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1

GATE2020-EE-GA-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 $10$% on expenditure in $2014$, then its expenditure (in million rupees) in $2014$ was _______. $32.7$ $33.7$ $34.1$ $35.1$

answered Aug 12 in Numerical Ability by vijayp_ (750 points)

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1 answer

2

GATE2020-EE-GA-9
Given a semicircle with $\text{O}$ as the centre, as shown in the figure, the ratio $\frac{\overline{AC}+\overline{CB}}{\overline{AB}}$ is _______, where $\overline{AC}$, $\overline{CB}$ and $\overline{AB}$ are chords. $\sqrt{2}$ $\sqrt{3}$ $2$ $3$

answered Aug 12 in Numerical Ability by vijayp_ (750 points)

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1 answer

3

GATE2020-EE-GA-8
In four-digit integer numbers from $1001$ to $9999$, the digit group $\text{“37”}$ (in the same sequence) appears ________ times. $270$ $279$ $280$ $299$

answered Aug 12 in Numerical Ability by vijayp_ (750 points)

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4

GATE2020-EE-GA-7
Select the next element of the series: $\text{Z, WV , RQP,}$ _____ $\text{LKJI}$ $\text{JIHG}$ $\text{KJIH}$ $\text{NMLK}$

answered Aug 12 in Numerical Ability by vijayp_ (750 points)

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1 answer

5

GATE2020-EE-GA-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 $\text{(RBI)}$ ... paragraph, the holding period of loans in $\text{2004}$ after the third revision was ______ days. $45$ $90$ $135$ $180$

answered Aug 12 in Numerical Ability by vijayp_ (750 points)

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6

GATE2020-EE-GA-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? $5$ $6$ $7$ $8$

answered Aug 12 in Numerical Ability by vijayp_ (750 points)

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7

GATE2020-EE-GA-4
Stock markets _______ at the news of the coup. poised plunged plugged probed

answered Aug 12 in Numerical Ability by vijayp_ (750 points)

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1 answer

8

GATE2015-1-29
Two players, $A$ and $B$, alternately keep rolling a fair dice. The person to get a six first wins the game. Given that player $A$ starts the game, the probability that $A$ wins the game is $5/11$ $1/2$ $7/13$ $6/11$

answered Aug 12 in Probability & Statistics by dheeraj2310 (140 points)

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1 answer

9

GATE2020-EE-GA-3
Select the word that fits the analogy: Do : Undo :: Trust : ______ Entrust Intrust Distrust Untrust

answered Aug 12 in Numerical Ability by vijayp_ (750 points)

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3 answers

10

GATE2020-EE-GA-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

answered Aug 7 in Numerical Ability by Swapnadip_Moni_97 (140 points)

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11

GATE2020-EE-GA-2
People were prohibited_____their vehicles near the entrance of the main administrative building. to park from parking parking to have parked

asked Feb 28 in Numerical Ability by jothee (1.4k points)

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12

GATE2020-EE-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 given set ... identical. $\text{a, b, c, d}$ can be chosen to ensure that all roots are complex. $\text{c}$ alone cannot ensure that all roots are real.

asked Feb 28 in new by jothee (1.4k points)

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13

GATE2020-EE-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 $p,q;p\neq q,$ as applicable? $\dfrac{1}{\pi }\int_{0}^{\pi }\sin m\theta \:\sin n\theta d\theta =0 \\$ ... $\lim_{\alpha \rightarrow \infty }\dfrac{1}{2\alpha }\int_{-\alpha }^{\alpha }\sin p\theta \:\sin q\theta d\theta =0$

asked Feb 28 in new by jothee (1.4k points)

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14

GATE2020-EE-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 interval. The ... If a signal can be expressed as a weighted sum of shifted one sided exponentials, then its Laplace Transform will have no poles.

asked Feb 28 in new by jothee (1.4k points)

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0 answers

15

GATE2020-EE-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 $x\left [ n-k \right ],\:k> 0$ ... region of convergence being $\mid z \mid< 2$ $\mid z \mid> 2$ $\mid z \mid < \dfrac{1}{2}$ $\mid z \mid > \dfrac{1}{2}$

asked Feb 28 in new by jothee (1.4k points)

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16

GATE2020-EE-5
The value of the following complex integral, with $\text{C}$ representing the unit circle centered at origin in the counterclockwise sense, is: $\int _{C}\frac{z^{2}+1}{z^{2}-2z}\:dz$ $8\pi i$ $-8\pi i$ $-\pi i$ $\pi i$

asked Feb 28 in new by jothee (1.4k points)

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17

GATE2020-EE-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 $\text{t}$. ... $y_{A}\neq kx_{A} ;\:y_{R}= kx_{R}$ $y_{A}\neq kx_{A} ;\:y_{R}\neq kx_{R}$

asked Feb 28 in new by jothee (1.4k points)

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18

GATE2020-EE-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, $P$ and $Q$ ... true $P$ is true and $Q$ is false $P$ is false and $Q$ is false $P$ is true and $Q$ is true

asked Feb 28 in new by jothee (1.4k points)

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19

GATE2020-EE-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. The generator ... for a solid three phase-to-ground fault on the transmission line is closest to: $1.00$ $3.61$ $5.00$ $6.25$

asked Feb 28 in new by jothee (1.4k points)

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20

GATE2020-EE-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

asked Feb 28 in new by jothee (1.4k points)

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21

GATE2020-EE-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 $+2j,-2j$ $+2,-2$ $+4,-4$ $+4j,-4j$

asked Feb 28 in new by jothee (1.4k points)

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22

GATE2020-EE-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: $50\:Hz,\:0\:Hz$ $50\:Hz,\:100\:Hz$ $50\:Hz,\:150\:Hz$ $150\:Hz,\:250\:Hz$

asked Feb 28 in new by jothee (1.4k points)

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23

GATE2020-EE-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 range of ... $0^{\circ}$ to $120^{\circ}$ $60^{\circ}$ to $120^{\circ}$ $60^{\circ}$ to $180^{\circ}$

asked Feb 28 in new by jothee (1.4k points)

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24

GATE2020-EE-13
Which of the options is an equivalent representation of the signal flow graph shown here?

asked Feb 28 in new by jothee (1.4k points)

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25

GATE2020-EE-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: $-2.44$ $-1.22$ $1.22$ $2.44$

asked Feb 28 in new by jothee (1.4k points)

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0 answers

26

GATE2020-EE-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? $1,1,0,0,0,0,1,1,0,1,0,0$ $0,1,0,0,0,0,0,1,0,1,0,0$ $0,1,0,0,0,0,0,1,0,1,1,0$ $0,1,0,0,0,0,0,0,1,0,0,0$

asked Feb 28 in new by jothee (1.4k points)

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27

GATE2020-EE-16
Consider the initial value problem below. The value of y at $x=\ln{2}$, (rounded off to $3$ decimal places) is_____________________. $\frac{\mathrm{d} y}{\mathrm{d} x}=2x-y,\:\:y\left ( 0 \right )=1$

asked Feb 28 in new by jothee (1.4k points)

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28

GATE2020-EE-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 _____________________.

asked Feb 28 in new by jothee (1.4k points)

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29

GATE2020-EE-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_______$\text{A}$.

asked Feb 28 in new by jothee (1.4k points)

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30

GATE2020-EE-19
The Thevenin equivalent voltage, $V_{TH}$, in $\text{V}$ (rounded off to $2$ decimal places) of the network shown below, is _______

asked Feb 28 in new by jothee (1.4k points)

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31

GATE2020-EE-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 at diode turn ... $1, 2, 3$, or $4$) at which the $\text{IGBT}$ experiences the highest current stress is _________.

asked Feb 28 in new by jothee (1.4k points)

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32

GATE2020-EE-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 $160 \: V$, $40 \: Hz$ sinusoidal ac supply ... $\text{25 Hz}$ sinusoidal ac source, the no-load losses will be _____________________$\text{W}$ (rounded off to $2$ decimal places).

asked Feb 28 in new by jothee (1.4k points)

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33

GATE2020-EE-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 entirely eliminate ... $2$ decimal places).

asked Feb 28 in new by jothee (1.4k points)

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34

GATE2020-EE-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 $10 \: MW$, as a result of which, system frequency dropped to $49.75 \: Hz$. ... $\text{MW}$ supplied by the generator is _________________ (rounded off to $2$ decimal places).

asked Feb 28 in new by jothee (1.4k points)

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35

GATE2020-EE-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 enclosing the ... $\dfrac{G\left ( s \right )}{1+G\left ( s \right )}$ lying in the open right half of the $\text{s}$-plane is__________.

asked Feb 28 in new by jothee (1.4k points)

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36

GATE2020-EE-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 dioxide layer is ... of bias, expressed as a multiple of $\text{Q}$ (absolute value in Coulombs, rounded off to the nearest integer) is___________

asked Feb 28 in new by jothee (1.4k points)

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37

GATE2020-EE-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 $1/4$

asked Feb 28 in new by jothee (1.4k points)

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38

GATE2020-EE-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 $z$ ... $k_{1}=3, k_{2}=8,k_{3}=5$ $k_{1}=4, k_{2}=5,k_{3}=3$ $k_{1}=0, k_{2}=0,k_{3}=0$

asked Feb 28 in new by jothee (1.4k points)

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39

GATE2020-EE-28
A $250 V$ dc shunt motor has an armature resistance of $0.2\:\Omega$ and a field resistance of $100\:\Omega$. When the motor is operated on no-load at rated voltage, it draws an armature current of $5 \: A$ and runs at $1200 \: rpm$. When a load ... all operating conditions. The speed of the motor, in $\text{rpm}$ under this loaded condition, is closest to: $1200$ $1000$ $1220$ $900$

asked Feb 28 in new by jothee (1.4k points)

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40

GATE2020-EE-29
Two buses, $\text{i and j}$, are connected with a transmission line admittance $y.$ ...

asked Feb 28 in new by jothee (1.4k points)

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