Recent questions tagged gate2017-ee-2

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GATE Electrical 2017 Set 2 | GA Question: 9
The number of roots of $e^{x}+0.5x^{2}-2=0$ in the range $[-5, 5]$ is $0$ $1$ $2$ $3$

Arjun asked in Quantitative Aptitude Feb 27, 2017

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GATE Electrical 2017 Set 2 | GA Question: 8
$X$ is a $30$ digit number starting with the digit $4$ followed by the digit $7$. Then the number $X^{3}$ will have $90$ digits $91$ digits $92$ digits $93$ digits

Arjun asked in Quantitative Aptitude Feb 27, 2017

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GATE Electrical 2017 Set 2 | GA Question: 7
There are three boxes. One contains apples, another contains oranges and the last one contains both apples and oranges. All three are known to be incorrectly labelled. If you are permitted to open just one box and then pull out and ... The box labelled 'Apples'. The box labelled 'Apples and Oranges'. The box labelled 'Oranges'. Cannot be determined.

Arjun asked in Analytical Aptitude Feb 27, 2017

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GATE Electrical 2017 Set 2 | GA Question: 6
"We lived in a culture that denied any merit to literary works, considering them important only when they were handmaidens to something seemingly more urgent- namely ideology. This was a country where all gestures, even the most private ... ideology is not as important as literature is revealed by the word: 'culture' 'seemingly' 'urgent' 'political'

Arjun asked in Verbal Aptitude Feb 27, 2017

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5

GATE Electrical 2017 Set 2 | GA Question: 5
There are $3$ red socks, $4$ green socks and $3$ blue socks. You choose $2$ socks. The probability that they are of the same colour is $1/5$ $7/30$ $1/4$ $4/15$

Arjun asked in Quantitative Aptitude Feb 27, 2017

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6

GATE Electrical 2017 Set 2 | GA Question: 4
A test has twenty questions worth $100$ marks in total. There are two types of questions. Multiple choice questions are worth $3$ marks each and essay questions are worth $11$ marks each. How many multiple choice questions does the exam have? $12$ $15$ $18$ $19$

Arjun asked in Quantitative Aptitude Feb 27, 2017

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7

GATE Electrical 2017 Set 2 | GA Question: 3
There are five buildings called $V, W, X, Y$ and $Z$ in a row (not necessarily in that order). $V$ is to the West of $W . Z$ is to the East of $X$ and the West of $V$. $W$ is to the West of $Y$. Which is the building in the middle? $V$ $W$ $X$ $Y$

Arjun asked in Analytical Aptitude Feb 27, 2017

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GATE Electrical 2017 Set 2 | GA Question: 2
Saturn is _______ to be seen on a clear night with the naked eye. Enough bright Bright enough As enough bright Bright as enough

Arjun asked in Verbal Aptitude Feb 27, 2017

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9

GATE Electrical 2017 Set 2 | GA Question: 10
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 ... over a region, which of the following regions is most likely to have a thunderstorm? $P$ $Q$ $R$ $S$

Arjun asked in Quantitative Aptitude Feb 27, 2017

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10

GATE Electrical 2017 Set 2 | GA Question: 1
Choose the option with words that are not synonyms. Aversion, dislike. Luminous, radiant. Plunder, loot Yielding, resistant.

Arjun asked in Verbal Aptitude Feb 27, 2017

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11

GATE Electrical 2017 Set 2 | Question: 49
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 _________.

Arjun asked in Analog and Digital Electronics Feb 27, 2017

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12

GATE Electrical 2017 Set 2 | Question: 55
A thin soap bubble of radius $R=1$ cm, and thickness $a=3.3 \mu m (a << R)$, is at a potential of $1$ V with respect to a reference point at infinity. The bubble bursts and becomes a single spherical drop ... resulting single spherical drop with respect to the same reference point at infinity is _________. (Give the answer up to two decimal places.)

Arjun asked in new Feb 27, 2017

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13

GATE Electrical 2017 Set 2 | Question: 54
A $3$-phase, $2$-pole, $50$Hz, synchronous generator has a rating of $250$ MVA, $0.8$ pf lagging. The kinetic energy of the machine at synchronous speed is $1000$MJ. The machine is running steadily at synchronous speed ... assuming the acceleration is constant for $10$ cycles, the value of the power angle after $5$ cycles is __________ electrical degrees.

Arjun asked in new Feb 27, 2017

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14

GATE Electrical 2017 Set 2 | Question: 53
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.

Arjun asked in new Feb 27, 2017

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15

GATE Electrical 2017 Set 2 | Question: 52
A $3$-phase, $50$Hz generator supplies power of $3$MW at $17.32$kV to a balanced $3$-phase inductive load through an overhead line. The per phase line resistance and reactance are $0.25 \Omega$ and $3.925 \Omega$ respectively. If the voltage at the generator terminal is $17.87$kV, the power factor of the load is ________.

Arjun asked in new Feb 27, 2017

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16

GATE Electrical 2017 Set 2 | Question: 51
Consider an overhead transmission line with $3$-phase, $50$ Hz balanced system with conductors located at the vertices of an equilateral triangle of length $D_{ab}=D_{bc}=D_{ca}=1m$ as shown in figure below. The resistance of the ... of ground, the magnitude of positive sequence reactance in $\Omega/km$ (rounded off to three decimal places) is _________.

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17

GATE Electrical 2017 Set 2 | Question: 50
In the circuit shown all elements are ideal and the switch $S$ is operated at $10$kHz and $60 \%$ duty ratio. The capacitor is large enough so that the ripple across it is negligible and at steady state acquires a voltage as shown. The peak current in amperes drawn from the $50$ V DC source is _______.(Give the answer up to one decimal place.)

Arjun asked in new Feb 27, 2017

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18

GATE Electrical 2017 Set 2 | Question: 48
In the circuit shown in the figure, the diode used is ideal. The input power factor is ________. (Give the answer up to two decimal places).

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19

GATE Electrical 2017 Set 2 | Question: 47
A $10 \frac{1}{2}$ digit timer counter possesses a base clock of frequency $100$ MHz. When measuring a particular input, the reading obtained is the same in: Frequency mode of operation with a gating time of one second and Period mode of operation (in the $\times 10$ns scale). The frequency of the unknown input (reading obtained) in Hz is _______.

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20

GATE Electrical 2017 Set 2 | Question: 46
Consider the system described by the following state space representation ... $y(t)$ at $t=1$ sec (rounded off to three decimal places) is ___________.

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21

GATE Electrical 2017 Set 2 | Question: 45
If the primary line voltage rating is $3.3$kV (Y side) of a $25$kVA, $Y-\Delta$ transformer (the per phase turns ratio is $5:1$), then the line current rating of the secondary side (in Ampere) is _______.

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22

GATE Electrical 2017 Set 2 | Question: 44
A $25$ kVA, $400$ V, $\Delta$-connected, $3$-phase, cylindrical rotor synchronous generator requires a field current of $5$ A to maintain the rated armature current under short-circuit condition. For the same field current, the open ... terminal voltage), when the generator delivers the rated load at $0.8$ pf leading, at rated terminal voltage is _________.

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23

GATE Electrical 2017 Set 2 | Question: 40
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 $\text{var} \{Y\}$, where $\text{var} \{ \cdot \}$ denotes the variance, equals $\frac{7}{8} \\$ $\frac{49}{64} \\$ $\frac{7}{64} \\$ $\frac{105}{64}$

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24

GATE Electrical 2017 Set 2 | Question: 43
A star-connected, $12.5$kW, $208$ V (line), $3$-phase, $60$ ... starting current (in Ampere) for this motor when connected to an $80$ V (line), $20$ Hz, $3$-phase AC source is _________.

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25

GATE Electrical 2017 Set 2 | Question: 42
A $120$ V DC shunt motor takes $2$A at no load. It takes $7$A on full load while running at $1200$ rpm. The armature resistance is $0.8 \Omega$, and the shunt field resistance is $240 \Omega$. The no load speed, in rpm, is _________.

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26

GATE Electrical 2017 Set 2 | Question: 36
Which of the following systems has maximum peak overshoot due to a unit step input? $\frac{100}{s^{2}+10s+100} \\$ $\frac{100}{s^{2}+15s+100} \\ $ $\frac{100}{s^{2}+5s+100} \\$ $\frac{100}{s^{2}+20s+100}$

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27

GATE Electrical 2017 Set 2 | Question: 35
The range of $K$ for which all the roots of the equation $s^{3}+3s^{2}+2s+K=0$ are in the left half of the complex $s$-plane is $0 < K < 6$ $0 < K < 16$ $6 < K < 36$ $6 < K < 16$

Arjun asked in new Feb 27, 2017

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28

GATE Electrical 2017 Set 2 | Question: 33
A $220$ V, $10$ kW, $900$ rpm separately excited $DC$ motor has an armature resistance $R_{a}=0.02 \Omega$. When the motor operates at rated speed and with rated terminal voltage, the electromagnetic torque developed by the motor is $70$Nm. Neglecting the ... the current drawn by the motor from the $220$V supply is $34.2$ A $30$ A $22$ A $4.84$ A

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29

GATE Electrical 2017 Set 2 | Question: 32
A cascade system having the impulse responses $h_{1}(n)= \{ \underset{\uparrow}{1}-1 \}$ and $h_{2}(n)= \{ \underset{\uparrow}{1}-1, 1 \}$ is shown in the figure below, where symbol $\uparrow$ denotes the time origin. The input sequence $x(n)$ for which the ... $x(n)= \{\underset{\uparrow}{1}-1, 2, 2, 1 \}$

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30

GATE Electrical 2017 Set 2 | Question: 41
For the network given in the figure below, the Thevenin's voltage $V_{ab}$ is $-1.5$V $-0.5$V $0.5$V $1.5$V

Arjun asked in Others Feb 27, 2017

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31

GATE Electrical 2017 Set 2 | Question: 39
The figure below shows a half-bridge voltage source inverter supplying an RL-load with $R=40 \Omega$ and $L=(\frac{0.3}{\pi})H$. The desired fundamental frequency of the load voltage is $50$Hz. The switch control signals of the converter are generated using ... $DC$ source voltage $V_{DC}$ in volts is. $300\sqrt{2}$ $500$ $500\sqrt{2}$ $1000\sqrt{2}$

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32

GATE Electrical 2017 Set 2 | Question: 38
For the circuit shown below, assume that the $OPAMP$ is ideal. Which one of the following is TRUE? $v_{0}=v_{s}$ $v_{0}=1.5 v_{s}$ $v_{0}=2.5 v_{s}$ $v_{0}=5 v_{s}$

Arjun asked in new Feb 27, 2017

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33

GATE Electrical 2017 Set 2 | Question: 37
For the circuit shown in the figure below, it is given that $V_{CE}=\frac{V_{CC}}{2}$. The transistor has $\beta=29$ and $V_{BE}=0.7 V$ when the $B-E$ junction is forward biased. For this circuit, the value of $\frac{R_{B}}{R}$ is $43$ $92$ $121$ $129$

Arjun asked in Others Feb 27, 2017

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34

GATE Electrical 2017 Set 2 | Question: 34
The root locus of the feedback control system having the characteristic equation $s^{2}+6Ks+2s+5=0$ where $K>0$, enters into the real axis at. $s=-1$ $s=-\sqrt{5}$ $s=-5$ $s=\sqrt{5}$

Arjun asked in Others Feb 27, 2017

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35

GATE Electrical 2017 Set 2 | Question: 28
The eigenvalues of the matrix given below are $\begin{bmatrix} 0 & 1 & 0\\ 0 & 0 & 1\\ 0 & -3 & -4 \end{bmatrix}$ $(0, -1, -3)$ $(0, -2, -3)$ $(0, 2, 3)$ $(0, 1, 3)$

Arjun asked in Linear Algebra Feb 27, 2017

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36

GATE Electrical 2017 Set 2 | Question: 27
The value of the contour integral in the complex plane $\oint \frac{z^{3}-2z+3}{z-2} dz$ along the contour $\mid z \mid =3$, taken counter- clockwise is $-18 \pi i$ $0$ $14 \pi i$ $48 \pi i$

Arjun asked in Calculus Feb 27, 2017

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37

GATE Electrical 2017 Set 2 | Question: 26
Let $ g(x)= \begin{cases} -x & \ x \leq 1 \\ x+1 & \ x \geq 1 \end{cases}$ and $ f(x)= \begin{cases} 1-x & \ x \leq 0 \\ x^{2} & \ x > 0 \end{cases}$. Consider the composition of $f$ and $g$ ... $(f {\circ} g) (x)$ present in the interval $(-\infty, 0)$ is: $0$ $1$ $2$ $4$

Arjun asked in Calculus Feb 27, 2017

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38

GATE Electrical 2017 Set 2 | Question: 25
In a load flow problem solved by Newton-Raphson method with polar coordinates, the size of the Jacobian is $100 \times 100$. If there are $20$PV buses in addition to $PQ$ buses and a slack bus, the total number of buses in the system is ______.

Arjun asked in Numerical Methods Feb 27, 2017

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39

GATE Electrical 2017 Set 2 | Question: 22
The initial charge in the $1$ F capacitor present in the circuit shown is zero. The energy in joules transferred from the $DC$ source until steady state condition is reached equals _________. (Give the answer up to one decimal place.)

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40

GATE Electrical 2017 Set 2 | Question: 24
The nominal- $\pi$ circuit of a transmission line is shown in the figure. Impedance $Z=100 \angle 80^{\circ} \Omega$ and reactance $X=3300 \Omega$. The magnitude of the characteristic impedance of the transmission line, in $\Omega$, is __________. (Give the answer up to one decimal place.)

Arjun asked in new Feb 27, 2017

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