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Previous GATE
0
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1
gate ee
asked
Mar 17
in
new
by
Priyanka_Gupta_20
(
120
points)
0
votes
0
answers
2
Gate 2000 signals and systems
asked
Mar 17
in
Signals and Systems
by
Hanuma
(
120
points)
+1
vote
1
answer
3
GATE Electrical 2021  GA Question: 1
The people _______________ were at the demonstration were from all sections of society. whose which who whom
asked
Feb 20
in
Verbal Ability
by
Arjun
(
7.8k
points)
gateee2021
verbalability
englishgrammar
easy
+1
vote
1
answer
4
GATE Electrical 2021  GA Question: 2
A transparent square sheet shown above is folded along the dotted line. The folded sheet will look like ________________.
asked
Feb 20
in
Spatial Aptitude
by
Arjun
(
7.8k
points)
gateee2021
spatialaptitude
paperfolding
+1
vote
2
answers
5
GATE Electrical 2021  GA Question: 3
For a regular polygon having $10$ sides, the interior angle between the sides of the polygon, in degrees, is: $396$ $324$ $216$ $144$
asked
Feb 20
in
Spatial Aptitude
by
Arjun
(
7.8k
points)
gateee2021
spatialaptitude
patternsinthreedimensions
+1
vote
1
answer
6
GATE Electrical 2021  GA Question: 4
Which one of the following numbers is exactly divisible by $\left ( 11^{13} +1\right )$? $11^{26} +1$ $11^{33} +1$ $11^{39} 1$ $11^{52} 1$
asked
Feb 20
in
Numerical Ability
by
Arjun
(
7.8k
points)
gateee2021
numericalability
numbersystem
numbertheory
+1
vote
1
answer
7
GATE Electrical 2021  GA Question: 5
$\textit{Oasis}$ is to $\textit{sand}$ as $\textit{island}$ is to _____________ Which one of the following options maintains a similar logical relation in the above sentence? Stone Land Water Mountain
asked
Feb 20
in
Verbal Ability
by
Arjun
(
7.8k
points)
gateee2021
verbalability
wordpairs
+1
vote
1
answer
8
GATE Electrical 2021  GA Question: 6
The importance of sleep is often overlooked by students when they are preparing for exams. Research has consistently shown that sleep deprivation greatly reduces the ability to recall the material learnt. Hence, cutting down on sleep to study longer hours can ... he needs little or no sleep. To do well in an exam, adequate sleep must be part of the preparation.
asked
Feb 20
in
Verbal Ability
by
Arjun
(
7.8k
points)
gateee2021
verbalability
verbalreasoning
passagereading
+1
vote
1
answer
9
GATE Electrical 2021  GA Question: 7
In the figure shown above, each inside square is formed by joining the midpoints of the sides of the next larger square. The area of the smallest square (shaded) as shown, in $\text{cm}^{2}$ is: $12.50$ $6.25$ $3.125$ $1.5625$
asked
Feb 20
in
Numerical Ability
by
Arjun
(
7.8k
points)
gateee2021
numericalability
geometry
squares
area
+1
vote
1
answer
10
GATE Electrical 2021  GA Question: 8
Let $X$ be a continuous random variable denoting the temperature measured. The range of temperature is $[0, 100]$ degree Celsius and let the probability density function of $X$ be $f\left ( x \right )=0.01$ for $0\leq X\leq 100$. The mean of $X$ is __________ $2.5$ $5.0$ $25.0$ $50.0$
asked
Feb 20
in
Numerical Ability
by
Arjun
(
7.8k
points)
gateee2021
numericalability
probability
probabilitydensityfunction
expectation
+1
vote
1
answer
11
GATE Electrical 2021  GA Question: 9
The number of students passing or failing in an exam for a particular subject is presented in the bar chart above. Students who pass the exam cannot appear for the exam again. Students who fail the exam in the first attempt must appear for the exam in the following ... $65$ and $53$ $60$ and $50$ $55$ and $53$ $55$ and $48$
asked
Feb 20
in
Numerical Ability
by
Arjun
(
7.8k
points)
gateee2021
numericalability
datainterpretation
bargraph
+1
vote
1
answer
12
GATE Electrical 2021  GA Question: 10
Seven cars $\text{P, Q. R, S, T, U and V}$ are parked in a row not necessarily in that order. The cars $T$ and $U$ should be parked next to each other. The cars $S$ and $V$ also should be parked next to each other, whereas $P$ and $Q$ ... and $R$ are not parked together. $V$ is the only car parked in between $S$ and $R$. Car $P$ is parked at the extreme end.
asked
Feb 20
in
Analytical Aptitude
by
Arjun
(
7.8k
points)
gateee2021
analyticalaptitude
logicalreasoning
seatingarrangements
0
votes
1
answer
13
GATE Electrical 2021  Question: 1
Let $p$ and $q$ be real numbers such that $p^{2}+q^{2}=1$ . The eigenvalues of the matrix $\begin{bmatrix} p & q\\ q& p \end{bmatrix}$are $1$ and $1$ $1$ and $1$ $j$ and $j$ $pq$ and $pq$
asked
Feb 20
in
Linear Algebra
by
Arjun
(
7.8k
points)
gateee2021
linearalgebra
matrices
eigenvalues
0
votes
0
answers
14
GATE Electrical 2021  Question: 2
Let $p\left ( z\right )=z^{3}+\left ( 1+j \right )z^{2}+\left ( 2+j \right )z+3$, where $z$ ... $p\left ( z \right )=0$ come in conjugate pairs All the roots cannot be real
asked
Feb 20
in
Complex Variables
by
Arjun
(
7.8k
points)
gateee2021
complexvariables
complexnumber
0
votes
0
answers
15
GATE Electrical 2021  Question: 3
Let $f\left ( x \right )$ be a realvalued function such that ${f}'\left ( x_{0} \right )=0$ for some $x _{0} \in\left ( 0,1 \right ),$ and ${f}''\left ( x \right )> 0$ for all $x \in \left ( 0,1 \right )$ ... $(0,1)$ one local maximum in $(0,1)$ exactly one local minimum in $(0,1)$ two distinct local minima in $(0,1)$
asked
Feb 20
in
Calculus
by
Arjun
(
7.8k
points)
gateee2021
calculus
maximaminima
0
votes
0
answers
16
GATE Electrical 2021  Question: 4
For the network shown, the equivalent Thevenin voltage and Thevenin impedance as seen across terminals â€˜$\text{ab}$â€™ is $\text{10 V}$ in series with $12\:\Omega$ $\text{65 V}$ in series with $15\:\Omega$ $\text{50 V}$ in series with $2\:\Omega$ $\text{35 V}$ in series with $2\:\Omega$
asked
Feb 20
in
new
by
Arjun
(
7.8k
points)
gateee2021
0
votes
0
answers
17
GATE Electrical 2021  Question: 5
Which one of the following vector functions represents a magnetic field $\overrightarrow{B}$? $\text{($\hat{X}, \hat{Y}$ and $\hat{Z}$ are unit vectors along xaxis, yaxis, and zaxis, respectively)}$ $10x\hat{X}+20y\hat{Y}30z\hat{Z}$ $10y\hat{X}+20x\hat{Y}10z\hat{Z}$ $10z\hat{X}+20y\hat{Y}30x\hat{Z}$ $10x\hat{X}30z\hat{Y}+20y\hat{Z}$
asked
Feb 20
in
Calculus
by
Arjun
(
7.8k
points)
gateee2021
calculus
fieldvectors
0
votes
0
answers
18
GATE Electrical 2021  Question: 6
If the input $x(t)$ and output $y(t)$ of a system are related as $y\left ( t \right )=\text{max}\left ( 0,x\left ( t \right ) \right ),$ then the system is linear and timevariant linear and timeinvariant nonlinear and timevariant nonlinear and timeinvariant
asked
Feb 20
in
new
by
Arjun
(
7.8k
points)
gateee2021
0
votes
0
answers
19
GATE Electrical 2021  Question: 7
Two discretetime linear timeinvariant systems with impulse responses $h_{1}\left [ n \right ]=\delta \left [ n1 \right ]+\delta \left [ n+1 \right ]$ and $h_{2}\left [ n \right ]=\delta \left [ n\right ]+\delta \left [ n1 \right ]$ are connected in ... $\delta \left [ n\right ]\delta \left [ n1\right ]+\delta \left [ n2\right ]\delta \left [ n+1 \right ]$
asked
Feb 20
in
new
by
Arjun
(
7.8k
points)
gateee2021
0
votes
0
answers
20
GATE Electrical 2021  Question: 8
Consider the table given: ... $\text{PTY, QVZ, RSX}$ $\text{PUX, QVY, RTZ}$
asked
Feb 20
in
new
by
Arjun
(
7.8k
points)
gateee2021
0
votes
0
answers
21
GATE Electrical 2021  Question: 9
Consider a power system consisting of $N$ number of buses. Buses in this power system are categorized into slack bus, $PV$ buses and $PQ$ buses for load flow study. The number of $PQ$ buses is $N_{L}$. The balanced NewtonRaphson method is used to carry out load flow study ... $\left ( N1 \right )\times \left ( N1+N_{L} \right )$
asked
Feb 20
in
new
by
Arjun
(
7.8k
points)
gateee2021
0
votes
0
answers
22
GATE Electrical 2021  Question: 10
Two generators have cost functions $F_{1}$ and $F_{2}$ . Their incrementalcost characteristics are $\dfrac{dF_{1}}{dP_{1}}=40+0.2P_{1}$ $\dfrac{dF_{2}}{dP_{2}}=32+0.4P_{2}$ They need to deliver a combined load of $260$ $\text{MW}$. Ignoring the network losses, for ... $P_{1}=P_{2}=130$ $P_{1}=160, P_{2}=100$ $P_{1}=140, P_{2}=120$ $P_{1}=120, P_{2}=140$
asked
Feb 20
in
new
by
Arjun
(
7.8k
points)
gateee2021
0
votes
0
answers
23
GATE Electrical 2021  Question: 11
For the closedloop system shown, the transfer function $\dfrac{E\left ( s \right )}{R\left ( s \right )}$ is $\frac{G}{1+GH}$ $\frac{GH}{1+GH}$ $\frac{1}{1+GH}$ $\frac{1}{1+G}$
asked
Feb 20
in
new
by
Arjun
(
7.8k
points)
gateee2021
0
votes
0
answers
24
GATE Electrical 2021  Question: 12
Inductance is measured by Schering bridge Maxwell bridge Kelvin bridge Wien bridge
asked
Feb 20
in
new
by
Arjun
(
7.8k
points)
gateee2021
0
votes
0
answers
25
GATE Electrical 2021  Question: 13
Suppose the circles $x^{2}+y^{2}=1$ and $\left ( x1\right )^{2}+\left ( y1 \right )^{2}=r^{2}$ intersect each other orthogonally at the point $\left ( u,v \right )$. Then $u+v=$ _______________.
asked
Feb 20
in
Calculus
by
Arjun
(
7.8k
points)
gateee2021
numericalanswers
calculus
curves
0
votes
0
answers
26
GATE Electrical 2021  Question: 14
In the given circuit, the value of capacitor $C$ that makes current $I=0$ is ________________ $\mu F$.
asked
Feb 20
in
new
by
Arjun
(
7.8k
points)
gateee2021
numericalanswers
0
votes
0
answers
27
GATE Electrical 2021  Question: 15
Two singlecore power cables have total conductor resistances of $0.7\;\Omega$ and $0.5\;\Omega$, respectively, and their insulation resistances (between core and sheath) are $600\;M\Omega$ and $900\;M\Omega$, respectively. When the two cables are joined in series, the ratio of insulation resistance to conductor resistance is ___________$\times 10^{6}$.
asked
Feb 20
in
new
by
Arjun
(
7.8k
points)
gateee2021
numericalanswers
0
votes
0
answers
28
GATE Electrical 2021  Question: 16
In the given circuit, for voltage $V_y$ to be zero, the value of $\beta$ should be _________. (Round off to $2$ decimal places).
asked
Feb 20
in
new
by
Arjun
(
7.8k
points)
gateee2021
numericalanswers
0
votes
0
answers
29
GATE Electrical 2021  Question: 17
A $1\;\mu C$ point charge is held at the origin of a cartesian coordinate system. If a second point charge of $10\;\mu C$ is moved from $\left ( 0,10,0 \right )$ to $\left ( 5,5,5\right )$ and subsequently to $\left ( 5,0,0\right )$, ... decimal places). Take $\dfrac{1}{4\pi \varepsilon _{0}}=9\times 10^{9}$ in $\text{SI}$ units. All coordinates are in meters.
asked
Feb 20
in
new
by
Arjun
(
7.8k
points)
gateee2021
numericalanswers
0
votes
0
answers
30
GATE Electrical 2021  Question: 18
The power input to a $\text{500 V, 50 Hz, 6pole, 3phase}$ induction motor running at $975 \text{RPM}$ is $40 \text{ kW}$ . The total stator losses are $1 \text{ kW}$. If the total friction and windage losses are $2.025\text{ kW}$, then the efficiency is _____________$\%$.
asked
Feb 20
in
new
by
Arjun
(
7.8k
points)
gateee2021
numericalanswers
0
votes
0
answers
31
GATE Electrical 2021  Question: 19
An alternator with internal voltage of $1\angle \delta _{1}\text{p.u}$ and synchronous reactance of $\text{0.4 p.u}$ is connected by a transmission line of reactance $\text{0.1 p.u}$ ... $2$ decimal places.) (Machines are of nonsalient type. Neglect resistances.)
asked
Feb 20
in
new
by
Arjun
(
7.8k
points)
gateee2021
numericalanswers
0
votes
0
answers
32
GATE Electrical 2021  Question: 20
The Bode magnitude plot for the transfer function $\frac{V_{o}\left ( s \right )}{V_{i}\left ( s \right )}$ of the circuit is as shown. The value of $R$ is _____________$\Omega$. (Round off to $2$ decimal places.)
asked
Feb 20
in
new
by
Arjun
(
7.8k
points)
gateee2021
numericalanswers
0
votes
0
answers
33
GATE Electrical 2021  Question: 21
A signal generator having a source resistance of $50\:\Omega$ is set to generate a $\text{1 kHz}$ sinewave. Open circuit terminal voltage is $\text{10 V}$ peaktopeak. Connecting a capacitor across the terminals reduces the voltage to $\text{8 V}$ peaktopeak. The value of this capacitor is _____________$\mu F$. (Round off to $2$ decimal places.)
asked
Feb 20
in
new
by
Arjun
(
7.8k
points)
gateee2021
numericalanswers
0
votes
0
answers
34
GATE Electrical 2021  Question: 22
A $16$bit synchronous binary upcounter is clocked with a frequency $f_{\text{CLK}}$.The two most significant bits are $\text{ORed}$ together to form an output $Y$. Measurements show that $Y$ is periodic, and the duration for which $Y$ remains high ... $f_{\text{CLK}}$ is ____________$\text{MHz}.$ (Round off to $2$ decimal places.)
asked
Feb 20
in
new
by
Arjun
(
7.8k
points)
gateee2021
numericalanswers
0
votes
0
answers
35
GATE Electrical 2021  Question: 23
In the $\text{BJT}$ circuit shown, beta of the $\text{PNP}$ transistor is $100$. Assume $V_{\text{BE}}=0.7\;V$. The voltage across $R_{c}$ will be $\text{5 V}$ when $R_{2}$ is __________ $k \Omega$. (Round off to $2$ decimal places.)
asked
Feb 20
in
new
by
Arjun
(
7.8k
points)
gateee2021
numericalanswers
0
votes
0
answers
36
GATE Electrical 2021  Question: 24
In the circuit shown, the input $V_{i}$ is a sinusoidal $\text{AC}$ voltage having an $\text{RMS}$ value of $230\;V\pm 20\%$. The worstcase peakinverse voltage seen across any diode is ____________$V$. (Round off to $2$ decimal places.)
asked
Feb 20
in
new
by
Arjun
(
7.8k
points)
gateee2021
numericalanswers
0
votes
0
answers
37
GATE Electrical 2021  Question: 25
In the circuit shown, a $\text{5 V}$ Zener diode is used to regulate the voltage across load $R_{0}$. The input is an unregulated $DC$ voltage with a minimum value of $\text{6 V}$ and a maximum value of $\text{8 V}$ ... dissipation of $\text{2.5 W}$. Assuming the Zener diode to be ideal, the minimum value of $R_{0}$ is _________________ $\Omega$.
asked
Feb 20
in
new
by
Arjun
(
7.8k
points)
gateee2021
numericalanswers
0
votes
0
answers
38
GATE Electrical 2021  Question: 26
In the open interval $\left ( 0,1 \right )$, the polynomial $p\left ( x \right) =x^{4}4x^{3}+2$ has two real roots one real root three real roots no real roots
asked
Feb 20
in
Calculus
by
Arjun
(
7.8k
points)
gateee2021
calculus
polynomials
0
votes
0
answers
39
GATE Electrical 2021  Question: 27
Suppose the probability that a coin toss shows "head" is $p$, where $0<p<1$. The coin is tossed repeatedly until the first "head" appears. The expected number of tosses required is $p/\left ( 1p \right )$ $\left ( 1p \right )/p$ $1/p$ $1/p^{2}$
asked
Feb 20
in
new
by
Arjun
(
7.8k
points)
gateee2021
probabilityandstatistics
probability
0
votes
0
answers
40
GATE Electrical 2021  Question: 28
Let $\left ( 1 j \right ), \left ( 3 j \right ), \left ( 3 + j \right )$ and $\left ( 1+ j \right )$ be the vertices of a rectangle $C$ in the complex plane. Assuming that $C$ is traversed in counterclockwise direction, the value of the contour integral $\oint _{C}\dfrac{dz}{z^{2}\left ( z4 \right )}$ is $j\pi /2$ $0$ $j\pi /8$ $j\pi /16$
asked
Feb 20
in
Calculus
by
Arjun
(
7.8k
points)
gateee2021
calculus
contourplots
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