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Recent questions tagged numerical-answers
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81
GATE Electrical 2020 | Question: 17
A three-phase, $\text{50 Hz}$, $4$-pole induction motor runs at no-load with a slip of $1\%$. With full load, the slip increases to $5 \%$. The $\%$ speed regulation of the motor (rounded off to $2$ decimal places) is _____________________.
A three-phase, $\text{50 Hz}$, $4$-pole induction motor runs at no-load with a slip of $1\%$. With full load, the slip increases to $5 \%$. The $\%$ speed regulation of t...
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GATE Electrical 2020 | Question: 21
A single-phase, $\text{4 kVA}$, $200\: V/100 \: V$, $50 \: Hz$ transformer with laminated $\text{CRGO}$ steel core has rated no-load loss of $450 \: W$. When the high-voltage winding is excited with $160 \: V$, $40 \: Hz$ ... $\text{25 Hz}$ sinusoidal ac source, the no-load losses will be _____________________$\text{W}$ (rounded off to $2$ decimal places).
A single-phase, $\text{4 kVA}$, $200\: V/100 \: V$, $50 \: Hz$ transformer with laminated $\text{CRGO}$ steel core has rated no-load loss of $450 \: W$. When the high-vo...
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GATE Electrical 2020 | Question: 22
A single-phase inverter is fed from a $100 \: V$ dc source and is controlled using a quasi-square wave modulation scheme to produce an output waveform, $\nu\left ( t \right )$, as shown. The angle $\sigma$ is adjusted to ... $2$ decimal places).
A single-phase inverter is fed from a $100 \: V$ dc source and is controlled using a quasi-square wave modulation scheme to produce an output waveform, $\nu\left ( t \rig...
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GATE Electrical 2020 | Question: 23
A single $50 \: Hz$ synchronous generator on droop control was delivering $100 \: MW$ power to a system. Due to increase in load, generator power had to be increased by $10 \: MW$ ... At this condition, the power in $\text{MW}$ supplied by the generator is _________________ (rounded off to $2$ decimal places).
A single $50 \: Hz$ synchronous generator on droop control was delivering $100 \: MW$ power to a system. Due to increase in load, generator power had to be increased by $...
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GATE Electrical 2020 | Question: 24
Consider a negative unity feedback system with forward path transfer function $G\left ( s \right )=\dfrac{K}{\left ( s+a \right )\left ( s-b \right )\left ( s+c \right )}$, where $\text{K, a, b, c}$ are positive real numbers. For a Nyquist path ... $\text{s}$-plane is__________.
Consider a negative unity feedback system with forward path transfer function $G\left ( s \right )=\dfrac{K}{\left ( s+a \right )\left ( s-b \right )\left ( s+c \right )}...
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GATE Electrical 2020 | Question: 25
The cross-section of a metal-oxide-semiconductor structure is shown schematically. Starting from an uncharged condition, a bias of $\text{+3 V}$ is applied to the gate contact with respect to the body contact. The charge inside the silicon ... , expressed as a multiple of $\text{Q}$ (absolute value in Coulombs, rounded off to the nearest integer) is___________
The cross-section of a metal-oxide-semiconductor structure is shown schematically. Starting from an uncharged condition, a bias of $\text{+3 V}$ is applied to the gate co...
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GATE Electrical 2020 | Question: 45
A resistor and a capacitor are connected in series to a $\text{10 V dc}$ supply through a switch. The switch is closed at $\text{t = 0}$, and the capacitor voltage is found to cross $\text{0 V}$ at $t=0.4\tau$, where ... the initial capacitor voltage if the zero crossing has to happen at $t=0.2\tau$ is _______________________ (rounded off to $2$ decimal places).
A resistor and a capacitor are connected in series to a $\text{10 V dc}$ supply through a switch. The switch is closed at $\text{t = 0}$, and the capacitor voltage is fou...
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GATE Electrical 2020 | Question: 46
A cylindrical rotor synchronous generator with constant real power output and constant terminal voltage is suppling $100 \: A$ current to a $0.9$ lagging power factor load. An ideal reactor is now connected in parallel with the load, as a ... power remains unchanged. The armature current is now ___________________ $\text{A}$ (rounded off to $2$ decimal places).
A cylindrical rotor synchronous generator with constant real power output and constant terminal voltage is suppling $100 \: A$ current to a $0.9$ lagging power factor loa...
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89
GATE Electrical 2020 | Question: 47
Bus $1$ with voltage magnitude $V_{1}=1.1 \: pu$ is sending reactive power $Q_{12}$ towards bus $2$ with voltage magnitude $\text{$V_{2}=1$ pu}$ through a lossless transmission line of reactance $X$. Keeping the voltage at bus $ ... value of the voltage magnitude, $V_{1}$, in $pu$ ( rounded off to $2$ decimal places), at bus $1$ is___________________.
Bus $1$ with voltage magnitude $V_{1}=1.1 \: pu$ is sending reactive power $Q_{12}$ towards bus $2$ with voltage magnitude $\text{$V_{2}=1$ pu}$ through a lossless transm...
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GATE Electrical 2020 | Question: 48
Windings $\text{ A','B'}$ and $\text{ C'}$ have $20$ turns each and are wound on the same iron core as shown, along with winding $\text{ X'}$ which has $2$ turns. The figure shows the sense (clockwise/anti-clockwise) of each of the windings ... $\text{RMS}$ voltage (in $\text{V}$, rounded off to $2$ decimal places) across winding $\text{ X'}$ is _______________.
Windings $\text{‘A’,’B’}$ and $\text{‘C’}$ have $20$ turns each and are wound on the same iron core as shown, along with winding $\text{‘X’}$ which has $2...
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GATE Electrical 2020 | Question: 49
A cylindrical rotor synchronous generator has steady state synchronous reactance of $0.7 \: pu$ and subtransient reactance of $0.2 \: pu$. It is operating at $\left ( 1+j0 \right ) pu$ terminal voltage with an internal $\text{emf}$ ... the generator, the magnitude of the subtransient internal $\text{emf}$ (rounded off to $2$ decimal places) is ____________ $pu$.
A cylindrical rotor synchronous generator has steady state synchronous reactance of $0.7 \: pu$ and subtransient reactance of $0.2 \: pu$. It is operating at $\left ( 1+j...
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GATE Electrical 2020 | Question: 50
In the $\text{dc-dc}$ converter circuit shown, switch $\text{Q}$ is switched at a frequency of $10 \: kHz$ with a duty ratio of $0.6$. All components of the circuit are ideal, and the initial current in the inductor is zero. Energy stored in the inductor in $\text{mJ}$ (rounded off to $2$ decimal places) at the end of $10$ complete switching cycles is _________.
In the $\text{dc-dc}$ converter circuit shown, switch $\text{Q}$ is switched at a frequency of $10 \: kHz$ with a duty ratio of $0.6$. All components of the circuit are i...
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GATE Electrical 2020 | Question: 51
A single-phase, full-bridge, fully controlled thyristor rectifier feeds a load comprising a $10 \: \Omega$ resistance in series with a very large inductance. The rectifier is fed from an ideal $230 \: V$, $50 \: Hz$ sinusoidal source through ... $\alpha =45^{\circ}$, the commutation overlap angle in degree (rounded off to $2$ decimal places) is _______________.
A single-phase, full-bridge, fully controlled thyristor rectifier feeds a load comprising a $10 \: \Omega$ resistance in series with a very large inductance. The rectifie...
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GATE Electrical 2020 | Question: 52
A non-ideal $\text{Si}$-based $\text{pn}$ junction diode is tested by sweeping the bias applied across its terminals from $-5\:V$ to $5\:V$. The effective thermal voltage, $V_{T}$ ... percentage uncertainty (rounded off to $2$ decimal places) in the measured current at a bias voltage of $\text{0.02 V}$ is ____________.
A non-ideal $\text{Si}$-based $\text{pn}$ junction diode is tested by sweeping the bias applied across its terminals from $-5\:V$ to $5\:V$. The effective thermal voltage...
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GATE Electrical 2020 | Question: 53
The temperature of the coolant oil bath for a transformer is monitored using the circuit shown. It contains a thermistor with a temperature-dependent resistance, $R_{thermistor}=2\left ( 1+\alpha\:T \right )k\Omega$, where $\text{T}$ is the temperature in ... the output signal (in $\text{V}$ , rounded off to $2$ decimal places) at $150^{\circ}C$ is ____________.
The temperature of the coolant oil bath for a transformer is monitored using the circuit shown. It contains a thermistor with a temperature-dependent resistance, $R_{ther...
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GATE Electrical 2020 | Question: 54
An $8085$ microprocessor acesses two memory locations $\text{(2001H)}$ and $\text{(2002H)}$, that contain $8$-bit numbers $\text{98H}$ and $\text{B1H}$, respectively. The following program is executed: LXI H,2001H MVI A, 21 H INX H ... the end of this program, the memory location $\text{2003H}$ contains the number in decimal $\text{(base 10)}$ form _____________.
An $8085$ microprocessor acesses two memory locations $\text{(2001H)}$ and $\text{(2002H)}$, that contain $8$-bit numbers $\text{98H}$ and $\text{B1H}$, respectively. The...
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GATE Electrical 2020 | Question: 55
A conducting square loop of side length $1\:m$ is placed at a distance of $1\:m$ from a long straight wire carrying a current $I = 2 A$ as shown below. The mutual inductance, in $nH$ (rounded off to $2$ decimal places), between the conducting loop and the long wire is __________.
A conducting square loop of side length $1\:m$ is placed at a distance of $1\:m$ from a long straight wire carrying a current $I = 2 A$ as shown below. The mutual inducta...
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GATE Electrical 2019 | Question: 18
If $f=2x^{3}+3y^{2}+4z$, the value of line integral $\int_{c} \text{grad}f \cdot d \textbf{r}$ evaluated over contour $C$ formed by the segments $(-3,-3,2)\rightarrow(2,-3,2)\rightarrow(2,6,2) \rightarrow(2,6,-1) $ is___________.
If $f=2x^{3}+3y^{2}+4z$, the value of line integral $\int_{c} \text{grad}f \cdot d \textbf{r}$ evaluated over contour $C$ formed by the segments $(-3,-3,2)\rightarrow(2,-...
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Feb 12, 2019
Calculus
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calculus
line-integral
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GATE Electrical 2019 | Question: 19
The current $I$ is flowing in the circuit shown below in amperes (round off to one decimal place) is _________
The current $I$ is flowing in the circuit shown below in amperes (round off to one decimal place) is _________
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GATE Electrical 2019 | Question: 20
A co-axial Cylindrical capacitor is shown in the Figure(i) has dielectric with relative permittivity $\varepsilon_{r1} = 2$. When one – fourth portion of the dielectric is replaced with another dielectric of relative permittivity $\varepsilon_{r2}$, as shown in the Figure(ii), the capacitance is doubled. The value of $\varepsilon_{r2}$ is _________.
A co-axial Cylindrical capacitor is shown in the Figure(i) has dielectric with relative permittivity $\varepsilon_{r1} = 2$. When one – fourth portion of the dielectric...
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GATE Electrical 2019 | Question: 21
The $Y_{\text{bus}}$ matrix of a two-bus power system having two identical parallel lines connected between them in pu is given as $Y_{\text{bus}} = \begin{bmatrix} -j8 & j20 \\ j20& -j8 \end{bmatrix}$The magnitude of the series reactance of each line in pu (round off upto one decimal place) is__________.
The $Y_{\text{bus}}$ matrix of a two-bus power system having two identical parallel lines connected between them in pu is given as $$Y_{\text{bus}} = \begin{bmatrix} -j8 ...
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GATE Electrical 2019 | Question: 22
Five alternators each rated $5$ MVA, $13.2$ kV with $25 \%$ of reactance on its own base are connected in parallel to a busbar. The short circuit level in MVA at the busbar is ____________
Five alternators each rated $5$ MVA, $13.2$ kV with $25 \%$ of reactance on its own base are connected in parallel to a busbar. The short circuit level in MVA at the bus...
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GATE Electrical 2019 | Question: 23
The total impedance of the secondary winding, leads, and burden of a $5$ A CT is $0.01 \: \Omega$. If the fault current is $20$ times the rated primary current of the CT, the VA output of the CT is_________
The total impedance of the secondary winding, leads, and burden of a $5$ A CT is $0.01 \: \Omega$. If the fault current is $20$ times the rated primary current of the CT,...
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GATE Electrical 2019 | Question: 24
The rank of the matrix, $M = \begin{bmatrix} 0 &1 &1 \\ 1& 0 &1 \\ 1& 1 & 0 \end{bmatrix}$, is ______________.
The rank of the matrix, $M = \begin{bmatrix} 0 &1 &1 \\ 1& 0 &1 \\ 1& 1 & 0 \end{bmatrix}$, is ______________.
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Linear Algebra
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matrices
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GATE Electrical 2019 | Question: 25
The output voltage of a single-phase full-bridge voltage source inverter is controlled by unipolar PWM with one pulse per half cycle. For the fundamental rms Component of the output voltage to be $75 \%$ of DC voltage, the required pulse width in degrees (round off up to one decimal place) is ___________.
The output voltage of a single-phase full-bridge voltage source inverter is controlled by unipolar PWM with one pulse per half cycle. For the fundamental rms Component of...
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GATE Electrical 2019 | Question: 39
If $\textbf{A}= 2x \textbf{i} + 3y \textbf{j} +4z \textbf{k}$ and $u=x^2+y^2+z^2$, then $\text{div} \big(u \textbf{A} \big)$ at $(1,1,1)$ is _______
If $\textbf{A}= 2x \textbf{i} + 3y \textbf{j} +4z \textbf{k}$ and $u=x^2+y^2+z^2$, then $\text{div} \big(u \textbf{A} \big)$ at $(1,1,1)$ is _______
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Calculus
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GATE Electrical 2019 | Question: 40
The probability of a resistor being deflective is $0.02$. There are $50$ such resistors in a circuit. The probability of two or more defective resistors in the circuit (round off to two decimal places) is _______________
The probability of a resistor being deflective is $0.02$. There are $50$ such resistors in a circuit. The probability of two or more defective resistors in the circuit (r...
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probability-and-statistics
probability
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GATE Electrical 2019 | Question: 41
A $0.1 \mu F$ capacitor charged to $100$ V is discharged through a $1 \: k \Omega$ resistor. The time in ms (round off to two decimal places) required for the voltage across the capacitor to drop to $1$ V is _________
A $0.1 \mu F$ capacitor charged to $100$ V is discharged through a $1 \: k \Omega$ resistor. The time in ms (round off to two decimal places) required for the voltage acr...
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GATE Electrical 2019 | Question: 42
The current $I$ flowing in the circuit shown in amperes is ____________
The current $I$ flowing in the circuit shown in amperes is ____________
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GATE Electrical 2019 | Question: 43
The voltage across and the current through a load are expressed as follows $v(t)=-170 \sin \bigg( 377t- \frac{\pi}{6} \bigg) V$ $i(t) =8 \cos \bigg( 377t + \frac{\pi}{6} \bigg) A$ The average power in watts (round off to one decimal place) consumed by the load is _________.
The voltage across and the current through a load are expressed as follows$v(t)=-170 \sin \bigg( 377t- \frac{\pi}{6} \bigg) V$$i(t) =8 \cos \bigg( 377t + \frac{\pi}{6} \b...
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GATE Electrical 2019 | Question: 44
The magnetic circuit shown below has uniform cross-sectional area and air gap of $0.2$ cm. The mean path length of the core is $40$ cm. Assume that leakage and fringing fluxes are negligible. When the core relative permeability is assumed to be ... $1000$ (linear), the flux density in tesla (round off to three decimal places) calculated in the air gap is _______
The magnetic circuit shown below has uniform cross-sectional area and air gap of $0.2$ cm. The mean path length of the core is $40$ cm. Assume that leakage and fringing f...
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GATE Electrical 2019 | Question: 45
A single-phase transformer of rating $25$ kVA, supplies a $12$ kW load at power factor of $0.6$ lagging. The additional load at unity power factor in kW (round off to two decimal places) that may be added before this transformer exceeds its rated kVA is ________
A single-phase transformer of rating $25$ kVA, supplies a $12$ kW load at power factor of $0.6$ lagging. The additional load at unity power factor in kW (round off to two...
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GATE Electrical 2019 | Question: 46
A $220$ V DC shunt motor takes $3$ A at no-load. It draws $25$ A when running at full-load at $1500$ rpm. The armature and shunt resistance are $0.5 \: \Omega$ and $220 \: \Omega$, respectively. The no-load speed in rpm (round off to two decimal places) is _____.
A $220$ V DC shunt motor takes $3$ A at no-load. It draws $25$ A when running at full-load at $1500$ rpm. The armature and shunt resistance are $0.5 \: \Omega$ and $220 \...
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GATE Electrical 2019 | Question: 47
A delta-connected, $3.7$ kW, $400$ V(line), three-phase, $4$-pole, $50$-Hz squirrel-cage induction moor has the following equivalent circuit parameters per phase referred to the stator: $R_1=5.39 \: \Omega$, $R_2=5.72 \: \Omega$ ... (round off to two decimal places) when it is connected to a $100$ V(line), $10$ Hz, three-phase AC source is _______
A delta-connected, $3.7$ kW, $400$ V(line), three-phase, $4$-pole, $50$-Hz squirrel-cage induction moor has the following equivalent circuit parameters per phase referred...
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GATE Electrical 2019 | Question: 48
A $220$ V(line), three-phase, Y-connected, synchronous motor has a synchronous impedance of $(0.25+j2.5) \: \Omega/\text{phase}$. The motor draws the rated current of $10$ A at $0.8$ pf leading. The rms value of line-to-line internal voltage in volts (round off to two decimal places) is _________
A $220$ V(line), three-phase, Y-connected, synchronous motor has a synchronous impedance of $(0.25+j2.5) \: \Omega/\text{phase}$. The motor draws the rated current of $10...
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GATE Electrical 2019 | Question: 49
A three-phase $50$ Hz, $400$ kV transmission line is $300$ km long. The line inductance is $1$ mH/km per phase, and the capacitance is $0.01 \: \mu F/km$ per phase. The line is under open circuit condition at the receiving end and energized with $400$ kV at the sending end, the receiving end line voltage in kV (round off to two decimal places) will be _________
A three-phase $50$ Hz, $400$ kV transmission line is $300$ km long. The line inductance is $1$ mH/km per phase, and the capacitance is $0.01 \: \mu F/km$ per phase. The l...
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117
GATE Electrical 2019 | Question: 50
A $30$ kV, $50$ Hz, $50$ MVA generator has the positive, negative, and zero sequence reactances of $0.25$ pu, $0.15$ pu, and $0.05$ pu, respectively. The neutral of the generator is grounded with a reactance so that ... three-phase fault at the generator terminal are equal. The value of grounding reactance in ohms (round off to one decimal place) is ___________
A $30$ kV, $50$ Hz, $50$ MVA generator has the positive, negative, and zero sequence reactances of $0.25$ pu, $0.15$ pu, and $0.05$ pu, respectively. The neutral of the g...
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118
GATE Electrical 2019 | Question: 51
In the single machine infinite bus system shown below, the generator is delivering the real power of $0.8$ pu at $0.8$ power factor lagging to the infinite bus. The power angle of the generator in degrees (round off to one decimal place) is _________
In the single machine infinite bus system shown below, the generator is delivering the real power of $0.8$ pu at $0.8$ power factor lagging to the infinite bus. The power...
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GATE Electrical 2019 | Question: 52
In a $132$ kV system, the series inductance up to the point of circuit breaker location is $50$ mH. The shunt capacitance at the circuit breaker terminal is $0.05 \: \mu F$. The critical value of resistance in ohms required to be connected across the circuit breaker contacts which will give no transient oscillation is ______
In a $132$ kV system, the series inductance up to the point of circuit breaker location is $50$ mH. The shunt capacitance at the circuit breaker terminal is $0.05 \: \mu ...
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GATE Electrical 2019 | Question: 55
A single-phase fully-controlled thyristor converter is used to obtain an average voltage of $180$ V with $10$ A constant current to feed a DC load. It is fed from single-phase AC supply of $230$ V, $50$ Hz. Neglect the source impedance. The power factor (round off to two decimal places) of AC mains is _________
A single-phase fully-controlled thyristor converter is used to obtain an average voltage of $180$ V with $10$ A constant current to feed a DC load. It is fed from single-...
Arjun
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Arjun
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Feb 12, 2019
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