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GATE ECE 2020 | GA Question: 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
jothee
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Verbal Ability
Feb 13, 2020
by
jothee
1.9k
points
415
views
gate2020-ec
verbal-ability
most-appropriate-word
1
vote
2
answers
2
GATE ECE 2020 | GA Question: 2
He was not only accused of theft _____ of conspiracy. rather but also but even rather than
jothee
asked
in
Verbal Ability
Feb 13, 2020
by
jothee
1.9k
points
515
views
gate2020-ec
verbal-ability
english-grammar
1
vote
1
answer
3
GATE ECE 2020 | GA Question: 3
Select the word that fits the analogy: Explicit: Implicit :: Express: _______ Impress Repress Compress Suppress
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asked
in
Verbal Ability
Feb 13, 2020
by
jothee
1.9k
points
412
views
gate2020-ec
verbal-ability
word-pairs
1
vote
2
answers
4
GATE ECE 2020 | GA Question: 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- ... the French ones. the English announcements being longer than the French ones. equal importance being given to English and French.
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asked
in
Verbal Ability
Feb 13, 2020
by
jothee
1.9k
points
267
views
gate2020-ec
verbal-ability
verbal-reasoning
passage-reading
1
vote
2
answers
5
GATE ECE 2020 | GA Question: 5
A superadditive function $f(\cdot)$ 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 $x > 1$? $e^{x}$ $\sqrt{x}$ $1/x$ $e^{-x}$
jothee
asked
in
Numerical Ability
Feb 13, 2020
by
jothee
1.9k
points
532
views
gate2020-ec
numerical-ability
functions
1
vote
2
answers
6
GATE ECE 2020 | GA Question: 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 ... $\rightarrow$ East Asian crisis$\rightarrow$ banking crisis$\rightarrow$ subprime lending crisis.
jothee
asked
in
Verbal Ability
Feb 13, 2020
by
jothee
1.9k
points
248
views
gate2020-ec
verbal-ability
verbal-reasoning
passage-reading
1
vote
1
answer
7
GATE ECE 2020 | GA Question: 7
It is quarter past three in your watch. The angle between the hour hand and the minute hand is ________. $0^{\circ}$ $7.5^{\circ}$ $15^{\circ}$ $22.5^{\circ}$
jothee
asked
in
Numerical Ability
Feb 13, 2020
by
jothee
1.9k
points
229
views
gate2020-ec
numerical-ability
clock-time
1
vote
1
answer
8
GATE ECE 2020 | GA Question: 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 $a$, then the area of the shaded portion is _______. $\pi a^{2}-a^{2}$ $\pi a^{2}-\sqrt{2}a^{2}$ $\pi a^{2}-2a^{2}$ $\pi a^{2}-3a^{2}$
jothee
asked
in
Numerical Ability
Feb 13, 2020
by
jothee
1.9k
points
1.4k
views
gate2020-ec
numerical-ability
geometry
circle
area
1
vote
1
answer
9
GATE ECE 2020 | GA Question: 9
$a, b, c$ are real numbers. The quadratic equation $ax^{2}-bx+c=0$ has equal roots, which is $\beta$, then $\beta =b/a$ $\beta^{2} =ac$ $\beta^{3} =bc/\left ( 2a^{2} \right )$ $\beta^{2} \neq 4ac$
jothee
asked
in
Numerical Ability
Feb 13, 2020
by
jothee
1.9k
points
250
views
gate2020-ec
numerical-ability
quadratic-equations
1
vote
2
answers
10
GATE ECE 2020 | GA Question: 10
The following figure shows the data of students enrolled in $5$ years $(2014\;\text{to}\; 2018)$ for two schools $P$ and $Q$. During this period, the ratio of the average number of the students enrolled in school $P$ to the average of the difference of the number of students enrolled in schools $P$ and $Q$ is _______. $8 : 23$ $23 : 8$ $23 : 31$ $31 : 23$
jothee
asked
in
Numerical Ability
Feb 13, 2020
by
jothee
1.9k
points
755
views
gate2020-ec
numerical-ability
data-interpretation
bar-graph
0
votes
0
answers
11
GATE ECE 2020 | Question: 1
If $v_{1},v_{2}, \dots ,v_{6}$ are six vectors in $\mathbb{R}^{4}$ , which one of the following statements is $\text{FALSE}$? It is not necessary that these vectors span $\mathbb{R}^{4}$. These vectors are not linearly independent. Any four of these vectors form a basis ... $\mathbb{R}^{4}$ , then it forms a basis for $\mathbb{R}^{4}$.
jothee
asked
in
Vector Analysis
Feb 13, 2020
by
jothee
1.9k
points
190
views
gate2020-ec
vector-analysis
1
vote
0
answers
12
GATE ECE 2020 | Question: 2
For a vector field $\overrightarrow{A}$, which one of the following is $\text{FALSE}$? $\overrightarrow{A}$ is solenoidal if $\triangledown \cdot \overrightarrow{A}=0.$ $\triangledown \times \overrightarrow{A}$ ...
jothee
asked
in
Vector Analysis
Feb 13, 2020
by
jothee
1.9k
points
198
views
gate2020-ec
vector-analysis
0
votes
0
answers
13
GATE ECE 2020 | Question: 3
The partial derivative of the function $f(x, y, z) = e^{1-x\cos y} + xze^{-1/(1+y^{2})}$ with respect to $x$ at the point $(1,0,e)$ is $-1$ $0$ $1 \\$ $\dfrac{1}{e}$
jothee
asked
in
Calculus
Feb 13, 2020
by
jothee
1.9k
points
126
views
gate2020-ec
calculus
derivatives
partial-derivatives
0
votes
0
answers
14
GATE ECE 2020 | Question: 4
The general solution of $\dfrac{\mathrm{d^{2}} y}{\mathrm{d} x^{2}}-6\dfrac{\mathrm{d} y}{\mathrm{d} x}+9y=0$ is $y=C_{1}e^{3x}+C_{2}e^{-3x}$ $y=(C_{1}+C_{2}x)e^{-3x}$ $y=(C_{1}+C_{2}x)e^{3x}$ $y=C_{1}e^{3x}$
jothee
asked
in
Differential Equations
Feb 13, 2020
by
jothee
1.9k
points
70
views
gate2020-ec
differential-equations
second-order-differential-equation
0
votes
0
answers
15
GATE ECE 2020 | Question: 5
The output $y[n]$ of a discrete-time system for an input $x[n]$ is $y\left [ n \right ]=\underset{-\infty \leq k\leq n}{\text{max}} \mid x\left [ k \right ] \mid$ The unit impulse response of the system is $0$ for all $n$. $1$ for all $n$. unit step signal $u\left [ n \right ].$ unit impulse signal $\delta \left [ n \right ].$
jothee
asked
in
Continuous-time Signals
Feb 13, 2020
by
jothee
1.9k
points
80
views
gate2020-ec
continuous-time-signals
signals-and-systems
discrete-time-signals
impulse-response
0
votes
0
answers
16
GATE ECE 2020 | Question: 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 $26$ mV. The intrinsic Fermi level is shifted from mid-bandgap energy level by $18.02 \: meV$ $9.01 \: meV$ $13.45 \: meV$ $26.90 \: meV$
jothee
asked
in
Digital Circuits
Feb 13, 2020
by
jothee
1.9k
points
83
views
gate2020-ec
digital-circuits
semiconductor
0
votes
0
answers
17
GATE ECE 2020 | Question: 7
Consider the recombination process via bulk traps in a forward biased $pn$ homojunction diode. The maximum recombination rate is $U_{\text{max}}$ ... bias. With all other parameters unchanged, $U_{\text{max}}$ increases if the thermal velocity of the carriers increases.
jothee
asked
in
Electronic Devices
Feb 13, 2020
by
jothee
1.9k
points
68
views
gate2020-ec
electronic-devices
1
vote
0
answers
18
GATE ECE 2020 | Question: 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 ... . a square wave of $5$ $\text{V}$ amplitude. a constant of either $+5$ $\text{V}$ or $-5$ $\text{V}$.
jothee
asked
in
Communications
Feb 13, 2020
by
jothee
1.9k
points
323
views
gate2020-ec
communications
amplitude
0
votes
0
answers
19
GATE ECE 2020 | Question: 9
In the circuit shown below, the Thevenin voltage $V_{TH}$is $2.4\:V$ $2.8\:V$ $3.6\:V$ $4.5\:V$
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asked
in
Network Solution Methods
Feb 13, 2020
by
jothee
1.9k
points
96
views
gate2020-ec
network-solution-methods
thevenin-theorem
0
votes
1
answer
20
GATE ECE 2020 | Question: 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 $PQ+\overline{Q}R.$ $PQ+Q\overline{R}.$ $P\overline{Q}R+\overline{P}Q.$ $\overline{Q}+PR.$
jothee
asked
in
Digital Circuits
Feb 13, 2020
by
jothee
1.9k
points
153
views
gate2020-ec
digital-circuits
combinational-circuits
multiplexers
0
votes
0
answers
21
GATE ECE 2020 | Question: 11
The pole-zero map of a rational function $G(s)$ is shown below. When the closed contour $\Gamma$ is mapped into the $G(s)$-plane, then the mapping encircles the origin of the $G(s)$-plane once in the counter-clockwise direction. the origin of the ... $-1 + j0$ of the $G(s)$-plane once in the clockwise direction.
jothee
asked
in
Continuous-time Signals
Feb 13, 2020
by
jothee
1.9k
points
103
views
gate2020-ec
continuous-time-signals
poles-and-zeros
0
votes
0
answers
22
GATE ECE 2020 | Question: 12
A digital communication system transmits a block of $N$ 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 ... $\alpha ^{N}$ $1-\alpha ^{N}$ $1-\left ( 1-\alpha \right )^{N}$
jothee
asked
in
Communications
Feb 13, 2020
by
jothee
1.9k
points
190
views
gate2020-ec
digital-communications
communications
0
votes
0
answers
23
GATE ECE 2020 | Question: 13
The impedances $Z=jX,$ for all $X$ in the range $\left ( -\infty ,\infty \right )$, map to the Smith chart as a circle of radius $1$ with centre at $(0, 0)$. 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 $(0.5, 0)$.
jothee
asked
in
Electromagnetics
Feb 13, 2020
by
jothee
1.9k
points
62
views
gate2020-ec
impedance
electromagnetics
0
votes
0
answers
24
GATE ECE 2020 | Question: 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? $y\left [ n \right ]=\sum ^{3}_{k=0}\left ( -1 \right )^{k}x\left [ n-k \right ]$
jothee
asked
in
Continuous-time Signals
Feb 13, 2020
by
jothee
1.9k
points
91
views
gate2020-ec
poles-and-zeros
continuous-time-signals
0
votes
0
answers
25
GATE ECE 2020 | Question: 15
In the given circuit, the two-port network has the impedance matrix $\begin{bmatrix} Z \end{bmatrix}=\begin{bmatrix} 40 & 60\\ 60& 120 \end{bmatrix}$. The value of $Z_{L}$ for which maximum power is transferred to the load is _____________$\Omega$.
jothee
asked
in
Network Solution Methods
Feb 13, 2020
by
jothee
1.9k
points
83
views
gate2020-ec
numerical-answers
network-solution-methods
two-port-network
0
votes
0
answers
26
GATE ECE 2020 | Question: 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 _______ $\text{H}$.
jothee
asked
in
Network Solution Methods
Feb 13, 2020
by
jothee
1.9k
points
74
views
gate2020-ec
numerical-answers
network-solution-methods
0
votes
0
answers
27
GATE ECE 2020 | Question: 17
In the circuit shown below, all the components are ideal and the input voltage is sinusoidal. The magnitude of the steady-state output $V_{o}$ ( rounded off to two decimal places) is ______ $V$.
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asked
in
Network Solution Methods
Feb 13, 2020
by
jothee
1.9k
points
59
views
gate2020-ec
numerical-answers
network-solution-methods
steady-state
sinusoidal
1
vote
0
answers
28
GATE ECE 2020 | Question: 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 __________ $\text{mA}$.
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asked
in
Analog Circuits
Feb 13, 2020
by
jothee
1.9k
points
71
views
gate2020-ec
numerical-answers
op-amps
analog-circuits
0
votes
0
answers
29
GATE ECE 2020 | Question: 19
In an $8085$ microprocessor, the number of address lines required to access a $16$ K byte memory bank is ____________ .
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in
Digital Circuits
Feb 13, 2020
by
jothee
1.9k
points
53
views
gate2020-ec
numerical-answers
digital-circuits
microprocessor-8085
0
votes
0
answers
30
GATE ECE 2020 | Question: 20
A $10$-bit D/A converter is calibrated over the full range from $0$ to $10$ V. If the input to the D/A converter is $13 \:A$ (in hex), the output ( rounded off to three decimal places) is __________ $V$.
jothee
asked
in
Digital Circuits
Feb 13, 2020
by
jothee
1.9k
points
77
views
gate2020-ec
numerical-answers
digital-circuits
data-converters
0
votes
0
answers
31
GATE ECE 2020 | Question: 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 __________ $\Omega$.
jothee
asked
in
Electromagnetics
Feb 13, 2020
by
jothee
1.9k
points
50
views
gate2020-ec
numerical-answers
impedance
electromagnetics
0
votes
0
answers
32
GATE ECE 2020 | Question: 22
A binary random variable $X$ 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 $X$ is maximum, is __________.
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in
Communications
Feb 13, 2020
by
jothee
1.9k
points
70
views
gate2020-ec
numerical-answers
entropy
communications
0
votes
0
answers
33
GATE ECE 2020 | Question: 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 $K$, for which the system is marginally stable, is ___________.
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asked
in
Network Solution Methods
Feb 13, 2020
by
jothee
1.9k
points
85
views
gate2020-ec
numerical-answers
network-solution-methods
transfer-function
0
votes
0
answers
34
GATE ECE 2020 | Question: 24
The random variable $Y=\int_{-\infty }^{\infty }W\left ( t \right )\phi \left ( t \right )dt, \text{ where } \phi \left ( t \right )=\begin{cases} 1; & 5\leq t\leq 7 &\\ 0; & \text{otherwise} \end{cases}$ and $W(t)$ is ... noise process with two-sided power spectral density $S_{W}\left ( f \right )=3 W/Hz$, for all $f$. The variance of $Y$ is ________.
jothee
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in
Vector Analysis
Feb 13, 2020
by
jothee
1.9k
points
65
views
gate2020-ec
numerical-answers
vector-analysis
gausss-theorem
0
votes
0
answers
35
GATE ECE 2020 | Question: 25
The two sides of a fair coin are labelled as $0$ to $1$. The coin is tossed two times independently. Let $M$ and $N$ denote the labels corresponding to the outcomes of those tosses. For a random variable $X$, defined as $X = \text{min}(M, N)$, the expected value $E(X)$ (rounded off to two decimal places) is ___________.
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in
Probability and Statistics
Feb 13, 2020
by
jothee
1.9k
points
106
views
gate2020-ec
numerical-answers
probability-and-statistics
probability
independent-events
random-variable
expectation
0
votes
0
answers
36
GATE ECE 2020 | Question: 26
Consider the following system of linear equations. $\begin{array}{llll} x_{1}+2x_{2}=b_{1} ; & 2x_{1}+4x_{2}=b_{2}; & 3x_{1}+7x_{2}=b_{3} ; & 3x_{1}+9x_{2}=b_{4} \end{array}$ Which one of the following conditions ensures that a solution exists for the above system? ... $b_{2}=2b_{1}$ and $3b_{1}-6b_{3}+b_{4}=0$ $b_{3}=2b_{1}$ and $3b_{1}-6b_{3}+b_{4}=0$
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in
Linear Algebra
Feb 13, 2020
by
jothee
1.9k
points
48
views
gate2020-ec
linear-algebra
system-of-equations
0
votes
0
answers
37
GATE ECE 2020 | Question: 27
Which one of the following options contains two solutions of the differential equation $\dfrac{\mathrm{d} y}{\mathrm{d} x}=\left ( y-1 \right )x?$ $\ln\mid y-1 \mid=0.5x^{2}+C$ and $y=1$ $\ln\mid y-1 \mid=2x^{2}+C$ and $y=1$ $\ln\mid y-1 \mid=0.5x^{2}+C$ and $y=-1$ $\ln\mid y-1 \mid=2x^{2}+C$ and $y=-1$
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in
Differential Equations
Feb 13, 2020
by
jothee
1.9k
points
48
views
gate2020-ec
differential-equations
1
vote
0
answers
38
GATE ECE 2020 | Question: 30
For the given circuit, which one of the following is correct state equation? ...
jothee
asked
in
Network Solution Methods
Feb 13, 2020
by
jothee
1.9k
points
60
views
gate2020-ec
network-solution-methods
state-equations
0
votes
0
answers
39
GATE ECE 2020 | Question: 31
A one-sided abrupt $pn$ junction diode has a depletion capacitance $C_{D}$ of $50$ $\text{pF}$ at a reverse bias of $0.2 V$. The plot of $1/C^{2}_{D}$ versus the applied voltage $V$ for this diode is a straight line as shown in the figure below. The slope of the plot is ___________ $\times 10^{20}F^{-2}V^{-1}$. $-5.7$ $-3.8$ $-1.2$ $-0.4$
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in
Electronic Devices
Feb 13, 2020
by
jothee
1.9k
points
103
views
gate2020-ec
electronic-devices
p-n-junction-diode
0
votes
0
answers
40
GATE ECE 2020 | Question: 32
The band diagram of a $p$-type semiconductor with a band-gap of $1$ eV is shown. Using this semiconductor, a $\text{MOS}$ capacitor having $V_{TH}$ of $-0.16 V$, ${C}'_{ox}$ of $100\:nF/cm^{2}$ and a metal work function of $3.87 \: eV$ is fabricated. There is no charge ... $1.70\times 10^{-8}$ $0.52\times 10^{-8}$ $1.41\times 10^{-8}$ $0.93\times 10^{-8}$
jothee
asked
in
Number Representations
Feb 13, 2020
by
jothee
1.9k
points
88
views
gate2020-ec
digital-circuits
semiconductor
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