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Previous GATE
0
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1
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
(
9.2k
points)
gate2016ee1
multiplicity
degreeofpolynomial
numericalanswers
0
votes
0
answers
2
GATE2015234
For linear time invariant systems, that are Bounded Input Bounded Output stable, which one of the following statements is TRUE? The impulse response will be integrable, but may not be absolutely integrable. The unit impulse response will have finite support. The unit step response will be absolutely integrable. The unit step response will be bounded
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.2k
points)
gate2015ee2
impulseresponse
unitstepresponse
0
votes
0
answers
3
GATE2019 EE: GA3
The missing number in the given sequence $343,1331,$_____$,4913$ is $3375$ $2744$ $2197$ $4096$
asked
Feb 12
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
numericalability
sequenceseries
0
votes
0
answers
4
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
5
GATE201844
Let $A= \begin{bmatrix} 1 & 0 & 1 \\ 1 & 2 & 0 \\ 0 & 0 & 2 \end{bmatrix}$ and $B=A^3A^24A+5I$, where $I$ is the $3 \times 3$ identify matrix. The determinant of $B$ is _______ (up to $1$ decimal place).
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
0
votes
0
answers
6
GATE2014318
A singleinput singleoutput feedback system has forward transfer function $G(s)$ and feedback transfer function $H(s)$. It is given that $G(s)H(s)< 1$ . Which of the following is true about the stability of the system? The system is always stable The ... are in left half of the splane It is not possible to say whether or not the system is stable from the information given
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee3
transferfunction
feedbacksystem
0
votes
0
answers
7
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
(
9.2k
points)
gate2014ee1
probability
coins
0
votes
0
answers
8
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
9
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 12
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
numericalability
worktime
0
votes
0
answers
10
GATE2017144
The magnitude of magnetic flux density (B) in micro Teslas $(\mu T)$, at the centre of a loop of wire wound as a regular hexagon of side length $1 m$ carrying a current $(I=1 A)$, and placed in vacuum as shown in the figure is _________. (Give the answer up to two decimal places.)
asked
Feb 27, 2017
in
new
by
Arjun
(
5.4k
points)
gate2017ee1
numericalanswers
0
votes
0
answers
11
GATE2019 EE: 28
A periodic function $f(t)$, with a period of $2 \pi$, is represented as its Fourier series, $f(t) = a_0 + \sum_{n=1}^{\infty }a_n \cos nt + \sum_{n=1}^{\infty} b_n \sin nt.$ ... $a_1 = \frac{A}{2}; \: b_1 = 0$ $a_1 = 0; \: b_1 = \frac{A}{\pi}$ $a_1 = 0;b_1 = \frac{A}{2}$
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
12
GATE2019 EE: 49
A threephase $50$ Hz, $400$ kV transmission line is $300$ km long. The line inductance is $1$ mH/km per phase, and the capacitance is $0.01 \: \mu F/km$ per phase. The line is under open circuit condition at the receiving end and energized with $400$ kV at the sending end, the receiving end line voltage in kV (round off to two decimal places) will be _________
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
numericalanswers
0
votes
0
answers
13
GATE201260
Which one of the following options is the closest in meaning to the word given below? $\textbf{Latitude}$ Eligibility Freedom Coercion Meticulousness
asked
Mar 24, 2018
in
Verbal Ability
by
Andrijana3306
(
1.4k
points)
gate2012ee
0
votes
0
answers
14
GATE201810
A positive charge of $1$ nC is placed at $(0,0,0.2)$ where all dimensions are in meters. Consider the $xy$ plane to be a conducting ground plane. Take $\epsilon_0 = 8.85 \times 10^{12}$ F/m. The $Z$ component of the E field at $(0,0,0.1)$ is closest to $899.18$ V/m $899.18$ V/m $999.09$ V/m $999.09$ V/m
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
0
votes
1
answer
15
GATE20142GA6
The old city of Koenigsberg, which had a German majority population before World War $2$, is now called Kaliningrad. After the events of the war, Kaliningrad is now a Russian territory and has a predominantly Russian population. It is bordered by the ... Kaliningrad, as that was its original Russian name Poland and Lithuania are on the route from Kaliningrad to the rest of Russia
asked
Feb 12, 2017
in
Probability & Statistics
by
makhdoom ghaya
(
9.2k
points)
gate2014ee2
stats
infer
0
votes
0
answers
16
GATE201853
A dc to dc converter shown in the figure is charging a battery bank, $B2$ whose voltage is constant at $150 \: V$. $B1$ is another battery bank whose voltage is constant at $50 \: V$. The value of the inductor, $L$ is $5$ ... state and assuming the diode D to be ideal, the power transferred from $B1$ to $B2$ (in Watt) is ___________ (up to $2$ decimal places)
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
0
votes
0
answers
17
GATE2014115
Threephase to ground fault takes place at locations $F_1$ and $F_2$ in the system shown in the figure If the fault takes place at location $F_1$, then the voltage and the current at bus $A$ are $V_{F1}$ and $I_{F1}$ respectively. If the fault takes place at location $F_2$, then the ... $I_{F1}$ and $V_{F2}$ leads $I_{F2}$ $V_{F1}$ lags $I_{F1}$ and $V_{F2}$ lags $I_{F2}$
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee1
singlelinediagram
powerfactor
0
votes
0
answers
18
GATE2014119
Power consumed by a balanced $3$phase, $3$wire load is measured by the two wattmeter method. The first wattmeter reads twice that of the second. Then the load impedance angle in radians is $\pi /12$ $\pi /8$ $\pi /6$ $\pi /3$
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee1
balancedsystem
load
impedance
0
votes
0
answers
19
GATE2015216
The synchronous generator shown in the figure is supplying active power to an infinite bus via two short, lossless transmission lines, and is initially in steady state. The mechanical power input to the generator and the voltage magnitude $E$ are constant. If one ... transient. Which one of the following waveforms of the rotor angle $\delta$ shows the transient correctly?
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2015ee2
powersystemprotection
sourceofreactivepower
0
votes
0
answers
20
GATE201846
The unit step response $y(t)$ of a unity feedback system with open loop transfer function $G(s)H(s)= \frac{K}{(s+1)^2(s+2)}$ is shown in the figure. The value of $K$ is ___________ (up to $2$ decimal places).
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
0
votes
0
answers
21
GATE2017137
The logical gate implemented using the circuit shown below where $V_{1}$ and $V_{2}$ are inputs (with $0$V as digital $0$ and $5$V as digital $1$) and $V_{out}$ is the output, is NOT NOR NAND XOR
asked
Feb 27, 2017
in
new
by
Arjun
(
5.4k
points)
gate2017ee1
0
votes
0
answers
22
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
(
9.2k
points)
gate2015ee1
powerplants
powergeneration
0
votes
0
answers
23
GATE2016114
A softiron toroid is concentric with a long straight conductor carrying a direct current $I$. If the relative permeability $\mu_{r}$ of softiron is $100$, the ratio of the magnetic flux densities at two adjacent points located just inside and just outside the toroid, is ________.
asked
Jan 30, 2017
in
Electromagnetic Fields
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
currentcarryingconductor
electromagnetism
faradayslaw
numericalanswers
0
votes
0
answers
24
GATE2019 EE: GA6
How many integers are there between $100$ and $1000$ all of whose digits are even? $60$ $80$ $100$ $90$
asked
Feb 12
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
numericalability
arithmeticseries
0
votes
0
answers
25
GATE2019 EE: 21
The $Y_{\text{bus}}$ matrix of a twobus power system having two identical parallel lines connected between them in pu is given as $Y_{\text{bus}} = \begin{bmatrix} j8 & j20 \\ j20& j8 \end{bmatrix}$The magnitude of the series reactance of each line in pu (round off upto one decimal place) is__________.
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
numericalanswers
0
votes
0
answers
26
GATE201855
The voltage $v(t)$ across the terminals $a$ and $b$ as shown in the figure, is a sinusoidal voltage having a frequency $\omega = 100 \text{ radian/s}$. When the inductor current $i(t)$ is in phase with the voltage $v(t)$, the magnitude of the impedance $Z$ (in $\Omega$) seen between the terminals $a$ and $b$ is __________ (up to $2$ decimal places)
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
0
votes
0
answers
27
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
0
votes
0
answers
28
GATE201843
Let $f(x) = 3x^37x^2+5x+6$. The maximum value of $f(x)$ over the interval $[0,2]$ is ________ (up to one decimal place).
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
0
votes
0
answers
29
GATE201833
Consider a system governed by the following equations $ \frac{dx_1(t)}{dt} = x_2(t)x_1(t) \\ \frac{dx_2(t)}{dt} = x_1(t)x_2(t)$ The initial conditions are such that $x_1(0)<x_2(0)< \infty$. Let $x_{1f}= \underset{t \to \infty}{\lim} x_1(t)$ ... is true? $x_{1f}<x_{2f}<\infty$ $x_{2f}<x_{1f}<\infty$ $x_{1f}<=_{2f}<\infty$ $x_{1f}=x_{2f}=\infty$
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
0
votes
0
answers
30
GATE201819
In the twoport nework shown, the $h_{11}$ parameter $\bigg($ where, $h_{11} = \frac{V_1}{I_1}$, when $V_2=0 \bigg)$ in ohms is _________ (up to $2$ decimal places).
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
0
votes
0
answers
31
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
32
GATE2019 EE: GA9
Given two sets $X=\{1,2,3\}$ and $Y=\{2,3,4\},$ we construct a set $Z$ of all possible fractions where the numerators belong to set $X$ and the denominators belong to set $Y.$ The product of elements having minimum and maximum values in the set $Z$ is _____. $1/12$ $1/8$ $1/6$ $3/8$
asked
Feb 12
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2019ee
generalaptitude
numericalability
sets
0
votes
1
answer
33
GATE2019 EE: 2
$M$ is $2 \times 2$ matrix with eigenvalues $4$ and $9.$ The eigenvalues of $M^{2}$ are $4$ and $9$ $2$ and $3$ $2$ and $3$ $16$ and $81$
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
34
GATE2019 EE: 10
The parameter of an equivalent circuit of a threephase induction motor affected by reducing the rms value of the supply voltage at the rated frequency is rotor resistance rotor leakage reactance magnetizing reactance stator resistance
asked
Feb 12
in
new
by
Arjun
(
5.4k
points)
gate2019ee
0
votes
0
answers
35
GATE201824
A separately excited dc motor has an armature resistance $R_a =0.05 \: \Omega$. The field excitation is kept constant. At an armature voltage of $100$ V, the motor produces a torque of $500$ Nm at zero speed. Neglecting all mechanical losses, the noload speed of the motor (in $\text{radian /s}$) for an armature voltage of $150$ V is ____________ (up to $2$ decimal places).
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
0
votes
0
answers
36
GATE201826
A transformer with toroidal core of permeability $\mu$ is shown in the figure. Assuming uniform flux density across the circular core crosssection of radius $r < < R$, and neglecting any leakage flux, the best estimate for the mean radius $R$ is $\frac{\mu V r^2 N_P^2 \omega}{I} \\ $ ... $\frac{\mu V r^2 N_P^2 \omega}{2I} \\ $ $\frac{\mu I r^2 N_P^2 \omega}{2V} $
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
0
votes
0
answers
37
GATE201831
A DC voltage source is connected to a series $LC$ circuit by turning on the switch S at time $t=0$ as shown in the figure. Assume $i(0)=0$, $v(0)=0$. Which one of the following circular loci represents the plot of $i(t)$ versus $v(t)$?
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
0
votes
0
answers
38
GATE201813
The value of the integral $\oint _c \frac{z+1}{z^24} dz$ in counter clockwise direction around a circle $C$ of radius $1$ with center at the point $z=2$ is $\frac{\pi i}{2} \\ $ $2 \pi i\\$ $ – \frac{\pi i}{2}\\$ $2 \pi i$
asked
Feb 19, 2018
in
new
by
Arjun
(
5.4k
points)
gate2018ee
0
votes
0
answers
39
GATE2014217
The closed loop transfer function of a system is $T(s)=\frac{4}{s^2+0.4S+4}$ The steady state error due to unit step input is __________.
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee2
unitstepfunction
closedloopsystem
numericalanswers
0
votes
0
answers
40
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
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