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Recent questions tagged gate2019-ee
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GATE Electrical 2019 | GA Question: 1
I am not sure if the bus that has been booked will be able to ______ all the students. sit deteriorate fill accommodate
Arjun
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Verbal Aptitude
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
verbal-ability
most-appropriate-word
0
votes
1
answer
2
GATE Electrical 2019 | GA Question: 2
The passengers were angry ______ the airline staff about the delay. on about with towards
Arjun
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Verbal Aptitude
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
verbal-ability
prepositions
0
votes
1
answer
3
GATE Electrical 2019 | GA Question: 3
The missing number in the given sequence $343,1331,$_____$,4913$ is $3375$ $2744$ $2197$ $4096$
Arjun
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Analytical Aptitude
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
analytical-aptitude
logical-reasoning
sequence-series
0
votes
0
answers
4
GATE Electrical 2019 | GA Question: 4
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$?$ $60$ $80$ $90$ $120$
Arjun
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Quantitative Aptitude
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
numerical-ability
work-time
0
votes
1
answer
5
GATE Electrical 2019 | GA Question: 5
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
Arjun
asked
in
Verbal Aptitude
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
verbal-ability
most-appropriate-word
0
votes
1
answer
6
GATE Electrical 2019 | GA Question: 6
How many integers are there between $100$ and $1000$ all of whose digits are even? $60$ $80$ $100$ $90$
Arjun
asked
in
Quantitative Aptitude
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
numerical-ability
arithmetic-series
0
votes
1
answer
7
GATE Electrical 2019 | GA Question: 7
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 _______. $55.50$ $72.50$ $80.50$ $90.00$
Arjun
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in
Quantitative Aptitude
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
numerical-ability
percentage
0
votes
0
answers
8
GATE Electrical 2019 | GA Question: 8
An award-winning 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 ... in buying on impulse Few men and women indulge in buying on impulse Many men and women indulge in buying on impulse
Arjun
asked
in
Verbal Aptitude
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
verbal-ability
verbal-reasoning
statements-follow
0
votes
0
answers
9
GATE Electrical 2019 | GA Question: 9
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 _____. $1/12$ $1/8$ $1/6$ $3/8$
Arjun
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in
Quantitative Aptitude
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
numerical-ability
numerical-computation
1
vote
1
answer
10
GATE Electrical 2019 | GA Question: 10
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
Arjun
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in
Analytical Aptitude
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
analytical-aptitude
logical-reasoning
0
votes
0
answers
11
GATE Electrical 2019 | Question: 1
The inverse Laplace transform of $H(s)=\frac{s+3}{s^{2}+2s+1}$ for $t \geq0$ $3te^{-t}+e^{-t}$ $3e^{-t}$ $2te^{-t}+e^{-t}$ $4te^{-t}+e^{-t}$
Arjun
asked
in
Transform Theory
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
transform-theory
laplace-transform
inverse-laplace-transform
0
votes
1
answer
12
GATE Electrical 2019 | Question: 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 $81$
Arjun
asked
in
Linear Algebra
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
linear-algebra
matrices
eigen-values
0
votes
0
answers
13
GATE Electrical 2019 | Question: 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
Arjun
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Differential Equations
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
differential-equations
partial-differential-equation
0
votes
0
answers
14
GATE Electrical 2019 | Question: 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}{z-0.5} \\ $ $\frac{z^{2}-1}{z+j0.5} $
Arjun
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in
Complex Variables
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
complex-variables
analytic-functions
0
votes
0
answers
15
GATE Electrical 2019 | Question: 5
The mean-square of a zero-mean 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} \\ $ $\frac{\sqrt{kT}}{c}$
Arjun
asked
in
new
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
probability-and-statistics
probability
standard-deviation
0
votes
0
answers
16
GATE Electrical 2019 | Question: 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
Arjun
asked
in
new
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
0
votes
0
answers
17
GATE Electrical 2019 | Question: 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 time-invariant system? $e^{+at}u(t)$ $e^{-a(t+T)}u(t)$ $1+e^{-at}u(t)$ $e^{-a(t-T)}u(t)$
Arjun
asked
in
new
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
0
votes
0
answers
18
GATE Electrical 2019 | Question: 8
A $5kVA, 50V/100V,$ single-phase transformer has a secondary terminal voltage of $95V$ when loaded. The regulation of the transformer is $4.5\%$ $9\%$ $5\%$ $1\%$
Arjun
asked
in
new
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
0
votes
0
answers
19
GATE Electrical 2019 | Question: 9
A six-pulse thyristor bridge rectifier is connected to a balanced three-phase, $50Hz$ AC source. Assuming that the DC output current of the rectifier is constant, the lowest harmonic component in the AC input current is $100 Hz$ $150 Hz$ $250 Hz$ $300 Hz$
Arjun
asked
in
new
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
0
votes
0
answers
20
GATE Electrical 2019 | Question: 10
The parameter of an equivalent circuit of a three-phase 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
Arjun
asked
in
new
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
0
votes
0
answers
21
GATE Electrical 2019 | Question: 11
A three-phase 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 $100 \: A$ $200 \: A$ $300 \: A$ $400 \: A$
Arjun
asked
in
new
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
0
votes
0
answers
22
GATE Electrical 2019 | Question: 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 $60$ $-45$ $90$ $-30$
Arjun
asked
in
new
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
0
votes
0
answers
23
GATE Electrical 2019 | Question: 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}} \\ $ $100 \sqrt{2}$
Arjun
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in
Transform Theory
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
transform-theory
laplace-transform
0
votes
0
answers
24
GATE Electrical 2019 | Question: 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 $(-0.5,j0)$ $(-0.75,j0)$ $(-1.25,j0)$ $(-1.5,j0)$
Arjun
asked
in
new
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
0
votes
0
answers
25
GATE Electrical 2019 | Question: 15
The characteristic equation of a linear time-invariant (LTI) system is given by $\Delta(s)=s^{4}+3s^{3}+3s^{2}+s+k=0$ The system is BIBO stable if $0<K<\frac{12}{9}$ $k>3$ $0<k<\frac{8}{9}$ $k>6$
Arjun
asked
in
new
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
0
votes
0
answers
26
GATE Electrical 2019 | Question: 16
Given, $V_{gs}$ is the gate-source 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 $V_{gs}<V_{th};V_{ds}\geq V_{gs}-V_{th}$ ... $V_{gs}>V_{th};V_{ds}\leq V_{gs}-V_{th}$ $V_{gs}<V_{th};V_{ds}\leq V_{gs}-V_{th}$
Arjun
asked
in
new
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
0
votes
0
answers
27
GATE Electrical 2019 | Question: 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 $10 \: \Omega$ $100 \: \Omega$ $100 \: k \Omega$ $1000 \: k \Omega$
Arjun
asked
in
new
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
0
votes
0
answers
28
GATE Electrical 2019 | Question: 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___________.
Arjun
asked
in
Calculus
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
numerical-answers
calculus
line-integral
0
votes
0
answers
29
GATE Electrical 2019 | Question: 19
The current $I$ is flowing in the circuit shown below in amperes (round off to one decimal place) is _________
Arjun
asked
in
new
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
numerical-answers
0
votes
0
answers
30
GATE Electrical 2019 | Question: 20
A co-axial 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 _________.
Arjun
asked
in
new
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
numerical-answers
0
votes
1
answer
31
GATE Electrical 2019 | Question: 24
The rank of the matrix, $M = \begin{bmatrix} 0 &1 &1 \\ 1& 0 &1 \\ 1& 1 & 0 \end{bmatrix}$, is ______________.
Arjun
asked
in
Linear Algebra
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
numerical-answers
linear-algebra
matrices
rank-of-matrix
0
votes
0
answers
32
GATE Electrical 2019 | Question: 25
The output voltage of a single-phase full-bridge voltage source inverter is controlled by unipolar PWM with one pulse per half cycle. For the fundamental rms Component of the output voltage to be $75 \%$ of DC voltage, the required pulse width in degrees (round off up to one decimal place) is ___________.
Arjun
asked
in
new
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
numerical-answers
0
votes
0
answers
33
GATE Electrical 2019 | Question: 26
Consider a $2\times 2$ matrix $M=\begin{bmatrix} v_1 & v_2 \end{bmatrix}$, where $v_1$ and $v_2$ are the column vectors. Suppose $M^{-1}=\begin{bmatrix} u_1^T \\ u_2^T \end{bmatrix}$, where $u_1^T$ and $u_2^T$ are ... True and Statement $2$ is false Statement $2$ is true and Statement $1$ is false Both the Statements are true Both the statements are false
Arjun
asked
in
Linear Algebra
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
linear-algebra
matrices
eigen-values
eigen-vectors
0
votes
0
answers
34
GATE Electrical 2019 | Question: 27
The closed-loop line integral $\underset{\mid z \mid = 5}{\oint} \frac{z^3 + z^2 + 8}{z+2}dz$ evaluated Counter-clockwise, is $+8 j \pi$ $-8 j \pi$ $-4 j \pi$ $+4 j \pi$
Arjun
asked
in
Complex Variables
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
complex-variables
cauchys-integral-theorem
line-integral
0
votes
0
answers
35
GATE Electrical 2019 | Question: 28
A periodic function $f(t)$, with a period of $2 \pi$, is represented as its Fourier series, $f(t) = a_0 + \sum_{n=1}^{\infty }a_n \cos nt + \sum_{n=1}^{\infty} b_n \sin nt.$ ... $a_1 = \frac{A}{2}; \: b_1 = 0$ $a_1 = 0; \: b_1 = \frac{A}{\pi}$ $a_1 = 0;b_1 = \frac{A}{2}$
Arjun
asked
in
Calculus
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
calculus
fourier-series
0
votes
0
answers
36
GATE Electrical 2019 | Question: 29
The asymptotic Bode magnitude plot of a minimum phase transfer function $G(s)$ is shown below. Consider the following two statements. Statement I: Transfer function $G(s)$ has three poles and one zero. Statement II: At very high frequency ... II is false Statement I is false and statement II is true Both the statements are true Both the statements are false
Arjun
asked
in
new
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
0
votes
0
answers
37
GATE Electrical 2019 | Question: 30
The transfer function of a phase lead compensator is given by $D(s) = \frac{3 \bigg( s+ \frac{1}{3T} \bigg)}{ \bigg( s+ \frac{1}{T} \bigg)}$ The frequency (in rad/sec), at which $\angle D(j \omega)$ is maximum, is $\sqrt{\frac{3}{T^2}}$ $\sqrt{\frac{1}{3T^2}}$ $\sqrt{3T}$ $\sqrt{3T^2}$
Arjun
asked
in
new
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
0
votes
0
answers
38
GATE Electrical 2019 | Question: 31
Consider a state-variable model of a system $\begin{bmatrix} x_1 \\ x_2 \end{bmatrix} = \begin{bmatrix} 0 & 1 \\ -\alpha & - 2 \beta \end{bmatrix} \begin{bmatrix} x_1 \\ x_2 \end{bmatrix} + \begin{bmatrix} 0 \\ \alpha \end{bmatrix} r $ ... $\omega_n = \sqrt{\beta}$ $\xi = \sqrt{\beta} $; $\omega_n = \sqrt{\alpha} $
Arjun
asked
in
new
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
0
votes
0
answers
39
GATE Electrical 2019 | Question: 32
A moving coil instrument having a resistance of $10 \: \Omega$, gives a full-scale deflection when the current is $10$ mA. What should be the value of the series resistance, so that it can be used as a voltmeter for measuring potential difference up to $100$ V? $9 \: \Omega$ $99 \: \Omega$ $990 \: \Omega$ $9990 \: \Omega$
Arjun
asked
in
new
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
0
votes
0
answers
40
GATE Electrical 2019 | Question: 33
The enhancement type MOSFET in the circuit below operates according to the square law. $\mu _nC_{ox} =100 \: \mu A /V^2$, the threshold voltage $(V_T)$ is $500$ mV. Ignore channel length modulation. The output voltage $V_{\text{out}}$ is $100$ mV $500$ mV $600$ mV $2$ V
Arjun
asked
in
new
Feb 12, 2019
by
Arjun
9.3k
points
gate2019-ee
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