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1

GATE Electrical 2021 | GA Question: 4
Which one of the following numbers is exactly divisible by $\left ( 11^{13} +1\right )$? $11^{26} +1$ $11^{33} +1$ $11^{39} -1$ $11^{52} -1$

Tharun_Kumar answered in Quantitative Aptitude May 7

by Tharun_Kumar

140 points

1 vote

1 answer

2

GATE Electrical 2020 | Question: 20
A double pulse measurement for an inductively loaded circuit controlled by the $\text{IGBT}$ switch is carried out to evaluate the reverse recovery characteristics of the diode, $\text{D}$, represented approximately as a piecewise linear plot of current vs time ... $4$) at which the $\text{IGBT}$ experiences the highest current stress is _________.

samim answered in new May 7

by samim

150 points

0 votes

1 answer

3

GATE Electrical 2020 | Question: 42
The number of purely real elements in a lower triangular representation of the given $3\times 3$ ... $5$ $6$ $8$ $9$

samarpita answered in Linear Algebra May 7

by samarpita

140 points

2 votes

1 answer

4

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 ... $0$ $\frac{1}{3}$ $\frac{2}{3}$ $1$

Lakshman Patel RJIT answered in Quantitative Aptitude Feb 26

by Lakshman Patel RJIT

4.1k points

1 vote

1 answer

5

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 ... $\text{V}$? $\frac{1}{4}$ $\frac{3}{4}$ $\frac{1}{6}$ $\frac{5}{36}$

Lakshman Patel RJIT answered in Quantitative Aptitude Feb 26

by Lakshman Patel RJIT

4.1k points

1 vote

1 answer

6

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 $₹\;150$ for delivery. There are no delivery charges for orders from the store $M$. A person bought the items from ... online store $S$ (in $₹$) if there are no other charges than what is described above? $2500$ $2250$ $1750$ $1500$

Lakshman Patel RJIT answered in Quantitative Aptitude Feb 22

by Lakshman Patel RJIT

4.1k points

1 vote

1 answer

7

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 $P$

Lakshman Patel RJIT answered in Analytical Aptitude Feb 22

by Lakshman Patel RJIT

4.1k points

1 vote

1 answer

8

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 corner strictly decreases. Which one of the following is a part of a possible trajectory of the ant during the movement?

Lakshman Patel RJIT answered in Spatial Aptitude Feb 22

by Lakshman Patel RJIT

4.1k points

1 vote

1 answer

9

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

Lakshman Patel RJIT answered in Analytical Aptitude Feb 22

by Lakshman Patel RJIT

4.1k points

1 vote

1 answer

10

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? $5 : 00$ $\text{PM}$ $5 : 30$ $\text{PM}$ $6 : 00$ $\text{PM}$ $6 : 30$ $\text{PM}$

Lakshman Patel RJIT answered in Quantitative Aptitude Feb 21

by Lakshman Patel RJIT

4.1k points

1 vote

1 answer

11

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? $20$ $40$ $60$ $140$

Lakshman Patel RJIT answered in Quantitative Aptitude Feb 21

by Lakshman Patel RJIT

4.1k points

1 vote

1 answer

12

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

Lakshman Patel RJIT answered in Verbal Aptitude Feb 21

by Lakshman Patel RJIT

4.1k points

0 votes

0 answers

13

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

Arjun asked in Analytical Aptitude Feb 15

by Arjun

9.2k points

0 votes

0 answers

14

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.

Arjun asked in new Feb 15

by Arjun

9.2k points

0 votes

0 answers

15

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

Arjun asked in new Feb 15

by Arjun

9.2k points

0 votes

0 answers

16

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.

Arjun asked in new Feb 15

by Arjun

9.2k points

0 votes

0 answers

17

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 $4\:r$ $1.414\:r$ $2\:r$ $1.723\:r$

Arjun asked in new Feb 15

by Arjun

9.2k points

0 votes

0 answers

18

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 $0.1$

Arjun asked in new Feb 15

by Arjun

9.2k points

0 votes

0 answers

19

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 $-0.1\:V$

Arjun asked in new Feb 15

by Arjun

9.2k points

0 votes

0 answers

20

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.

Arjun asked in new Feb 15

by Arjun

9.2k points

0 votes

0 answers

21

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; $R_{DA} = 300 \:\Omega \: \pm \:0.4\%$ ... $30\:\Omega \:\pm \:0.9\:\Omega$ $3000\:\Omega \:\pm \:90\:\Omega$ $3000\:\Omega \:\pm \:3\:\Omega$

Arjun asked in new Feb 15

by Arjun

9.2k points

0 votes

0 answers

22

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 $k> 3$ $k< 3$ $k> 5$ $k< 5$

Arjun asked in new Feb 15

by Arjun

9.2k points

0 votes

0 answers

23

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

Arjun asked in new Feb 15

by Arjun

9.2k points

0 votes

0 answers

24

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 $20\angle -30^{\circ}$ $20\angle 30^{\circ}$ $20\angle -60^{\circ}$ $20\angle 60^{\circ}$

Arjun asked in new Feb 15

by Arjun

9.2k points

0 votes

0 answers

25

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 $\text{MOSFET}$ $\text{BJT}$

Arjun asked in new Feb 15

by Arjun

9.2k points

0 votes

0 answers

26

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 ... $\dfrac{J_{a}}{3}\:r^{3}$ $\dfrac{J_{a}}{5}\:r^{4}$ $J_{a}\:r^{3}$

Arjun asked in new Feb 15

by Arjun

9.2k points

0 votes

0 answers

27

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.

Arjun asked in new Feb 15

by Arjun

9.2k points

0 votes

0 answers

28

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 $V_{\text{in}}< 0$

Arjun asked in new Feb 15

by Arjun

9.2k points

0 votes

0 answers

29

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)

Arjun asked in new Feb 15

by Arjun

9.2k points

0 votes

0 answers

30

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)

Arjun asked in new Feb 15

by Arjun

9.2k points

0 votes

0 answers

31

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)

Arjun asked in new Feb 15

by Arjun

9.2k points

0 votes

0 answers

32

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)

Arjun asked in new Feb 15

by Arjun

9.2k points

0 votes

0 answers

33

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)

Arjun asked in new Feb 15

by Arjun

9.2k points

0 votes

0 answers

34

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)

Arjun asked in new Feb 15

by Arjun

9.2k points

0 votes

0 answers

35

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)

Arjun asked in new Feb 15

by Arjun

9.2k points

0 votes

0 answers

36

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.

Arjun asked in new Feb 15

by Arjun

9.2k points

0 votes

0 answers

37

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)

Arjun asked in new Feb 15

by Arjun

9.2k points

0 votes

0 answers

38

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)

Arjun asked in new Feb 15

by Arjun

9.2k points

0 votes

0 answers

39

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

Arjun asked in new Feb 15

by Arjun

9.2k points

0 votes

0 answers

40

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 $a = 1, b=10$ $a = 10, b=1$ $a = 1, b=100$ $a = 100, b=1$

Arjun asked in new Feb 15

by Arjun

9.2k points

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