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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
asked
Feb 13, 2020
in
Verbal Ability
by
jothee
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1.9k
points)

288
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gate2020ec
verbalability
mostappropriateword
+1
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2
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2
GATE ECE 2020  GA Question: 2
He was not only accused of theft _____ of conspiracy. rather but also but even rather than
asked
Feb 13, 2020
in
Verbal Ability
by
jothee
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1.9k
points)

406
views
gate2020ec
verbalability
englishgrammar
+1
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1
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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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Feb 13, 2020
in
Verbal Ability
by
jothee
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1.9k
points)

343
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gate2020ec
verbalability
wordpairs
+1
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2
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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 sixfigure fine to a Frenchspeaking 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.
asked
Feb 13, 2020
in
Verbal Ability
by
jothee
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1.9k
points)

201
views
gate2020ec
verbalability
verbalreasoning
passagereading
+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 $x > 1$? $e^{x}$ $\sqrt{x}$ $1/x$ $e^{x}$
asked
Feb 13, 2020
in
Numerical Ability
by
jothee
(
1.9k
points)

386
views
gate2020ec
numericalability
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 worldwide financial crisis, which started with the subprime lending crisis in $\text{USA}$ in $2007$. The subprime lending crisis led to the ... $\rightarrow$ East Asian crisis$\rightarrow$ banking crisis$\rightarrow$ subprime lending crisis.
asked
Feb 13, 2020
in
Verbal Ability
by
jothee
(
1.9k
points)

193
views
gate2020ec
verbalability
verbalreasoning
passagereading
+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 ________. $0^{\circ}$ $7.5^{\circ}$ $15^{\circ}$ $22.5^{\circ}$
asked
Feb 13, 2020
in
Numerical Ability
by
jothee
(
1.9k
points)

202
views
gate2020ec
numericalability
clocktime
+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 _______. $\pi a^{2}a^{2}$ $\pi a^{2}\sqrt{2}a^{2}$ $\pi a^{2}2a^{2}$ $\pi a^{2}3a^{2}$
asked
Feb 13, 2020
in
Numerical Ability
by
jothee
(
1.9k
points)

1k
views
gate2020ec
numericalability
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 $\beta =b/a$ $\beta^{2} =ac$ $\beta^{3} =bc/\left ( 2a^{2} \right )$ $\beta^{2} \neq 4ac$
asked
Feb 13, 2020
in
Numerical Ability
by
jothee
(
1.9k
points)

212
views
gate2020ec
numericalability
quadraticequations
+1
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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 _______. $8 : 23$ $23 : 8$ $23 : 31$ $31 : 23$
asked
Feb 13, 2020
in
Numerical Ability
by
jothee
(
1.9k
points)

649
views
gate2020ec
numericalability
datainterpretation
bargraph
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 $\mathbb{R}^{4}$.
asked
Feb 13, 2020
in
Vector Analysis
by
jothee
(
1.9k
points)

156
views
gate2020ec
vectoranalysis
+1
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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 $\triangledown \cdot \overrightarrow{A}=0.$ $\triangledown \times \overrightarrow{A}$ ...
asked
Feb 13, 2020
in
Vector Analysis
by
jothee
(
1.9k
points)

170
views
gate2020ec
vectoranalysis
0
votes
0
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GATE ECE 2020  Question: 3
The partial derivative of the function $f(x, y, z) = e^{1x\cos y} + xze^{1/(1+y^{2})}$ with respect to $x$ at the point $(1,0,e)$ is $1$ $0$ $1 \\$ $\dfrac{1}{e}$
asked
Feb 13, 2020
in
Calculus
by
jothee
(
1.9k
points)

110
views
gate2020ec
calculus
derivatives
partialderivatives
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 $y=C_{1}e^{3x}+C_{2}e^{3x}$ $y=(C_{1}+C_{2}x)e^{3x}$ $y=(C_{1}+C_{2}x)e^{3x}$ $y=C_{1}e^{3x}$
asked
Feb 13, 2020
in
Differential Equations
by
jothee
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1.9k
points)

63
views
gate2020ec
differentialequations
secondorderdifferentialequation
0
votes
0
answers
15
GATE ECE 2020  Question: 5
The output $y[n]$ of a discretetime 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 $\delta \left [ n \right ].$
asked
Feb 13, 2020
in
Continuoustime Signals
by
jothee
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1.9k
points)

73
views
gate2020ec
continuoustimesignals
signalsandsystems
discretetimesignals
impulseresponse
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votes
0
answers
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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 midbandgap energy level by $18.02 \: meV$ $9.01 \: meV$ $13.45 \: meV$ $26.90 \: meV$
asked
Feb 13, 2020
in
Digital Circuits
by
jothee
(
1.9k
points)

73
views
gate2020ec
digitalcircuits
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.
asked
Feb 13, 2020
in
Electronic Devices
by
jothee
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1.9k
points)

56
views
gate2020ec
electronicdevices
+1
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0
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18
GATE ECE 2020  Question: 8
The components in the circuit shown below are ideal. If the opamp 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 noninverted 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 $5$ $\text{V}$.
asked
Feb 13, 2020
in
Communications
by
jothee
(
1.9k
points)

293
views
gate2020ec
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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Feb 13, 2020
in
Network Solution Methods
by
jothee
(
1.9k
points)

83
views
gate2020ec
networksolutionmethods
thevenintheorem
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 $PQ+\overline{Q}R.$ $PQ+Q\overline{R}.$ $P\overline{Q}R+\overline{P}Q.$ $\overline{Q}+PR.$
asked
Feb 13, 2020
in
Digital Circuits
by
jothee
(
1.9k
points)

99
views
gate2020ec
digitalcircuits
combinationalcircuits
multiplexers
0
votes
0
answers
21
GATE ECE 2020  Question: 11
The polezero 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 counterclockwise direction. the origin of the ... $1 + j0$ of the $G(s)$plane once in the clockwise direction.
asked
Feb 13, 2020
in
Continuoustime Signals
by
jothee
(
1.9k
points)

81
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gate2020ec
continuoustimesignals
polesandzeros
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 ... $\alpha ^{N}$ $1\alpha ^{N}$ $1\left ( 1\alpha \right )^{N}$
asked
Feb 13, 2020
in
Communications
by
jothee
(
1.9k
points)

166
views
gate2020ec
digitalcommunications
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 $(0.5, 0)$.
asked
Feb 13, 2020
in
Electromagnetics
by
jothee
(
1.9k
points)

52
views
gate2020ec
impedance
electromagnetics
0
votes
0
answers
24
GATE ECE 2020  Question: 14
Which one of the following polezero plots corresponds to the transfer function of an $\text{LTI}$ system characterized by the inputoutput difference equation given below? $y\left [ n \right ]=\sum ^{3}_{k=0}\left ( 1 \right )^{k}x\left [ nk \right ]$
asked
Feb 13, 2020
in
Continuoustime Signals
by
jothee
(
1.9k
points)

79
views
gate2020ec
polesandzeros
continuoustimesignals
0
votes
0
answers
25
GATE ECE 2020  Question: 15
In the given circuit, the twoport 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 _____________$\Omega$.
asked
Feb 13, 2020
in
Network Solution Methods
by
jothee
(
1.9k
points)

68
views
gate2020ec
numericalanswers
networksolutionmethods
twoportnetwork
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 _______ $\text{H}$.
asked
Feb 13, 2020
in
Network Solution Methods
by
jothee
(
1.9k
points)

64
views
gate2020ec
numericalanswers
networksolutionmethods
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 steadystate output $V_{o}$ ( rounded off to two decimal places) is ______ $V$.
asked
Feb 13, 2020
in
Network Solution Methods
by
jothee
(
1.9k
points)

53
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gate2020ec
numericalanswers
networksolutionmethods
steadystate
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 opamp is __________ $\text{mA}$.
asked
Feb 13, 2020
in
Analog Circuits
by
jothee
(
1.9k
points)

60
views
gate2020ec
numericalanswers
opamps
analogcircuits
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 ____________ .
asked
Feb 13, 2020
in
Digital Circuits
by
jothee
(
1.9k
points)

46
views
gate2020ec
numericalanswers
digitalcircuits
microprocessor8085
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 __________ $V$.
asked
Feb 13, 2020
in
Digital Circuits
by
jothee
(
1.9k
points)

68
views
gate2020ec
numericalanswers
digitalcircuits
dataconverters
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 __________ $\Omega$.
asked
Feb 13, 2020
in
Electromagnetics
by
jothee
(
1.9k
points)

41
views
gate2020ec
numericalanswers
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 __________.
asked
Feb 13, 2020
in
Communications
by
jothee
(
1.9k
points)

62
views
gate2020ec
numericalanswers
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 ___________.
asked
Feb 13, 2020
in
Network Solution Methods
by
jothee
(
1.9k
points)

69
views
gate2020ec
numericalanswers
networksolutionmethods
transferfunction
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 twosided power spectral density $S_{W}\left ( f \right )=3 W/Hz$, for all $f$. The variance of $Y$ is ________.
asked
Feb 13, 2020
in
Vector Analysis
by
jothee
(
1.9k
points)

55
views
gate2020ec
numericalanswers
vectoranalysis
gaussstheorem
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 ___________.
asked
Feb 13, 2020
in
Probability and Statistics
by
jothee
(
1.9k
points)

96
views
gate2020ec
numericalanswers
probabilityandstatistics
probability
independentevents
randomvariable
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 $3b_{1}6b_{3}+b_{4}=0$
asked
Feb 13, 2020
in
Linear Algebra
by
jothee
(
1.9k
points)

40
views
gate2020ec
linearalgebra
systemofequations
0
votes
0
answers
37
GATE ECE 2020  Question: 27
Which one of the following options contains two solutions of the differential equation $\dfrac{\mathrm{d} y}{\mathrm{d} x}=\left ( y1 \right )x?$ $\ln\mid y1 \mid=0.5x^{2}+C$ and $y=1$ $\ln\mid y1 \mid=2x^{2}+C$ and $y=1$ $\ln\mid y1 \mid=0.5x^{2}+C$ and $y=1$ $\ln\mid y1 \mid=2x^{2}+C$ and $y=1$
asked
Feb 13, 2020
in
Differential Equations
by
jothee
(
1.9k
points)

43
views
gate2020ec
differentialequations
+1
vote
0
answers
38
GATE ECE 2020  Question: 28
The current $I$ in the given network is $0 \: A$ $2.38\angle 96.37^{\circ}A$ $2.38\angle143.63^{\circ}A$ $2.38\angle23.63^{\circ}A$
asked
Feb 13, 2020
in
Network Solution Methods
by
jothee
(
1.9k
points)

46
views
gate2020ec
networksolutionmethods
0
votes
0
answers
39
GATE ECE 2020  Question: 31
A onesided 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 ___________ $\times 10^{20}F^{2}V^{1}$. $5.7$ $3.8$ $1.2$ $0.4$
asked
Feb 13, 2020
in
Electronic Devices
by
jothee
(
1.9k
points)

83
views
gate2020ec
electronicdevices
pnjunctiondiode
0
votes
0
answers
40
GATE ECE 2020  Question: 32
The band diagram of a $p$type semiconductor with a bandgap 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 ... $1.70\times 10^{8}$ $0.52\times 10^{8}$ $1.41\times 10^{8}$ $0.93\times 10^{8}$
asked
Feb 13, 2020
in
Digital Circuits
by
jothee
(
1.9k
points)

73
views
gate2020ec
digitalcircuits
semiconductor
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