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Recent questions tagged gate2013ec
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0
answers
1
GATE201365
What is the chance that a leap year, selected at random, will contain $53$ Saturdays? $2/7$ $3/7$ $1/7$ $5/7$
asked
Mar 26, 2018
in
Numerical Ability
by
Milicevic3306
(
15.7k
points)
gate2013ec
numericalability
probability
leapyear
0
votes
0
answers
2
GATE201364
The set of values of $p$ for which the roots of the equation $3x^2+2x+p(p1)=0$ are of opposite sign is $(\infty ,0)$ $(0,1)$ $(1,\infty )$ $(0,\infty )$
asked
Mar 26, 2018
in
Numerical Ability
by
Milicevic3306
(
15.7k
points)
gate2013ec
numericalability
quadraticequations
roots
0
votes
0
answers
3
GATE201363
Statement: There were different streams of freedom movements in colonial India carried out by the moderates, liberals, radicals, socialists, and so on. Which one of the following is the best inference from the above statement? The emergence of ... . Nationalism in India emerged in the context of colonialism. Nationalism in India is homogeneous. Nationalism in India is heterogeneous.
asked
Mar 26, 2018
in
Verbal Ability
by
Milicevic3306
(
15.7k
points)
gate2013ec
verbalability
verbalreasoning
0
votes
0
answers
4
GATE201362
Find the sum to $n$ terms of the series $10+84+ 734 +\dots $ $\frac{9(9^n+1)}{10}+1$ $\frac{9(9^n1)}{8}+1$ $\frac{9(9^n1)}{8}+n$ $\frac{9(9^n1)}{8}+n^2$
asked
Mar 26, 2018
in
Numerical Ability
by
Milicevic3306
(
15.7k
points)
gate2013ec
numericalability
sequenceseries
0
votes
0
answers
5
GATE201360
They were requested not to $\textbf{quarrel}$ with others. Which one of the following options is the closest in meaning to the word $\textbf{quarrel}$? make out call out dig out fall out
asked
Mar 26, 2018
in
Verbal Ability
by
Milicevic3306
(
15.7k
points)
gate2013ec
verbalability
englishgrammar
0
votes
0
answers
6
GATE201359
Complete the sentence: Dare _______________ mistakes. commit to commit committed committing
asked
Mar 26, 2018
in
Verbal Ability
by
Milicevic3306
(
15.7k
points)
gate2013ec
verbalability
englishgrammar
0
votes
0
answers
7
GATE201358
In the summer of $2012,$ in New Delhi, the mean temperature of Monday to Wednesday was $41^{\circ}C$ and of Tuesday to Thursday was $43^{\circ}C$. If the temperature on Thursday was $15\%$ higher than that of Monday, then the temperature in $^{\circ}C$ on Thursday was $40$ $43$ $46$ $49$
asked
Mar 26, 2018
in
Numerical Ability
by
Milicevic3306
(
15.7k
points)
gate2013ec
numericalability
percentage
0
votes
0
answers
8
GATE201357
Statement: You can always give me a ring whenever you need. Which one of the following is the best inference from the above statement? Because I have a nice caller tune. Because I have a better telephone facility. Because a friend in need is a friend indeed. Because you need not pay towards the telephone bills when you give me a ring.
asked
Mar 26, 2018
in
Verbal Ability
by
Milicevic3306
(
15.7k
points)
gate2013ec
verbalability
verbalreasoning
0
votes
0
answers
9
GATE201356
Choose the grammatically CORRECT sentence: Two and two add four. Two and two become four. Two and two are four. Two and two make four.
asked
Mar 26, 2018
in
Verbal Ability
by
Milicevic3306
(
15.7k
points)
gate2013ec
verbalability
englishgrammar
0
votes
0
answers
10
GATE201361
A car travels $8 \: km$ in the first quarter of an hour, $6\: km$ in the second quarter and $16\: km$ in the third quarter. The average speed of the car in $km$ per hour over the entire journey is $30$ $36$ $40$ $24$
asked
Mar 26, 2018
in
Numerical Ability
by
Milicevic3306
(
15.7k
points)
gate2013ec
numericalability
timespeeddistance
0
votes
0
answers
11
GATE201355
The state diagram of a system is shown below. A system is described by the statevariable equations $\dot{X}= AX+Bu;\:\: y = CX+Du$ The state transition matrix $e^{At}$ of the system shown in the figure above is $\begin{bmatrix} e^{t}& 0\\te^{t} &e^{t} \end{bmatrix}$ ... $\begin{bmatrix} e^{t}&te^{t} \\ 0 &e^{t} \end{bmatrix}$
asked
Mar 26, 2018
in
Linear Algebra
by
Milicevic3306
(
15.7k
points)
gate2013ec
linearalgebra
matrix
0
votes
0
answers
12
GATE201349
Bits $1$ and $0$ are transmitted with equal probability. At the receiver, the pdf of the respective received signals for both bits are as shown below. The optimum threshold to achieve minimum bit error rate $(BER)$ is $\frac{1}{2} \\$ $\frac{4}{5} \\$ $1\\$ $\frac{3}{2} $
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2013ec
neworks
0
votes
0
answers
13
GATE201350
Consider the following figure The current $I_{S}$ in $\text{Amps}$ in the voltage source, and voltage $V_{S}$ in Volts across the current source respectively, are $13, − 20$ $8, − 10$ $− 8, 20$ $− 13, 20$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2013ec
electronicdevices
0
votes
0
answers
14
GATE201352
A monochromatic plane wave of wavelength $\lambda = 600 \mu m$ is propagating in the direction as shown in the figure below. $\vec{E_{i}},\vec{E_{r}},$ and $\vec{E_{t}}$ denote incident, reflected, and transmitted electric field vectors associated with the wave. The angle of incidence $\theta_{i}$ and ...
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2013ec
vectoranalysis
0
votes
0
answers
15
GATE201353
A monochromatic plane wave of wavelength $\lambda = 600 \mu m$ is propagating in the direction as shown in the figure below. $\vec{E_{i}},\vec{E_{r}},$ and $\vec{E_{t}}$ denote incident, reflected, and transmitted electric field vectors associated with the wave. The expression for $\vec{E_{r}}$ ...
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2013ec
vectoranalysis
0
votes
0
answers
16
GATE201351
Consider the following figure The current in the $1\Omega$ resistor in $\text{Amps}$ is $2$ $3.33$ $10$ $12$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2013ec
electronicdevices
0
votes
0
answers
17
GATE201354
The state diagram of a system is shown below. A system is described by the statevariable equations $\dot{X}= AX+Bu;\:\: y = CX+Du$ ...
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2013ec
networks
signalsandsystems
0
votes
0
answers
18
GATE201347
Let $U$ and $V$ be two independent and identically distributed random variables such that $P(U=+1)=P(U=1) = \dfrac{1}{2}.$ The entropy $H(U + V)$ in bits is $\frac{3}{4} \\$ $1$ $\frac{3}{2} \\$ $\log_{2}3$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2013ec
comunications
0
votes
0
answers
19
GATE201343
A voltage $1000 \sin\omega t\:\: \text{Volts}$ is applied across $YZ.$ Assuming ideal diodes, the voltage measured across $WX$ in $\text{Volts},$ is $\sin \omega t$ $(\sin \omega t \:+ \mid \sin \omega t \mid)/2$ $(\sin \omega t \:  \mid \sin \omega t \mid)/2$ $0$ for all $t$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2013ec
analogcircuits
networks
0
votes
0
answers
20
GATE201344
Three capacitors $C_{1}, C_{2}$ and $C_{3}$ whose values are $10\mu F, 5\mu F,$ and $2\mu F$ respectively, have breakdown voltages of $10V, 5V,$ and $2V$ respectively. For the interconnection shown below, the maximum safe voltage in Volts that can be applied across ... effective capacitance across the terminals are respectively, $2.8$ and $36$ $7$ and $119$ $2.8$ and $32$ $7$ and $80$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2013ec
electronicdevices
0
votes
0
answers
21
GATE201348
Bits $1$ and $0$ are transmitted with equal probability. At the receiver, the pdf of the respective received signals for both bits are as shown below. If the detection threshold is $1,$ the $BER$ will be $\frac{1}{2} \\ $ $\frac{1}{4} \\$ $\frac{1}{8} \\$ $\frac{1}{16}$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2013ec
networks
0
votes
0
answers
22
GATE201345
There are four chips each of $1024\:\text{bytes}$ connected to a $16\:\text{bit}$ address bus as shown in the figure below. $RAMs\: 1, 2, 3$ and $4$ respectively are mapped to addresses $0C00H0FFFH, 1C00H1FFFH, 2C00H2FFFH, 3C00H3FFFH$ ... $0500H08FFH, 1500H18FFH, 3500H38FFH, 5500H58FFH$ $0800H0BFFH, 1800H1BFFH, 2800H2BFFH, 3800H3BFFH$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2013ec
digitalcircuits
0
votes
0
answers
23
GATE201346
In the circuit shown below, the silicon $npn$ transistor $Q$ has a very high value of $\beta.$ The required value of $R_{2}$ in $k\Omega$ to produce $I_{C} = 1\: mA$ is $20$ $30$ $40$ $50$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2013ec
electronicdevices
0
votes
0
answers
24
GATE201342
In the circuit shown below, $Q_{1}$ has negligible collectortoemitter saturation voltage and the diode drops negligible voltage across it under forward bias. If $V_{cc}$ is $+5 V, X$ and $Y$ are digital signals with $0\: V$ as logic $0$ and $V_{cc}$ as logic $1,$ then the Boolean expression for $Z$ is $XY$ $\overline{X}Y$ $X\overline{Y}$ $\overline{XY}$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2013ec
analogcircuits
networks
0
votes
0
answers
25
GATE201341
In the circuit shown below the $\text{opamps}$ are ideal. Then $V_{\text{out}}$ in $\text{Volts}$ is $4$ $6$ $8$ $10$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2013ec
analogcircuits
electronicdevices
0
votes
0
answers
26
GATE201337
A system described by a linear, constant coefficient, ordinary, first order differential equation has an exact solution given by $y(t)$ for $t>0,$ when the forcing function is $x(t)$ and the initial condition is $y(0).$ If one wishes to modify the system so that ... the forcing function to $j\sqrt{2}x(t)$ change the initial condition to $−2y(0)$ and the forcing function to $−2x(t)$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2013ec
networks
0
votes
0
answers
27
GATE201338
Consider two identically distributed zeromean random variables $U$ and $V.$ Let the cumulative distribution functions of $U$ and $2V$ be $F(x)$ and $G(x)$ respectively. Then, for all values of $x$ $F(x)  G(x) \leq 0$ $F(x)  G(x) \geq 0$ $(F(x)  G(x)) \cdot x\leq 0$ $(F(x)  G(x)) \cdot x\geq 0$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2013ec
probability
0
votes
0
answers
28
GATE201340
The signal flow graph for a system is given below. The transfer function $\dfrac{Y(s)}{U(s)}$ for this system is $\frac{s+1}{5s^{2}+6s+2} \\$ $\frac{s+1}{s^{2}+6s+2} \\$ $\frac{s+1}{s^{2}+4s+2} \\$ $\frac{1}{5s^{2}+6s+2}$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2013ec
controlsystems
0
votes
0
answers
29
GATE201335
The ac schematic of an $NMOS$ commonsource stage is shown in the figure below, where part of the biasing circuits has been omitted for simplicity. For the $n$channel $MOSFET\: M,$ the transconductance $g_{m} = 1\; mA/V,$ and body effect and channel length modulation effect are to be neglected. The lower cutoff frequency in $Hz$ of the circuit is approximately at $8$ $32$ $50$ $200$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2013ec
electronicdevices
0
votes
0
answers
30
GATE201336
A system is described by the differential equation $\dfrac{\mathrm{d}^{2} y}{\mathrm{d} x} + 5\dfrac{\mathrm{d}y }{\mathrm{d} x} + 6y(t) = x(t).$ Let $x(t)$ be a rectangular pulse given by $x(t) = \begin{cases} 1&0<t<2 \\ 0&\text{otherwise} \end{cases}$ Assuming that $y(0) = 0$ and ... $\frac{e^{2s}}{(s+2)(s+3)} \\$ $\frac{1e^{2s}}{s(s+2)(s+3)} $
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2013ec
differentialequations
0
votes
0
answers
31
GATE201339
The $\text{DFT}$ of a vector $\begin{bmatrix} a & b & c & d \end{bmatrix}$ is the vector $\begin{bmatrix} \alpha & \beta & \gamma & \delta \end{bmatrix}.$ ... $\begin{bmatrix} \alpha & \beta & \gamma & \delta \end{bmatrix}$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2013ec
vectoranalysis
0
votes
0
answers
32
GATE201331
The following arrangement consists of an ideal transformer and an attenuator which attenuates by a factor of $0.8.$ An ac voltage $V_{WX1} = 100V$ is applied across $WX$ to get an open circuit voltage $V_{YZ1}$ across $YZ.$ Next, an ac voltage $V_{YZ2}= 100V$ is applied across ... respectively, $125/100$ and $80/100$ $100/100$ and $80/100$ $100/100$ and $100/100$ $80/100$ and $80/100$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2013ec
electronicdevices
networks
electricalengineering
0
votes
0
answers
33
GATE201330
In the circuit shown below, the knee current of the ideal Zener diode is $10\: mA.$ To maintain $5\: V$ across $R_{L},$ the minimum value of $R_{L}$ in $\Omega$ and the minimum power rating of the Zener diode in $mW,$ respectively, are $125$ and $125$ $125$ and $250$ $250$ and $125$ $250$ and $250$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2013ec
electronicdevices
0
votes
0
answers
34
GATE201329
The openloop transfer function of a dc motor is given as $\dfrac{\omega(s)}{V_{a}(s)} = \dfrac{10}{1+10s}.$ When connected in feedback as shown below, the approximate value of $K_{a}$ that will reduce the time constant of the closed loop system by one hundred times as compared to that of the openloop system is $1$ $5$ $10$ $100$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2013ec
networks
electricalengineering
0
votes
0
answers
35
GATE201332
Two magnetically uncoupled inductive coils have $Q$ factors $q_{1}$ and $q_{2}$ at the chosen operating frequency. Their respective resistances are $R_{1}$ and $R_{2}.$ When connected in series, their effective $Q$ factor at the same operating frequency is $q_{1} + q_{2}$ $(1/q_{1}) + (1/q_{2})$ $(q_{1}R_{1} + q_{2}R_{2})/(R_{1} + R_{2})$ $(q_{1}R_{2} + q_{2}R_{1})/(R_{1} + R_{2})$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2013ec
networks
digitalcircuits
0
votes
0
answers
36
GATE201333
The impulse response of a continuous time system is given by $h(t) = \delta(t1) + \delta(t3).$ The value of the step response at $t = 2$ is $0$ $1$ $2$ $3$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2013ec
continuoustimesignals
0
votes
0
answers
37
GATE201334
The smallsignal resistance $(i.e., dV_{B}/dI_{D})$ in $k\Omega$ offered by the $n$channel $MOSFET\: M$ shown in the figure below, at a bias point of $V_{B} = 2\: V$ is (device data for $M:$ ... $V_{TN} = 1\: V,$ and neglect body effect and channel length modulation effects) $12.5$ $25$ $50$ $100$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2013ec
networks
signalsandsystems
0
votes
0
answers
38
GATE201324
The return loss of a device is found to be $20\:dB.$ The voltage standing wave ratio (VSWR) and magnitude of reflection coefficient are respectively $1.22$ and $0.1$ $0.81$ and $0.1$ $1.22$ and $0.1$ $2.44$ and $0.2$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2013ec
electronicdevices
0
votes
0
answers
39
GATE201325
Let $g(t) = e^{\pi t^{2}},$ and $h(t)$ is a filter matched to $g(t).$ If $g(t)$ is applied as input to $h(t),$ then the Fourier transformation of the output is $ e^{\pi f^{2}}$ $ e^{\pi f^{2}/ 2}$ $ e^{\pi \mid f \mid }$ $ e^{2\pi f^{2}}$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2013ec
networks
0
votes
0
answers
40
GATE201328
In the circuit shown below, if the source voltage $V_S = 100\angle 53.13^{\circ}\: V$ then the Thevenin’s equivalent voltage in Volts as seen by the load resistance $R_{L}$ is $100\angle 90^{\circ}$ $800\angle 0^{\circ}$ $800\angle 90^{\circ}$ $100\angle 60^{\circ}$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2013ec
networks
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