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1101

GATE Electrical 2016 Set 2 | GA Question: 3
Pick the odd one out in the following: $13, 23, 33, 43, 53$ $23$ $33$ $43$ $53$

Pick the odd one out in the following: $13, 23, 33, 43, 53$ $23$$33$ $43$$53$

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1102

GATE Electrical 2016 Set 2 | GA Question: 6
The following graph represents the installed capacity for cement production (in tonnes) and the actual production (in tonnes) of nine cement plants of a cement company. Capacity utilization of a plant is defined as ratio of actual ... a small plant. The difference between total production of large plants and small plants, in tonnes is ______________.

The following graph represents the installed capacity for cement production (in tonnes) and the actual production (in tonnes) of nine cement plants of a cement company. C...

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1103

GATE Electrical 2016 Set 1 | GA Question: 1
The man who is now Municipal Commissioner worked as __________. The security guard at a university A security guard at the university A security guard at university The security guard at the university

The man who is now Municipal Commissioner worked as __________.The security guard at a universityA security guard at the universityA security guard at universityThe secur...

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1104

GATE Electrical 2016 Set 1 | Question: 2
Consider a $3 \times 3$ matrix with every element being equal to $1$. Its only non-zero eigenvalue is ________.

Consider a $3 \times 3$ matrix with every element being equal to $1$. Its only non-zero eigenvalue is ________.

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1105

GATE Electrical 2016 Set 1 | Question: 32
Loop transfer function of a feedback system is $G(s)H(s)=\dfrac{s+3}{s^{2}(s-3)}$. Take the Nyquist contour in the clockwise direction. Then, the Nyquist plot of $G(s) H (s)$ encircles $-1 + j0$ Once in clockwise direction Twice in clockwise direction Once in anticlockwise direction Twice in anticlockwise direction

Loop transfer function of a feedback system is $G(s)H(s)=\dfrac{s+3}{s^{2}(s-3)}$. Take the Nyquist contour in the clockwise direction. Then, the Nyquist plot of $G(s) H ...

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1106

GATE Electrical 2016 Set 2 | Question: 48
A single-phase bi-directional voltage source converter $(VSC)$ is shown in the figure below. All devices are ideal. It is used to charge a battery at $400$ V with power of $5$ kW from a source $V_{s} = 220$ V (rms), $50$ Hz sinusoidal $AC$ ... $AC$ mains voltage $(V_{s})$ and fundamental $AC$ rms $VSC$ voltage $(V_{C1})$, in degree, is __________.

A single-phase bi-directional voltage source converter $(VSC)$ is shown in the figure below. All devices are ideal. It is used to charge a battery at $400$ V with power o...

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1107

GATE Electrical 2016 Set 1 | Question: 51
A single-phase transmission line has two conductors each of $10$ mm radius. These are fixed at a center-to-center distance of $1$ m in a horizontal plane. This is now converted to a three-phase transmission line by introducing a third ... more than that of the inductance per conductor of the single-phase system. The distance $D$, in meters, is _________.

A single-phase transmission line has two conductors each of $10$ mm radius. These are fixed at a center-to-center distance of $1$ m in a horizontal plane. This is now con...

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1108

GATE Electrical 2016 Set 1 | Question: 1
The maximum value attained by the function. $f(x) = x(x-1) (x-2)$ in the interval $[1, 2]$ is ___________.

The maximum value attained by the function. $f(x) = x(x-1) (x-2)$ in the interval $[1, 2]$ is ___________.

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1109

GATE Electrical 2016 Set 2 | Question: 28
Let $x_{1}(t)\leftrightarrow X_{1}(\omega )$ and $x_{2}(t)\leftrightarrow X_{2}(\omega )$ be two signals whose Fourier Transforms are as shown in the figure below. In the figure, $h(t)=e^{-2|t|}$ denotes the impulse response. For the system shown above ... can be uniquely reconstructed from its samples, is $2B_{1}$ $2(B_{1}+B_{2})$ $4(B_{1}+B_{2})$ $\infty$

Let $x_{1}(t)\leftrightarrow X_{1}(\omega )$ and $x_{2}(t)\leftrightarrow X_{2}(\omega )$ be two signals whose Fourier Transforms are as shown in the figure below. In the...

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1110

GATE Electrical 2016 Set 2 | GA Question: 10
The numeral in the units position of $211^{870}+146^{127} \times 3^{424}$ is _____.

The numeral in the units position of $211^{870}+146^{127} \times 3^{424}$ is _____.

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1111

GATE Electrical 2016 Set 2 | Question: 43
The starting line current of a $415$ V, $3$-phase, delta connected induction motor is $120$ A, when the rated voltage is applied to its stator winding. The starting line current at a reduced voltage of $110$ V, in ampere, is __________.

The starting line current of a $415$ V, $3$-phase, delta connected induction motor is $120$ A, when the rated voltage is applied to its stator winding. The starting line ...

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1112

GATE Electrical 2016 Set 1 | GA Question: 10
Choose the correct expression for $f(x)$ given in the graph. $f(x) = 1 - \mid x - 1 \mid $ $f(x) = 1 + \mid x - 1 \mid $ $f(x) = 2 - \mid x - 1 \mid $ $f(x) = 2 + \mid x - 1 \mid $

Choose the correct expression for $f(x)$ given in the graph.$f(x) = 1 - \mid x - 1 \mid $$f(x) = 1 + \mid x - 1 \mid $$f(x) = 2 - \mid x - 1 \mid $$f(x) = 2 + \mid x - 1 ...

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1113

GATE Electrical 2016 Set 1 | GA Question: 8
All hill-stations have a lake. Ooty has two lakes. Which of the statement(s) below is/are logically valid and can be inferred from the above sentences? Ooty is not a hill-station. No hill-station can have more than one lake. (i) only (ii) only Both (i) and (ii) Neither (i) nor (ii)

All hill-stations have a lake. Ooty has two lakes.Which of the statement(s) below is/are logically valid and can be inferred from the above sentences?Ooty is not a hill-s...

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1114

GATE Electrical 2016 Set 1 | GA Question: 6
Among $150$ faculty members in an institute, $55$ are connected with each other through Facebook$^®$ and $85$ are connected through WhatsApp$^®$. $30$ faculty members do not have Facebook$^®$ or WhatsApp$^®$ accounts. The number of faculty members connected only through Facebook$^®$ accounts is _________. $35$ $45$ $65$ $90$

Among $150$ faculty members in an institute, $55$ are connected with each other through Facebook$^®$ and $85$ are connected through WhatsApp$^®$. $30$ faculty members d...

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1115

GATE Electrical 2016 Set 1 | Question: 28
Let the eigenvalues of a $2 \times 2$ matrix $A$ be $1, -2$ with eigenvectors $x_{1}$ and $x_{2}$ respectively. Then the eigenvalues and eigenvectors of the matrix $A^{2}-3A+4I$ would, respectively, be $2, 14; x_{1}, x_{2}$ $2, 14; x_{1}+ x_{2}, x_{1} - x_{2}$ $2, 0; x_{1}, x_{2}$ $2, 0; x_{1}+ x_{2}, x_{1} - x_{2}$

Let the eigenvalues of a $2 \times 2$ matrix $A$ be $1, -2$ with eigenvectors $x_{1}$ and $x_{2}$ respectively. Then the eigenvalues and eigenvectors of the matrix $A^{2}...

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1116

GATE Electrical 2016 Set 1 | Question: 52
In the circuit shown below, the supply voltage is $10 \sin(1000t)$ volts. The peak value of the steady state current through the $1 \Omega$ resistor, in amperes, is ________.

In the circuit shown below, the supply voltage is $10 \sin(1000t)$ volts. The peak value of the steady state current through the $1 \Omega$ resistor, in amperes, is _____...

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1117

GATE Electrical 2016 Set 2 | GA Question: 7
A poll of students appearing for masters in engineering indicated that $60$ % of the students believed that mechanical engineering is a profession unsuitable for women. A research study on women with masters or higher degrees ... or higher degrees in mechanical engineering. The number of women pursuing higher degrees in mechanical engineering is small.

A poll of students appearing for masters in engineering indicated that $60$ % of the students believed that mechanical engineering is a profession unsuitable for women. A...

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1118

GATE Electrical 2016 Set 1 | Question: 6
The transfer function of a system is $\dfrac{Y(s)}{R(s)}=\dfrac{s}{s+2}$. The steady state output $y(t)$ is $A \cos (2t + \phi)$ for the input $\cos (2t)$. The values of $A$ and $\phi$ respectively are $\dfrac{1}{\sqrt{2}}, -45^\circ$ $\dfrac{1}{\sqrt{2}}, +45^\circ$ $\sqrt{2}, -45^\circ$ $\sqrt{2}, +45^\circ$

The transfer function of a system is $\dfrac{Y(s)}{R(s)}=\dfrac{s}{s+2}$. The steady state output $y(t)$ is $A \cos (2t + \phi)$ for the input $\cos (2t)$. The values of ...

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1119

GATE Electrical 2016 Set 1 | Question: 13
In cylindrical coordinate system, the potential produced by a uniform ring charge is given by $\phi = f(r, z)$ where $f$ is a continuous function of $r$ and $z$. Let $\overrightarrow{E}$ be the resulting electric field. Then the magnitude of $\nabla \times \overrightarrow{E}$ Increases with $r$ Is $0$. Is $3$. Decreases with $z$.

In cylindrical coordinate system, the potential produced by a uniform ring charge is given by $\phi = f(r, z)$ where $f$ is a continuous function of $r$ and $z$. Let $\ov...

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1120

GATE Electrical 2016 Set 2 | Question: 5
Suppose the maximum frequency in a band-limited signal $x(t)$ is $5 kHz$. Then, the maximum frequency in $x(t)\cos(2000\pi t)$, in $kHz$, is ________.

Suppose the maximum frequency in a band-limited signal $x(t)$ is $5 kHz$. Then, the maximum frequency in $x(t)\cos(2000\pi t)$, in $kHz$, is ________.

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