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Recent questions tagged gate2012-ec
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1
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 $1/4$ $1/16$ $7/16$ $9/16$
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Numerical Ability
Mar 25, 2018
by
Milicevic3306
15.8k
points
43
views
gate2012-ec
numerical-ability
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. ... $10\%$ $14\%$ $81\%$ $86\%$
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Numerical Ability
Mar 25, 2018
by
Milicevic3306
15.8k
points
34
views
gate2012-ec
numerical-ability
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 $2$ $3$ $4$ $8$
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Analytical Aptitude
Mar 25, 2018
by
Milicevic3306
15.8k
points
49
views
gate2012-ec
analytical-aptitude
logical-reasoning
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 $5$ $6$ $9$ $10$
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Numerical Ability
Mar 25, 2018
by
Milicevic3306
15.8k
points
49
views
gate2012-ec
numerical-ability
numerical-computation
0
votes
0
answers
5
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.
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in
Verbal Ability
Mar 25, 2018
by
Milicevic3306
15.8k
points
52
views
gate2012-ec
verbal-ability
verbal-reasoning
passage-reading
0
votes
0
answers
6
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
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Verbal Ability
Mar 25, 2018
by
Milicevic3306
15.8k
points
42
views
gate2012-ec
verbal-ability
english-grammar
0
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
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in
Verbal Ability
Mar 25, 2018
by
Milicevic3306
15.8k
points
48
views
gate2012-ec
verbal-ability
most-appropriate-word
0
votes
0
answers
8
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
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asked
in
Verbal Ability
Mar 25, 2018
by
Milicevic3306
15.8k
points
40
views
gate2012-ec
verbal-ability
english-grammar
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
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asked
in
Verbal Ability
Mar 25, 2018
by
Milicevic3306
15.8k
points
43
views
gate2012-ec
verbal-ability
most-appropriate-word
0
votes
0
answers
10
GATE ECE 2012 | Question: 56
If $(1.001)^{1259}=3.52$ and $(1.001)^{2062}=7.85,$ then $(1.001)^{3321}=?$ $2.23$ $4.33$ $11.37$ $27.64$
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asked
in
Numerical Ability
Mar 25, 2018
by
Milicevic3306
15.8k
points
43
views
gate2012-ec
numerical-ability
number-system
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
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in
Electronic Devices
Mar 25, 2018
by
Milicevic3306
15.8k
points
134
views
gate2012-ec
electronic-devices
carrier-transport
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 $r\gt a$
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asked
in
Electronic Devices
Mar 25, 2018
by
Milicevic3306
15.8k
points
52
views
gate2012-ec
carrier-transport
electronic-devices
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 $a=1,b=2$ $a=3,b=2$ $a=-3,b=-1$ $a=3,b=1$
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Network Solution Methods
Mar 25, 2018
by
Milicevic3306
15.8k
points
55
views
gate2012-ec
network-solution-methods
transfer-function
0
votes
0
answers
14
GATE ECE 2012 | Question: 49
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, with ... $6\:V$ $7\:V$ $8\:V$ $9\:V$
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asked
in
Network Solution Methods
Mar 25, 2018
by
Milicevic3306
15.8k
points
65
views
gate2012-ec
two-port-network
network-solution-methods
0
votes
0
answers
15
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
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asked
in
Network Solution Methods
Mar 25, 2018
by
Milicevic3306
15.8k
points
35
views
gate2012-ec
network-solution-methods
diodes
transfer-function
0
votes
0
answers
16
GATE ECE 2012 | Question: 50
In the three dimensional view of a silicon n-channel MOS transistor shown below, $\delta=20\:nm$. The transistor is of width $1\: \mu m$. The depletion width formed at every p-n junction is $10\:nm$. The relative permittivities of $Si$ and $SiO_2$, respectively, are ... $0.7\:fF$ $0.7\:pF$ $0.35\:fF$ $0.24\:pF$
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Analog Circuits
Mar 25, 2018
by
Milicevic3306
15.8k
points
48
views
gate2012-ec
analog-circuits
mos-transistor
0
votes
0
answers
17
GATE ECE 2012 | Question: 51
In the three dimensional view of a silicon n-channel MOS transistor shown below, $\delta=20\:nm$. The transistor is of width $1\: \mu m$. The depletion width formed at every p-n junction is $10\:nm$. The relative permittivities of $Si$ and $SiO_2$, respectively, are ... $2\:fF$ $7\:fF$ $2\:pF$ $7\:pF$
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in
Analog Circuits
Mar 25, 2018
by
Milicevic3306
15.8k
points
43
views
gate2012-ec
analog-circuits
mos-transistor
0
votes
0
answers
18
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 $15\:A+12\:I$ $19\:A+30\:I$ $17\:A+15\:I$ $17\:A+21\:I$
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Linear Algebra
Mar 25, 2018
by
Milicevic3306
15.8k
points
34
views
gate2012-ec
linear-algebra
matrices
0
votes
0
answers
19
GATE ECE 2012 | Question: 46
The maximum value of $f(x)=x^3-9x^2+24x+5$ in the interval $[1,6]$ is $21$ $25$ $41$ $46$
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Calculus
Mar 25, 2018
by
Milicevic3306
15.8k
points
27
views
gate2012-ec
calculus
maxima-minima
0
votes
0
answers
20
GATE ECE 2012 | Question: 45
If $V_A-V_B=6\:V$, then $V_C-V_D$ is $-5\:V$ $2\:V$ $3\:V$ $6\:V$
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Others
Mar 25, 2018
by
Milicevic3306
15.8k
points
33
views
gate2012-ec
to-be-tagged
0
votes
0
answers
21
GATE ECE 2012 | Question: 43
The state transition diagram for the logic circuit shown is
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Digital Circuits
Mar 25, 2018
by
Milicevic3306
15.8k
points
53
views
gate2012-ec
digital-circuits
0
votes
0
answers
22
GATE ECE 2012 | Question: 48
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 ... $\frac{3}{7}\: A$ $\frac{5}{7}\: A$ $1\: A$ $\frac{9}{7}\: A$
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in
Network Solution Methods
Mar 25, 2018
by
Milicevic3306
15.8k
points
55
views
gate2012-ec
two-port-network
network-solution-methods
0
votes
0
answers
23
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 $0$ $\frac{1}{2}$ $1$ $\frac{3}{2}$
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in
Continuous-time Signals
Mar 25, 2018
by
Milicevic3306
15.8k
points
35
views
gate2012-ec
continuous-time-signals
signals-and-systems
convolution
0
votes
0
answers
24
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$ $\mid A_v \mid \approx 10$
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Analog Circuits
Mar 25, 2018
by
Milicevic3306
15.8k
points
42
views
gate2012-ec
analog-circuits
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 $\frac{7}{80}$ $\frac{63}{80}$ $\frac{9}{10}$ $\frac{1}{10}$
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Probability and Statistics
Mar 25, 2018
by
Milicevic3306
15.8k
points
104
views
gate2012-ec
probability-and-statistics
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 $\frac{1}{3}$ $\frac{1}{2}$ $\frac{2}{3}$ $\frac{3}{4}$
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Probability and Statistics
Mar 25, 2018
by
Milicevic3306
15.8k
points
65
views
gate2012-ec
probability-and-statistics
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 $-2$ $2$ $1$ $0$
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Vector Analysis
Mar 25, 2018
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Milicevic3306
15.8k
points
99
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gate2012-ec
vector-analysis
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 $f_{3\:dB}=\frac{1}{(R_1+R_2)C}\: rad/s$
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Continuous-time Signals
Mar 25, 2018
by
Milicevic3306
15.8k
points
64
views
gate2012-ec
continuous-time-signals
digital-filter-design-techniques
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 $8\pi$ $4\pi$ $2\pi$ $\pi$
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Communications
Mar 25, 2018
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Milicevic3306
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75
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gate2012-ec
communications
frequency-modulation
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 $V_{in}\lt 1.875\:V$ $1.875\:V\lt V_{in}\lt 3.125\:V$ $V_{in}\gt 3.125\:V$ $0\lt V_{in}\lt 5\:V$
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Electronic Devices
Mar 25, 2018
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Milicevic3306
15.8k
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35
views
gate2012-ec
electronic-devices
cmos
0
votes
0
answers
31
GATE ECE 2012 | Question: 40
The magnetic field along the propagation direction inside a rectangular waveguide with the cross-section 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 $v_p\gt c$ $v_p=c$ $0\lt v_p\lt c$ $v_p=0$
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Electromagnetics
Mar 25, 2018
by
Milicevic3306
15.8k
points
117
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gate2012-ec
electromagnetics
propagation
0
votes
0
answers
32
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 $-2$ $-1$ $0$ $1$
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Differential Equations
Mar 25, 2018
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Milicevic3306
15.8k
points
53
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gate2012-ec
differential-equations
0
votes
0
answers
33
GATE ECE 2012 | Question: 32
The state variable description of an LTI system is given by ... $a_1\neq 0,a_2=0,a_3\neq 0$ $a_1=0,a_2\neq0,a_3\neq 0$ $a_1=0,a_2\neq0,a_3=0$ $a_1\neq 0,a_2\neq0,a_3=0$
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Continuous-time Signals
Mar 25, 2018
by
Milicevic3306
15.8k
points
47
views
gate2012-ec
continuous-time-signals
signals-and-systems
linear-time-invariant-systems
0
votes
0
answers
34
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 ... $Q(\sqrt{\frac{E}{N_o}})$ $Q(\sqrt{\frac{E}{2N_o}})$ $Q(\sqrt{\frac{E}{4N_o}})$
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Communications
Mar 25, 2018
by
Milicevic3306
15.8k
points
45
views
gate2012-ec
communications
autocorrelation-and-power-spectral-density
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 $a=0.5$
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Analog Circuits
Mar 25, 2018
by
Milicevic3306
15.8k
points
36
views
gate2012-ec
analog-circuits
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 time-invariant and stable stable and not time-invariant time-invariant and not stable not time-invariant and not stable
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Analog Circuits
Mar 25, 2018
by
Milicevic3306
15.8k
points
38
views
gate2012-ec
analog-circuits
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 $82.5\:cm$ $1.05\:m$ $1.58\:m$ $1.75\:m$
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Electromagnetics
Mar 25, 2018
by
Milicevic3306
15.8k
points
29
views
gate2012-ec
electromagnetics
transmission-lines
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 $\frac{1}{4}$ $\frac{1}{2}$ $1$ $2$
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Continuous-time Signals
Mar 25, 2018
by
Milicevic3306
15.8k
points
45
views
gate2012-ec
continuous-time-signals
signals-and-systems
fourier-transform
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 $0.8\:\Omega$ $1.4\:\Omega$ $2\:\Omega$ $2.8\:\Omega$
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Analog Circuits
Mar 25, 2018
by
Milicevic3306
15.8k
points
39
views
gate2012-ec
analog-circuits
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 $\frac{3}{4}$ $\frac{9}{16}$ $\frac{1}{4}$ $\frac{2}{3}$
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Probability and Statistics
Mar 25, 2018
by
Milicevic3306
15.8k
points
42
views
gate2012-ec
probability-and-statistics
probability
independent-events
random-variable
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