Questions by Arjun

1 vote

1 answer

1

GATE Electrical 2022 | GA Question: 1
As you grow older, an injury to your ______________ may take longer to ____________. heel / heel heal / heel heal / heal heel / heal

asked in Verbal Aptitude Feb 15, 2022

1 vote

1 answer

2

GATE Electrical 2022 | GA Question: 2
In a $500\;m$ race, $P$ and $Q$ have speeds in the ratio of $3 : 4$. $Q$ starts the race when $P$ has already covered $140\; m$. What is the distance between $P$ and $Q$ (in $m$) when $P$ wins the race? $20$ $40$ $60$ $140$

asked in Quantitative Aptitude Feb 15, 2022

2 votes

1 answer

3

GATE Electrical 2022 | GA Question: 3
Three bells $P$, $Q$ and $R$ are rung periodically in a school. $P$ is rung every $20$ minutes; $Q$ is rung every $30$ minutes and $R$ is rung every $50$ minutes. If all the three bells are rung at $12 : 00$ $\text{PM}$, when will the three bells ring together again ... time? $5 : 00$ $\text{PM}$ $5 : 30$ $\text{PM}$ $6 : 00$ $\text{PM}$ $6 : 30$ $\text{PM}$

asked in Quantitative Aptitude Feb 15, 2022

2 votes

1 answer

4

GATE Electrical 2022 | GA Question: 4
Given below are two statements and four conclusions drawn based on the statements. Statement $1$: Some bottles are cups. Statement $2$: All cups are knives. Conclusion $\text{I}$ : Some bottles are knives. Conclusion $\text{II}$ : Some knives are ... $\text{IV}$ are correct Only conclusion $\text{III}$ and conclusion $\text{IV}$ are correct

asked in Analytical Aptitude Feb 15, 2022

6 votes

1 answer

5

GATE Electrical 2022 | GA Question: 5
The figure below shows the front and rear view of a disc, which is shaded with identical patterns. The disc is flipped once with respect to any one of the fixed axes $1 -1$, $2 -2$ or $3 -3$ chosen uniformly at random. What is the probability that the ... $0$ $\frac{1}{3}$ $\frac{2}{3}$ $1$

asked in Quantitative Aptitude Feb 15, 2022

0 votes

1 answer

6

GATE Electrical 2022 | GA Question: 6
Altruism is the human concern for the wellbeing of others. Altruism has been shown to be motivated more by social bonding, familiarity and identification of belongingness to a group. The notion that altruism may be attributed to ... engage in altruism due to group identification but not empathy Humans engage in altruism due to empathy but not familiarity

asked in Analytical Aptitude Feb 15, 2022

1 vote

1 answer

7

GATE Electrical 2022 | GA Question: 7
There are two identical dice with a single letter on each of the faces. The following six letters: $\text{Q, R, S, T, U}$ and $\text{V}$, one on each of the faces. Any of the six outcomes are equally likely. The two dice are thrown once independently at random. What is the ... $\text{V}$? $\frac{1}{4}$ $\frac{3}{4}$ $\frac{1}{6}$ $\frac{5}{36}$

asked in Quantitative Aptitude Feb 15, 2022

1 vote

1 answer

8

GATE Electrical 2022 | GA Question: 8
The price of an item is $10\%$ cheaper in an online store $S$ compared to the price at another online store $M$. Store $S$ charges $\text{₹ }150$ for delivery. There are no delivery charges for orders from the store $M$. A person bought the items ... $S$ (in $\text{₹}$) if there are no other charges than what is described above? $2500$ $2250$ $1750$ $1500$

asked in Quantitative Aptitude Feb 15, 2022

3 votes

1 answer

9

GATE Electrical 2022 | GA Question: 9
The letters $\text{P, Q, R, S, T}$ and ${U}$ are to be placed one per vertex on a regular convex hexagon, but not necessarily in the same order. Consider the following statements: The line segment joining $R$ and $S$ is longer than the line ... joining $U$ and $Q$ The line segment joining $Q$ and $S$ is perpendicular to the line segment joining $R$ and $P$

asked in Analytical Aptitude Feb 15, 2022

1 vote

1 answer

10

GATE Electrical 2022 | GA Question: 10
An ant is at the bottom-left corner of a grid (point $\text{P}$) as shown above. It aims to move to the top-right corner of the grid. The ant moves only along the lines marked in the grid such that the current distance to the top-right ... decreases. Which one of the following is a part of a possible trajectory of the ant during the movement? A. B. C. D.

asked in Spatial Aptitude Feb 15, 2022

0 votes

0 answers

11

GATE Electrical 2022 | Question: 1
The transfer function of a real system, $H(s)$, is given as: $H\left ( s \right ) = \dfrac{As + B}{S^{2} + Cs + D}$ where $\text{A, B, C}$ and $D$ are positive constants. This system cannot operate as low pass filter. high pass filter. band pass filter. an integrator.

asked in new Feb 15, 2022

0 votes

0 answers

12

GATE Electrical 2022 | Question: 2
For an ideal $\text{MOSFET}$ biased in saturation, the magnitude of the small signal current gain for a common drain amplifier is $0$ $1$ $100$ infinite

asked in new Feb 15, 2022

0 votes

0 answers

13

GATE Electrical 2022 | Question: 3
The most commonly used relay, for the protection of an alternator against loss of excitation, is offset Mho relay. over current relay. differential relay. Buchholz relay.

asked in new Feb 15, 2022

1 vote

0 answers

14

GATE Electrical 2022 | Question: 4
The geometric mean radius of a conductor, having four equal strands with each strand of radius $’r’$, as shown in the figure below, is $4\:r$ $1.414\:r$ $2\:r$ $1.723\:r$

asked in new Feb 15, 2022

0 votes

0 answers

15

GATE Electrical 2022 | Question: 5
The valid positive, negative and zero sequence impedances (in p.u), respectively, for a $220$ $\text{kV}$, fully transposed three-phase transmission line, from the given choices are $1.1, \: 0.15$ and $0.08$ $0.15, \: 0.15$ and $0.35$ $0.2, \: 0.2$ and $0.2$ $0.1, \: 0.3$ and $0.1$

asked in new Feb 15, 2022

0 votes

0 answers

16

GATE Electrical 2022 | Question: 6
The steady state output ($V_{\text{out}}$), of the circuit shown below, will saturate to $+V_{DD}$ saturate to $-V_{EE}$ become equal to $0.1\:V$ become equal to $-0.1\:V$

asked in new Feb 15, 2022

0 votes

0 answers

17

GATE Electrical 2022 | Question: 7
The Bode magnitude plot of a first order stable system is constant with frequency. The asymptotic value of the high frequency phase, for the system, is $-180^{\circ}$. This system has one $\text{LHP}$ pole and one $\text{RHP}$ ... . two $\text{LHP}$ poles and one $\text{RHP}$ zero. two $\text{RHP}$ poles and one $\text{LHP}$ zero.

asked in new Feb 15, 2022

0 votes

0 answers

18

GATE Electrical 2022 | Question: 8
A balanced Wheatstone bridge $\text{ABCD}$ has the following arm resistances: $R_{AB} = 1\:k\Omega \: \pm \:2.1\%; \:R_{BC} = 100\:\Omega \:\pm \:0.5\%; \: R_{CD}$ is an unknown resistance; $R_{DA} = 300 \:\Omega \: \pm \:0.4\%$ ... $30\:\Omega \:\pm \:0.9\:\Omega$ $3000\:\Omega \:\pm \:90\:\Omega$ $3000\:\Omega \:\pm \:3\:\Omega$

asked in new Feb 15, 2022

0 votes

0 answers

19

GATE Electrical 2022 | Question: 9
The open loop transfer function of a unity gain negative feedback system is given by $G\left ( s \right ) = \dfrac{k}{s^{2}+4s-5}$. The range of $k$ for which the system is stable, is $k> 3$ $k< 3$ $k> 5$ $k< 5$

asked in new Feb 15, 2022

0 votes

0 answers

20

GATE Electrical 2022 | Question: 10
Consider a $3\times 3$ matrix $A$ whose $(i,j)$-th element, $a_{i,j} = \left ( i- j \right )^{3}$. Then the matrix $A$ will be symmetric skew-symmetric unitary null

asked in new Feb 15, 2022

0 votes

0 answers

21

GATE Electrical 2022 | Question: 11
In the circuit shown below, a three-phase star-connected unbalanced load is connect to a balanced three-phase supply of $100\:\sqrt{3}\:V$ with phase sequence $\text{ABC}$. The star connected load has $Z_{A} = 10\:\Omega$ ... is zero, is $20\angle -30^{\circ}$ $20\angle 30^{\circ}$ $20\angle -60^{\circ}$ $20\angle 60^{\circ}$

asked in new Feb 15, 2022

0 votes

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22

GATE Electrical 2022 | Question: 12
A charger supplies $100\:W$ at $20\:V$ for charging the battery of a laptop. The power devices, used in the converter inside the charger, operate at a switching frequency of $200$ $\text{kHz}$. Which power device is best suited for this purpose? $\text{IGBT}$ Thyristor $\text{MOSFET}$ $\text{BJT}$

asked in new Feb 15, 2022

0 votes

0 answers

23

GATE Electrical 2022 | Question: 13
A long conducing cylinder having a radius $'b'$ is placed along the $z$ axis. The current density is $J = J_{a} \:r^{3}\:\hat{z}$ for the region $r< b$ where $r$ is the distance in the radial direction. The magnetic field intensity $\text{(H)}$ for the region inside the conductor ... $\dfrac{J_{a}}{3}\:r^{3}$ $\dfrac{J_{a}}{5}\:r^{4}$ $J_{a}\:r^{3}$

asked in new Feb 15, 2022

0 votes

0 answers

24

GATE Electrical 2022 | Question: 14
The type of single-phase induction motor, expected to have the maximum power factor during steady state running condition, is split phase (resistance start). shaded pole. capacitor start. capacitor start, capacitor run.

asked in new Feb 15, 2022

0 votes

0 answers

25

GATE Electrical 2022 | Question: 15
For the circuit shown below with ideal diodes, the output will be $V_{\text{out}} = V _{\text{in}}$ for $V_{\text{in}}> 0$ $V_{\text{out}} = V_{\text{in}}$ for $V_{\text{in}}< 0$ $V_{\text{out}} = -V_{\text{in}}$ for $V_{\text{in}}> 0$ $V_{\text{out}} = -V_{\text{in}}$ for $V_{\text{in}}< 0$

asked in new Feb 15, 2022

0 votes

1 answer

26

GATE Electrical 2022 | Question: 16
A $\text{MOD 2}$ and a $\text{MOD 5}$ up-counter when cascade together results in a $\text{MOD}$ _________________ counter. (in integer)

asked in new Feb 15, 2022

0 votes

0 answers

27

GATE Electrical 2022 | Question: 17
An inductor having a $Q$ – factor of $60$ is connected in series with a capacitor having a $Q$ – factor of $240$. The overall $Q$ -factor of the circuit is _______________. (round off to nearest integer)

asked in new Feb 15, 2022

0 votes

0 answers

28

GATE Electrical 2022 | Question: 18
The network shown below has a resonant frequency of $150$ $\text{kHz}$ and a bandwidth of $600$ $\text{Hz}$. The $Q$ –factor of the network is ______________. (round off to nearest integer)

asked in new Feb 15, 2022

0 votes

0 answers

29

GATE Electrical 2022 | Question: 19
The maximum clock frequency in $\text{MHz}$ of a $4$ – stage ripple counter, utilizing flip-flops, with each flip-flop having a propagation delay of $20\:ns$, is _______________. (round off to one decimal place)

asked in new Feb 15, 2022

0 votes

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30

GATE Electrical 2022 | Question: 20
If only $5\%$ of the supplied power to a cable reaches the output terminal, the power loss in the cable, in decibels, is ________________. (round off to nearest integer)

asked in new Feb 15, 2022

0 votes

0 answers

31

GATE Electrical 2022 | Question: 21
In the circuit shown below, the switch $S$ is closed at $t = 0$. The magnitude of the steady state voltage, in volts, across the $6 \Omega$ resistor is ________________. (round off to two decimal places)

asked in new Feb 15, 2022

0 votes

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32

GATE Electrical 2022 | Question: 22
A single-phase full-bridge diode rectifier feeds a resistive load of $50\; \Omega$ from a $200\:V$, $50\:Hz$ single phase $\text{AC}$ supply. If the diodes are ideal, then the active power, in watts, drawn by the load is __________________. (round off to nearest integer)

asked in new Feb 15, 2022

0 votes

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33

GATE Electrical 2022 | Question: 23
The voltage at the input of an $\text{AC-DC}$ rectifier is given by $v\left ( t \right ) = 230 \sqrt{2} \sin \omega t$ where $\omega = 2\pi \times 50$ ... . The input power factor, (rounded off to two decimal places), is, _______________________ lag.

asked in new Feb 15, 2022

0 votes

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34

GATE Electrical 2022 | Question: 24
Two balanced three-phase loads, as shown in the figure, are connected to a $100\sqrt{3}\:V$, three-phase, $50\:Hz$, main supply. Given $Z_{1} = \left ( 18 +j24 \right )\Omega$ and $Z_{2} = \left ( 6 +j8 \right )\Omega$. The ammeter reading, in amperes, is ____________________. (round off to nearest integer)

asked in new Feb 15, 2022

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35

GATE Electrical 2022 | Question: 25
The frequencies of the stator and rotor currents flowing in a three-phase $8$-pole induction motor are $40\:Hz$ and $1\:Hz$, respectively. The motor speed, in $\text{rpm}$, is ________________. (round off to nearest integer)

asked in new Feb 15, 2022

0 votes

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36

GATE Electrical 2022 | Question: 26
The output impedance of a non-ideal operational amplifier is denoted by $Z_{out}$. The variation in the magnitude of $Z_{out}$ with increasing frequency, $f$, in the circuit shown below, is best represented by A. B. C. D.

asked in new Feb 15, 2022

0 votes

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37

GATE Electrical 2022 | Question: 27
An $\text{LTI}$ system is shown in the figure where $G \left ( s \right ) = \dfrac{100}{s^{2}+0.1s+100}$ The steady state output of the system, to the input $r(t)$, is given as $y \left ( t \right ) = a +b\:\sin\left ( 10t + \theta \right )$ The values of $’a’$ and $’b’$ will be $a = 1, b=10$ $a = 10, b=1$ $a = 1, b=100$ $a = 100, b=1$

asked in new Feb 15, 2022

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38

GATE Electrical 2022 | Question: 28
The open loop transfer function of a unity gain negative feedback system is given as $G \left ( s \right ) = \dfrac{1}{s\left ( s+1 \right )}$ The Nyquist contour in the $s$ -plane encloses the entire right half plane and a small neighbourhood around the ... $G(s)$, corresponding to the Nyquist contour, is denoted as $N$. Then $N$ equals to $0$ $1$ $2$ $3$

asked in new Feb 15, 2022

0 votes

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39

GATE Electrical 2022 | Question: 29
The damping ratio and undamped natural frequency of a closed loop system as shown in the figure, are denoted as $\zeta$ and $\omega_{n}$, respectively. The values of $\zeta$ and $\omega_{n}$ are $\zeta = 0.5$ and $\omega _{n} =10$ rad/s $\zeta = 0.1$ ... $\zeta = 0.707$ and $\omega _{n} =10$ rad/s $\zeta = 0.707$ and $\omega _{n} =100$ rad/s

asked in new Feb 15, 2022

0 votes

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40

GATE Electrical 2022 | Question: 30
$e^{A}$ denotes the exponential of a square matrix $A$. Suppose $\lambda$ is an eigenvalue and $v$ is the corresponding eigen-vector of the matrix $A$. Consider the following two statements: Statement $1$ : $e^{\lambda }$ is ... $2$ is false. Statement $1$ is false and statement $2$ is true. Both the statements are correct. Both the statements are false.

asked in new Feb 15, 2022