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1
GATE Electrical 2014 Set 1 | GA Question: 5
The roots of $ax^{2}+ bx + c = 0$ are real and positive. $a, b$ and $c$ are real. Then $ ax^2 + b \mid x \mid + c = 0$ has no roots $2$ real roots $3$ real roots $4$ real roots
Shiva Sagar Rao
commented
in
Quantitative Aptitude
May 7
by
Shiva Sagar Rao
100
points
gate2014-ee-1
numerical-ability
quadratic-equations
2
votes
2
answers
2
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
gateee-2021
numerical-ability
number-system
number-theory
0
votes
1
answer
3
GATE Electrical 2019 | GA Question: 3
The missing number in the given sequence $343,1331,$_____$,4913$ is $3375$ $2744$ $2197$ $4096$
Tharun_Kumar
commented
in
Analytical Aptitude
May 7
by
Tharun_Kumar
140
points
gate2019-ee
analytical-aptitude
logical-reasoning
sequence-series
0
votes
0
answers
4
GATE Electrical 2018 | Question: 21
The positive, negative and zero sequence impedances of a $125$ MVA, three-phase, $15.5$ kV, star-gounded, $50$ Hz generator are $j0.1$ pu, $j0.05$ pu and $j0.01$ pu respectively on the machine rating base. The machine is unloaded and working ... then the magnitude of fault current for a $b$-phase to ground fault (in kA) is __________ (up to $2$ decimal places).
priyanshsoni
commented
in
new
May 7
by
priyanshsoni
100
points
gate2018-ee
numerical-answers
1
vote
1
answer
5
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
gate2020-ee
numerical-answers
0
votes
1
answer
6
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
gate2020-ee
linear-algebra
matrices
0
votes
0
answers
7
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.
Lakshman Patel RJIT
retagged
in
new
Mar 21
by
Lakshman Patel RJIT
4.1k
points
gate2022-ee
multiple-selects
2
votes
1
answer
8
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
gate2022-ee
quantitative-aptitude
probability
1
vote
1
answer
9
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
gate2022-ee
quantitative-aptitude
probability
1
vote
1
answer
10
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 $P$
soujanyareddy13
edited
in
Analytical Aptitude
Feb 22
by
soujanyareddy13
100
points
gate2022-ee
analytical-aptitude
logical-reasoning
statements-follow
1
vote
1
answer
11
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?
soujanyareddy13
edited
in
Spatial Aptitude
Feb 22
by
soujanyareddy13
100
points
gate2022-ee
spatial-aptitude
patterns-in-two-dimensions
0
votes
0
answers
12
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 $-0.1\:V$
soujanyareddy13
edited
in
new
Feb 22
by
soujanyareddy13
100
points
gate2022-ee
0
votes
0
answers
13
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 $20\angle -30^{\circ}$ $20\angle 30^{\circ}$ $20\angle -60^{\circ}$ $20\angle 60^{\circ}$
soujanyareddy13
edited
in
new
Feb 22
by
soujanyareddy13
100
points
gate2022-ee
0
votes
0
answers
14
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 $V_{\text{in}}< 0$
soujanyareddy13
edited
in
new
Feb 22
by
soujanyareddy13
100
points
gate2022-ee
0
votes
0
answers
15
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
soujanyareddy13
edited
in
new
Feb 22
by
soujanyareddy13
100
points
gate2022-ee
0
votes
0
answers
16
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 $0$ $1$ $2$ $3$
soujanyareddy13
edited
in
new
Feb 22
by
soujanyareddy13
100
points
gate2022-ee
0
votes
0
answers
17
GATE Electrical 2022 | Question: 33
The fuel cost functions in rupees/hour for two $600$ $\text{MW}$ thermal power plants are given by Plant $1$ : $C_{1} = 350 + 6P_{1} + 0.004P_{1}^{2}$ Plant $2$ : $C_{2} = 450 + aP_{2} + 0.003P_{2}^{2}$ where $P_{1}$ and $P_{2}$ ... $1$ and plant $2$ in $\text{MW}$, respectively, are $200, 350$ $250, 300$ $325, 225$ $350, 200$
soujanyareddy13
edited
in
new
Feb 22
by
soujanyareddy13
100
points
gate2022-ee
0
votes
0
answers
18
GATE Electrical 2022 | Question: 34
The current gain $( I_{\text{out}}/I_{\text{in}})$ in the circuit with an ideal current amplifier given below is $\dfrac{C_{f}}{C_{c}}$ $\dfrac{-C_{f}}{C_{c}}$ $\dfrac{C_{c}}{C_{f}}$ $\dfrac{-C_{c}}{C_{f}}$
soujanyareddy13
edited
in
new
Feb 22
by
soujanyareddy13
100
points
gate2022-ee
0
votes
0
answers
19
GATE Electrical 2022 | Question: 41
Let $R$ be a region in the first quadrant of the $xy$ plane enclosed by a closed curve $C$ considered in counter-clockwise direction. Which of the following expressions does not represent the area of the region $R$? $\displaystyle\iint_{R} dxdy$ $\oint _{C}xdy$ $\oint _{C}ydx$ $\dfrac{1}{2}\oint _{C}\left ( xdy -ydx \right )$
soujanyareddy13
edited
in
new
Feb 22
by
soujanyareddy13
100
points
gate2022-ee
0
votes
0
answers
20
GATE Electrical 2022 | Question: 43
As shown in the figure below, two concentric conducting spherical shells, centered at $r = 0$ and having radii $r = c$ and $r = d$ are maintained at potentials such that the potential $\text{V(r)}$ at $r = c$ is $V_{1}$ and $\text{V(r)}$ at $r = d$ is $V_{2}$. Assume ...
soujanyareddy13
edited
in
new
Feb 22
by
soujanyareddy13
100
points
gate2022-ee
1
vote
1
answer
21
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
gate2022-ee
quantitative-aptitude
cost-market-price
1
vote
1
answer
22
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
gate2022-ee
analytical-aptitude
statements-follow
1
vote
1
answer
23
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
answer edited
in
Quantitative Aptitude
Feb 21
by
Lakshman Patel RJIT
4.1k
points
gate2022-ee
quantitative-aptitude
lcm-hcf
1
vote
1
answer
24
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
gate2022-ee
quantitative-aptitude
speed-time-distance
1
vote
1
answer
25
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
gate2022-ee
verbal-aptitude
most-appropriate-word
0
votes
0
answers
26
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
Lakshman Patel RJIT
retagged
in
Analytical Aptitude
Feb 19
by
Lakshman Patel RJIT
4.1k
points
gate2022-ee
analytical-aptitude
logical-reasoning
passage-reading
0
votes
0
answers
27
GATE Electrical 2022 | Question: 55
A $3$-phase, $415\; V$, $4$-pole, $50\:Hz$ induction motor draws $5$ times the rated current at rated voltage at starting. It is required to bring down the starting current from the supply to $2$ times of ... of the autotransformer is neglected, then the transformation ratio of the autotransformer is given by ________________. (round off to two decimal places).
soujanyareddy13
edited
in
new
Feb 19
by
soujanyareddy13
100
points
gate2022-ee
numerical-answers
0
votes
0
answers
28
GATE Electrical 2022 | Question: 54
A star-connected $3$-phase, $400\; V$, $50$ $\text{ kVA}$, $50\; Hz$ synchronous motor has a synchronous reactance of $1$ $\text{ohm}$ per phase with negligible armature resistance. The shaft load on the motor is $10$ $\text{kW}$ ... $2\:kW$. The magnitude of the per phase excitation emf of the motor, in volts, is ______________. (round off to nearest integer).
soujanyareddy13
edited
in
new
Feb 19
by
soujanyareddy13
100
points
gate2022-ee
numerical-answers
0
votes
0
answers
29
GATE Electrical 2022 | Question: 53
A $4$-pole induction motor with inertia of $0.1\; kg-m^{2}$ drives a constant load torque of $2\; Nm$. The speed of the motor is increased linearly from $1000$ $\text{rpm}$ to $1500$ $\text{rpm}$ in $4$ ... Neglect losses in the motor. The energy, in joules, consumed by the motor during the speed change is ____________________. (round off to nearest integer)
soujanyareddy13
edited
in
new
Feb 19
by
soujanyareddy13
100
points
gate2022-ee
numerical-answers
0
votes
0
answers
30
GATE Electrical 2022 | Question: 52
A $280 \;V$, separately excited $\text{DC}$ motor with armature resistance of $1\:\Omega$ and constant field excitation drives a load. The load torque is proportional to the speed. The motor draws a current of $30 A$ when ... additional resistance of value $10\:\Omega$ is connected in series with the armature, is _____________. (round off to nearest integer)
soujanyareddy13
edited
in
new
Feb 19
by
soujanyareddy13
100
points
gate2022-ee
numerical-answers
0
votes
0
answers
31
GATE Electrical 2022 | Question: 51
The steady state current flowing through the inductor of a $\text{DC – DC}$ buck boost converter is given in the figure below. If the peak-to-peak ripple in the output voltage of the converter is $1 V$, then the value of the output capacitor, in $\mu F$, is ________________. (round off to nearest integer)
soujanyareddy13
edited
in
new
Feb 19
by
soujanyareddy13
100
points
gate2022-ee
numerical-answers
0
votes
0
answers
32
GATE Electrical 2022 | Question: 50
A $3$-phase grid-connected voltage source converter with $\text{DC}$ link voltage of $1000$ $\text{V}$ is switched using sinusoidal Pulse Width Modulation $\text{(PWM)}$ technique. If the grid phase current is $10$\text{ A}$ and the $ ... $\text{VA}$, then the modulation index used in sinusoidal $\text{PWM}$ is _____________. (round off to two decimal places)
soujanyareddy13
edited
in
new
Feb 19
by
soujanyareddy13
100
points
gate2022-ee
numerical-answers
0
votes
0
answers
33
GATE Electrical 2022 | Question: 49
For the ideal $\text{AC-DC}$ rectifier circuit shown in the figure below, the load current magnitude is $I_{dc} = 15 A$ and is ripple free. The thyristors are fired with a delay angle of $45^{\circ}$. The amplitude of the fundamental component of the source current, in amperes, is _______________. (round off to two decimal places)
soujanyareddy13
edited
in
new
Feb 19
by
soujanyareddy13
100
points
gate2022-ee
numerical-answers
0
votes
0
answers
34
GATE Electrical 2022 | Question: 48
Consider an ideal full-bridge single-phase $\text{DC-AC}$ inverter with a $\text{DC}$ bus voltage magnitude of $1000$ $\text{V}$. The inverter output voltage $v\left ( t \right )$ shown below, is obtained when diagonal switches of the ... . The active power, in watts, delivered to the load is _____________. (round off to nearest integer)
soujanyareddy13
edited
in
new
Feb 19
by
soujanyareddy13
100
points
gate2022-ee
numerical-answers
0
votes
0
answers
35
GATE Electrical 2022 | Question: 47
A $20$ $\text{MVA}$, $11.2$ $\text{kV}$, $4$-pole, $50$ $\text{Hz}$ alternator has an inertia constant of $15$ $\text{MJ/MVA}$. If the input and output powers of the alternator are $15$ $\text{MW}$ and $10$ $\text{MW}$, respectively, the angular acceleration in mechanical degree/$s^{2}$ is _____________.(round off to nearest integer)
soujanyareddy13
edited
in
new
Feb 19
by
soujanyareddy13
100
points
gate2022-ee
numerical-answers
0
votes
0
answers
36
GATE Electrical 2022 | Question: 46
Two generating units rated for $250$ $\text{MW}$ and $400$ $\text{MW}$ have governor speed regulations of $6\%$ and $6.4\%$, respectively, from no load to full load. Both the generating units are operating in parallel to share a load ... the load shared in $\text{MW}$, by the $250$ $\text{MW}$ generating unit is __________________.(round off to nearest integer)
soujanyareddy13
edited
in
new
Feb 19
by
soujanyareddy13
100
points
gate2022-ee
numerical-answers
0
votes
0
answers
37
GATE Electrical 2022 | Question: 45
In the circuit shown below, the magnitude of the voltage $V_{1}$ in volts, across the $8\:k\Omega$ resistor is ______. (round off to nearest integer)
soujanyareddy13
edited
in
new
Feb 19
by
soujanyareddy13
100
points
gate2022-ee
numerical-answers
0
votes
0
answers
38
GATE Electrical 2022 | Question: 44
Let the probability density function of a random variable $x$ be given as $f\left ( x \right ) = ae^{-2\left | x \right |}$ The value of $’a’$ is _________________.
soujanyareddy13
edited
in
new
Feb 19
by
soujanyareddy13
100
points
gate2022-ee
numerical-answers
0
votes
0
answers
39
GATE Electrical 2022 | Question: 42
Let $\vec{E}\left ( x, y, z \right ) = 2x^{2}\hat{i} + 5y\hat{j} + 3z\hat{k}$. The value of $\iiint_{V} \left ( \vec{\triangledown} . \vec{E} \right )dV$, where $V$ is the volume enclosed by the unit cube defined by $0\leq x\leq 1, 0\leq y\leq 1$ and $0\leq z\leq 1$, is $3$ $8$ $10$ $5$
soujanyareddy13
edited
in
new
Feb 19
by
soujanyareddy13
100
points
gate2022-ee
0
votes
0
answers
40
GATE Electrical 2022 | Question: 40
Let, $f\left ( x,y, z \right ) = 4x^{2} + 7xy + 3xz^{2}$. The direction in which the function $\text{f(x, y, z)}$ increases most rapidly at point $P = (1,0,2)$ is $20\hat{i} + 7\hat{j}$ $20\hat{i} + 7\hat{j} + 12\hat{k}$ $20\hat{i} + 12\hat{k}$ $20\hat{i}$
soujanyareddy13
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in
new
Feb 19
by
soujanyareddy13
100
points
gate2022-ee
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