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Previous GATE
0
votes
1
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1
GATE2020ECGA: 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)
gate2020ec
0
votes
1
answer
2
GATE2020ECGA: 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)
gate2020ec
0
votes
1
answer
3
GATE2020ECGA: 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)
gate2020ec
0
votes
1
answer
4
GATE2020ECGA: 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 inflight ... 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)
gate2020ec
0
votes
1
answer
5
GATE2020ECGA: 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
in
Numerical Ability
by
jothee
(
1.4k
points)
gate2020ec
0
votes
1
answer
6
GATE2020ECGA: 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 banking ... $\rightarrow$ East Asian crisis$\rightarrow$ banking crisis$\rightarrow$ subprime lending crisis.
asked
Feb 13
in
Numerical Ability
by
jothee
(
1.4k
points)
gate2020ec
0
votes
1
answer
7
GATE2020ECGA: 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)
gate2020ec
0
votes
1
answer
8
GATE2020ECGA: 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
in
Numerical Ability
by
jothee
(
1.4k
points)
gate2020ec
0
votes
1
answer
9
GATE2020ECGA: 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
in
Numerical Ability
by
jothee
(
1.4k
points)
gate2020ec
0
votes
1
answer
10
GATE2020ECGA: 10
The following figure shows the data of students enrolled in $5$ years $(2014 to 2018)$ 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
in
Numerical Ability
by
jothee
(
1.4k
points)
gate2020ec
0
votes
0
answers
11
GATE2020EC: 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 $\mathbb{R}^{4}$ ... $\mathbb{R}^{4}$ , then it forms a basis for $\mathbb{R}^{4}$.
asked
Feb 13
in
Others
by
jothee
(
1.4k
points)
gate2020ec
vectoranalysis
engineeringmathematics
0
votes
0
answers
12
GATE2020EC: 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
in
Others
by
jothee
(
1.4k
points)
gate2020ec
engineeringmathematics
vectors
overrightarrow
0
votes
0
answers
13
GATE2020EC: 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
in
Others
by
jothee
(
1.4k
points)
gate2020ec
partialdifferentialequations
engineeringmathematics
0
votes
0
answers
14
GATE2020EC: 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
in
Others
by
jothee
(
1.4k
points)
gate2020ec
engineeringmathematics
0
votes
0
answers
15
GATE2020EC: 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
in
Others
by
jothee
(
1.4k
points)
gate2020ec
continuoustimesignals
signalsandsystems
discretetimesignals
impulseresponse
0
votes
0
answers
16
GATE2020EC: 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
in
Others
by
jothee
(
1.4k
points)
gate2020ec
digitalcircuits
semiconductors
0
votes
0
answers
17
GATE2020EC: 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)
gate2020ec
electronicdevices
0
votes
0
answers
18
GATE2020EC: 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 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)
gate2020ec
communications
amplitude
0
votes
0
answers
19
GATE2020EC: 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)
gate2020ec
networksolutionmethods
networks
theveninvoltage
0
votes
0
answers
20
GATE2020EC: 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)
gate2020ec
digitalcircuits
multiplexers
0
votes
0
answers
21
GATE2020EC: 11
The polezero 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 counterclockwise direction. the ... in the counterclockwise 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)
gate2020ec
continuoustimesignals
signalsandsystems
polezero
0
votes
0
answers
22
GATE2020EC: 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)
gate2020ec
probability
digitalcommunications
0
votes
0
answers
23
GATE2020EC: 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)
gate2020ec
impedance
electromagnetics
0
votes
0
answers
24
GATE2020EC: 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
in
Others
by
jothee
(
1.4k
points)
gate2020ec
0
votes
0
answers
25
GATE2020EC: 15
In the given circuit, the twoport 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)
gate2020ec
numericalanswers
networks
0
votes
0
answers
26
GATE2020EC: 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)
gate2020ec
numericalanswers
networks
inductors
0
votes
0
answers
27
GATE2020EC: 17
In the circuit shown below, all the components are ideal and the input voltage is sinsoidial. The magnitude of the steadystate output $V_{o}$ ( rounded off to two decimal places) is ______ $V$.
asked
Feb 13
in
Others
by
jothee
(
1.4k
points)
gate2020ec
numericalanswers
networksolutionmethods
networks
steadystate
sinusoidal
0
votes
0
answers
28
GATE2020EC: 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
in
Others
by
jothee
(
1.4k
points)
gate2020ec
numericalanswers
opamp
analogcircuits
0
votes
0
answers
29
GATE2020EC: 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)
gate2020ec
numericalanswers
digitalcircuits
microprocessor8085
0
votes
0
answers
30
GATE2020EC: 20
A $\text{10bit D/A}$ 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)
gate2020ec
numericalanswers
digitalcircuits
converters
0
votes
0
answers
31
GATE2020EC: 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)
gate2020ec
numericalanswers
impedance
electromagnetics
0
votes
0
answers
32
GATE2020EC: 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)
gate2020ec
numericalanswers
probability
engineeringmathematics
0
votes
0
answers
33
GATE2020EC: 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)
gate2020ec
numericalanswers
networksolutionmethods
networks
transferfunction
0
votes
0
answers
34
GATE2020EC: 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 twosided 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)
gate2020ec
numericalanswers
vectoranalysis
engineeringmathematics
gauss'stheorem
0
votes
0
answers
35
GATE2020EC: 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)
gate2020ec
numericalanswers
engineeringmathematics
0
votes
0
answers
36
GATE2020EC: 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)
gate2020ec
engineeringmathematics
0
votes
0
answers
37
GATE2020EC: 27
Which one of the following options contains two solutions of the differential equation $\frac{\mathrm{d} y}{\mathrm{d} x}=\left ( y1 \right )x?$ $ln\left  y1 \right =0.5x^{2}+C$ and $y=1$ $ln\left  y1 \right =2x^{2}+C$ and $y=1$ $ln\left  y1 \right =0.5x^{2}+C$ and $y=1$ $ln\left  y1 \right =2x^{2}+C$ and $y=1$
asked
Feb 13
in
Others
by
jothee
(
1.4k
points)
gate2020ec
differentialequations
engineeringmathematics
0
votes
0
answers
38
GATE2020EC: 28
The current $\text{I}$ in the given network is $\text{0 A}$. $2.38\angle 96.37^{\circ}A.$ $2.38\angle143.63^{\circ}A.$ $2.38\angle23.63^{\circ}A.$
asked
Feb 13
in
Others
by
jothee
(
1.4k
points)
gate2020ec
networks
0
votes
0
answers
39
GATE2020EC: 29
A finite duration discretetime signal $\text{x[n]}$ is obtained by sampling the continuoustime 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 nonzero. Only $\text{X[3]}$ and $\text{X[5]}$ are nonzero.
asked
Feb 13
in
Others
by
jothee
(
1.4k
points)
gate2020ec
continuoustimesignals
signalsandsystems
discretetimesignals
0
votes
0
answers
40
GATE2020EC: 30
For the given circuit, which one of the following is correct state equation? ...
asked
Feb 13
in
Others
by
jothee
(
1.4k
points)
gate2020ec
networksolutionmethods
networks
stateequations
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