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1

GATE2019 EE: 24
The Rank of the matrix, $M = \begin{bmatrix} 0 &1 &1 \\ 1& 0 &1 \\ 1& 1 & 0 \end{bmatrix}$, is ______________.

answered May 29 in new by Shalini26 (520 points)

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2

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 $81$

answered May 29 in new by Shalini26 (520 points)

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3

GATE2019 EE: GA-1
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)

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4

GATE2019 EE: GA-2
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)

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5

GATE2019 EE: GA-3
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)

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6

GATE2019 EE: GA-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$?$ $60$ $80$ $90$ $120$

asked Feb 12 in Numerical Ability by Arjun (5.4k points)

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7

GATE2019 EE: GA-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

asked Feb 12 in Verbal Ability by Arjun (5.4k points)

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8

GATE2019 EE: GA-6
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)

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9

GATE2019 EE: GA-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 _______. $55.50$ $72.50$ $80.50$ $90.00$

asked Feb 12 in Numerical Ability by Arjun (5.4k points)

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10

GATE2019 EE: GA-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 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)

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11

GATE2019 EE: GA-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 _____. $1/12$ $1/8$ $1/6$ $3/8$

asked Feb 12 in Numerical Ability by Arjun (5.4k points)

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12

GATE2019 EE: GA-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

asked Feb 12 in Verbal Ability by Arjun (5.4k points)

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13

GATE2019 EE: 1
The inverse Laplace transform of $H(s)=\frac{s+3}{s^{2}+2s+1} for \quad t \geq0$ $3te^{-t}+e^{-t}$ $3e^{-t}$ $2te^{-t}+e^{-t}$ $4te^{-t}+e^{-t}$

asked Feb 12 in new by Arjun (5.4k points)

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14

GATE2019 EE: 3
The partial differential equation $\frac{\partial^{2}u}{\partial t^{2}}- C^{2}(\frac{\partial^{2}u}{\partial x^{2}}+\frac{\partial^{2}u}{\partial y^{2}})=0; where \quad c \neq 0$ heat equation wave equation Poisson’s equation Laplace equation

asked Feb 12 in new by Arjun (5.4k points)

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15

GATE2019 EE: 4
Which one of the following functions is analytic in the region $|z| \leq 1$ ? $\frac{z^{2}-1}{z}$ $\frac{z^{2}-1}{z+2}$ $\frac{z^{2}-1}{z-0.5}$ $\frac{z^{2}-1}{z+j0.5}$

asked Feb 12 in new by Arjun (5.4k points)

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16

GATE2019 EE: 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 $\frac{kT}{c}$ $\sqrt{\frac{kT}{c}}$ $\frac{c}{kT}$ $\frac{\sqrt{kT}}{c}$

asked Feb 12 in new by Arjun (5.4k points)

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17

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)

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18

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 time-invariant system? $e^{+at}u(t)$ $e^{-a(t+T)}u(t)$ $1+e^{-at}u(t)$ $e^{-a(t-T)}u(t)$

asked Feb 12 in new by Arjun (5.4k points)

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19

GATE2019 EE: 8
A $5kVA, 50V/100V,$ single-phase transformer has a secondary terminal voltage of $95V$ when loaded. The regulation of the transformer is $4.5\%$ $9\%$ $5\%$ $1\%$

asked Feb 12 in new by Arjun (5.4k points)

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20

GATE2019 EE: 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 $100 Hz$ $150 Hz$ $250 Hz$ $300 Hz$

asked Feb 12 in new by Arjun (5.4k points)

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21

GATE2019 EE: 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

asked Feb 12 in new by Arjun (5.4k points)

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22

GATE2019 EE: 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 $100 A$ $200 A$ $300 A$ $400 A$

asked Feb 12 in new by Arjun (5.4k points)

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23

GATE2019 EE: 12
In the circuit shown below, the switch is closed at $t=0$. The value of $\theta$ in degrees which whill 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)

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24

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)

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25

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)

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26

GATE2019 EE: 15
The characteristics 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 $0<K<\frac{12}{9}$ $k>3$ $0<k<\frac{8}{9}$ $k>6$

asked Feb 12 in new by Arjun (5.4k points)

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27

GATE2019 EE: 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 $V_{gs}<V_{th};V_{ds}\geq V_{gs}-V_{th}$ ... $V_{gs}>V_{th};V_{ds}\leq V_{gs}-V_{th}$ $V_{gs}<V_{th};V_{ds}\leq V_{gs}-V_{th}$

asked Feb 12 in new by Arjun (5.4k points)

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28

GATE2019 EE: 17
A current controlled current source (CCCS) has an input impedance of $10 \Omega$ and output impedance of $100k\Omega$. 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)

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29

GATE2019 EE: 18
If $f=2x^{3}+3y^{2}+4z,$ the value of line integral $\int_{c}$ grad$f.dr$ 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)

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30

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)

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31

GATE2019 EE: 20
A co-axial Cylindrical capacitor is shown in the Figure(i) has dielectric with relative permittivity $\epsilon_{r1} = 2.$. When one – fourth portion of the dielectric is replaced with another dielectric of relative permittivity $\epsilon_{r2}$, as shown in the Figure(ii), the capacitance is doubled. The value of $\epsilon_{r2}$ is _________.

asked Feb 12 in new by Arjun (5.4k points)

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32

GATE2019 EE: 21
The $Y_{bus}$ matrix of a two-bus power system having two identical parallel lines connected between them in pu is given as $Y_{bus} = \begin{bmatrix} -j8 & j20 \\ j20& -j8 \end{bmatrix}$ The magnitudde 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)

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33

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)

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34

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)

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35

GATE2019 EE: 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 ___________.

asked Feb 12 in new by Arjun (5.4k points)

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36

GATE2019 EE: 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 the row ... Statement 1 is 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

asked Feb 12 in new by Arjun (5.4k points)

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37

GATE2019 EE: 27
The closed-loop line integral $\oint_{|z| = 5} \frac{z^3 + z^2 + 8}{z+2}dz$ Evaluated Counter-clockwise is $+8j\pi$ $-8j\pi$ $-4j\pi$ $+4\pi$

asked Feb 12 in new by Arjun (5.4k points)

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38

GATE2019 EE: 28
A periodic function $\large{f(t)},$ with a period of 2$\pi$, is represented as its fourier series, $\large{f(t)} = a_0 + \sum_{n=1}^{\infty }a_n cos nt + \sum_{n=1}^{\infty} b_n sin nt.$}$ If $\large{f(t)} = \left\{\begin{matrix} Asint, & 0 \le t\le \pi\\ 0, & \pi ... $a_1 = \frac{A}{2}; b_1 = 0$ $a_1 = 0;b_1 = \frac{A}{\pi}$ $a_1 = 0;b_1 = \frac{A}{2}$

asked Feb 12 in new by Arjun (5.4k points)

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39

GATE2019 EE: 29

asked Feb 12 in new by Arjun (5.4k points)

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40

GATE2019 EE: 30

asked Feb 12 in new by Arjun (5.4k points)

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