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1
GATE20151GA8
The piechart below has the breakup of the number of students from different departments in an engineering college for the year $2012$. The proportion of male to female students in each department is $5:4$. There are $40$ males in ... What is the difference between the numbers of female students in the Civil department and the female students in the Mechanical department?
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Feb 12, 2017
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Probability & Statistics
by
makhdoom ghaya
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gate2015ee1
charts
stats
numericalanswers
0
votes
0
answers
2
GATE20151GA9
The probabilities that a student passes in Mathematics, Physics, and Chemistry are $m, p,$ and $c$ respectively. Of these subjects, the student has $75$% chance of passing in at least one, a $50$% chance of passing in at least two and a $40$% chance of passing in ... $I$ is true. Only relation $II$ is true. Relations $II$ and $III$ are true. Relations $I$ and $III$ are true.
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Feb 12, 2017
in
Probability & Statistics
by
makhdoom ghaya
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9.2k
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gate2015ee1
events
samplespace
0
votes
0
answers
3
GATE20151GA10
The number of students in a class who have answered correctly, wrongly, or not attempted each question in an exam, are listed in the table below. The marks for each question are also listed. There is no negative or partial marking. Q No. Marks Answered correctly Answered ... is the average of the marks obtained by the class in the examination? $2.290$ $2.970$ $6.795$ $8.795$
asked
Feb 12, 2017
in
Numerical Ability
by
makhdoom ghaya
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9.2k
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gate2015ee1
average
generalmathematics
0
votes
0
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4
GATE20151GA1
Didn't you buy _________when you went shopping? Any paper Much paper No paper A few paper
asked
Feb 12, 2017
in
Verbal Ability
by
makhdoom ghaya
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9.2k
points)
gate2015ee1
vocabulary
verbal
0
votes
0
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5
GATE2016252
The gain at the breakaway point of the root locus of a unity feedback system with open loop transfer function $G(s)=\frac{Ks}{(s1)(s4)}$ is $1$ $2$ $5$ $9$
asked
Jan 30, 2017
in
Control Systems
by
makhdoom ghaya
(
9.2k
points)
gate2016ee2
gain
breakawaypoint
unityfeedbacksystem
0
votes
0
answers
6
GATE2016253
Two identical unloaded generators are connected in parallel as shown in the figure. Both the generators are having positive, negative and zero sequence impedances of $j0.4$ p.u., $j0.3$ p.u. and $j0.15$ p.u., respectively. If the prefault voltage is $1$ p.u., for a linetoground $(LG)$ fault at the terminals of the generators, the fault current, in p.u., is ___________.
asked
Jan 30, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2016ee2
sequenceimpedences
prefaultvoltage
numericalanswers
0
votes
0
answers
7
GATE2016254
An energy meter, having meter constant of $1200$ revolutions/kWh, makes $20$ revolutions in $30$ seconds for a constant load. The load, in $kW$, is __________.
asked
Jan 30, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2016ee2
energymeter
revolutions
constantload
numericalanswers
0
votes
0
answers
8
GATE2016255
A rotating conductor of $1$ m length is placed in a radially outward (about the $z$axis) magnetic flux density $(B)$ of $1$ Tesla as shown in figure below. Conductor is parallel to and at $1$ m distance from the $z$axis. The speed of the conductor in r.p.m. required to induce a voltage of $1$ V across it, should be __________.
asked
Jan 30, 2017
in
Electromagnetic Fields
by
makhdoom ghaya
(
9.2k
points)
gate2016ee2
magneticfluxdensity
conductor
numericalanswers
0
votes
0
answers
9
GATE2016248
A singlephase bidirectional voltage source converter $(VSC)$ is shown in the figure below. All devices are ideal. It is used to charge a battery at $400$ V with power of $5$ kW from a source $V_{s} = 220$ V (rms), $50$ Hz sinusoidal $AC$ mains at unity p.f ... $(\delta)$ between $AC$ mains voltage $(V_{s})$ and fundamental $AC$ rms $VSC$ voltage $(V_{C1})$, in degree, is __________.
asked
Jan 30, 2017
in
Analog and Digital Electronics
by
makhdoom ghaya
(
9.2k
points)
gate2016ee2
voltagesourceconverter
phaseshift
numericalanswers
0
votes
0
answers
10
GATE2016249
Consider a linear time invariant system $\dot{x}=Ax$ with initial condition $x(0)$ at $t=0$. Suppose $\alpha$ and $\beta$ are eigenvectors of $(2 \times 2)$ matrix $A$ corresponding to distinct eigenvalues $\lambda_{1}$ and $\lambda_{2}$ respectively. Then the response $x(t)$ ... $e^{\lambda_{2}t}\beta$ $e^{\lambda_{2}t}\alpha$ $e^{\lambda_{1}t}\alpha+e^{\lambda_{2}t}\beta$
asked
Jan 30, 2017
in
Linear Algebra
by
makhdoom ghaya
(
9.2k
points)
gate2016ee2
lineartimeinvariantsystem
eigenvalues
0
votes
0
answers
11
GATE2016250
A secondorder real system has the following properties: a) the damping ratio $\zeta=0.5$ and undamped natural frequency $\omega _{n}=10$ rad/s b) the steady state value of the output, to a unit step input, is $1.02$. The transfer function of the system is $\frac{1.02}{s^{2}+5s+100}$ $\frac{102}{s^{2}+10s+100}$ $\frac{100}{s^{2}+10s+100}$ $\frac{102}{s^{2}+5s+100}$
asked
Jan 30, 2017
in
Control Systems
by
makhdoom ghaya
(
9.2k
points)
gate2016ee2
dampingratio
naturalfrequency
0
votes
0
answers
12
GATE2016251
Three singlephase transformers are connected to form a deltastar threephase transformer of $110$ kV/ $11$ kV. The transformer supplies at $11$ kV a load of $8$ MW at $0.8$ p.f. lagging to a nearby plant. Neglect the transformer losses. The ratio of phase currents in delta side to star side is $1 : 10\sqrt{3}$ $10\sqrt{3} : 1$ $1 : 10$ $\sqrt{3} : 10$
asked
Jan 30, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2016ee2
deltastarconnections
transformerlosses
0
votes
0
answers
13
GATE2016244
A singlephase, $2$ kVA, $100/200$ V transformer is reconnected as an autotransformer such that its $kVA$ rating is maximum. The new rating, in $kVA$, is ______.
asked
Jan 30, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2016ee2
autotransformer
rating
numericalanswers
0
votes
0
answers
14
GATE2016245
A fullbridge converter supplying an $RLE$ load is shown in figure. The firing angle of the bridge converter is $120$°. The supply voltage $v_{m}(t) =200\pi \sin (100\pi t) V, R=20\Omega, E=800 V$. The inductor $L$ is large enough to make the output current $I_{L}$ a smooth dc current. Switches are lossless. The real power fed back to the source, in $kW$, is _________.
asked
Jan 30, 2017
in
Analog and Digital Electronics
by
makhdoom ghaya
(
9.2k
points)
gate2016ee2
fullbridgeconverter
firingangle
numericalanswers
0
votes
0
answers
15
GATE2016246
A threephase Voltage Source Inverter $(VSI)$ as shown in the figure is feeding a delta connected resistive load of $30 \Omega$/phase. If it is fed from a $600$ V battery, with $180$° conduction of solidstate devices, the power consumed by the load, in kW, is __________.
asked
Jan 30, 2017
in
Analog and Digital Electronics
by
makhdoom ghaya
(
9.2k
points)
gate2016ee2
voltagesourceinverter
solidstatedevices
numericalanswers
0
votes
0
answers
16
GATE2016247
A $DCDC$ boost converter, as shown in the figure below, is used to boost $360$ V to $400$ V, at a power of $4$ kW. All devices are ideal. Considering continuous inductor current, the rms current in the solid state switch $(S)$, in ampere, is _________.
asked
Jan 30, 2017
in
Analog and Digital Electronics
by
makhdoom ghaya
(
9.2k
points)
gate2016ee2
boostconverter
inductorcurrent
numericalanswers
0
votes
0
answers
17
GATE2016240
At no load condition, a $3$phase, $50$ Hz, lossless power transmission line has sendingend and receivingend voltages of $400$ kV and $420$ kV respectively. Assuming the velocity of traveling wave to be the velocity of light, the length of the line, in km, is ____________.
asked
Jan 30, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2016ee2
losslesspowertransmissionline
travelingwave
numericalanswers
0
votes
0
answers
18
GATE2016241
The power consumption of an industry is $500$ kVA, at $0.8$ p.f. lagging. A synchronous motor is added to raise the power factor of the industry to unity. If the power intake of the motor is $100$ kW, the p.f. of the motor is ___________.
asked
Jan 30, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2016ee2
synchronousmotor
powerfactor
powerintake
numericalanswers
0
votes
0
answers
19
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
(
9.2k
points)
gate2016ee2
flux
linkage
electromagneticsystem
numericalanswers
0
votes
0
answers
20
GATE2016243
The starting line current of a $415$ V, $3$phase, delta connected induction motor is $120$ A, when the rated voltage is applied to its stator winding. The starting line current at a reduced voltage of $110$ V, in ampere, is __________.
asked
Jan 30, 2017
in
Electrical Machines
by
makhdoom ghaya
(
9.2k
points)
gate2016ee2
linecurrent
inductionmotor
numericalanswers
0
votes
0
answers
21
GATE2016236
In the balanced $3$phase, $50$ Hz, circuit shown below, the value of inductance $(L)$ is $10$ mH. The value of the capacitance $(C)$ for which all the line currents are zero, in millifarads, is ___________.
asked
Jan 30, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2016ee2
balancedsystem
line
currents
numericalanswers
0
votes
0
answers
22
GATE2016237
In the circuit shown below, the initial capacitor voltage is $4 V$. Switch $S_{1}$ is closed at $t=0$. The charge (in $\mu C$) lost by the capacitor from $t=25 \mu s$ to $t=100 \mu s$ is _________.
asked
Jan 30, 2017
in
Electrical Circuits
by
makhdoom ghaya
(
9.2k
points)
gate2016ee2
capacitorvoltage
seriescircuit
numericalanswers
+1
vote
0
answers
23
GATE2016238
The single line diagram of a balanced power system is shown in the figure. The voltage magnitude at the generator internal bus is constant and $1.0$ p.u. The p.u. reactances of different components in the system are also shown in the figure ... can be transferred during the prefault condition to the maximum real power that can be transferred under the faulted condition is _________.
asked
Jan 30, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2016ee2
singlelinediagram
threephasefault
prefaultcondition
numericalanswers
0
votes
0
answers
24
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
(
9.2k
points)
gate2016ee2
transferfunction
unityfeedbackcontrolsystem
0
votes
0
answers
25
GATE2016233
Let the probability density function of a random variable, $X$, be given as: $f_{x}(x)=\frac{3}{2}e^{3x}u(x)+ae^{4x}u(x)$ where u(x) is the unit step function. Then the value of 'a' and prob $\left\{X \leq 0\right\}$, respectively are $2, \frac{1}{2}$ $4, \frac{1}{2}$ $2, \frac{1}{4}$ $4, \frac{1}{4}$
asked
Jan 30, 2017
in
Probability & Statistics
by
makhdoom ghaya
(
9.2k
points)
gate2016ee2
randomvariable
probabilitydensity
unitstepfunction
0
votes
0
answers
26
GATE2016234
The driving point input impedance seen from the source $V_{s}$ of the circuit shown below, in $\Omega$, is ______.
asked
Jan 30, 2017
in
Electrical Circuits
by
makhdoom ghaya
(
9.2k
points)
gate2016ee2
meshanalysis
nodalanalysis
kvl
kcl
numericalanswers
0
votes
0
answers
27
GATE2016235
The $z$parameters of the two port network shown in the figure are $z_{11}=40\Omega, z_{12}=60\Omega, z_{21}=80\Omega$ and $z_{22}=100\Omega$. The average power delivered to $R_{L}=20\Omega$, in watts, is ________.
asked
Jan 30, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2016ee2
averagepower
networkanalysis
numericalanswers
0
votes
0
answers
28
GATE2016229
The value of the integral $2\int_{\infty}^{\infty} (\frac{\sin2\pi t}{\pi t}) \text{d}t$ is equal to $0$ $0.5$ $1$ $2$
asked
Jan 30, 2017
in
Calculus
by
makhdoom ghaya
(
9.2k
points)
gate2016ee2
theoremofintegral
definiteintegral
0
votes
0
answers
29
GATE2016230
Let $y(x)$ be the solution of the differential equation $\frac{d^{2}y}{dx^{2}}4\frac{dy}{dx}+4y=0$ with initial conditions $y(0)=0$ and $\frac{dy}{dx}\mid _{x=0}=1$ Then the value of $y(1)$ is _________.
asked
Jan 30, 2017
in
Differential Equations
by
makhdoom ghaya
(
9.2k
points)
gate2016ee2
quadraticequation
boundarylimits
numericalanswers
0
votes
0
answers
30
GATE2016231
The line integral of the vector field $F=5xz \hat{i}+(3x^{2}+2y)\hat{j}+x^{2}z\hat{k}$ along a path from $(0,0,0)$ to $(1,1,1)$ parametrized by $(t, t^{2}, t)$ is ________.
asked
Jan 30, 2017
in
Electromagnetic Fields
by
makhdoom ghaya
(
9.2k
points)
gate2016ee2
electromagnetism
electromagnetictheory
field
numericalanswers
0
votes
0
answers
31
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
(
9.2k
points)
gate2016ee2
circleequations
vectors
0
votes
0
answers
32
GATE2016225
Two electrodes, whose crosssectional view is shown in the figure below, are at the same potential. The maximum electric field will be at the point $A$ $B$ $C$ $D$
asked
Jan 30, 2017
in
Electromagnetic Fields
by
makhdoom ghaya
(
9.2k
points)
gate2016ee2
electric field intensity
electric flux density
potentialgradient
0
votes
0
answers
33
GATE2016226
The Boolean expression $\overline{(a+\bar{b}+c+\bar{d})+(b+\bar{c})}$ simplifies to $1$ $\overline{a.b}$ $a.b$ $0$
asked
Jan 30, 2017
in
Analog and Digital Electronics
by
makhdoom ghaya
(
9.2k
points)
gate2016ee2
booleanalgebra
demorgan'stheorem
absorptiontheorem
0
votes
0
answers
34
GATE2016227
For the circuit shown below, taking the opamp as ideal, the output voltage $V_{out}$ in terms of the input voltages $V_{1}, V_{2}$ and $V_{3}$ is $1.8V_{1} + 7.2V_{2} V_{3}$ $2V_{1} + 8V_{2}  9V_{3}$ $7.2V_{1} + 1.8V_{2} V_{3}$ $8V_{1} + 2V_{2}  9V_{3}$
asked
Jan 30, 2017
in
Electrical Circuits
by
makhdoom ghaya
(
9.2k
points)
gate2016ee2
operationalamplifier
feedbackresistance
revese
0
votes
0
answers
35
GATE2016228
Let $x_{1}(t)\leftrightarrow X_{1}(\omega )$ and $x_{2}(t)\leftrightarrow X_{2}(\omega )$ be two signals whose Fourier Transforms are as shown in the figure below. In the figure, $h(t)=e^{2t}$ denotes the impulse response. For the system shown above, the minimum sampling ... $2B_{1}$ $2(B_{1}+B_{2})$ $4(B_{1}+B_{2})$ $\infty$
asked
Jan 30, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.2k
points)
gate2016ee2
evenfunctions
impulseresponse
exponentialfunction
0
votes
0
answers
36
GATE2016221
For the network shown in the figure below, the frequency (in rad/s) at which the maximum phase lag occurs is, ___________.
asked
Jan 30, 2017
in
Electrical Circuits
by
makhdoom ghaya
(
9.2k
points)
gate2016ee2
voltageleads
currentleads
rcfilter
numericalanswers
0
votes
0
answers
37
GATE2016222
The direction of rotation of a singlephase capacitor run induction motor is reversed by Interchanging the terminals of the AC supply. Interchanging the terminals of the capacitor. Interchanging the terminals of the auxiliary winding. Interchanging the terminals of both the windings.
asked
Jan 30, 2017
in
Electrical Machines
by
makhdoom ghaya
(
9.2k
points)
gate2016ee2
pitchfactor
coilspan
statorslots
fluxperpole
0
votes
0
answers
38
GATE2016223
In the circuit shown below, the voltage and current sources are ideal. The voltage $(V_{out})$ across the current source, in volts, is $0$ $5$ $10$ $20$
asked
Jan 30, 2017
in
Electrical Circuits
by
makhdoom ghaya
(
9.2k
points)
gate2016ee2
superposition
thevenintheorem
nortontheorem
resistiveload
0
votes
0
answers
39
GATE2016224
The graph associated with an electrical network has $7$ branches and $5$ nodes. The number of independent $KCL$ equations and the number of independent $KVL$ equations, respectively, are $2$ and $5$ $5$ and $2$ $3$ and $4$ $4$ and $3$
asked
Jan 30, 2017
in
Electrical Circuits
by
makhdoom ghaya
(
9.2k
points)
gate2016ee2
kirchhoff'svoltagelaw
nodalanalysis
meshanalysis
0
votes
0
answers
40
GATE2016217
A $50$ MVA, $10$ kV, $50$ Hz, starconnected, unloaded threephase alternator has a synchronous reactance of $1$ p.u. and a subtransient reactance of $0.2$ p.u. If a $3$phase short circuit occurs close to the generator terminals, the ratio of initial and final values of the sinusoidal component of the short circuit current is ________.
asked
Jan 30, 2017
in
Electrical Machines
by
makhdoom ghaya
(
9.2k
points)
gate2016ee2
reactivepowersupplier
fieldemf
electricalangle
mechanicalangle
numericalanswers
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