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GATE Electrical 2012 | Question: 65
The data given in the following table summarizes the monthly budget of an average household.$$\begin{array}{|l|c|c|} \hline \textbf{Category} & \textbf{Amount(Rs.)} \\\hl...
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333
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GATE Electrical 2012 | Question: 64
There are eight bags of rice looking alike, seven of which have equal weight and one is slightly heavier. The weighing balance is of unlimited capacity. Using this balanc...
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462
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GATE Electrical 2012 | Question: 63
Raju has $14$ currency notes in his pocket consisting of only Rs. $20$ notes and Rs. $10$ notes. The total money value of the notes is Rs. $230$. The number of Rs. $10$ n...
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306
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GATE Electrical 2012 | Question: 61
$A$ and $B$ are friends. They decide to meet between $1:00$ pm and $2:00$ pm on a given day. There is a condition that whoever arrives first will not wait for the other f...
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GATE Electrical 2012 | Question: 62
One of the legacies of the Roman legions was discipline. In the legions, military law prevailed and discipline was brutal. Discipline on the battlefield kept units obedie...
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325
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GATE Electrical 2012 | Question: 60
Which one of the following options is the closest in meaning to the word given below?$\textbf{Latitude}$EligibilityFreedomCoercionMeticulousness
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289
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GATE Electrical 2012 | Question: 59
Choose the most appropriate word from the options given below to complete the following sentence:$\textbf{Given the seriousness of the situation that he had to face, his ...
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305
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GATE Electrical 2012 | Question: 58
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 m...
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531
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GATE Electrical 2012 | Question: 57
If $(1.001)^{1259}=3.52$ and $(1.001)^{2062}=7.85,$ then $(1.001)^{3321}=?$$2.23$$4.33$$11.37$$27.64$
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250
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GATE Electrical 2012 | Question: 50
With $10$ V dc connected at port A in the linear nonreciprocal two-port network shown below, the following were observed:$1 \: \Omega$ connected at port B draws a current...
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250
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GATE Electrical 2012 | Question: 55
The transfer function of a compensator is given as $$G_c(s) = \frac{s+a}{s+b}$$The phase of the above lead compensator is maximum at$\sqrt{2}$ rad/s$\sqrt{3}$ rad/s$\sqrt...
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244
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GATE Electrical 2012 | Question: 54
The transfer function of a compensator is given as $$G_c(s) = \frac{s+a}{s+b}$$$G_c(s)$ is a lead compensator if$a=1, \: b=2$$a=3, \: b=2$$a=-3, \: b=-1$$a=3, \: b=1$
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398
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GATE Electrical 2012 | Question: 53
In the circuit shown, the three voltmeter readings are $V_1 =220$ V, $V_2=122$ V, $V_3=136$ V.If $R_L=5 \: \Omega$, the approximate power consumption in the load is $700$...
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387
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GATE Electrical 2012 | Question: 52
In the circuit shown, the three voltmeter readings are $V_1 =220$ V, $V_2=122$ V, $V_3=136$ V.The power factor of the load is$0.45$$0.50$$0.55$$0.60$
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219
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GATE Electrical 2012 | Question: 51
With $10$ V dc connected at port A in the linear nonreciprocal two-port network shown below, the following were observed:$1 \: \Omega$ connected at port B draws a current...
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325
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GATE Electrical 2012 | Question: 56
One of the parts (A, B, C, D) in the sentence given below contains an ERROR. Which one of the following is $\textbf{INCORRECT}$?$\textbf{I requested that he should be giv...
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250
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GATE Electrical 2012 | Question: 49
In the $3$-phase inverter circuit shown, the load is balanced and the gating scheme is $180^{\circ}$-conduction mode. All the switching devices are ideal.If the dc bus vo...
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313
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GATE Electrical 2012 | Question: 48
In the $3$-phase inverter circuit shown, the load is balanced and the gating scheme is $180^{\circ}$-conduction mode. All the switching devices are ideal.The rms value of...
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265
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GATE Electrical 2012 | Question: 47
A single phase $10$ kVA, $50$ Hz transformer with $1$ kV primary winding draws $0.5$ A and $55$ W, at rated voltage and frequency, on no load. A second transformer has a ...
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282
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GATE Electrical 2012 | Question: 46
The locked rotor current in a $3$-phase, star connected $15$ kW, $4$-pole, $230$ V, $50$ Hz induction motor at rated conditions is $50$ A. Neglecting losses and magnetizi...
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505
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GATE Electrical 2012 | Question: 45
An analog voltmeter uses external multiplier settings. With a multiplier setting of $20 \: k \Omega$, it reads $440$ V and with a multiplier setting of $80 \: k \Omega$, ...
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255
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GATE Electrical 2012 | Question: 44
The input $x(t)$ and output $y(t)$ of a system are related as $y(t)= \int_ {- \infty}^t x(\tau) \cos(3 \tau) d \tau$. The system istime-invariant and stablestable and not...
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254
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GATE Electrical 2012 | Question: 43
The feedback system shown below oscillates at $2$ rads /s when$K=2$ and $a=0.75$$K=3$ and $a=0.75$$K=4$ and $a=0.5$$K=2$ and $a=0.5$
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348
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GATE Electrical 2012 | Question: 37
A fair coin is tossed till a head appears for the first ime. The probability that the number of required tosses is odd, is$1/3$$1/2$$2/3$$3/4$
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270
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GATE Electrical 2012 | Question: 39
Consider the differential equation $\dfrac{d^2y(t)}{dt^2} + 2 \dfrac{dy(t)}{dt} + y(t)=\delta (t)$ with $y(t) \bigg \vert_{t=0^-}= -2$ and $\dfrac{dy}{dt} \bigg \vert _{t...
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312
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GATE Electrical 2012 | Question: 40
Assuming both the voltages sources are in phase, the value of R for which maximum power is transferred from circuit A to circuit B is$0.8 \: \Omega$$1.4 \: \Omega$$2 \: \...
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238
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GATE Electrical 2012 | Question: 36
A $220$ V, $15$ kW, $1000$ rpm shunt motor with armature resistance of $0.25 \: \Omega$, has a rated line current of $68$ A and a rated field current of $2.2$ A. The chan...
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391
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GATE Electrical 2012 | Question: 38
The direction of vector $\textbf{A}$ is radically outward from the origin, with $\mid \textbf{A} \mid k r ^n$ where $r^2=x^2+y^2+z^2$ and $k$ is a constant. The value of ...
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291
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GATE Electrical 2012 | Question: 42
The Fourier transform of a signal $h(t)$ is $H(j \omega) = (2 \cos \omega) (\sin 2 \omega )/ \omega$. The value of $h(0)$ is$1/4$$1/2$$1$$2$
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334
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GATE Electrical 2012 | Question: 41
The state variable description of an LTI system is given by$$\begin{pmatrix} x_1 \\ x_2 \\ x_3 \end{pmatrix} = \begin{pmatrix} 0 & a_1 & 0 \\ 0 & 0 & a_2 \\ a_3 & 0 & 0 \...
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