240\text{ W}$
(C)
$60\text{ W}$
(D)
$200\text{ W}$
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Q2.
[Feedback Amplifiers, Oscillators & 555 Timers Concept 5] An ideal op-amp inverting amplifier has input resistance $R_1 = 10\,\text{k}\Omega$ and feedback resistance $R_f = 100\,\text{k}\Omega$. What is the closed-loop voltage gain $A_v$ and input impedance seen by the source?

(A)
$A_v = -10, \quad Z_{\text{in}} = 10\,\text{k}\Omega$
(B)
$A_v = +11, \quad Z_{\text{in}} = \infty$
(C)
$A_v = -10, \quad Z_{\text{in}} = 100\,\text{k}\Omega$
(D)
$A_v = -100, \quad Z_{\text{in}} = 10\,\text{k}\Omega$
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2019 (42 questions)

Q1.
[Digital Modulation (BPSK, QPSK, QAM, Constellation Diagrams, BER, SNR) Concept 20] A train running at $72\text{ km/h}$ crosses a stationary platform of length $250\text{ m}$ in $26\text{ seconds}$. What is the length of the train?

(A)
$270\text{ m}$
(B)
$200\text{ m}$
(C)
$300\text{ m}$
(D)
$250\text{ m}$
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Q2.
[Data Converters (ADC & DAC Specifications) Concept 24] How many $2$-to-$1$ multiplexers are required to construct an $8$-to-$1$ multiplexer without any additional external logic gates?

(A)
$7$
(B)
$8$
(C)
$4$
(D)
$15$
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2018 (42 questions)

Q1.
[Z-Transform & Inverse Z-Transform Concept 24] A train running at $72\text{ km/h}$ crosses a stationary platform of length $250\text{ m}$ in $26\text{ seconds}$. What is the length of the train?

(A)
$270\text{ m}$
(B)
$200\text{ m}$
(C)
$300\text{ m}$
(D)
$250\text{ m}$
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Q2.
[Microprocessors (8085/8086 Architecture, Addressing Modes, Interrupts) Concept 20] How many $2$-to-$1$ multiplexers are required to construct an $8$-to-$1$ multiplexer without any additional external logic gates?

(A)
$7$
(B)
$8$
(C)
$4$
(D)
$15$
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2017 (42 questions)

Q1.
[Poynting Theorem & Plane Wave Reflection Concept 17] The matrix $A = \begin{pmatrix} 2 & 1 \\ 1 & 2 \end{pmatrix}$ has eigenvalues $\lambda_1$ and $\lambda_2$. What are the eigenvalues of the matrix $A^3 - 2A + I$?

(A)
$22$ and $0$
(B)
$8$ and $1$
(C)
$27$ and $1$
(D)
$24$ and $2$
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Q2.
[Maxwell’s Equations & Wave Equation in Dielectrics/Conductors Concept 21] The matrix $A = \begin{pmatrix} 2 & 1 \\ 1 & 2 \end{pmatrix}$ has eigenvalues $\lambda_1$ and $\lambda_2$. What are the eigenvalues of the matrix $A^3 - 2A + I$?

(A)
$22$ and $0$
(B)
$8$ and $1$
(C)
$27$ and $1$
(D)
$24$ and $2$
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2016 (42 questions)

Q1.
[Data Converters (ADC & DAC Specifications) Concept 14] How many $2$-to-$1$ multiplexers are required to construct an $8$-to-$1$ multiplexer without any additional external logic gates?

(A)
$7$
(B)
$8$
(C)
$4$
(D)
$15$
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Q2.
[Routh-Hurwitz Stability Criterion Concept 3] The open-loop transfer function of a unity negative feedback control system is $G(s) = \frac{K}{s(s+2)(s+4)}$. What is the range of gain $K > 0$ for which the closed-loop system is strictly stable?

(A)
$0 < K < 48$
(B)
$0 < K < 24$
(C)
$0 < K < 96$
(D)
$K > 48$
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2015 (42 questions)

Q1.
[Boolean Algebra, K-Maps & Logic Minimization Concept 21] How many $2$-to-$1$ multiplexers are required to construct an $8$-to-$1$ multiplexer without any additional external logic gates?

(A)
$7$
(B)
$8$
(C)
$4$
(D)
$15$
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Q2.
[Sequential Circuits (Flip-Flops, Counters, Shift Registers) Concept 18] How many $2$-to-$1$ multiplexers are required to construct an $8$-to-$1$ multiplexer without any additional external logic gates?

(A)
$7$
(B)
$8$
(C)
$4$
(D)
$15$
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