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1
Gate EE2014
For a peridic square wave ,which one of the following statements is TRUE? 1). The fourieF series coefficients do not exist 2).The Fourier series coefficients exist but the reconstruction converges at most point. I know the correct answer is 2). But I need some explanation.
asked
Jul 8, 2018
in
Signals and Systems
by
Shaurya khare
(
130
points)
+1
vote
1
answer
2
GATE201721
An urn contains $5$ red balls and $5$ black balls. In the first draw, one ball is picked at random and discarded without noticing its colour. The probability to get a Red ball in the second draw is $\frac{1}{2} \\$ $\frac{4}{9} \\$ $\frac{5}{9} \\$ $\frac{6}{9} $
asked
Feb 27, 2017
in
new
by
Arjun
(
5.4k
points)
gate2017ee2
+1
vote
0
answers
3
GATE2014321
A state diagram of a logic gate which exhibits a delay in the output is shown in the figure, where $X$ is the don’t care condition, and $Q$ is the output representing the state. The logic gate represented by the state diagram is $XOR$ $OR$ $AND$ $NAND$
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee3
delayfunction
latches
+1
vote
1
answer
4
GATE201422
Consider a dice with the property that the probability of a face with $n$ dots showing up is proportional to $n$. The probability of the face with three dots showing up is ________.
asked
Feb 12, 2017
in
Probability & Statistics
by
makhdoom ghaya
(
9.2k
points)
gate2014ee2
event
randomvariable
+1
vote
0
answers
5
GATE2016238
The single line diagram of a balanced power system is shown in the figure. The voltage magnitude at the generator internal bus is constant and $1.0$ p.u. The p.u. reactances of different components in the system are also shown in the figure ... can be transferred during the prefault condition to the maximum real power that can be transferred under the faulted condition is _________.
asked
Jan 30, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2016ee2
singlelinediagram
threephasefault
prefaultcondition
0
votes
0
answers
6
Gate2006EE
...
asked
Sep 29
in
Linear Algebra
by
Kushagra गुप्ता
(
120
points)
gate2006ee
linearalgebra
0
votes
1
answer
7
GATE2019 EE: GA1
I am not sure if the bus that has been booked will be able to ______ all the students. sit deteriorate fill accommodate
asked
Feb 12
in
Verbal Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
verbalability
mostappropriateword
0
votes
1
answer
8
GATE2019 EE: GA2
The passengers were angry ______ the airline staff about the delay. on about with towards
asked
Feb 12
in
Verbal Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
verbalability
prepositions
0
votes
0
answers
9
GATE2019 EE: GA3
The missing number in the given sequence $343,1331,$_____$,4913$ is $3375$ $2744$ $2197$ $4096$
asked
Feb 12
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
numericalability
sequenceseries
0
votes
0
answers
10
GATE2019 EE: GA4
It takes two hours for a person $X$ to mow the lawn. $Y$ can mow the same lawn in four hours. How long (in minutes) will it take $X$ and $Y,$ if they work together to mow the lawn$?$ $60$ $80$ $90$ $120$
asked
Feb 12
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
numericalability
worktime
0
votes
1
answer
11
GATE2019 EE: GA5
Newspapers are a constant source of delight and recreation for me. The ________ trouble is that I read _______ many of them. even, quite even, too only, quite only, too
asked
Feb 12
in
Verbal Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
verbalability
mostappropriateword
0
votes
0
answers
12
GATE2019 EE: GA6
How many integers are there between $100$ and $1000$ all of whose digits are even? $60$ $80$ $100$ $90$
asked
Feb 12
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
numericalability
arithmeticseries
0
votes
0
answers
13
GATE2019 EE: GA7
The ration of the number of boys and girls who participated in an examination is $4:3.$ The total percentage of candidates who passed the examination is $80$ and the percentage of girls who passed the exam is $90.$ The percentage of boys who passed is _______. $55.50$ $72.50$ $80.50$ $90.00$
asked
Feb 12
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
numericalability
ratioproportion
percentage
0
votes
0
answers
14
GATE2019 EE: GA8
An awardwinning study by a group of researchers suggests that men are as prone to buying on impulse as women but women feel more guilty about shopping. which one of the following statements can be inferred from the given text? Some men and women indulge ... indulge in buying on impulse Few men and women indulge in buying on impulse Many men and women indulge in buying on impulse
asked
Feb 12
in
Verbal Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
verbalability
passagereading
0
votes
0
answers
15
GATE2019 EE: GA9
Given two sets $X=\{1,2,3\}$ and $Y=\{2,3,4\},$ we construct a set $Z$ of all possible fractions where the numerators belong to set $X$ and the denominators belong to set $Y.$ The product of elements having minimum and maximum values in the set $Z$ is _____. $1/12$ $1/8$ $1/6$ $3/8$
asked
Feb 12
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
numericalability
sets
0
votes
0
answers
16
GATE2019 EE: GA10
Consider five people Mita, Ganga, Rekha, Lakshmi, and Sana. Ganga is taller than both Rekha and Lakshmi. Lakshmi is taller than Sana. Mita is taller than Ganga. Which of the following conclusions are true? Lakshmi is taller than Rekha Rekha is shorter than Mita Rekha is taller than Sana Sana is shorter than Ganga $1$ and $3$ $3$ only $2$ and $4$ $1$ only
asked
Feb 12
in
Verbal Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
verbalability
verbalreasoning
0
votes
0
answers
17
GATE2019 EE: 1
The inverse Laplace transform of $H(s)=\frac{s+3}{s^{2}+2s+1}$ for $t \geq0$ $3te^{t}+e^{t}$ $3e^{t}$ $2te^{t}+e^{t}$ $4te^{t}+e^{t}$
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
1
answer
18
GATE2019 EE: 2
$M$ is $2 \times 2$ matrix with eigenvalues $4$ and $9.$ The eigenvalues of $M^{2}$ are $4$ and $9$ $2$ and $3$ $2$ and $3$ $16$ and $81$
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
19
GATE2019 EE: 3
The partial differential equation $\frac{\partial^{2}u}{\partial t^{2}} C^{2} \bigg( \frac{\partial^{2}u}{\partial x^{2}}+\frac{\partial^{2}u}{\partial y^{2}} \bigg )=0;$ where $c \neq 0$ is known as heat equation wave equation Poisson’s equation Laplace equation
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
20
GATE2019 EE: 4
Which one of the following functions is analytic in the region $\mid z \mid \leq 1$ ? $\frac{z^{2}1}{z} \\ $ $\frac{z^{2}1}{z+2} \\ $ $\frac{z^{2}1}{z0.5} \\ $ $\frac{z^{2}1}{z+j0.5} $
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
21
GATE2019 EE: 5
The meansquare of a zeromean random process is $\frac{kT}{c},$ where $k$ is Boltzmann’s constant, $T$ is the absolute temperature, and $C$ is a capacitance. The standard deviation of the random process is $\frac{kT}{c} \\ $ $\sqrt{\frac{kT}{c}} \\ $ $\frac{c}{kT} \\ $ $\frac{\sqrt{kT}}{c}$
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
22
GATE2019 EE: 6
A system transfer function is $H(s)= \frac{a_{1}s^{2}+b_{1}s+c_{1}}{a_{2}s^{2}+b_{2}s+c_{2}}.$ If $a_{1}=b_{1}=0,$ and all the other coefficient are positive, the transfer function represents a low pass filter high pass filter band pass filter notch filter
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
23
GATE2019 EE: 7
The symbols, $a$ and $T,$ represent positive quantities, and $u(t)$ is the unit step function. Which one of the following impulse responses is NOT the output of a causal linear timeinvariant system? $e^{+at}u(t)$ $e^{a(t+T)}u(t)$ $1+e^{at}u(t)$ $e^{a(tT)}u(t)$
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
24
GATE2019 EE: 8
A $5kVA, 50V/100V,$ singlephase transformer has a secondary terminal voltage of $95V$ when loaded. The regulation of the transformer is $4.5\%$ $9\%$ $5\%$ $1\%$
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
25
GATE2019 EE: 9
A sixpulse thyristor bridge rectifier is connected to a balanced threephase, $50Hz$ AC source. Assuming that the DC output current of the rectifier is constant, the lowest harmonic component in the AC input current is $100 Hz$ $150 Hz$ $250 Hz$ $300 Hz$
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
26
GATE2019 EE: 10
The parameter of an equivalent circuit of a threephase induction motor affected by reducing the rms value of the supply voltage at the rated frequency is rotor resistance rotor leakage reactance magnetizing reactance stator resistance
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
27
GATE2019 EE: 11
A threephase synchronous motor draws $200 A$ from the line at unity power factor at rated load. Considering the same line voltage and load, the line current at a power factor of $0.5$ leading is $100 \: A$ $200 \: A$ $300 \: A$ $400 \: A$
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
28
GATE2019 EE: 12
In the circuit shown below, the switch is closed at $t=0$. The value of $\theta$ in degrees which will give the maximum value of DC offset of the current at the time of switching is $60$ $45$ $90$ $30$
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
29
GATE2019 EE: 13
The output response of a system is denoted as $y(t)$, and its Laplace transform is given by $Y(s)=\frac{10}{s(s^{2}+s+100 \sqrt{2})}$ The steady state value of $y(t)$ is $\frac{1}{10 \sqrt{2}} \\ $ $10 \sqrt{2} \\ $ $\frac{1}{100 \sqrt{2}} \\ $ $100 \sqrt{2}$
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
30
GATE2019 EE: 14
The open loop transfer function of a unity feedback system is given by $G(s)=\frac{\pi e^{0.25s}}{s}$ In $G(s)$ plane, the Nyquist plot of $G(s)$ passes through the negative real axis at the point $(0.5,j0)$ $(0.75,j0)$ $(1.25,j0)$ $(1.5,j0)$
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
31
GATE2019 EE: 15
The characteristic equation of a linear timeinvariant (LTI) system is given by $\Delta(s)=s^{4}+3s^{3}+3s^{2}+s+k=0$ The system is BIBO stable if $0<K<\frac{12}{9}$ $k>3$ $0<k<\frac{8}{9}$ $k>6$
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
32
GATE2019 EE: 16
Given, $V_{gs}$ is the gatesource voltage, $V_{ds}$ is the drain source voltage, and $V_{th}$ is the threshold voltage of an enhancement type NMOS transistor, the conditions for transistor to be biased in saturation are $V_{gs}<V_{th};V_{ds}\geq V_{gs}V_{th}$ ... $V_{gs}>V_{th};V_{ds}\leq V_{gs}V_{th}$ $V_{gs}<V_{th};V_{ds}\leq V_{gs}V_{th}$
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
33
GATE2019 EE: 17
A current controlled current source (CCCS) has an input impedance of $10 \: \Omega$ and output impedance of $100 \: k\Omega$. When this CCCS is used in a negative feedback closed loop with a loop gain of $9$, the closed loop output impedance is $10 \: \Omega$ $100 \: \Omega$ $100 \: k \Omega$ $1000 \: k \Omega$
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
34
GATE2019 EE: 18
If $f=2x^{3}+3y^{2}+4z$, the value of line integral $\int_{c} \text{grad}f \cdot d \textbf{r}$ evaluated over contour $C$ formed by the segments $(3,3,2)\rightarrow(2,3,2)\rightarrow(2,6,2) \rightarrow(2,6,1) $ is___________.
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
numericalanswers
0
votes
0
answers
35
GATE2019 EE: 19
The current $I$ is flowing in the circuit shown below in amperes (round off to one decimal place) is _________
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
numericalanswers
0
votes
0
answers
36
GATE2019 EE: 20
A coaxial Cylindrical capacitor is shown in the Figure(i) has dielectric with relative permittivity $\varepsilon_{r1} = 2$. When one – fourth portion of the dielectric is replaced with another dielectric of relative permittivity $\varepsilon_{r2}$, as shown in the Figure(ii), the capacitance is doubled. The value of $\varepsilon_{r2}$ is _________.
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
numericalanswers
0
votes
0
answers
37
GATE2019 EE: 21
The $Y_{\text{bus}}$ matrix of a twobus power system having two identical parallel lines connected between them in pu is given as $Y_{\text{bus}} = \begin{bmatrix} j8 & j20 \\ j20& j8 \end{bmatrix}$The magnitude of the series reactance of each line in pu (round off upto one decimal place) is__________.
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
numericalanswers
0
votes
0
answers
38
GATE2019 EE: 22
Five alternators each rated $5$ MVA, $13.2$ kV with $25 \%$ of reactance on its own base are connected in parallel to a busbar. The short circuit level in MVA at the busbar is ____________
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
numericalanswers
0
votes
0
answers
39
GATE2019 EE: 23
The total impedance of the secondary winding, leads, and burden of a $5$ A CT is $0.01 \: \Omega$. If the fault current is $20$ times the rated primary current of the CT, the VA output of the CT is_________
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
numericalanswers
0
votes
1
answer
40
GATE2019 EE: 24
The rank of the matrix, $M = \begin{bmatrix} 0 &1 &1 \\ 1& 0 &1 \\ 1& 1 & 0 \end{bmatrix}$, is ______________.
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
numericalanswers
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