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Recent questions tagged gate2012ec
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GATE ECE 2012  Question: 65
$A$ 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 $1/4$ $1/16$ $7/16$ $9/16$
asked
Mar 25, 2018
in
Numerical Ability
by
Milicevic3306
(
15.8k
points)

28
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gate2012ec
numericalability
probability
0
votes
0
answers
2
GATE ECE 2012  Question: 64
The data given in the following table summarizes the monthly budget of an average household. ... $10\%$ $14\%$ $81\%$ $86\%$
asked
Mar 25, 2018
in
Numerical Ability
by
Milicevic3306
(
15.8k
points)

22
views
gate2012ec
numericalability
percentage
0
votes
0
answers
3
GATE ECE 2012  Question: 63
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 $2$ $3$ $4$ $8$
asked
Mar 25, 2018
in
Analytical Aptitude
by
Milicevic3306
(
15.8k
points)

26
views
gate2012ec
analyticalaptitude
logicalreasoning
0
votes
0
answers
4
GATE ECE 2012  Question: 62
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 $5$ $6$ $9$ $10$
asked
Mar 25, 2018
in
Numerical Ability
by
Milicevic3306
(
15.8k
points)

24
views
gate2012ec
numericalability
numericalcomputation
0
votes
0
answers
5
GATE ECE 2012  Question: 60
One of the parts $(A, B, C, D)$ in the sentence given below contains an ERROR. Which one of the following is INCORRECT? 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
asked
Mar 25, 2018
in
Verbal Ability
by
Milicevic3306
(
15.8k
points)

28
views
gate2012ec
verbalability
englishgrammar
0
votes
0
answers
6
GATE ECE 2012  Question: 61
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 them. ... seniors. The harsh discipline to which the legions were subjected to led to the odds and conditions being against them.
asked
Mar 25, 2018
in
Verbal Ability
by
Milicevic3306
(
15.8k
points)

39
views
gate2012ec
verbalability
verbalreasoning
passagereading
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votes
0
answers
7
GATE ECE 2012  Question: 59
Which one of the following options is the closest in meaning to the word given below? Latitude Eligibility Freedom Coercion Meticulousness
asked
Mar 25, 2018
in
Verbal Ability
by
Milicevic3306
(
15.8k
points)

38
views
gate2012ec
verbalability
mostappropriateword
0
votes
0
answers
8
GATE ECE 2012  Question: 56
If $(1.001)^{1259}=3.52$ and $(1.001)^{2062}=7.85,$ then $(1.001)^{3321}=?$ $2.23$ $4.33$ $11.37$ $27.64$
asked
Mar 25, 2018
in
Numerical Ability
by
Milicevic3306
(
15.8k
points)

30
views
gate2012ec
numericalability
numbersystem
0
votes
0
answers
9
GATE ECE 2012  Question: 58
Choose the most appropriate word from the options given below to complete the following sentence: Given the seriousness of the situation that he had to face, his ___ was impressive. beggary nomenclature jealousy nonchalance
asked
Mar 25, 2018
in
Verbal Ability
by
Milicevic3306
(
15.8k
points)

24
views
gate2012ec
verbalability
mostappropriateword
0
votes
0
answers
10
GATE ECE 2012  Question: 57
Choose the most appropriate alternative from the options given below to complete the following sentence: 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
asked
Mar 25, 2018
in
Verbal Ability
by
Milicevic3306
(
15.8k
points)

25
views
gate2012ec
verbalability
englishgrammar
0
votes
0
answers
11
GATE ECE 2012  Question: 53
An infinitely long uniform solid wire of radius $a$ carries a uniform dc current of density $\overrightarrow{j}$. A hole of radius $b$ (b < a) ia now drilled along the length of the wire at a distance $d$ from the center of the wire as shown ... uniform and depends only on $d$ uniform and depends only on $b$ uniform and depends only on both $b$ and $d$ non uniform
asked
Mar 25, 2018
in
Electronic Devices
by
Milicevic3306
(
15.8k
points)

66
views
gate2012ec
electronicdevices
carriertransport
0
votes
0
answers
12
GATE ECE 2012  Question: 52
An infinitely long uniform solid wire of radius $a$ carries a uniform dc current of density $\overrightarrow{j}$. The magnetic field at a distance $r$ from the center of the wire is proportional to $r$ for $r\lt a$ and $\frac{1}{r^2}$ for $r\gt a$ $0$ for $r\lt a$ ... $r\lt a$ and $\frac{1}{r}$ for $r\gt a$ $0$ for $r\lt a$ and $\frac{1}{r^2}$ for $r\gt a$
asked
Mar 25, 2018
in
Electronic Devices
by
Milicevic3306
(
15.8k
points)

24
views
gate2012ec
carriertransport
electronicdevices
0
votes
0
answers
13
GATE ECE 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 $a=1,b=2$ $a=3,b=2$ $a=3,b=1$ $a=3,b=1$
asked
Mar 25, 2018
in
Network Solution Methods
by
Milicevic3306
(
15.8k
points)

32
views
gate2012ec
networksolutionmethods
transferfunction
0
votes
0
answers
14
GATE ECE 2012  Question: 50
In the three dimensional view of a silicon nchannel MOS transistor shown below, $\delta=20\:nm$. The transistor is of width $1\: \mu m$. The depletion width formed at every pn junction is $10\:nm$. The relative permittivities of $Si$ and $SiO_2$, respectively, are ... $0.7\:fF$ $0.7\:pF$ $0.35\:fF$ $0.24\:pF$
asked
Mar 25, 2018
in
Analog Circuits
by
Milicevic3306
(
15.8k
points)

22
views
gate2012ec
analogcircuits
mostransistor
0
votes
0
answers
15
GATE ECE 2012  Question: 49
With $10\:V$ dc connected at port A in the linear nonreciprocal twoport 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, with ... $6\:V$ $7\:V$ $8\:V$ $9\:V$
asked
Mar 25, 2018
in
Network Solution Methods
by
Milicevic3306
(
15.8k
points)

31
views
gate2012ec
twoportnetwork
networksolutionmethods
0
votes
0
answers
16
GATE ECE 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 $\frac{1}{\sqrt{3}}$ rad/s
asked
Mar 25, 2018
in
Network Solution Methods
by
Milicevic3306
(
15.8k
points)

22
views
gate2012ec
networksolutionmethods
diodes
transferfunction
0
votes
0
answers
17
GATE ECE 2012  Question: 51
In the three dimensional view of a silicon nchannel MOS transistor shown below, $\delta=20\:nm$. The transistor is of width $1\: \mu m$. The depletion width formed at every pn junction is $10\:nm$. The relative permittivities of $Si$ and $SiO_2$, respectively, are ... $2\:fF$ $7\:fF$ $2\:pF$ $7\:pF$
asked
Mar 25, 2018
in
Analog Circuits
by
Milicevic3306
(
15.8k
points)

23
views
gate2012ec
analogcircuits
mostransistor
0
votes
0
answers
18
GATE ECE 2012  Question: 48
With $10\:V$ dc connected at port A in the linear nonreciprocal twoport 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 ... $\frac{3}{7}\: A$ $\frac{5}{7}\: A$ $1\: A$ $\frac{9}{7}\: A$
asked
Mar 25, 2018
in
Network Solution Methods
by
Milicevic3306
(
15.8k
points)

22
views
gate2012ec
twoportnetwork
networksolutionmethods
0
votes
0
answers
19
GATE ECE 2012  Question: 46
The maximum value of $f(x)=x^39x^2+24x+5$ in the interval $[1,6]$ is $21$ $25$ $41$ $46$
asked
Mar 25, 2018
in
Calculus
by
Milicevic3306
(
15.8k
points)

17
views
gate2012ec
calculus
maximaminima
0
votes
0
answers
20
GATE ECE 2012  Question: 45
If $V_AV_B=6\:V$, then $V_CV_D$ is $5\:V$ $2\:V$ $3\:V$ $6\:V$
asked
Mar 25, 2018
in
Others
by
Milicevic3306
(
15.8k
points)

21
views
gate2012ec
tobetagged
0
votes
0
answers
21
GATE ECE 2012  Question: 42
Let $y[n]$ denote the convolution of $h[n]$ and $g[n]$, where $h[n]=(\frac{1}{2})^nu[n]$ and $g[n]$ is a casual sequence. If $y[0]=1$ and $y[1]=\frac{1}{2}$, then $g[1]$ equals $0$ $\frac{1}{2}$ $1$ $\frac{3}{2}$
asked
Mar 25, 2018
in
Continuoustime Signals
by
Milicevic3306
(
15.8k
points)

23
views
gate2012ec
continuoustimesignals
signalsandsystems
convolution
0
votes
0
answers
22
GATE ECE 2012  Question: 43
The state transition diagram for the logic circuit shown is
asked
Mar 25, 2018
in
Digital Circuits
by
Milicevic3306
(
15.8k
points)

33
views
gate2012ec
digitalcircuits
0
votes
0
answers
23
GATE ECE 2012  Question: 44
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$ $\mid A_v \mid \approx 10$
asked
Mar 25, 2018
in
Analog Circuits
by
Milicevic3306
(
15.8k
points)

25
views
gate2012ec
analogcircuits
0
votes
0
answers
24
GATE ECE 2012  Question: 47
Given that $A=\begin{bmatrix} 5 &3 \\ 2 &0\end{bmatrix}$ and $I=\begin{bmatrix} 1 & 0 \\ 0 &1\end{bmatrix}$, the value of $A^3$ is $15\:A+12\:I$ $19\:A+30\:I$ $17\:A+15\:I$ $17\:A+21\:I$
asked
Mar 25, 2018
in
Linear Algebra
by
Milicevic3306
(
15.8k
points)

23
views
gate2012ec
linearalgebra
matrices
0
votes
0
answers
25
GATE ECE 2012  Question: 38
A binary symmetric channel (BSC) has a transition probability of $\frac{1}{8}$. If the binary transmit symbol $X$ is such that $P(X=0)\:=\:\frac{9}{10}$, then the probability of error for an optimum receiver will be $\frac{7}{80}$ $\frac{63}{80}$ $\frac{9}{10}$ $\frac{1}{10}$
asked
Mar 25, 2018
in
Probability and Statistics
by
Milicevic3306
(
15.8k
points)

49
views
gate2012ec
probabilityandstatistics
probability
0
votes
1
answer
26
GATE ECE 2012  Question: 36
A fair coin is tossed till head appears for the first time. The probability that the number of required tosses is odd, is $\frac{1}{3}$ $\frac{1}{2}$ $\frac{2}{3}$ $\frac{3}{4}$
asked
Mar 25, 2018
in
Probability and Statistics
by
Milicevic3306
(
15.8k
points)

37
views
gate2012ec
probabilityandstatistics
probability
0
votes
0
answers
27
GATE ECE 2012  Question: 35
The direction of vector $A$ is radially outward from the origin, with $A=kr^n$ where $r^2=x^2+y^2+z^2$ and $k$ is a constant. The value of $n$ for which $\triangledown.A=0$ is $2$ $2$ $1$ $0$
asked
Mar 25, 2018
in
Vector Analysis
by
Milicevic3306
(
15.8k
points)

40
views
gate2012ec
vectoranalysis
0
votes
0
answers
28
GATE ECE 2012  Question: 41
The circuit shown is a low pass filter with $f_{3\:dB}=\frac{1}{(R_1+R_2)C}\: rad/s$ high pass filter with $f_{3\:dB}=\frac{1}{R_1C}\: rad/s$ low pass filter with $f_{3\:dB}=\frac{1}{R_1C}\: rad/s$ high pass filter with $f_{3\:dB}=\frac{1}{(R_1+R_2)C}\: rad/s$
asked
Mar 25, 2018
in
Continuoustime Signals
by
Milicevic3306
(
15.8k
points)

29
views
gate2012ec
continuoustimesignals
digitalfilterdesigntechniques
0
votes
0
answers
29
GATE ECE 2012  Question: 39
The signal $m(t)$ as shown is applied both to a phase modulator (with $k_p$ as the phase constant) and a frequency modulator (with $k_f$ as the frequency constant) having the same carrier frequency. The ratio $\frac{k_p}{k_f}$ (in $rad/Hz$) for the same maximum phase deviation is $8\pi$ $4\pi$ $2\pi$ $\pi$
asked
Mar 25, 2018
in
Communications
by
Milicevic3306
(
15.8k
points)

41
views
gate2012ec
communications
frequencymodulation
0
votes
0
answers
30
GATE ECE 2012  Question: 37
In the CMOS circuit shown, electron and hole mobilities are equal, and $M1$ and $M2$ are equally sized. The device $M1$ is in the linear region if $V_{in}\lt 1.875\:V$ $1.875\:V\lt V_{in}\lt 3.125\:V$ $V_{in}\gt 3.125\:V$ $0\lt V_{in}\lt 5\:V$
asked
Mar 25, 2018
in
Electronic Devices
by
Milicevic3306
(
15.8k
points)

21
views
gate2012ec
electronicdevices
cmos
0
votes
0
answers
31
GATE ECE 2012  Question: 40
The magnetic field along the propagation direction inside a rectangular waveguide with the crosssection shown in the figure is $H_Z=3\:\cos(2.094\times10^2x)\:\cos(2.618\times10^2y)\:\cos(6.283\times10^{10}t\beta z)$ The phase velocity $v_p$ of the wave inside the waveguide satisfies $v_p\gt c$ $v_p=c$ $0\lt v_p\lt c$ $v_p=0$
asked
Mar 25, 2018
in
Electromagnetics
by
Milicevic3306
(
15.8k
points)

57
views
gate2012ec
electromagnetics
propagation
0
votes
0
answers
32
GATE ECE 2012  Question: 27
A BPSK scheme operating over an AWGN channel with noise power spectral density of $\frac{N_o}{2}$, uses equiprobable signals $s_1(t)=\sqrt{\frac{2E}{T}}\sin(\omega_ct)$ and $s_2(t)=\sqrt{\frac{2E}{T}}\sin(\omega_ct)$ over the symbol interval $(0,T)$. If the local oscillator ... $Q(\sqrt{\frac{E}{N_o}})$ $Q(\sqrt{\frac{E}{2N_o}})$ $Q(\sqrt{\frac{E}{4N_o}})$
asked
Mar 25, 2018
in
Communications
by
Milicevic3306
(
15.8k
points)

30
views
gate2012ec
communications
autocorrelationandpowerspectraldensity
0
votes
0
answers
33
GATE ECE 2012  Question: 32
The state variable description of an LTI system is given by ... $a_1\neq 0,a_2=0,a_3\neq 0$ $a_1=0,a_2\neq0,a_3\neq 0$ $a_1=0,a_2\neq0,a_3=0$ $a_1\neq 0,a_2\neq0,a_3=0$
asked
Mar 25, 2018
in
Continuoustime Signals
by
Milicevic3306
(
15.8k
points)

29
views
gate2012ec
continuoustimesignals
signalsandsystems
lineartimeinvariantsystems
0
votes
0
answers
34
GATE ECE 2012  Question: 34
Consider the differential equation $\frac{d^2y(t)}{dt^2}+2\frac{dy(t)}{dt}+y(t)=\delta(t)$ with $y(t)\big_{t=0^}=2$ and $\frac{dy}{dt}\big_{t=0^}=0$. The numerical value of $\frac{dy}{dt}\big_{t=0^+}$ is $2$ $1$ $0$ $1$
asked
Mar 25, 2018
in
Differential Equations
by
Milicevic3306
(
15.8k
points)

27
views
gate2012ec
differentialequations
0
votes
0
answers
35
GATE ECE 2012  Question: 30
The feedback system shown below oscillates at $2\:rad/s$ when $K=2$ and $a=0.75$ $K=3$ and $a=0.75$ $K=4$ and $a=0.5$ $K=2$ and $a=0.5$
asked
Mar 25, 2018
in
Analog Circuits
by
Milicevic3306
(
15.8k
points)

18
views
gate2012ec
analogcircuits
oscillator
0
votes
0
answers
36
GATE ECE 2012  Question: 29
The input $x(t)$ and output $y(t)$ of a system are related as $y(t)=\underset{\infty}{\int}x(\tau)\cos(3\tau)d\tau$. The system is timeinvariant and stable stable and not timeinvariant timeinvariant and not stable not timeinvariant and not stable
asked
Mar 25, 2018
in
Analog Circuits
by
Milicevic3306
(
15.8k
points)

25
views
gate2012ec
analogcircuits
0
votes
0
answers
37
GATE ECE 2012  Question: 28
A trasmission line with a characteristic impedance of $100\:\Omega$ is used to match a $50\:\Omega$ section to a $200\:\Omega$ section. If the matching is to be done both at $429\:MHz$ and $1\:GHz$, the length of the transmission line can be approximately $82.5\:cm$ $1.05\:m$ $1.58\:m$ $1.75\:m$
asked
Mar 25, 2018
in
Electromagnetics
by
Milicevic3306
(
15.8k
points)

18
views
gate2012ec
electromagnetics
transmissionlines
0
votes
0
answers
38
GATE ECE 2012  Question: 31
The Fourier transform of a signal $h(t)$ is $H(j\omega)=(2\cos\omega)(\sin2\omega)/\omega$. The value of $h(0)$ is $\frac{1}{4}$ $\frac{1}{2}$ $1$ $2$
asked
Mar 25, 2018
in
Continuoustime Signals
by
Milicevic3306
(
15.8k
points)

25
views
gate2012ec
continuoustimesignals
signalsandsystems
fouriertransform
0
votes
0
answers
39
GATE ECE 2012  Question: 33
Assuming both the voltage sources are in phase, the value of $R$ for which maximum power is transferred from circuit $A$ to circuit $B$ is $0.8\:\Omega$ $1.4\:\Omega$ $2\:\Omega$ $2.8\:\Omega$
asked
Mar 25, 2018
in
Analog Circuits
by
Milicevic3306
(
15.8k
points)

26
views
gate2012ec
analogcircuits
0
votes
0
answers
40
GATE ECE 2012  Question: 24
Two independent random variables $X$ and $Y$ are uniformly distributed in the interval $[1,1]$. The probability that max$[X,Y]$ is less than $\frac{1}{2}$ is $\frac{3}{4}$ $\frac{9}{16}$ $\frac{1}{4}$ $\frac{2}{3}$
asked
Mar 25, 2018
in
Probability and Statistics
by
Milicevic3306
(
15.8k
points)

22
views
gate2012ec
probabilityandstatistics
probability
independentevents
randomvariable
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