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1
GATE20152GA10
Four branches of a company are located at $M, N, O$ and $P, M$ is north of $N$ at a distance of $4$ km; $P$ is south of $O$ at a distance of $2$ km; $N$ is southeast of $O$ by $1$ km. What is the distance between $M$ and $P$ in km? $5.34$ $6.74$ $28.5$ $45.49$
asked
Feb 12, 2017
in
Numerical Ability
by
makhdoom ghaya
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9.3k
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gate2015ee2
analytical
generalmathematics
0
votes
0
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2
GATE20152GA1
We _________ our friend's birthday and we ________ how to make it up to him. Completely forgot  don't just know Forgot completely  don't just know Completely forgot  just don't know Forgot completely  just don't know
asked
Feb 12, 2017
in
Verbal Ability
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9.3k
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gate2015ee2
vocabulary
verbal
0
votes
0
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3
GATE20152GA2
Choose the statement where underlined word is used correctly. The industrialist had a personnel jet. I write my experience in my personnel diary. All personnel are being given the day off. Being religious is a personnel aspect.
asked
Feb 12, 2017
in
Verbal Ability
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makhdoom ghaya
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9.3k
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gate2015ee2
vocabulary
verbal
0
votes
0
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4
GATE2015154
Find the transfer function $\frac{Y(s)}{X(s)}$ of the system given below $\frac{G_{1}}{1HG_{1}} + \frac{G_{2}}{1HG_{2}}$ $\frac{G_{1}}{1+HG_{1}} + \frac{G_{2}}{1+HG_{2}}$ $\frac{G_{1}+G_{2}}{1+H (G_{1}+G_{2})}$ $\frac{G_{1}+G_{2}}{1H (G_{1}+G_{2})}$
asked
Feb 12, 2017
in
new
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
transferfunction
feedbacksystem
0
votes
0
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5
GATE2015155
The open loop poles of a third order unity feedback system are at $0, −1, −2$. Let the frequency corresponding to the point where the root locus of the system transits to unstable region be $K$. Now suppose we introduce a zero in the open loop ... corresponds to a frequency less than $K$ It corresponds to a frequency $K$ Root locus of modified system never transits to unstable region
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
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gate2015ee1
rootlocus
unityfeedbacksystem
0
votes
0
answers
6
GATE2015142
Determine the correctness or otherwise of the following Assertion $[a]$ and the Reason $[r]$. Assertion: Fast decoupled load flow method gives approximate load flow solution because it uses several assumptions. Reason: Accuracy depends on the power mismatch vector tolerance. Both $[a]$ and $[r]$ ... reason for $[a]$. Both $[a]$ and $[r]$ are false. $[a]$ is false and $[r]$ is true.
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
powerflows
linelosses
0
votes
0
answers
7
GATE2015143
A $50$ Hz generating unit has Hconstant of $2$ MJ/MVA. The machine is initially operating in steady state at synchronous speed, and producing $1$ pu of real power. The initial value of the rotor angle $\delta$ is 5°, when a bolted three phase to ground short ... input mechanical power to remain at $1$ pu, the value of $\delta$ in degrees, $0.02$ second after the fault is _________.
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
shortcircuitfault
synchronousspeed
numericalanswers
0
votes
0
answers
8
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
9
GATE2015145
The circuit shown in the figure has two sources connected in series. The instantaneous voltage of the $AC$ source (in Volt) is given by $v(t) = 12 \sin t$. If the circuit is in steady state, then the rms value of the current (in Ampere) flowing in the circuit is ________.
asked
Feb 12, 2017
in
Electrical Circuits
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
seriesconnection
steady
state
numericalanswers
0
votes
0
answers
10
GATE2015146
In a linear twoport network, when $10$ V is applied to Port $1$, a current of $4$ A flows through Port $2$ when it is shortcircuited. When $5$ V is applied to Port $1$, a current of $1.25$ A flows through a $1 \Omega$ resistance connected across Port $2$. When $3$ V is applied to Port $1$, the current (in Ampere) through a $2 \Omega$ resistance connected across Port $2$ is ________.
asked
Feb 12, 2017
in
Electrical Circuits
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
network
nodalanalysis
numericalanswers
0
votes
0
answers
11
GATE2015147
In the given circuit, the parameter $k$ is positive, and the power dissipated in the $2 \Omega$ resistor is $12.5$W. The value of $k$ is _________.
asked
Feb 12, 2017
in
Electrical Circuits
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
dependentsources
nodalanalysis
numericalanswers
0
votes
0
answers
12
GATE2015148
A separately excited $DC$ motor runs at $1000$ rpm on no load when its armature terminals are connected to a $200$V DC source and the rated voltage is applied to the field winding. The armature resistance of this motor is $1 \Omega$. The ... voltage conditions, the speed rises to $520$ rpm. Neglecting the rotational losses, the full load armature current (in Ampere) is ____________.
asked
Feb 12, 2017
in
Electrical Machines
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
separatelyexcited
noloadarmaturecurrent
numericalanswers
0
votes
0
answers
13
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
14
GATE2015150
A $200/400$ V, $50$ Hz, twowinding transformer is rated at $20$ kVA. Its windings are connected as an autotransformer of rating $200/600$ V. A resistive load of $12 \Omega$ is connected to the high voltage ($600$ V) side of the autotransformer. The value of equivalent load resistance (in Ohm) as seen from low voltage side is _________.
asked
Feb 12, 2017
in
new
by
makhdoom ghaya
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9.3k
points)
gate2015ee1
twowinding
transformer
autotransformer
numericalanswers
0
votes
0
answers
15
GATE2015151
Two singlephase transformers $T_{1}$ and $T_{2}$ each rated at $500$ kVA are operated in parallel. Percentage impedances of $T_{1}$ and $T_{2}$ are $(1 + j6)$ and $(0.8 + j4.8)$, respectively. To share a load of $1000$ kVA at $0.8$ lagging power factor, the contribution of $T_{2}$ (in kVA) is _______.
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
laggingpowerfactor
singlephasetransformers
numericalanswers
0
votes
0
answers
16
GATE2015152
In the signal flow diagram given in the figure, $u_{1}$ and $u_{2}$ are possible inputs whereas $y_{1}$ and $y_{2}$ are possible outputs. When would the SISO system derived from this diagram be controllable and observable? When $u_{1}$ is the only input and $y_{1}$ is ... is the only input and $y_{2}$ is the only output. When $u_{2}$ is the only input and $y_{2}$ is the only output.
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
flowdiagram
transferfunction
0
votes
0
answers
17
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
18
GATE2015131
The circuit shown is meant to supply a resistive load $R_{L}$ from two separate $DC$ voltage sources. The switches $S1$ and $S2$ are controlled so that only one of them is $ON$ at any instant. $S1$ is turned on for $0.2 ms$ and $S2$ is ... conduction of the inductor current and negligible ripple on the capacitor voltage, the output voltage $V_{0}$ (in Volt) across $R_{L}$ is _______.
asked
Feb 12, 2017
in
Electrical Circuits
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
ripplevoltages
timeperiod
numericalanswers
0
votes
0
answers
19
GATE2015132
A self commutating switch $SW$, operated at duty cycle $\delta$ is used to control the load voltage as shown in the figure Under steady state operating conditions, the average voltage across the inductor and the capacitor respectively, are $V_{L}=0$ and $V_{c}=\frac{1}{1\delta} V_{dc}$ ... $V_{L}=\frac{\delta}{2}V_{dc}$ and $V_{c}=\frac{\delta}{1\delta} V_{dc}$
asked
Feb 12, 2017
in
Analog and Digital Electronics
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
dutycycle
selfcommutatingswitch
0
votes
0
answers
20
GATE2015133
The singlephase fullbridge voltage source inverter (VSI), shown in figure, has an output frequency of $50$ Hz. It uses unipolar pulse width modulation with switching frequency of $50$ kHz and modulation index of $0.7$ ... $R = 5 \Omega$, the amplitude of the fundamental component in the output voltage $V_{o}$ (in Volt) under steadystate is ________.
asked
Feb 12, 2017
in
Analog and Digital Electronics
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
modulationindex
pulsewidthmodulation
numericalanswers
0
votes
0
answers
21
GATE2015134
A $3$phase $50$ Hz square wave ($6$step) VSI feeds a $3$phase, $4$ pole induction motor. The VSI line voltage has a dominant $5^{th}$ harmonic component. If the operating slip of the motor with respect to fundamental component voltage is $0.04$, the slip of the motor with respect to $5^{th}$ harmonic component of voltage is _________.
asked
Feb 12, 2017
in
Electrical Machines
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
harmonic
slip
numericalanswers
0
votes
0
answers
22
GATE2015135
Consider a discrete time signal given by $x[n]= (0.25)^{n} u[n]+(0.5)^{n} u [n1]$ The region of convergence of its $Z$transform would be The region inside the circle of radius $0.5$ and centered at origin The region outside the circle ... centered at origin The annular region between the two circles, both centered at origin and having radii $0.25$ and $0.5$ The entire $Z$ plane.
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
discretetimesignal
convergence
0
votes
0
answers
23
GATE2015136
A parallel plate capacitor is partially filled with glass of dielectric constant $4.0$ as shown below. The dielectric strengths of air and glass are $30$ kV/cm and $300$ kV/cm, respectively. The maximum voltage (in kilovolts), which can be applied across the capacitor without any breakdown, is ______.
asked
Feb 12, 2017
in
Electromagnetic Fields
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
dielectric
parallelplatecapacitor
numericalanswers
0
votes
0
answers
24
GATE2015137
The figure shows a digital circuit constructed using negative edge triggered $JK$ flip flops. Assume a starting state of $Q_{2}Q_{1}Q_{0}=000$. This state $Q_{2}Q_{1}Q_{0}=000$ will repeat after _______ number of cycles of the clock $CLK$.
asked
Feb 12, 2017
in
Analog and Digital Electronics
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
flipflops
latches
numericalanswers
0
votes
0
answers
25
GATE2015138
$f(A, B, C, D)$ = $\pi M(0,1,3,4,5,7,9,11,12,13,14,15)$ is a maxterm representation of a Boolean function $f (A, B, C, D)$ where $A$ is the $MSB$ and $D$ is the $LSB$. The equivalent minimized representation of this function is $(A +\bar{C}+D) (\bar{A}+B+D)$ ... $(B+\bar{C}+D) (A+\bar{B}+\bar{C}+D) (\bar{A}+B+C+D)$
asked
Feb 12, 2017
in
Analog and Digital Electronics
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
logicgates
booleanalgebra
0
votes
0
answers
26
GATE2015139
The opamp shown in the figure has a finite gain $A = 1000$ and an infinite input resistance. A stepvoltage $V_{i} = 1 mV$ is applied at the input at time $t = 0$ as shown. Assuming that the operational amplifier is not saturated, the time constant (in millisecond) of the output voltage $V_{0}$ is $1001$ $101$ $11$ $1$
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
timeconstant
operationalamplifier
0
votes
0
answers
27
GATE2015140
An $8$bit, unipolar Successive Approximation Register type ADC is used to convert $3.5$ V to digital equivalent output. The reference voltage is $+5$ V. The output of the ADC, at the end of 3rd clock pulse after the start of conversion, is 1010 0000 1000 0000 0000 0001 0000 0011
asked
Feb 12, 2017
in
Analog and Digital Electronics
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
analogtodigitalconverter
register
0
votes
0
answers
28
GATE2015141
Consider the economic dispatch problem for a power plant having two generating units. The fuel costs in Rs/MWh along with the generation limits for the two units are given below: $C_{1}(P_{1})=0.01P^{2}_{1}+30P_{1}+10 ; 100MW \leq P_{1}\leq 150MW$ ... $200$ MW is _______.
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
economicdispatch
incrementalcost
numericalanswers
0
votes
0
answers
29
GATE2015119
For the given circuit, the Thevenin equivalent is to be determined. The Thevenin voltage, $V_{Th}$ (in Volt), seen from terminal $AB$ is __________.
asked
Feb 12, 2017
in
Electrical Circuits
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
theveninvoltage
dependentsources
numericalanswers
0
votes
0
answers
30
GATE2015120
An inductor is connected in parallel with a capacitor as shown in the figure. As the frequency of current $i$ is increased, the impedance $(Z)$ of the network varies as
asked
Feb 12, 2017
in
Electrical Circuits
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
currentstoringelements
voltagestoringelements
0
votes
0
answers
31
GATE2015121
A separately excited $DC$ generator has an armature resistance of $0.1 \Omega$ and negligible armature inductance. At rated field current and rated rotor speed, its opencircuit voltage is $200 V$. When this generator is operated at half the rated speed, with half the rated ... after the capacitor is connected will the voltage across it reach $25 V$? $62.25$ $69.3$ $73.25$ $77.3$
asked
Feb 12, 2017
in
Electrical Machines
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
separatelyexcited
armatureterminals
0
votes
0
answers
32
GATE2015122
The self inductance of the primary winding of a single phase, $50$ Hz, transformer is $800$ mH, and that of the secondary winding is $600$ mH. The mutual inductance between these two windings is $480$ mH. The secondary winding of this transformer is short circuited ... neglected. In this condition, what is the effective inductance (in mH) seen by the source? $416$ $440$ $200$ $920$
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
selfinductance
sinusoidalvoltagesource
0
votes
0
answers
33
GATE2015123
The primary mmf is least affected by the secondary terminal conditions in a Power transformer. Potential transformer. Current transformer. Distribution transformer.
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
primarymmf
turnratio
0
votes
0
answers
34
GATE2015124
A Bode magnitude plot for the transfer function $G(s)$ of a plant is shown in the figure. Which one of the following transfer functions best describes the plant? $\frac{1000(s+10)}{s+1000}$ $\frac{10(s+10)}{s(s+1000)}$ $\frac{s+1000}{10s(s+10)}$ $\frac{s+1000}{10(s+10)}$
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
bodeplot
stability
0
votes
0
answers
35
GATE2015125
For the signalflow graph shown in the figure, which one of the following expressions is equal to the transfer function $\frac{Y(s)}{X_{2}(s)}\mid _{X_{1}(s)=0}$ ? $\frac{G_{1}}{1+G_{2}(1+G_{1})}$ $\frac{G_{2}}{1+G_{1}(1+G_{2})}$ $\frac{G_{1}}{1+G_{1}G_{2}}$ $\frac{G_{2}}{1+G_{1}G_{2}}$
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
signalflowgraph
transferfunction
0
votes
0
answers
36
GATE2015126
The maximum value of "a" such that the matrix $\begin{pmatrix} 3&0&2 \\ 1&1&0 \\ 0&a&2 \end{pmatrix}$ has three linearly independent real eigenvectors is $\frac{2}{3\sqrt{3}}$ $\frac{1}{3\sqrt{3}}$ $\frac{1+2\sqrt{3}}{3\sqrt{3}}$ $\frac{1+\sqrt{3}}{3\sqrt{3}}$
asked
Feb 12, 2017
in
Linear Algebra
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
eigenvalues
eigenmatrix
0
votes
0
answers
37
GATE2015127
A solution of the ordinary differential equation $\frac{d^{2}y}{dt^{2}}+5\frac{dy}{dt}+6y=0$ is such that $y(0) = 2$ and $y(1)= \frac{13e}{e^{3}}$. The value of $\frac{dy}{dt}(0)$ is _______.
asked
Feb 12, 2017
in
Differential Equations
by
makhdoom ghaya
(
9.3k
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gate2015ee1
ordinarydifferentialequation
numericalanswers
0
votes
0
answers
38
GATE2015128
The signum function is given by $ sgn(x)= \begin{cases} \frac{x}{x};x \neq 0& \\ 0;x=0& \end{cases}$ The Fourier series expansion of $sgn (\cos (t) )$ has Only sine terms with all harmonics. Only cosine terms with all harmonics. Only sine terms with even numbered harmonics. Only cosine terms with odd numbered harmonics.
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
signumfunction
fourierseriesexpansion
0
votes
0
answers
39
GATE2015129
Two players, $A$ and $B$, alternately keep rolling a fair dice. The person to get a six first wins the game. Given that player $A$ starts the game, the probability that $A$ wins the game is $5/11$ $1/2$ $7/13$ $6/11$
asked
Feb 12, 2017
in
Probability & Statistics
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
events
population
0
votes
0
answers
40
GATE2015130
An unbalanced $DC$ Wheatstone bridge is shown in the figure. At what value of $P$ will the magnitude of $V_{0}$ be maximum? $\sqrt{(1+x)}$ $(1+x)$ $1/\sqrt{(1+x)}$ $\sqrt{(1x)}$
asked
Feb 12, 2017
in
Electrical Circuits
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
wheatstonebridge
voltagedivider
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