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1
GATE20172GA7
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 inspect only one fruit, ... boxes? The box labelled 'Apples'. The box labelled 'Apples and Oranges'. The box labelled 'Oranges'. Cannot be determined.
asked
Feb 27, 2017
in
Verbal Ability
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Arjun
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5.4k
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gate2017ee2
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0
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2
GATE20172GA8
$X$ 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
asked
Feb 27, 2017
in
Numerical Ability
by
Arjun
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5.4k
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gate2017ee2
0
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0
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3
GATE20172GA9
The number of roots of $e^{x}+0.5x^{2}2=0$ in the range $[5, 5]$ is $0$ $1$ $2$ $3$
asked
Feb 27, 2017
in
Numerical Ability
by
Arjun
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5.4k
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gate2017ee2
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4
GATE20172GA10
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 thunderstorm is given ... drops over a region, which of the following regions is most likely to have a thunderstorm? $P$ $Q$ $R$ $S$
asked
Feb 27, 2017
in
Numerical Ability
by
Arjun
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5.4k
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gate2017ee2
0
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5
GATE2017244
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 shortcircuit condition. For the same field current, the opencircuit voltage is ... to terminal voltage), when the generator delivers the rated load at $0.8$ pf leading, at rated terminal voltage is _________.
asked
Feb 27, 2017
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Arjun
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5.4k
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gate2017ee2
numericalanswers
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6
GATE2017245
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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Feb 27, 2017
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Arjun
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5.4k
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gate2017ee2
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7
GATE2017246
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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Feb 27, 2017
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Arjun
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5.4k
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gate2017ee2
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8
GATE2017247
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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Feb 27, 2017
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Arjun
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5.4k
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gate2017ee2
numericalanswers
0
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9
GATE2017248
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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Feb 27, 2017
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Arjun
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5.4k
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gate2017ee2
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10
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
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Arjun
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5.4k
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gate2017ee2
numericalanswers
0
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11
GATE2017250
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.)
asked
Feb 27, 2017
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Arjun
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5.4k
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gate2017ee2
numericalanswers
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12
GATE2017251
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 conductors are ... the effect of ground, the magnitude of positive sequence reactance in $\Omega/km$ (rounded off to three decimal places) is _________.
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Feb 27, 2017
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Arjun
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gate2017ee2
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13
GATE2017252
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 ________.
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Feb 27, 2017
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Arjun
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5.4k
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gate2017ee2
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14
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
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gate2017ee2
numericalanswers
0
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0
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15
GATE2017254
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 and delivering $60$ ... removed, assuming the acceleration is constant for $10$ cycles, the value of the power angle after $5$ cycles is __________ electrical degrees.
asked
Feb 27, 2017
in
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Arjun
(
5.4k
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gate2017ee2
numericalanswers
0
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16
GATE2017255
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 of a soap (assuming ... , of the resulting single spherical drop with respect to the same reference point at infinity is _________. (Give the answer up to two decimal places.)
asked
Feb 27, 2017
in
new
by
Arjun
(
5.4k
points)
gate2017ee2
numericalanswers
0
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0
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17
GATE2017232
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 cascade system produces an ... $x(n)= \{\underset{\uparrow}{1}1, 1, 1, 1 \}$ $x(n)= \{\underset{\uparrow}{1}1, 2, 2, 1 \}$
asked
Feb 27, 2017
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Arjun
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5.4k
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gate2017ee2
0
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18
GATE2017233
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 rotational losses of the machine, the current drawn by the motor from the $220$V supply is $34.2$ A $30$ A $22$ A $4.84$ A
asked
Feb 27, 2017
in
new
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Arjun
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5.4k
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gate2017ee2
0
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19
GATE2017234
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. $s=1$ $s=\sqrt{5}$ $s=5$ $s=\sqrt{5}$
asked
Feb 27, 2017
in
Others
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Arjun
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5.4k
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gate2017ee2
0
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20
GATE2017235
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 $0 < K < 6$ $0 < K < 16$ $6 < K < 36$ $6 < K < 16$
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Feb 27, 2017
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Arjun
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5.4k
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gate2017ee2
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21
GATE2017236
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} \\ $ $\frac{100}{s^{2}+5s+100} \\$ $\frac{100}{s^{2}+20s+100}$
asked
Feb 27, 2017
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Arjun
(
5.4k
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gate2017ee2
0
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0
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22
GATE2017237
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 $BE$ junction is forward biased. For this circuit, the value of $\frac{R_{B}}{R}$ is $43$ $92$ $121$ $129$
asked
Feb 27, 2017
in
Others
by
Arjun
(
5.4k
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gate2017ee2
0
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0
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23
GATE2017238
For the circuit shown below, assume that the $OPAMP$ is ideal. Which one of the following is TRUE? $v_{0}=v_{s}$ $v_{0}=1.5 v_{s}$ $v_{0}=2.5 v_{s}$ $v_{0}=5 v_{s}$
asked
Feb 27, 2017
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new
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Arjun
(
5.4k
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gate2017ee2
0
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24
GATE2017239
The figure below shows a halfbridge voltage source inverter supplying an RLload 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 sinusoidal pulse width ... value of $DC$ source voltage $V_{DC}$ in volts is. $300\sqrt{2}$ $500$ $500\sqrt{2}$ $1000\sqrt{2}$
asked
Feb 27, 2017
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Arjun
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5.4k
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gate2017ee2
0
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25
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 $\text{var} \{Y\}$, where $\text{var} \{ \cdot \}$ denotes the variance, equals $\frac{7}{8} \\$ $\frac{49}{64} \\$ $\frac{7}{64} \\$ $\frac{105}{64}$
asked
Feb 27, 2017
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Arjun
(
5.4k
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gate2017ee2
0
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26
GATE2017241
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
asked
Feb 27, 2017
in
Others
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5.4k
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gate2017ee2
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27
GATE2017242
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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Feb 27, 2017
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Arjun
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5.4k
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gate2017ee2
numericalanswers
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28
GATE2017243
A starconnected, $12.5$kW, $208$ V (line), $3$phase, $60$Hz squirrel cage induction motor has following equivalent circuit parameters per phase referred to the stator: $R_{1}=0.3 \Omega, R_{2}=0.3\Omega, X_{1}=0.41\Omega, X_{2}=0.41\Omega$. Neglect ... . The starting current (in Ampere) for this motor when connected to an $80$ V (line), $20$ Hz, $3$phase AC source is _________.
asked
Feb 27, 2017
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new
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Arjun
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5.4k
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gate2017ee2
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29
GATE2017221
For the given $2$port network, the value of transfer impedance $z_{21}$ in ohms is _________.
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Feb 27, 2017
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Arjun
(
5.4k
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gate2017ee2
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30
GATE2017222
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.)
asked
Feb 27, 2017
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Arjun
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5.4k
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31
GATE2017223
The mean square value of the given periodic waveform $f(t)$ is __________.
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Feb 27, 2017
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Arjun
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5.4k
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gate2017ee2
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32
GATE2017224
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.)
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Feb 27, 2017
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Arjun
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5.4k
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gate2017ee2
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33
GATE2017225
In a load flow problem solved by NewtonRaphson 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 ______.
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Feb 27, 2017
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34
GATE2017226
Let $ g(x)= \begin{cases} x & \ x \leq 1 \\ x+1 & \ x \geq 1 \end{cases}$ and $ f(x)= \begin{cases} 1x & \ x \leq 0 \\ x^{2} & \ x > 0 \end{cases}$. Consider the composition of $f$ and $g$, i.e., $(f {\circ} g) (x) = f (g(x))$. The number of discontinuities in $(f {\circ} g) (x)$ present in the interval $(\infty, 0)$ is: $0$ $1$ $2$ $4$
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Feb 27, 2017
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Arjun
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5.4k
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gate2017ee2
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35
GATE2017227
The value of the contour integral in the complex plane $\oint \frac{z^{3}2z+3}{z2} dz$ along the contour $\mid z \mid =3$, taken counter clockwise is $18 \pi i$ $0$ $14 \pi i$ $48 \pi i$
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Feb 27, 2017
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36
GATE2017228
The eigenvalues of the matrix given below are $\begin{bmatrix} 0 & 1 & 0\\ 0 & 0 & 1\\ 0 & 3 & 4 \end{bmatrix}$ $(0, 1, 3)$ $(0, 2, 3)$ $(0, 2, 3)$ $(0, 1, 3)$
asked
Feb 27, 2017
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5.4k
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37
GATE2017229
For the balanced $YY$ connected $3$phase circuit shown in the figure below, the lineline voltage is $208$ V rms and the total power absorbed by the load is $432$ W at a power factor of $0.6$ leading. The approximate value of the impedance $Z$ is $33 \angle 53.1^{\circ}\Omega $ $60 \angle 53.1^{\circ}\Omega $ $60 \angle 53.1^{\circ}\Omega $ $180 \angle 53.1^{\circ}\Omega $
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Feb 27, 2017
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Arjun
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5.4k
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gate2017ee2
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38
GATE2017230
In the circuit shown below, the value of capacitor $C$ required for maximum power to be transferred to the load is $1$ nF $1 \mu F$ $1$ mF $10$ mF
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Feb 27, 2017
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39
GATE2017231
The output $y(t)$ of the following system is to be sampled, so as to reconstruct it from its samples uniquely. The required minimum sampling rate is $1000$ samples/s $1500$ samples/s $2000$ samples/s $3000$ samples/s
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Feb 27, 2017
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40
GATE2017211
A phasecontrolled, singlephase, fullbridge converter is supplying a highly inductive $DC$ load. The converter is fed from a $230$ V, $50$ Hz, AC source. The fundamental frequency in Hz of the voltage ripple on the $DC$ side is $25$ $50$ $100$ $300$
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Feb 27, 2017
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