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1

GATE Electrical 2020 | GA Question: 1
This book, including all its chapters, _______interesting. The students as well as the instructor _______ in agreement about it. is, was are, are is, are were, was

go_editor asked in Verbal Aptitude Feb 28, 2020

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2

GATE Electrical 2020 | GA Question: 2
People were prohibited_____their vehicles near the entrance of the main administrative building. to park from parking parking to have parked

go_editor asked in Verbal Aptitude Feb 28, 2020

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3

GATE Electrical 2020 | GA Question: 3
Select the word that fits the analogy: Do : Undo :: Trust : ______ Entrust Intrust Distrust Untrust

go_editor asked in Verbal Aptitude Feb 28, 2020

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4

GATE Electrical 2020 | GA Question: 4
Stock markets _______ at the news of the coup. poised plunged plugged probed

go_editor asked in Verbal Aptitude Feb 28, 2020

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5

GATE Electrical 2020 | GA Question: 5
If $\text{P, Q, R, S}$ are four individuals, how many teams of size exceeding one can be formed, with $\text{Q}$ as a member? $5$ $6$ $7$ $8$

go_editor asked in Quantitative Aptitude Feb 28, 2020

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6

GATE Electrical 2020 | GA Question: 6
Non-performing Assets $\text{(NPAs)}$ of a bank in India is defined as an asset, which remains unpaid by a borrower for a certain period of time in terms of interest, principal, or both. Reserve Bank of India $\text{(RBI)}$ has changed the ... the holding period of loans in $\text{2004}$ after the third revision was ______ days. $45$ $90$ $135$ $180$

go_editor asked in Analytical Aptitude Feb 28, 2020

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7

GATE Electrical 2020 | GA Question: 7
Select the next element of the series: $\text{Z, WV , RQP,}$ _____ $\text{LKJI}$ $\text{JIHG}$ $\text{KJIH}$ $\text{NMLK}$

go_editor asked in Analytical Aptitude Feb 28, 2020

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8

GATE Electrical 2020 | GA Question: 8
In four-digit integer numbers from $1001$ to $9999$, the digit group $\text{“37”}$ (in the same sequence) appears ________ times. $270$ $279$ $280$ $299$

go_editor asked in Analytical Aptitude Feb 28, 2020

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9

GATE Electrical 2020 | GA Question: 9
Given a semicircle with $\text{O}$ as the centre, as shown in the figure, the ratio $\dfrac{\overline{AC}+\overline{CB}}{\overline{AB}}$ is _______, where $\overline{AC}$, $\overline{CB}$ and $\overline{AB}$ are chords. $\sqrt{2}$ $\sqrt{3}$ $2$ $3$

go_editor asked in Quantitative Aptitude Feb 28, 2020

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10

GATE Electrical 2020 | GA Question: 10
The revenue and expenditure of four different companies $\text{P, Q, R and S}$ in $2015$ are shown in the figure. If the revenue of company $\text{Q}$ in $2015$ was $20$% more than that in $2014$, and company $\text{Q}$ had earned a profit of ... expenditure in $2014$, then its expenditure (in million rupees) in $2014$ was _______. $32.7$ $33.7$ $34.1$ $35.1$

go_editor asked in Quantitative Aptitude Feb 28, 2020

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11

GATE Electrical 2020 | Question: 1
$ax^{3}+bx^{2}+cx+d$ is a polynomial on real $\text{x}$ over real coefficients $\text{a, b, c, d}$ wherein $a\neq 0.$ Which of the following statements is true? $\text{d}$ can be chosen to ensure that $\text{x = 0}$ is a root for any ... $\text{a, b, c, d}$ can be chosen to ensure that all roots are complex. $\text{c}$ alone cannot ensure that all roots are real.

go_editor asked in Calculus Feb 28, 2020

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12

GATE Electrical 2020 | Question: 2
Which of the following is true for all possible non-zero choices of integers $m,n;m\neq n,$ or all possible non-zero choices of real numbers $p,q;p\neq q,$ ...

go_editor asked in Calculus Feb 28, 2020

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13

GATE Electrical 2020 | Question: 3
Which of the following statements is true about the two sided Laplace transform? It exists for every signal that may or may not have a Fourier transform. It has no poles for any bounded signal that is non-zero only inside a finite time ... a signal can be expressed as a weighted sum of shifted one sided exponentials, then its Laplace Transform will have no poles.

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14

GATE Electrical 2020 | Question: 4
Consider a signal $x\left [ n \right ]=\left ( \dfrac{1}{2} \right )^{n}1\left [ n \right ],$ where $1\left [ n \right ]=0$ if $n< 0$, and $1\left [ n \right ]= 1$ if $n \geq 0.$ The z-transform of $x\left [ n-k \right ],\:k> 0$ is ... of convergence being $\mid z \mid< 2$ $\mid z \mid> 2$ $\mid z \mid < \dfrac{1}{2}$ $\mid z \mid > \dfrac{1}{2}$

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15

GATE Electrical 2020 | Question: 5
The value of the following complex integral, with $\text{C}$ representing the unit circle centered at origin in the counterclockwise sense, is: $\int _{C}\frac{z^{2}+1}{z^{2}-2z}\:dz$ $8\pi i$ $-8\pi i$ $-\pi i$ $\pi i$

go_editor asked in Complex Variables Feb 28, 2020

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16

GATE Electrical 2020 | Question: 6
$x_{R}$ and $x_{A}$ are, respectively, the rms and average values of $x\left ( t \right )=x\left ( t-T \right ),$ and similarly, $y_{R}$ and $y_{A}$ are, respectively, the rms and average values of $y\left ( t \right )=kx\left ( t \right ).\:k,T$ are independent of ... $y_{A}\neq kx_{A} ;\:y_{R}= kx_{R}$ $y_{A}\neq kx_{A} ;\:y_{R}\neq kx_{R}$

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17

GATE Electrical 2020 | Question: 7
A three-phase cylindrical rotor synchronous generator has a synchronous reactance $X_{s}$ and a negligible armature resistance. The magnitude of per phase terminal voltage is $V_{A}$ and the magnitude of per phase induced emf is $E_{A}$. Considering the following two statements, ... is true and $Q$ is false $P$ is false and $Q$ is false $P$ is true and $Q$ is true

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18

GATE Electrical 2020 | Question: 8
A lossless transmission line with $0.2$ $\text{pu}$ reactance per phase uniformly distributed along the length of the line, connecting a generator bus to a load bus, is protected up to $80 \%$ of its length by a distance relay placed at the generator bus. ... a solid three phase-to-ground fault on the transmission line is closest to: $1.00$ $3.61$ $5.00$ $6.25$

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19

GATE Electrical 2020 | Question: 9
Out of the following options, the most relevant information needed to specify the real power $\text{(P)}$ at the $\text{PV}$ buses in a load flow analysis is solution of economic load dispatch rated power output of the generator rated voltage of the generator base power of the generator

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20

GATE Electrical 2020 | Question: 10
Consider a linear time-invariant system whose input $\text{r(t)}$ and output $\text{y(t)}$ are related by the following differential equation: $\frac{d^{2}y\left ( t \right )}{dt^{2}}+4y\left ( t \right )=6r\left ( t \right )$ The poles of this system are at $+2j,-2j$ $+2,-2$ $+4,-4$ $+4j,-4j$

go_editor asked in Signals and Systems Feb 28, 2020

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21

GATE Electrical 2020 | Question: 11
A single-phase, full-bridge diode rectifier fed from a $230$ $\text{V}$, $50$ $\text{Hz}$ sinusoidal source supplies a series combination of finite resistance, $\text{R}$, and a very large inductance, $\text{L}$. The two most dominant frequency components in the source current are: $50\:Hz,\:0\:Hz$ $50\:Hz,\:100\:Hz$ $50\:Hz,\:150\:Hz$ $150\:Hz,\:250\:Hz$

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22

GATE Electrical 2020 | Question: 12
Thyristor $T_{1}$ is triggered at an angle $\alpha$ (in degree), and $T_{2}$ at angle $180^{\circ}+\alpha$, in each cycle of the sinusoidal input voltage. Assume both thyristors to be ideal. To control the load power over the range $0$ to $\text{2 k W}$, the minimum ... $0^{\circ}$ to $120^{\circ}$ $60^{\circ}$ to $120^{\circ}$ $60^{\circ}$ to $180^{\circ}$

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23

GATE Electrical 2020 | Question: 13
Which of the options is an equivalent representation of the signal flow graph shown here?

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24

GATE Electrical 2020 | Question: 14
A common-source amplifier with a drain resistance, $R_{D}=4.7\:k\Omega$, is powered using a $10\:V$ power supply. Assuming that the transconductance, $g_{m}$, is $520\:\mu A/V$, the voltage gain of the amplifier is closest to: $-2.44$ $-1.22$ $1.22$ $2.44$

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25

GATE Electrical 2020 | Question: 15
A sequence detector is designed to detect precisely $3$ digital inputs, with overlapping sequences detectable. For the sequence $\text{(1,0,1)}$ and input data $(1,1,0,1,0,0,1,1,0,1,0,1,1,0)$, what is the output of this detector? $1,1,0,0,0,0,1,1,0,1,0,0$ $0,1,0,0,0,0,0,1,0,1,0,0$ $0,1,0,0,0,0,0,1,0,1,1,0$ $0,1,0,0,0,0,0,0,1,0,0,0$

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26

GATE Electrical 2020 | Question: 16
Consider the initial value problem below. The value of y at $x=\ln{2}$, (rounded off to $3$ decimal places) is ______________. $\frac{\mathrm{d} y}{\mathrm{d} x}=2x-y,\:\:y\left ( 0 \right )=1$

go_editor asked in Differential Equations Feb 28, 2020

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27

GATE Electrical 2020 | Question: 17
A three-phase, $\text{50 Hz}$, $4$-pole induction motor runs at no-load with a slip of $1\%$. With full load, the slip increases to $5 \%$. The $\%$ speed regulation of the motor (rounded off to $2$ decimal places) is _____________________.

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28

GATE Electrical 2020 | Question: 18
Currents through ammeters $\text{A2}$ and $\text{A3}$ in the figure are $1\angle 10^{\circ}\:and\:1\angle 70^{\circ}$, respectively. The reading of the ammeter $\text{A1}$ (rounded off to $3$ decimal places) is_______$\text{A}$.

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29

GATE Electrical 2020 | Question: 19
The Thevenin equivalent voltage, $V_{TH}$, in $\text{V}$ (rounded off to $2$ decimal places) of the network shown below, is _______

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30

GATE Electrical 2020 | Question: 20
A double pulse measurement for an inductively loaded circuit controlled by the $\text{IGBT}$ switch is carried out to evaluate the reverse recovery characteristics of the diode, $\text{D}$, represented approximately as a piecewise linear plot of current vs time ... $4$) at which the $\text{IGBT}$ experiences the highest current stress is _________.

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31

GATE Electrical 2020 | Question: 21
A single-phase, $\text{4 kVA}$, $200\: V/100 \: V$, $50 \: Hz$ transformer with laminated $\text{CRGO}$ steel core has rated no-load loss of $450 \: W$. When the high-voltage winding is excited with $160 \: V$, $40 \: Hz$ ... $\text{25 Hz}$ sinusoidal ac source, the no-load losses will be _____________________$\text{W}$ (rounded off to $2$ decimal places).

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32

GATE Electrical 2020 | Question: 22
A single-phase inverter is fed from a $100 \: V$ dc source and is controlled using a quasi-square wave modulation scheme to produce an output waveform, $\nu\left ( t \right )$, as shown. The angle $\sigma$ is adjusted to ... $2$ decimal places).

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33

GATE Electrical 2020 | Question: 23
A single $50 \: Hz$ synchronous generator on droop control was delivering $100 \: MW$ power to a system. Due to increase in load, generator power had to be increased by $10 \: MW$ ... At this condition, the power in $\text{MW}$ supplied by the generator is _________________ (rounded off to $2$ decimal places).

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34

GATE Electrical 2020 | Question: 24
Consider a negative unity feedback system with forward path transfer function $G\left ( s \right )=\dfrac{K}{\left ( s+a \right )\left ( s-b \right )\left ( s+c \right )}$, where $\text{K, a, b, c}$ are positive real numbers. For a Nyquist path ... $\text{s}$-plane is__________.

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35

GATE Electrical 2020 | Question: 25
The cross-section of a metal-oxide-semiconductor structure is shown schematically. Starting from an uncharged condition, a bias of $\text{+3 V}$ is applied to the gate contact with respect to the body contact. The charge inside the silicon ... , expressed as a multiple of $\text{Q}$ (absolute value in Coulombs, rounded off to the nearest integer) is___________

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36

GATE Electrical 2020 | Question: 26
For real numbers, $\text{x}$ and $\text{y}$, with $y=3x^{2}+3x+1$, the maximum and minimum value of $\text{y}$ for $\text{x}$ $\in \left [ -2,0 \right ]$ are respectively, ______. $7$ and $1/4$ $7$ and $1$ $-2$ and $-1/2$ $1$ and $1/4$

go_editor asked in Calculus Feb 28, 2020

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37

GATE Electrical 2020 | Question: 27
The vector function expressed by $F=a_{x}\left ( 5y-k_{1} z\right )+a_{y}\left ( 3z+k_{2}x \right )+a_{z}\left ( k_{3} y-4x\right )$ represents a conservative field, where $a_{x}, a_{y},a_{z}$ are unit vectors along $x, y$ and $z$ directions, respectively. The values of constants ... $k_{1}=3, k_{2}=8,k_{3}=5$ $k_{1}=4, k_{2}=5,k_{3}=3$ $k_{1}=0, k_{2}=0,k_{3}=0$

go_editor asked in Calculus Feb 28, 2020

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38

GATE Electrical 2020 | Question: 32
A benchtop dc power supply acts as an ideal $4 \: A$ current source as long as its terminal voltage is below $10 \: V$. Beyond this point, it begins to behave as an ideal $10 \: V$ voltage source for all load currents going down to $0 \: A$. When connected to an ideal rheostat, find ... $2.5 \Omega, 4 \: A, 10 \: V$ $2.5 \Omega, 4 \: A , 5 \: V$

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39

GATE Electrical 2020 | Question: 33
The static electric field inside a dielectric medium with relative permittivity, $\varepsilon _{r}=2.25$, expressed in cylindrical coordinate system is given by the following expression $E=a_{r}2r+a_{\varphi }\left ( \frac{3}{r} \right )+a_{z}6$ ... $3\varepsilon _{0}$ $4\varepsilon _{0}$ $5\varepsilon _{0}$ $9\varepsilon _{0}$

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40

GATE Electrical 2020 | Question: 34
Consider a permanent magnet dc $\text{(PMDC)}$ motor which is initially at rest. At $t=0$, a dc voltage of $5 V$ is applied to the motor. Its speed monotonically increase from $0 \text{ rad/s}$ to $6.32 \text{ rad/s}$ in $0.5 \: s$ ... $\dfrac{10}{0.5s+1} \\$ $\dfrac{2}{0.5s+1} \\$ $\dfrac{2}{s+0.5} \\$ $\dfrac{10}{s+0.5}$

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