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1

GATE2020-EC-GA: 1
The untimely loss of life is a cause of serious global concern as thousands of people get killed______accidents every year while many other die______diseases like cardio vascular disease, cancer, etc. in, of from, of during, from from, from

asked Feb 13 in Numerical Ability by jothee (1.4k points)

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2

GATE2020-EC-GA: 2
He was not only accused of theft_______of conspiracy. rather but also but even rather than

asked Feb 13 in Numerical Ability by jothee (1.4k points)

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3

GATE2020-EC-GA: 3
Select the word that fits the analogy: Explicit: Implicit :: Express: _______ Impress Repress Compress Suppress

asked Feb 13 in Numerical Ability by jothee (1.4k points)

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4

GATE2020-EC-GA: 4
The Canadian constitution requires that equal importance be given to English and French. Last year, Air Canada lost a lawsuit, and had to pay a six-figure fine to a French-speaking couple after they filed complaints about formal in-flight ... the French ones. the English announcements being longer than the French ones. equal importance being given to English and French.

asked Feb 13 in Numerical Ability by jothee (1.4k points)

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5

GATE2020-EC-GA: 5
A superadditive function $\text{f(.)}$ satisfies the following property $f\left ( x_{1} +x_{2}\right )\geq f\left ( x_{1} \right ) + f\left ( x_{2} \right )$ Which of the following functions is a superadditive function for $x > 1$? $e^{x}$ $\sqrt{x}$ $1/x$ $e^{-x}$

asked Feb 13 in Numerical Ability by jothee (1.4k points)

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6

GATE2020-EC-GA: 6
The global financial crisis in $2008$ is considered to be the most serious world-wide financial crisis, which started with the sub-prime lending crisis in $\text{USA}$ in $2007$. The sub- prime lending crisis led to the banking ... $\rightarrow$ East Asian crisis$\rightarrow$ banking crisis$\rightarrow$ subprime lending crisis.

asked Feb 13 in Numerical Ability by jothee (1.4k points)

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7

GATE2020-EC-GA: 7
It is quarter past three in your watch. The angle between the hour hand and the minute hand is ________. $0^{\circ}$ $7.5^{\circ}$ $15^{\circ}$ $22.5^{\circ}$

asked Feb 13 in Numerical Ability by jothee (1.4k points)

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8

GATE2020-EC-GA: 8
A circle with centre $\text{O}$ is shown in the figure. A rectangle $\text{PQRS}$ of maximum possible area is inscribed in the circle. If the radius of the circle is $\text{a}$, then the area of the shaded portion is _______. $\pi a^{2}-a^{2}$ $\pi a^{2}-\sqrt{2}a^{2}$ $\pi a^{2}-2a^{2}$ $\pi a^{2}-3a^{2}$

asked Feb 13 in Numerical Ability by jothee (1.4k points)

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9

GATE2020-EC-GA: 9
$\text{a, b, c}$ are real numbers. The quadratic equation $ax^{2}-bx+c=0$ has equal roots, which is $\beta ,$ then $\beta =b/a$ $\beta^{2} =ac$ $\beta^{3} =bc/\left ( 2a^{2} \right )$ $\beta^{2} \neq 4ac$

asked Feb 13 in Numerical Ability by jothee (1.4k points)

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10

GATE2020-EC-GA: 10
The following figure shows the data of students enrolled in $5$ years $\text{(2014 to 2018)}$ for two schools $\text{p}$ and $\text{Q}$. During this period, the ratio of the average number of the students enrolled in school $\text{P}$ to the average of the difference of the number ... enrolled in schools $\text{P}$ and $\text{Q}$ is _______. $8 : 23$ $23 : 8$ $23 : 31$ $31 : 23$

asked Feb 13 in Numerical Ability by jothee (1.4k points)

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11

GATE2020-EC: 1
If $v_{1},v_{2},...,v_{6}$ are six vectors in $\mathbb{R}^{4}$ , which one of the following statements is $\text{FALSE}$? It is not necessary that these vectors span $\mathbb{R}^{4}$ ... $\mathbb{R}^{4}$ , then it forms a basis for $\mathbb{R}^{4}$.

asked Feb 13 in Others by jothee (1.4k points)

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12

GATE2020-EC: 2
For a vector field $\overrightarrow{A}$, which one of the following is $\text{FALSE}$? $\overrightarrow{A}$ is solenoidal if $\triangledown .\overrightarrow{A}=0.$ $\triangledown \times \overrightarrow{A}$ ...

asked Feb 13 in Others by jothee (1.4k points)

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13

GATE2020-EC: 3
The partial derivative of the function $\text{f(x, y, z)} = e^{1-x\cos y} + xze^{-1/(1+y^{2})}$ $-1$ $0$ $1$ $\frac{1}{e}$

asked Feb 13 in Others by jothee (1.4k points)

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14

GATE2020-EC: 4
The general solution of $\frac{\mathrm{d^{2}} y}{\mathrm{d} x^{2}}-6\frac{\mathrm{d} y}{\mathrm{d} x}+9y=0$ is $y=C_{1}e^{3x}+C_{2}e^{-3x}$ $y=(C_{1}+C_{2}x)e^{-3x}$ $y=(C_{1}+C_{2}x)e^{3x}$ $y=C_{1}e^{3x}$

asked Feb 13 in Others by jothee (1.4k points)

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15

GATE2020-EC: 5
The output $\text{y[n]}$ of a discrete-time system for an input $\text{x[n]}$ is $y\left [ n \right ]=max_{-\infty \leq k\leq n}\left | x\left [ k \right ] \right |.$ The unit impluse response of the system is $0$ for all $n$. $1$ for all $n$. unit step signal $u\left [ n \right ].$ unit impulse signal $\delta \left [ n \right ].$

asked Feb 13 in Others by jothee (1.4k points)

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16

GATE2020-EC: 6
A single crystal intrinsic semiconductor is at a temperature of $300$ $\text{K}$ with effective density of states for holes twice that of electrons. The thermal voltage is $\text{26 mV}$. The intrinsic Fermi level is shifted from mid-bandgap energy level by $\text{18.02 meV.}$ $\text{9.01 meV.}$ $\text{13.45 meV.}$ $\text{26.90 meV.}$

asked Feb 13 in Others by jothee (1.4k points)

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17

GATE2020-EC: 7
Consider the recombination process via bulk traps in a forward biased $\text{pn}$ homojunction diode. The maximum recombination rate is $U_{max}$ ... on the applied bias. With all other parameters unchanged, $U_{max}$ increases if the thermal velocity of the carriers increases.

asked Feb 13 in Others by jothee (1.4k points)

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18

GATE2020-EC: 8
The components in the circuit shown below are ideal. If the op-amp is in positive feedback and the input voltage $V_{i}$ is a sine wave of amplitude $1$ $\text{V}$, the output voltage $V_{o}$ is a non-inverted sine wave of $2$ $\text{V}$ amplitude. an inverted sine wave ... amplitude. a square wave of $5$ $\text{V}$ amplitude. a constant of either $5$ $\text{V}$ or $-5$ $\text{V}$.

asked Feb 13 in Others by jothee (1.4k points)

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19

GATE2020-EC: 9
In the circuit shown below, the Thevenin voltage $V_{TH}$is $2.4\:V$ $2.8\:V$ $3.6\:V$ $4.5\:V$

asked Feb 13 in Others by jothee (1.4k points)

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20

GATE2020-EC: 10
The figure below shows a multiplexer where $S_{1}$ and $S{2}$ are the select lines, $I_{0}$ to $I_{3}$ are the input data lines, $\text{EN}$ is the enable line, and $\text{F(P, Q, R)}$ is the output. $\text{F}$ is $PQ+\overline{Q}R.$ $PQ+Q\overline{R}.$ $P\overline{Q}R+\overline{P}Q.$ $\overline{Q}+PR.$

asked Feb 13 in Others by jothee (1.4k points)

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21

GATE2020-EC: 11
The pole-zero map of a rational function $\text{G(s)}$ is shown below. When the closed contour $\Gamma$ is mapped into the $\text{G(s)}$-plane, then the mapping encircles the origin of the $\text{G(s)}$-plane once in the counter-clockwise direction. the ... in the counter-clockwise direction. the point $\text{-1 + j0}$ of the $\text{G(s)}$-plane once in the clockwise direction.

asked Feb 13 in Others by jothee (1.4k points)

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22

GATE2020-EC: 12
A digital communication system transmits a block of $\text{N}$ bits. The probability of error in decoding a bit is $\alpha$. The error event of each bit is independent of the error events of the other bits. The received block is declared erroneous if at least one of its bits is decoded wrongly. ... $\alpha ^{N}$ $1-\alpha ^{N}$ $1-\left ( 1-\alpha \right )^{N}$

asked Feb 13 in Others by jothee (1.4k points)

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23

GATE2020-EC: 13
The impedances $Z=jX,$ for all $\text{X}$ in the range $\left ( -\infty ,\infty \right )$, map to the Smith chart as a circle of radius $1$ with centre at $\text{(0, 0)}$. a point at the centre of the chart. a line passing through the centre of the chart. a circle of radius $0.5$ with centre at $\text{(0.5, 0)}$.

asked Feb 13 in Others by jothee (1.4k points)

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24

GATE2020-EC: 14
Which one of the following pole-zero plots corresponds to the transfer function of an $\text{LTI}$ system characterized by the input-output difference equation given below? $y\left [ n \right ]=\sum ^{3}_{k=0}\left ( -1 \right )^{k}x\left [ n-k \right ]$

asked Feb 13 in Others by jothee (1.4k points)

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25

GATE2020-EC: 15
In the given circuit, the two-port network has the impedance matrix $\left [ Z \right ]=\begin{bmatrix} 40 & 60\\ 60& 120 \end{bmatrix}.$ The value of $Z_{L}$ for which maximum power is transferred to the load is _____________$\Omega$.

asked Feb 13 in Others by jothee (1.4k points)

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26

GATE2020-EC: 16
The current in the $\text{RL}$-circuit shown below is $i\left ( t \right )=10\cos\left ( 5t-\pi /4 \right )A.$ The value of the inductor $\text{(rounded off to two decimal places)}$ is _______$\text{H}$.

asked Feb 13 in Others by jothee (1.4k points)

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27

GATE2020-EC: 17
In the circuit shown below, all the components are ideal and the input voltage is sinsoidial. The magnitude of the steady-state output $V_{o}$ ( rounded off to two decimal places) is ______ $V$.

asked Feb 13 in Others by jothee (1.4k points)

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28

GATE2020-EC: 18
In the circuit shown below, all the components are ideal. If $V_{i}$ is $+2\:V$, the current $I_{o}$ sourced by the op-amp is __________ $\text{mA}$.

asked Feb 13 in Others by jothee (1.4k points)

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29

GATE2020-EC: 19
In an $8085$ microprocessor, the number of address lines required to access a $\text{16 K byte}$ memory bank is ____________ .

asked Feb 13 in Others by jothee (1.4k points)

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30

GATE2020-EC: 20
A $\text{10-bit D/A}$ converter is calibrated over the full range from $\text{0 to 10 V}$. If the input to the $\text{D/A}$ converter is $\text{13A}$ (in hex), the output ( rounded off to three decimal places) is __________ $\text{V}$.

asked Feb 13 in Others by jothee (1.4k points)

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31

GATE2020-EC: 21
A transmission line of length $3\lambda /4$ and having a characteristic impedance of $50$ $\Omega$ is terminated with a load of $400$ $\Omega$. The impedance (rounded off to two decimal places) seen at the input end of the transmission line is __________ $\Omega$.

asked Feb 13 in Others by jothee (1.4k points)

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32

GATE2020-EC: 22
A binary random variable $\text{X}$ takes the value $+2$ or $-2$. The probability $P(X=+2)=\alpha .$ The value of $\alpha$ (rounded off to one decimal place), for which the entropy of $\text{X}$ is maximum, is __________.

asked Feb 13 in Others by jothee (1.4k points)

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33

GATE2020-EC: 23
The loop transfer function of a negative feedback system is $G\left ( s \right )H\left ( s \right )=\frac{k(s+11)}{s(s+2)(s+8)}.$ The value of $\text{K}$, for which the system is marginally stable, is ___________.

asked Feb 13 in Others by jothee (1.4k points)

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34

GATE2020-EC: 24
The random variable $Y=\int_{-\infty }^{\infty }W\left ( t \right )\phi \left ( t \right )dt,\:\:\:\:\:\:\:where\:\:\:\phi \left ( t \right )=\left\{\begin{matrix} 1;5\leq t\leq 7 &\\ 0;otherwise \end{matrix}\right.$ and $\text{W(t)}$ ... process with two-sided power spectral density $S_{W}\left ( f \right )=3 W/Hz,$ for all $\text{f}$. The variance of $\text{Y}$ is ________.

asked Feb 13 in Others by jothee (1.4k points)

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35

GATE2020-EC: 25
The two sides of a fair coin are labelled as $0$ to $1$. The coin is tossed two times independently. Let $\text{M}$ and $\text{N}$ denote the labels corresponding to the outcomes of those tosses. For a random variable $\text{X}$, defined as $\text{X = min(M, N),}$ the expected value $E(X)$ (rounded off to two decimal places) is ___________.

asked Feb 13 in Others by jothee (1.4k points)

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36

GATE2020-EC: 26
Consider the following system of linear equations. $x_{1}+2x_{2}=b_{1}$ ; $2x_{1}+4x_{2}=b_{2}$ ; $3x_{1}+7x_{2}=b_{3}$ ; $3x_{1}+9x_{2}=b_{4}$ Which one of the following conditions ensures that a solution exists for the above system? $b_{2}=2b_{1}$ and $6b_{1}-3b_{3}=b_{4}=0$ ... $b_{2}=2b_{1}$ and $3b_{1}-6b_{3}=b_{4}=0$ $b_{3}=2b_{1}$ and $3b_{1}-6b_{3}=b_{4}=0$

asked Feb 13 in Others by jothee (1.4k points)

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37

GATE2020-EC: 27
Which one of the following options contains two solutions of the differential equation $\frac{\mathrm{d} y}{\mathrm{d} x}=\left ( y-1 \right )x?$ $ln\left | y-1 \right |=0.5x^{2}+C$ and $y=1$ $ln\left | y-1 \right |=2x^{2}+C$ and $y=1$ $ln\left | y-1 \right |=0.5x^{2}+C$ and $y=-1$ $ln\left | y-1 \right |=2x^{2}+C$ and $y=-1$

asked Feb 13 in Others by jothee (1.4k points)

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38

GATE2020-EC: 28
The current $\text{I}$ in the given network is $\text{0 A}$. $2.38\angle -96.37^{\circ}A.$ $2.38\angle143.63^{\circ}A.$ $2.38\angle-23.63^{\circ}A.$

asked Feb 13 in Others by jothee (1.4k points)

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39

GATE2020-EC: 29
A finite duration discrete-time signal $\text{x[n]}$ is obtained by sampling the continuous-time signal $x\left ( t \right )=\cos\left ( 200\pi t \right )$ at sampling instants $t=n/400,$ $n=0, 1, ...,7.$ The $8$-point discrete Fourier transform $\text{(DFT)}$ ... zero. Only $\text{X[2]}$ and $\text{X[6]}$ are non-zero. Only $\text{X[3]}$ and $\text{X[5]}$ are non-zero.

asked Feb 13 in Others by jothee (1.4k points)

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40

GATE2020-EC: 30
For the given circuit, which one of the following is correct state equation? ...

asked Feb 13 in Others by jothee (1.4k points)