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Recent questions tagged gateee-2021
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1
GATE Electrical 2021 | GA Question: 1
The people _______________ were at the demonstration were from all sections of society. whose which who whom
Arjun
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in
Verbal Aptitude
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
verbal-ability
english-grammar
easy
1
vote
1
answer
2
GATE Electrical 2021 | GA Question: 2
A transparent square sheet shown above is folded along the dotted line. The folded sheet will look like ________________.
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in
Spatial Aptitude
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
spatial-aptitude
paper-folding
1
vote
2
answers
3
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: $396$ $324$ $216$ $144$
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in
Spatial Aptitude
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
spatial-aptitude
patterns-in-three-dimensions
2
votes
2
answers
4
GATE Electrical 2021 | GA Question: 4
Which one of the following numbers is exactly divisible by $\left ( 11^{13} +1\right )$? $11^{26} +1$ $11^{33} +1$ $11^{39} -1$ $11^{52} -1$
Arjun
asked
in
Quantitative Aptitude
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
numerical-ability
number-system
number-theory
1
vote
1
answer
5
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
Arjun
asked
in
Verbal Aptitude
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
verbal-ability
word-pairs
1
vote
1
answer
6
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.
Arjun
asked
in
Verbal Aptitude
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
verbal-ability
verbal-reasoning
passage-reading
1
vote
1
answer
7
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: $12.50$ $6.25$ $3.125$ $1.5625$
Arjun
asked
in
Quantitative Aptitude
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
numerical-ability
geometry
squares
area
1
vote
1
answer
8
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 __________ $2.5$ $5.0$ $25.0$ $50.0$
Arjun
asked
in
Quantitative Aptitude
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
numerical-ability
probability
probability-density-function
expectation
1
vote
1
answer
9
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 $48$
Arjun
asked
in
Quantitative Aptitude
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
numerical-ability
data-interpretation
bar-graph
1
vote
1
answer
10
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.
Arjun
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in
Analytical Aptitude
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
analytical-aptitude
logical-reasoning
seating-arrangements
0
votes
1
answer
11
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 $-pq$
Arjun
asked
in
Linear Algebra
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
linear-algebra
matrices
eigen-values
0
votes
0
answers
12
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
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in
Complex Variables
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
complex-variables
complex-number
0
votes
0
answers
13
GATE Electrical 2021 | Question: 3
Let $f\left ( x \right )$ be a real-valued 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 $(0,1)$
Arjun
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in
Calculus
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
calculus
maxima-minima
0
votes
0
answers
14
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 $2\:\Omega$
Arjun
asked
in
new
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
0
votes
0
answers
15
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 x-axis, y-axis, and z-axis, respectively)}$ $10x\hat{X}+20y\hat{Y}-30z\hat{Z}$ $10y\hat{X}+20x\hat{Y}-10z\hat{Z}$ $10z\hat{X}+20y\hat{Y}-30x\hat{Z}$ $10x\hat{X}-30z\hat{Y}+20y\hat{Z}$
Arjun
asked
in
Calculus
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
calculus
field-vectors
0
votes
0
answers
16
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 time-variant linear and time-invariant non-linear and time-variant non-linear and time-invariant
Arjun
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in
new
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
0
votes
0
answers
17
GATE Electrical 2021 | Question: 7
Two discrete-time linear time-invariant systems with impulse responses $h_{1}\left [ n \right ]=\delta \left [ n-1 \right ]+\delta \left [ n+1 \right ]$ and $h_{2}\left [ n \right ]=\delta \left [ n\right ]+\delta \left [ n-1 \right ]$ are connected in ... $\delta \left [ n\right ]\delta \left [ n-1\right ]+\delta \left [ n-2\right ]\delta \left [ n+1 \right ]$
Arjun
asked
in
new
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
0
votes
0
answers
18
GATE Electrical 2021 | Question: 8
Consider the table given: ... $\text{P-T-Y, Q-V-Z, R-S-X}$ $\text{P-U-X, Q-V-Y, R-T-Z}$
Arjun
asked
in
new
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
0
votes
0
answers
19
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 Newton-Raphson method is used to carry out load flow study ... $\left ( N-1 \right )\times \left ( N-1+N_{L} \right )$
Arjun
asked
in
new
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
0
votes
0
answers
20
GATE Electrical 2021 | Question: 10
Two generators have cost functions $F_{1}$ and $F_{2}$ . Their incremental-cost 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 ... $P_{1}=P_{2}=130$ $P_{1}=160, P_{2}=100$ $P_{1}=140, P_{2}=120$ $P_{1}=120, P_{2}=140$
Arjun
asked
in
new
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
0
votes
0
answers
21
GATE Electrical 2021 | Question: 11
For the closed-loop system shown, the transfer function $\dfrac{E\left ( s \right )}{R\left ( s \right )}$ is $\frac{G}{1+GH}$ $\frac{GH}{1+GH}$ $\frac{1}{1+GH}$ $\frac{1}{1+G}$
Arjun
asked
in
new
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
0
votes
0
answers
22
GATE Electrical 2021 | Question: 12
Inductance is measured by Schering bridge Maxwell bridge Kelvin bridge Wien bridge
Arjun
asked
in
new
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
0
votes
0
answers
23
GATE Electrical 2021 | Question: 13
Suppose the circles $x^{2}+y^{2}=1$ and $\left ( x-1\right )^{2}+\left ( y-1 \right )^{2}=r^{2}$ intersect each other orthogonally at the point $\left ( u,v \right )$. Then $u+v=$ _______________.
Arjun
asked
in
Calculus
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
numerical-answers
calculus
curves
0
votes
0
answers
24
GATE Electrical 2021 | Question: 14
In the given circuit, the value of capacitor $C$ that makes current $I=0$ is ________________ $\mu F$.
Arjun
asked
in
new
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
numerical-answers
0
votes
0
answers
25
GATE Electrical 2021 | Question: 15
Two single-core 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 ___________$\times 10^{6}$.
Arjun
asked
in
new
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
numerical-answers
0
votes
0
answers
26
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).
Arjun
asked
in
new
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
numerical-answers
0
votes
0
answers
27
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.
Arjun
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in
new
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
numerical-answers
0
votes
0
answers
28
GATE Electrical 2021 | Question: 18
The power input to a $\text{500 V, 50 Hz, 6-pole, 3-phase}$ 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 _____________$\%$.
Arjun
asked
in
new
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
numerical-answers
0
votes
0
answers
29
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 non-salient type. Neglect resistances.)
Arjun
asked
in
new
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
numerical-answers
0
votes
0
answers
30
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.)
Arjun
asked
in
new
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
numerical-answers
0
votes
0
answers
31
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 $\text{10 V}$ peak-to-peak. Connecting a capacitor across the terminals reduces the voltage to $\text{8 V}$ peak-to-peak. The value of this capacitor is _____________$\mu F$. (Round off to $2$ decimal places.)
Arjun
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in
new
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
numerical-answers
0
votes
0
answers
32
GATE Electrical 2021 | Question: 22
A $16$-bit synchronous binary up-counter is clocked with a frequency $f_{\text{CLK}}$.The two most significant bits are $\text{OR-ed}$ 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.)
Arjun
asked
in
new
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
numerical-answers
0
votes
0
answers
33
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.)
Arjun
asked
in
new
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
numerical-answers
0
votes
0
answers
34
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 worst-case peak-inverse voltage seen across any diode is ____________$V$. (Round off to $2$ decimal places.)
Arjun
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in
new
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
numerical-answers
0
votes
0
answers
35
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 _________________ $\Omega$.
Arjun
asked
in
new
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
numerical-answers
0
votes
0
answers
36
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
Arjun
asked
in
Calculus
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
calculus
polynomials
0
votes
0
answers
37
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 $p/\left ( 1-p \right )$ $\left ( 1-p \right )/p$ $1/p$ $1/p^{2}$
Arjun
asked
in
new
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
probability-and-statistics
probability
0
votes
0
answers
38
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 counter-clockwise direction, the value of the contour integral $\oint _{C}\dfrac{dz}{z^{2}\left ( z-4 \right )}$ is $j\pi /2$ $0$ $-j\pi /8$ $j\pi /16$
Arjun
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in
Calculus
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
calculus
contour-plots
0
votes
0
answers
39
GATE Electrical 2021 | Question: 29
In the circuit, switch '$S$' is in the closed position for a very long time. If the switch is opened at time $t = 0$, then in $i_{L} (t)$ amperes, for $t\geq0$ is $8e^{-10t}$ $10$ $8+2e^{-10t}$ $10\left ( 1-e^{-2t} \right )$
Arjun
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in
new
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
0
votes
0
answers
40
GATE Electrical 2021 | Question: 30
The input impedance, $Z_{in}\left ( s \right )$ for the network shown is $\frac{23s^{2}+46s+20}{4s+5}$ $6s+4$ $7s+4$ $\frac{25s^{2}+46s+20}{4s+5}$
Arjun
asked
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new
Feb 20, 2021
by
Arjun
9.2k
points
gateee-2021
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