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+1
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1
GATE2014127
A fair coin is tossed $n$ times. The probability that the difference between the number of heads and tails is $(n3)$ is $2^{n}$ $0$ $^{n}C_{n3}2^{n}$ $2^{n+3}$
asked
Feb 12, 2017
in
Probability & Statistics
by
makhdoom ghaya
(
9.3k
points)
gate2014ee1
probability
coins
0
votes
0
answers
2
GATE2019 EE: 52
In a $132$ kV system, the series inductance up to the point of circuit breaker location is $50$ mH. The shunt capacitance at the circuit breaker terminal is $0.05 \: \mu F$. The critical value of resistance in ohms required to be connected across the circuit breaker contacts which will give no transient oscillation is ______
asked
Feb 13, 2019
in
new
by
Arjun
(
5.4k
points)
gate2019ee
numericalanswers
0
votes
0
answers
3
GATE2014232
The magnitude of magnetic flux density ($\vec{B}$ ) at a point having normal distance $d$ meters from an infinitely extended wire carrying current of $I$ $A$ is $\frac{\mu i}{2\pi d}$ (in $SI$ units) (in SI units). An infinitely extended wire is laid along the xaxis and is carrying current of $4$ ... $weber/m^2$ $\frac{4}{3\pi }\hat{i}$ $A/m$ $\frac{3}{2\pi }\hat{k}$ $A/m$ $0$ $A/m$
asked
Feb 12, 2017
in
Electromagnetic Fields
by
makhdoom ghaya
(
9.3k
points)
gate2014ee2
fluxdensity
fieldintensity
0
votes
0
answers
4
GATE2016239
The open loop transfer function of a unity feedback control system is given by $G(s)=\frac{k(s+1)}{s(1+Ts)(1+2S)'}, K > 0, T > 0.$ The closed loop system will be stable if $0 < T < \frac{4(K+1)}{K1}$ $0 < K < \frac{4(T+2)}{T2}$ $0 < K < \frac{T+2}{T2}$ $0 < T < \frac{8(k+1)}{K1}$
asked
Jan 30, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
transferfunction
unityfeedbackcontrolsystem
0
votes
1
answer
5
GATE201852
A $200$ V DC series motor, when operating from rated voltage while driving a certain load, draws $10$ A current and runs at $1000$ r.p.m. The total series resistance is $1 \: \Omega$. The magnetic circuit is assumed to be linear. At the same supply voltage, the load torque is increased by $44 \%$. The speed of the motor in r.p.m (rounded to the nearest integer) is _____________
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
numericalanswers
0
votes
0
answers
6
GATE201526
A $3$phase balanced load which has a power factor of $0.707$ is connected to a balanced supply. The power consumed by the load is $5$ kW. The power is measured by the twowattmeter method. The readings of the two wattmeters are $3.94$ kW and $1.06$ kW $2.50$ kW and $2.50$ kW $5.00$ kW and $0.00$ kW $2.96$ kW and $2.04$ kW
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015ee2
balancedoperation
powermeasurement
0
votes
0
answers
7
GATE20172GA10
An air pressure contour line joins locations in a region having the same atmospheric pressure. The following is an air pressure contour plot of a geographical region. Contour lines are shown at $0.05$ bar intervals in this plot. If a possibility of a thunderstorm is given ... drops over a region, which of the following regions is most likely to have a thunderstorm? $P$ $Q$ $R$ $S$
asked
Feb 27, 2017
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2017ee2
0
votes
0
answers
8
GATE2017223
The mean square value of the given periodic waveform $f(t)$ is __________.
asked
Feb 27, 2017
in
new
by
Arjun
(
5.4k
points)
gate2017ee2
numericalanswers
0
votes
0
answers
9
GATE201624
Consider a causal $LTI$ system characterized by differential equation $\frac{dy(t)}{dt}+\frac{1}{6}y(t)=3x(t)$ The response of the system to the input $x(t)=3e^{\frac{t}{3}}u(t)$, where $u(t)$ denotes the unit step function, is $9e^{\frac{t}{3}}u(t)$ $9e^{\frac{t}{6}}u(t)$ $9e^{\frac{t}{3}}u(t)6e^{\frac{t}{6}}u(t)$ $54e^{\frac{t}{6}}u(t)54e^{\frac{t}{3}}u(t)$
asked
Jan 30, 2017
in
Differential Equations
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
function
derivative
numerical methods
0
votes
0
answers
10
GATE20128
If $x[n]=(1/3)^{\mid n \mid} – (1/2)^n \: u[n]$, then the region of convergence (ROC) of its $Z$transform in the $Z$plane will be $\frac{1}{3} < \mid z \mid < 3$ $\frac{1}{3} < \mid z \mid < \frac{1}{2}$ $\frac{1}{2} < \mid z \mid < 3$ $\frac{1}{3} < \mid z \mid $
asked
Mar 24, 2018
in
new
by
Andrijana3306
(
1.4k
points)
gate2012ee
0
votes
0
answers
11
GATE201850
The figure shows two buck converters connected in parallel. The common input dc voltage for the converters has a value of $100 \: V$. The converters have inductors of identical value. The load resistance is $1 \: \Omega$. The capacitor voltage has negligible ripple. Both ... average value of $i_{s1}$, the current of switch $S1$ (in Ampere), is ____________ (up to $2$ decimal places).
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
numericalanswers
0
votes
0
answers
12
GATE201246
The locked rotor current in a $3$phase, star connected $15$ kW, $4$pole, $230$ V, $50$ Hz induction motor at rated conditions is $50$ A. Neglecting losses and magnetizing current, the approximate locked rotor line current drawn when the motor is connected to a $236$ V, $57$ Hz supply is $58.5$ A $45.0$ A $42.7$ A $55.6$ A
asked
Mar 24, 2018
in
new
by
Andrijana3306
(
1.4k
points)
gate2012ee
0
votes
0
answers
13
GATE2014346
The magnitude Bode plot of a network is shown in the figure The maximum phase angle $\phi _m$ and the corresponding gain $G_m$ respectively, are $30^{\circ}$ and $1.73$ $dB$ $30^{\circ}$ and $477$ $dB$ $+30^{\circ}$ and $4.77$ $dB$ $+30^{\circ}$ and $1.73$ $dB$
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2014ee3
bodeplot
stability
0
votes
0
answers
14
GATE2016133
Given the following polynomial equation $s^{3}+5.5 s^{2}+8.5s+3=0$ the number of roots of the polynomial, which have real parts strictly less than $−1$, is ________.
asked
Jan 30, 2017
in
Linear Algebra
by
makhdoom ghaya
(
9.3k
points)
gate2016ee1
multiplicity
degreeofpolynomial
numericalanswers
0
votes
0
answers
15
GATE2014116
A $2$bus system and corresponding zero sequence network are shown in the figure. The transformers $T_1$and $T_2$ are connected as
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.3k
points)
gate2014ee1
sequencenetworks
bussystem
0
votes
0
answers
16
GATE2016232
Let $P=\begin{bmatrix} 3&1 \\ 1 & 3 \end{bmatrix}$ Consider the set $S$ of all vectors $\begin{pmatrix} x\\ y \end{pmatrix}$ such that $a^{2}+b^{2}=1$ ... An ellipse with major axis along $\begin{pmatrix} 1\\ 1 \end{pmatrix}$ An ellipse with minor axis along $\begin{pmatrix} 1\\ 1 \end{pmatrix}$
asked
Jan 30, 2017
in
Linear Algebra
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
circleequations
vectors
0
votes
0
answers
17
GATE2015149
A DC motor has the following specifications: $10$ hp, $37.5$ A, $230$ V; flux/pole = $0.01$ Wb, number of poles = $4$, number of conductors = $666$, number of parallel paths = $2$. Armature resistance = $0.267 \Omega$. The armature reaction is negligible ... W. The motor operates from a $230$ V DC supply. If the motor runs at $1000$ rpm, the output torque produced (in Nm) is ________.
asked
Feb 12, 2017
in
Electrical Machines
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
armatureresistance
outputtorque
numberofparallelpaths
numericalanswers
0
votes
0
answers
18
GATE2015144
A sustained threephase fault occurs in the power system shown in the figure. The current and voltage phasors during the fault (on a common reference), after the natural transients have died down, are also shown. Where is the fault located? Location $P$ Location $Q$ Location $R$ Location $S$
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
singlelinediagram
faultanalysis
0
votes
0
answers
19
GATE2019 EE: GA10
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 13, 2019
in
Verbal Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
verbalability
verbalreasoning
0
votes
0
answers
20
GATE2017253
Two generating units rated $300$MW and $400$MW have governor speed regulation of $6 \%$ and $4 \%$ respectively from no load to full load. Both the generating units are operating in parallel to share a load of $600$MW. Assuming free governor action, the load shared by the larger unit is _________ MW.
asked
Feb 27, 2017
in
new
by
Arjun
(
5.4k
points)
gate2017ee2
numericalanswers
0
votes
0
answers
21
GATE2017151
Consider a causal and stable $LTI$ system with rational transfer function $H(z)$, whose corresponding impulse response begins at $n=0$. Furthermore, $H(1)=\frac{5}{4}$. The poles of $H(z)$ are $p_{k}=\frac{1}{\sqrt{2}} \text{exp}(j\frac{(2k1)\pi}{4})$ ... all at $z=0$. Let $g[n]=j^{n}h[n]$. The value of $g[8]$ equals __________. (Give the answer up to three decimal places.)
asked
Feb 27, 2017
in
new
by
Arjun
(
5.4k
points)
gate2017ee1
numericalanswers
0
votes
0
answers
22
GATE2014316
A $183$bus power system has $150$ $PQ$ buses and $32$ $PV$ buses. In the general case, to obtain the load flow solution using NewtonRaphson method in polar coordinates, the minimum number of simultaneous equations to be solved is ___________.
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.3k
points)
gate2014ee3
slackbus
linelosses
numericalanswers
0
votes
0
answers
23
GATE20143GA6
A dance programme is scheduled for $10.00$ $a.m$. Some students are participating in the programme and they need to come an hour earlier than the start of the event. These students should be accompanied by a parent. Other students and parents should come in time for the programme ... $9.00$ $a.m$. All others should come at $10.00$ $a.m$.
asked
Feb 12, 2017
in
Numerical Ability
by
makhdoom ghaya
(
9.3k
points)
gate2014ee3
generalmathematics
logical
0
votes
0
answers
24
GATE2015153
The transfer function of a second order real system with a perfectly flat magnitude response of unity has a pole at $(2 − j3)$. List all the poles and zeroes. Poles at $(2 \pm j3)$, no zeroes. Poles at $(\pm 2 − j3)$, one zero at origin. Poles at $(2 − j3)$, $(−2 + j3)$, zeroes at $(−2 − j3)$, $(2 + j3)$. Poles at $(2 \pm j3)$, zeroes at $(−2 \pm j3)$.
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
secondorderrealsystem
poles
zeroes
0
votes
0
answers
25
GATE2019 EE: GA3
The missing number in the given sequence $343,1331,$_____$,4913$ is $3375$ $2744$ $2197$ $4096$
asked
Feb 13, 2019
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
numericalability
sequenceseries
0
votes
0
answers
26
GATE201854
The equivalent circuit of a single phase induction motor is shown in the figure, where the parameters are $R_1 =R_2=X_{l1}=X_{l2} = 12 \Omega$, $X_M=240 \: \Omega$ and $S$ is the slip. At noload, the motor speed can be approximated to the synchronous speed. The noload lagging power factor of the motor is __________ (up to $3$ decimal places).
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
numericalanswers
0
votes
0
answers
27
GATE2016242
The flux linkage $(\lambda)$ and current $(i)$ relation for an electromagnetic system is $\lambda=(\sqrt{i})/g$. When $i = 2A$ and $g$ (airgap length) = $10$ cm, the magnitude of mechanical force on the moving part, in $N$, is __________.
asked
Jan 30, 2017
in
Electromagnetic Fields
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
flux
linkage
electromagneticsystem
numericalanswers
0
votes
0
answers
28
GATE20172GA9
The number of roots of $e^{x}+0.5x^{2}2=0$ in the range $[5, 5]$ is $0$ $1$ $2$ $3$
asked
Feb 27, 2017
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2017ee2
0
votes
0
answers
29
GATE2015117
Base load power plants are P: wind farms. Q: runofriver plants. R: nuclear power plants. S: diesel power plants. P, Q and S only P, R and S only P, Q and R only Q and R only
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
powerplants
powergeneration
0
votes
0
answers
30
GATE2019 EE: 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}{z0.5} \\ $ $\frac{z^{2}1}{z+j0.5} $
asked
Feb 13, 2019
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
31
GATE2019 EE: 8
A $5kVA, 50V/100V,$ singlephase transformer has a secondary terminal voltage of $95V$ when loaded. The regulation of the transformer is $4.5\%$ $9\%$ $5\%$ $1\%$
asked
Feb 13, 2019
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
32
GATE20171GA10
A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at $25$m intervals in this plot. If in a flood, the water level rises to $525$m, which of the villages $P, Q, R, S, T$ get submerged? $P, Q$ $P, Q, T$ $R, S, T$ $Q, R, S$
asked
Feb 27, 2017
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2017ee1
+1
vote
0
answers
33
GATE201322
Three moving iron type voltmeters are connected as shown below. Voltmeter readings are $V$, $V1$ and $V2$ , as indicated. The correct relation among the voltmeter readings is $V=\dfrac{V1}{\sqrt{2}}+\dfrac{V2}{\sqrt{2}}$ $V =V_1 +V_2$ $V =V_1V_2$ $V =V_2  V_1$
asked
Feb 12, 2017
in
Electrical Circuits
by
piyag476
(
1.5k
points)
gate2013ee
voltagesource
lcfilter
0
votes
0
answers
34
GATE2019 EE: GA4
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 13, 2019
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
numericalability
worktime
0
votes
0
answers
35
GATE2019 EE: 19
The current $I$ is flowing in the circuit shown below in amperes (round off to one decimal place) is _________
asked
Feb 13, 2019
in
new
by
Arjun
(
5.4k
points)
gate2019ee
numericalanswers
0
votes
0
answers
36
GATE201258
Choose the most appropriate alternative from the options given below to complete the following sentence: $\textbf{If the tired soldier wanted to lie down, he _______ the mattress out on the balcony.}$ should take shall take should have taken will have taken
asked
Mar 24, 2018
in
Verbal Ability
by
Andrijana3306
(
1.4k
points)
gate2012ee
0
votes
0
answers
37
GATE2020EE25
The crosssection of a metaloxidesemiconductor structure is shown schematically. Starting from an uncharged condition, a bias of $\text{+3 V}$ is applied to the gate contact with respect to the body contact. The charge inside the silicon dioxide layer is ... of bias, expressed as a multiple of $\text{Q}$ (absolute value in Coulombs, rounded off to the nearest integer) is___________
asked
Feb 28
in
new
by
jothee
(
1.4k
points)
gate2020ee
0
votes
0
answers
38
GATE201842
As shown in the figure, $C$ is the arc from the point $(3,0)$ to the point $(0,3)$ on the circle $x^2+y^2=9$. The value of the integral $\int_C (y^2+2yx) dx +(2xy+x^2)dy$ is ________ (up to $2$ decimal places).
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
numericalanswers
0
votes
0
answers
39
GATE201841
In the circuit shown in the figure, the bipolar junction transistor (BJT) has a current gain $\beta = 100$. The baseemitter voltage drop is a constant, $V_{BE}=0.7 \: V$. The value of the Thevenin equivalent resistance $R_{Th}$ (in $\Omega$) as shown in the figure is _________ (up to $2$ decimal places)
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
numericalanswers
0
votes
1
answer
40
GATE20172GA1
Choose the option with words that are not synonyms. Aversion, dislike. Luminous, radiant. Plunder, loot Yielding, resistant.
asked
Feb 27, 2017
in
Verbal Ability
by
Arjun
(
5.4k
points)
gate2017ee2
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