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Previous GATE
0
votes
1
answer
1
GATE2018GA8
A class of twelve children has two more boys than girls. A group of three children are randomly picked from this class to accompany the teacher on a field trip. What is the probability that the group accompanying the teacher contains more girls than boys? $0$ $\frac{325}{864}$ $\frac{525}{864}$ $\frac{5}{12}$
asked
Feb 19, 2018
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2018ee
generalaptitude
numericalability
probability
0
votes
0
answers
2
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
(
9.2k
points)
gate2015ee1
primarymmf
turnratio
0
votes
1
answer
3
GATE2018GA1
“Since you have gone off the ________, the _________ sand is likely to damage the car.” The words that best fill the blanks in the above sentence are course, coarse course, course coarse, course coarse, coarse
asked
Feb 19, 2018
in
Verbal Ability
by
Arjun
(
5.4k
points)
gate2018ee
generalaptitude
verbalability
mostappropriateword
0
votes
0
answers
4
GATE2014114
The undesirable property of an electrical insulating material is high dielectric strength High relative permittivity high thermal conductivity High insulation resistivity
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee1
insulation
powersystemanalysis
conductingwires
0
votes
1
answer
5
GATE2018GA7
In a certain code, $AMCF$ is written as $EQGJ$ and $NKUF$ is written as $ROYJ.$ How will $DHLP$ be written in that code$?$ $RSTN$ $TLPH$ $HLPT$ $XSVR$
asked
Feb 19, 2018
in
Verbal Ability
by
Arjun
(
5.4k
points)
gate2018ee
generalaptitude
verbalability
verbalreasoning
+1
vote
1
answer
6
GATE201422
Consider a dice with the property that the probability of a face with $n$ dots showing up is proportional to $n$. The probability of the face with three dots showing up is ________.
asked
Feb 12, 2017
in
Probability & Statistics
by
makhdoom ghaya
(
9.2k
points)
gate2014ee2
event
randomvariable
0
votes
0
answers
7
GATE2014238
A 20pole alternator is having $180$ identical stator slots with $6$ conductors in each slot. All the coils of a phase are in series. If the coils are connected to realize singlephase winding, the generated voltage is $V_1$. If the coils are reconnected to realize threephase starconnected ... layer winding, the ratio $V_1$/$V_2$ is $\frac{1}{\sqrt{3}}$ $\frac{1}{2}$ $\sqrt{3}$ $2$
asked
Feb 12, 2017
in
Electrical Machines
by
makhdoom ghaya
(
9.2k
points)
gate2014ee2
fullpitchedwinding
generator
0
votes
0
answers
8
GATE2014315
For a fully transposed transmission line positive, negative and zero sequence impedances are equal positive and negative sequence impedances are equal zero and positive sequence impedances are equal negative and zero sequence impedances are equal
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee3
transmissionline
sequences
0
votes
0
answers
9
GATE201337
The clock frequency applied to the digital circuit shown in the figure below is $1$ $kHz$. If the initial state of the output $Q$ of the flipflop is ‘$0$’, then the frequency of the output waveform Q in $kHz$ is $0.25$ $0.5$ $1$ $2$
asked
Feb 12, 2017
in
Analog and Digital Electronics
by
piyag476
(
1.5k
points)
gate2013ee
flipflop
latches
0
votes
1
answer
10
GATE201326
A strain gauge forms one arm of the bridge shown in the figure below and has a nominal resistance without any load as $R_s$ = $300$ . Other bridge resistances are $R_1$ = $R_2$ = $R_3$ = $300$ . The maximum permissible current through the strain gauge is $20$ $mA$. During ... increased by $1$% over the nominal value, the output voltage $V_0$ in $mV$ is $56.02$ $40.83$ $29.85$ $10.02$
asked
Feb 12, 2017
in
Electrical Circuits
by
piyag476
(
1.5k
points)
gate2013ee
bridgecircuit
variableresistor
0
votes
1
answer
11
GATE2018GA2
“A common misconception among writers is that sentence structure mirrors thought; the more _________ the structure, the more complicated the ideas.” The word that best fills the blank in the above sentence is detailed simple clear convoluted
asked
Feb 19, 2018
in
Verbal Ability
by
Arjun
(
5.4k
points)
gate2018ee
generalaptitude
verbalability
mostappropriateword
0
votes
0
answers
12
GATE2014311
In a synchronous machine, hunting is predominantly damped by mechanical losses in the rotor iron losses in the rotor copper losses in the stator copper losses in the rotor
asked
Feb 12, 2017
in
Electrical Machines
by
makhdoom ghaya
(
9.2k
points)
gate2014ee3
damperwinding
corelosses
0
votes
0
answers
13
GATE2018GA3
The three roots of the equation $f(x) = 0$ are $x = {−2, 0, 3}.$ What are the three values of $ x $ for which $f(x − 3) = 0?$ $−5 , −3 , 0 $ $−2 , 0 , 3$ $0 , 6 , 8$ $1 , 3 , 6$
asked
Feb 19, 2018
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2018ee
generalaptitude
numericalability
quadraticequation
functions
0
votes
0
answers
14
GATE2017240
A person decides to toss a fair coin repeatedly until he gets a head. He will make at most $3$ tosses. Let the random variable $Y$ denote the number of heads. The value of var{Y}, where var{.} denotes the variance, equals $\frac{7}{8}$ $\frac{49}{64}$ $\frac{7}{64}$ $\frac{105}{64}$
asked
Feb 27, 2017
in
new
by
Arjun
(
5.4k
points)
gate2017ee2
0
votes
0
answers
15
GATE2014216
Shunt reactors are sometimes used in high voltage transmission systems to limit the short circuit current through the line. compensate for the series reactance of the line under heavily loaded condition. limit overvoltages at the load side under lightly loaded condition. compensate for the voltage drop in the line under heavily loaded condition.
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee2
transmission
system
seriesreactors
0
votes
0
answers
16
GATE2014110
For a periodic square wave, which one of the following statements is TRUE? (A) The Fourier series coefficients do not exist. (B) The Fourier series coefficients exist but the reconstruction converges at no point. (C) The Fourier series ... and the reconstruction converges at most points. (D) The Fourier series coefficients exist and the reconstruction converges at every point.
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee1
squarewave
periodicfunction
fourier
series
coefficients
0
votes
0
answers
17
GATE2014117
In the formation of RouthHurwitz array for a polynomial, all the elements of a row have zero values. This premature termination of the array indicates the presence of only one root at the origin Imaginary roots only positive real roots only negative real roots
asked
Feb 12, 2017
in
Differential Equations
by
makhdoom ghaya
(
9.2k
points)
gate2014ee1
routhhurwitz
array
polynomial
0
votes
1
answer
18
GATE2018GA9
A designer uses marbles of four different colours for his designs. The cost of each marble is the same, irrespective of the colour. The table below shows the percentage of marbles of each colour used in the current design. The cost of each marble increased by 25%. Therefore, the designer ... $35.75$ $40.25$ $43.75$ $46.25$
asked
Feb 19, 2018
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2018ee
generalaptitude
numericalability
percentage
0
votes
1
answer
19
GATE2018GA4
For what values of $k$ given below is $\dfrac{(k + 2)^2}{(k  3)}$ an integer? $4 , 8 , 18 $ $4 , 10 , 16$ $ 4 , 8 , 28 $ $8 , 26 , 28$
asked
Feb 19, 2018
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2018ee
generalaptitude
numericalability
algebra
0
votes
0
answers
20
GATE2015252
The following discretetime equations result from the numerical integration of the differential equations of an undamped simple harmonic oscillator with state variables $x$ and $y$. The integration time step is $h$. $\frac{x_{k+1}x_{k}}{h}=y_{k}$ ... stable for $0 < h <\frac{1}{2\pi}$ The system is stable for $\frac{1}{2\pi}<h<\frac{1}{\pi}$
asked
Feb 12, 2017
in
new
by
makhdoom ghaya
(
9.2k
points)
gate2015ee2
0
votes
0
answers
21
GATE2016126
Candidates were asked to come to an interview with $3$ pens each. Black, blue, green and red were the permitted pen colours that the candidate could bring. The probability that a candidate comes with all $3$ pens having the same colour is _________.
asked
Jan 30, 2017
in
Probability & Statistics
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
randomvariable
event
mean
0
votes
0
answers
22
GATE20138
A singlephase load is supplied by a singlephase voltage source.If the current flowing from the load to the source is $10\angle 150^0$ $A$ and if the voltage at the load terminals is $100\angle 60^0$ $V$,then the Load absorbs ... Load absorbs real power and absorbs reactive power. Load delivers real power and delivers reactive power. Load delivers real power and absorbs reactive power.
asked
Feb 12, 2017
in
Power Systems
by
piyag476
(
1.5k
points)
gate2013ee
reactivepower
realpower
0
votes
1
answer
23
GATE201421
Which one of the following statements is true for all real symmetric matrices? All the eigenvalues are real. All the eigenvalues are positive. All the eigenvalues are distinct. Sum of all the eigenvalues is zero.
asked
Feb 12, 2017
in
Linear Algebra
by
makhdoom ghaya
(
9.2k
points)
gate2014ee2
eigenvalues
eigenmatrix
0
votes
0
answers
24
GATE2017214
A $3$phase, $4$pole, $400$V, $50$Hz squirrelcage induction motor is operating at a slip of $0.02$. The speed of the rotor flux in mechanical rad/sec, sensed by a stationary observer, is closest to $1500$ $1470$ $157$ $154$
asked
Feb 27, 2017
in
new
by
Arjun
(
5.4k
points)
gate2017ee2
0
votes
1
answer
25
GATE2018GA5
Functions $F(a,b)$ and $G(a,b)$ are defined as follows: $F(a,b)=(ab)^{2}$ and $G(a,b)=\mid ab\mid ,$ where $\mid x\mid$ represents the absolute value of $x.$ What would be the value of $G(F(1,3),G(1,3))?$ $2$ $4$ $6$ $36$
asked
Feb 19, 2018
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2018ee
generalaptitude
numericalability
functions
0
votes
0
answers
26
GATE2014244
A system with the open loop transfer function $G(s)=\frac{K}{s(s+2)(s^2+2s+2)}$ is connected in a negative feedback configuration with a feedback gain of unity. For the closed loop system to be marginally stable, the value of $K$ is ______
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee2
negativefeedback
marginallystable
0
votes
0
answers
27
GATE2014327
The mean thickness and variance of silicon steel laminations are $0.2 mm$ and $0.02$ respectively. The varnish insulation is applied on both the sides of the laminations. The mean thickness of one side insulation and its variance are$0.1 mm$ and $0.01$ respectively. If the transformer core is made ... are $30 mm$ and $0.22$ $30 mm$ and $2.44$ $40$ mm and $2.44$ $40 mm$ and $0.24$
asked
Feb 12, 2017
in
Electrical Machines
by
makhdoom ghaya
(
9.2k
points)
gate2014ee3
insulation
core
0
votes
0
answers
28
GATE2014237
A threephase slipring induction motor, provided with a commutator winding, is shown in the figure. The motor rotates in clockwise direction when the rotor windings are closed. If the rotor winding is open circuited and the system is made to run at rotational speed fr with the help of primemover in anti ... $f$ $f_r$ and $f$ $f$  $f_r$ and $f$+$f_r$ $f$ + $f_r$ and $f$$f_r$
asked
Feb 12, 2017
in
Electrical Machines
by
makhdoom ghaya
(
9.2k
points)
gate2014ee2
primemover
sliprings
commutator
+1
vote
0
answers
29
GATE2014321
A state diagram of a logic gate which exhibits a delay in the output is shown in the figure, where $X$ is the don’t care condition, and $Q$ is the output representing the state. The logic gate represented by the state diagram is $XOR$ $OR$ $AND$ $NAND$
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee3
delayfunction
latches
0
votes
1
answer
30
GATE201428
A parallel plate capacitor consisting two dielectric materials is shown in the figure. The middle dielectric slab is placed symmetrically with respect to the plates. If the potential difference between one of the plates and the nearest surface of dielectric interface is $2$ $Volts$, then the ratio $ε_1$ : $ε_2$ is $1:4$ $2:3$ $3:2$ $4:1$
asked
Feb 12, 2017
in
Electromagnetic Fields
by
makhdoom ghaya
(
9.2k
points)
gate2014ee2
dielectric
potentialdifference
0
votes
0
answers
31
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
(
9.2k
points)
gate2015ee1
events
population
0
votes
0
answers
32
GATE2016121
Consider a system consisting of a synchronous generator working at a lagging power factor, a synchronous motor working at an overexcited condition and a directly gridconnected induction generator. Consider capacitive $VAr$ ... is a source and induction generator and synchronous generator are sinks of reactive power. All are sources of reactive power.
asked
Jan 30, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
unitypowerfactor
sourceofreactivepower
load
0
votes
1
answer
33
GATE2018GA10
$P, Q, R,$ and $S$ crossed a lake in a boat that can hold a maximum of two persons, with only one set of oars. The following additional facts are available. The boat held two persons on each of the three forward trips across the lake and one person on each of the two ... $P$ $Q$ $R$ $S$
asked
Feb 19, 2018
in
Verbal Ability
by
Arjun
(
5.4k
points)
gate2018ee
generalaptitude
verbalability
verbalreasoning
0
votes
0
answers
34
GATE2016125
If an ideal transformer has an inductive load element at port $2$ as shown in the figure below, the equivalent inductance at port $1$ is $nL$ $n^{2}L$ $\frac{n}{L}$ $\frac{n^{2}}{L}$
asked
Jan 30, 2017
in
Electrical Machines
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
turnratio
inductiveload
coil
0
votes
0
answers
35
GATE2018GA6
An email password must contain three characters. The password has to contain one numeral from $0$ to $9,$ one upper case and one lower case character from the English alphabet. How many distinct passwords are possible$?$ $6,760$ $13,520$ $40,560$ $1,05,456$
asked
Feb 19, 2018
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2018ee
generalaptitude
numericalability
permutationandcombination
counting
0
votes
0
answers
36
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
(
9.2k
points)
gate2015ee1
network
nodalanalysis
0
votes
0
answers
37
GATE20184
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
0
votes
0
answers
38
GATE201343
The following arrangement consists of an ideal transformer and an attenuator which attenuates by a factor of $0.8$. An ac voltage $V_{WX1}=100V$ is applied across $WX$ to get an open circuit voltage $Y_{YZ1} $ across $YZ$. Next, an ac voltage$V_{YZ2}=100V$ ... respectively, $125/100$ and $80/100$ $100/100$ and $80/100$ $100/100$ and $100/100$ $80/100$ and $80/100$
asked
Feb 12, 2017
in
Electrical Machines
by
piyag476
(
1.5k
points)
gate2013ee
turnratio
primary
secondary
0
votes
0
answers
39
GATE2014353
A threephase fully controlled bridge converter is fed through stardelta transformer as shown in the figure. The converter is operated at a firing angle of $300$. Assuming the load current ($I_0)$ to be virtually constant at $1$ $p.u$. and transformer to be an ideal one, the input phase current waveform is
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee3
starconnection
deltaconnection
0
votes
0
answers
40
GATE2017249
For the synchronous sequential circuit shown below, the output $Z$ is zero for the initial conditions $Q_{A}, Q_{B}, Q_{C}= Q'_{A}, Q'_{B}, Q'_{C}=100$ The minimum number of clock cycles after which the output $Z$ would again become zero is _________.
asked
Feb 27, 2017
in
new
by
Arjun
(
5.4k
points)
gate2017ee2
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