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GATE Electrical 2012 | Question: 65
The data given in the following table summarizes the monthly budget of an average household. ... The approximate percentage of the monthly budget $\textbf{NOT}$ spent on savings is $10\%$ $14\%$ $81\%$ $86\%$

Andrijana3306 asked in Quantitative Aptitude Mar 24, 2018

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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 balance, the minimum number of weighings required to identify the heavier bag is $2$ $3$ $4$ $8$

Andrijana3306 asked in Analytical Aptitude Mar 24, 2018

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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. $10$ notes that Raju has is $5$ $6$ $9$ $10$

Andrijana3306 asked in Quantitative Aptitude Mar 24, 2018

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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 obedient, intact and fighting, even when the odds and conditions were against ... . The harsh discipline to which the legions were subjected to led to the odds and conditions being against them.

Andrijana3306 asked in Verbal Aptitude Mar 24, 2018

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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 for more than $15$ minutes. The probability that they will meet on that day is $1/4$ $1/16$ $7/16$ $9/16$

Andrijana3306 asked in Quantitative Aptitude Mar 24, 2018

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6

GATE Electrical 2012 | Question: 60
Which one of the following options is the closest in meaning to the word given below? $\textbf{Latitude}$ Eligibility Freedom Coercion Meticulousness

Andrijana3306 asked in Verbal Aptitude Mar 24, 2018

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7

GATE Electrical 2012 | Question: 59
Choose the most appropriate word from the options given below to complete the following sentence: $\textbf{Given the seriousness of the situation that he had to face, his _______was impressive.}$ beggary nomenclature jealousy nonchalance

Andrijana3306 asked in Verbal Aptitude Mar 24, 2018

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8

GATE Electrical 2012 | Question: 58
Choose the most appropriate alternative from the options given below to complete the following sentence: $\textbf{If the tired soldier wanted to lie down, he _______ the mattress out on the balcony.}$ should take shall take should have taken will have taken

Andrijana3306 asked in Verbal Aptitude Mar 24, 2018

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9

GATE Electrical 2012 | Question: 57
If $(1.001)^{1259}=3.52$ and $(1.001)^{2062}=7.85,$ then $(1.001)^{3321}=?$ $2.23$ $4.33$ $11.37$ $27.64$

Andrijana3306 asked in Analytical Aptitude Mar 24, 2018

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10

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 $\textbf{INCORRECT}$? $\textbf{I requested that he should be given the driving test today instead of tomorrow.}$ requested that should be given the driving test instead of tomorrow

Andrijana3306 asked in Verbal Aptitude Mar 24, 2018

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11

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 $\sqrt{6}$ rad/s $1 / \sqrt{3}$ rad/s

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12

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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13

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 $700$ W $750$ W $800$ W $850$ W

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14

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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15

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 of $3$ A $2.5 \: \Omega$ connected at port B draws a current of $2$ A With $10$ V dc connected at port A, the current drawn by $7 \: \Omega$ connected at port B is $3/7$ A $5/7$ A $1$ A $9/7$ A

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16

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 of $3$ A $2.5 \: \Omega$ connected at port B draws a current of $2$ A For the same network, ... If $8$ V dc is connected to port A, the open circuit voltage at port B is $6$ V $7$ V $8$ V $9$ V

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17

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 voltage $V_d=300$ V, the power consumed by $3$-phase load is $1.5$ kW $2.0$ kW $2.5$ kW $3.0$ kW

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18

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 load phase voltage is $106.1$ V $141.4$ V $212.2$ V $282.8$ V

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19

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 core with all its linear dimensions $\sqrt{2}$ times the corresponding dimensions of the first transformer. The core ... are $0.7$ A, $77.8$ W $0.7$ A, $155.6$ W $1$ A, $110$ W $1$ A, $220$ W

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20

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 magnetizing current, the approximate locked rotor line current drawn when the motor is connected to a $236$ V, $57$ Hz supply is $58.5$ A $45.0$ A $42.7$ A $55.6$ A

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21

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 $80 \: k \Omega$, it reads $352$ V. For a multiplier setting of $40 \: k \Omega$, the voltmeter reads $371$ V $383$ V $394$ V $406$ V

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22

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 is time-invariant and stable stable and not time-invariant time-invariant and not stable not time-invariant and not stable

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23

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 $a=0.5$

Andrijana3306 asked in new Mar 24, 2018

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24

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 $1/4$ $1/2$ $1$ $2$

Andrijana3306 asked in Transform Theory Mar 24, 2018

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25

GATE Electrical 2012 | Question: 41
The state variable description of an LTI system is given by ... $a_1 = 0, \: a_2 \neq 0, \: a_3 = 0$ $a_1 \neq 0, \: a_2 \neq 0, \: a_3 = 0$

Andrijana3306 asked in Linear Algebra Mar 24, 2018

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26

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 $n$ for which $\nabla \cdot \textbf{A} = 0$ is $-2$ $2$ $1$ $0$

Andrijana3306 asked in Calculus Mar 24, 2018

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27

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 $1/3$ $1/2$ $2/3$ $3/4$

Andrijana3306 asked in Probability & Statistics Mar 24, 2018

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28

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 $\dfrac{dy}{dt} \bigg \vert _{t=0^-} =0$. The numerical value of $\dfrac{dy}{dt} \bigg \vert _{t=0^+}$ is $-2$ $-1$ $0$ $1$

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29

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 $0.8 \: \Omega$ $1.4 \: \Omega$ $2 \: \Omega$ $2.8 \: \Omega$

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30

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 change on field flux required to obtain a speed of $1600$ rpm while drawing a line ... a field current of $1.8$ A is $18.18 \%$ increase $18.18 \%$ decrease $36.36 \%$ increase $36.36 \%$ decrease

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31

GATE Electrical 2012 | Question: 32
The circuit shown is a low pass filter with $f_{3dB} = \dfrac{1}{(R_1+R_2)C} \text{ rad/s} \\$ high pass filter with $f_{3dB} = \dfrac{1}{R_1C}\text{ rad/s} \\$ low pass filter with $f_{3dB} = \dfrac{1}{R_1C}\text{ rad/s} \\$ high pass filter with $f_{3dB} = \dfrac{1}{(R_1+R_2)C}\text{ rad/s} \\$

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32

GATE Electrical 2012 | Question: 35
In the circuit shown, an ideal switch $S$ is operated at $100$ kHz with a duty ratio of $50 \%$. Given that $\Delta i_c$ is $1.6$ A peak-to-peak and $I_0$ is $5$ A dc, the peak current in $S$ is $6.6$ A $5.0$ A $5.8$ A $4.2$ A

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33

GATE Electrical 2012 | Question: 34
A cylindrical rotor generator delivers $0.5$ pu power in the steady-state to an infinite bus through a transmission line of reactance $0.5$ pu. The generator no-load voltage is $1.5$ pu and the infinite bus voltage is $1$ pu. The inertia constant of ... degrees, for a three-phase dead short circuit fault at the generator terminal is $53.5$ $60.2$ $70.8$ $79.6$

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34

GATE Electrical 2012 | Question: 33
For the system shown below, $S_{D1}$ and $S_{D2}$ are complex power demands at bus $1$ and bus $2$ respectively. If $\mid V_2 \mid =1$ pu, the VAR rating of the capacitor $(Q_{G2})$ connected at bus $2$ is $0.2$ pu $0.268$ pu $0.312$ pu $0.4$ pu

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35

GATE Electrical 2012 | Question: 31
Let $y[n]$ denote the convolution of $h[n]$ and $g[n]$, where $h[n]=(1/2)^n u[n]$ and $g[n]$ is a casual sequence. If $y[0]=1$ and $y[1]=1/2$, then $g[1]$ equals $0$ $1/2$ $1$ $3.2$

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36

GATE Electrical 2012 | Question: 30
The state transition diagram for the logic circuit shown is

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37

GATE Electrical 2012 | Question: 29
The voltage gain $A_V$ of the circuit shown below is $\mid A_V \mid \approx 200$ $\mid A_V \mid \approx 100$ $\mid A_V \mid \approx 20$ $\mid A_V \mid \approx 10$

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38

GATE Electrical 2012 | Question: 27
The maximum value of $f(x) = x^3-9x^2+24x+5$ in the interval $[1,6]$ is $21$ $25$ $41$ $46$

Andrijana3306 asked in Calculus Mar 24, 2018

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39

GATE Electrical 2012 | Question: 26
Given that $\textbf{A}= \begin{bmatrix} -5 & -3 \\ 2 & 0 \end{bmatrix}$ and $\textbf{I} = \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}$, the value of $A^3$ is $15 \: \textbf{A} + 12 \: \textbf{I}$ $19 \: \textbf{A} + 30 \: \textbf{I}$ $17 \: \textbf{A} + 15 \: \textbf{I}$ $17 \: \textbf{A} + 21 \: \textbf{I}$

Andrijana3306 asked in Linear Algebra Mar 24, 2018

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40

GATE Electrical 2012 | Question: 25
For the circuit shown in the figure, the voltage and current expressions are $v(t) = E_1 \sin (\omega t) + E_3 \sin (3 \omega t)$ and $i(t)=I_1 \sin (\omega t - \phi _1) + I_3 \sin (3 \omega t - \phi _3) + I_5 \sin (5 \omega t).$ The average power ... $\dfrac{1}{2} [E_1 I_1 \cos \phi _1 + E_3 I_1 \cos \phi _1]$

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