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Recent questions tagged gate2014-ec-3
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GATE ECE 2014 Set 3 | GA Question: 1
India is a country of rich heritage and cultural diversity. Which one of the following facts best supports the claim made in the above sentence? India is a union of $28$ states and $7$ union territories. India has a population of ... India is home to $22$ official languages and thousands of dialects. The Indian cricket team draws players from over ten states.
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Verbal Aptitude
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gate2014-ec-3
verbal-ability
verbal-reasoning
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2
GATE ECE 2014 Set 3 | GA Question: 2
The value of one U.S. dollar is $65$ Indian Rupees today, compared to $60$ last year. The Indian Rupee has ____________. depressed depreciated appreciated stabilized
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Verbal Aptitude
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gate2014-ec-3
verbal-ability
most-appropriate-word
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3
GATE ECE 2014 Set 3 | GA Question: 3
'Advice' is ________________. a verb a noun an adjective both a verb and a noun
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Verbal Aptitude
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gate2014-ec-3
verbal-ability
english-grammar
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4
GATE ECE 2014 Set 3 | GA Question: 4
The next term in the series $81, 54, 36, 24, \dots$ is ________
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Analytical Aptitude
Mar 26, 2018
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gate2014-ec-3
analytical-aptitude
logical-reasoning
sequence-series
numerical-answers
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5
GATE ECE 2014 Set 3 | GA Question: 5
In which of the following options will the expression $P < M$ be definitely true? $M < R > P > S$ $M > S < P < F$ $Q < M < F = P$ $P = A < R < M$
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Analytical Aptitude
Mar 26, 2018
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gate2014-ec-3
analytical-aptitude
logical-reasoning
inequality
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6
GATE ECE 2014 Set 3 | GA Question: 6
Find the next term in the sequence: $7G, 11K, 13M$,____ $15Q$ $17Q$ $15P$ $17P$
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Analytical Aptitude
Mar 26, 2018
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Milicevic3306
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36
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gate2014-ec-3
analytical-aptitude
logical-reasoning
sequence-series
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7
GATE ECE 2014 Set 3 | GA Question: 7
The multi-level hierarchical pie chart shows the population of animals in a reserve forest. The correct conclusions from this information are: Butterflies are birds There are more tigers in this forest than red ants All reptiles in this forest are either snakes or crocodiles Elephants are ... (ii), (iii) and (iv) (i), (iii) and (iv) only (i), (ii) and (iii) only
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Quantitative Aptitude
Mar 26, 2018
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Milicevic3306
15.8k
points
46
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gate2014-ec-3
numerical-ability
data-interpretation
pie-chart
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votes
0
answers
8
GATE ECE 2014 Set 3 | GA Question: 8
A man can row at $8$ $km$ per hour in still water. If it takes him thrice as long to row upstream, as to row downstream, then find the stream velocity in $km$ per hour.
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Quantitative Aptitude
Mar 26, 2018
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Milicevic3306
15.8k
points
49
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gate2014-ec-3
numerical-ability
boat-streams
numerical-answers
0
votes
0
answers
9
GATE ECE 2014 Set 3 | GA Question: 9
A firm producing air purifiers sold $200$ units in $2012$. The following pie chart presents the share of raw material, labour, energy, plant & machinery, and transportation costs in the total manufacturing cost of the firm in $2012$. The expenditure on labour ... a profit of Rs. $10$ lakhs in $2012$, at what price (in $Rs$.) was each air purifier sold?
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Quantitative Aptitude
Mar 26, 2018
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Milicevic3306
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points
35
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gate2014-ec-3
numerical-ability
data-interpretation
pie-chart
numerical-answers
0
votes
0
answers
10
GATE ECE 2014 Set 3 | GA Question: 10
A batch of one hundred bulbs is inspected by testing four randomly chosen bulbs. The batch is rejected if even one of the bulbs is defective. A batch typically has five defective bulbs. The probability that the current batch is accepted is ________
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Quantitative Aptitude
Mar 26, 2018
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Milicevic3306
15.8k
points
32
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gate2014-ec-3
numerical-ability
probability
numerical-answers
0
votes
0
answers
11
GATE ECE 2014 Set 3 | Question: 1
The maximum value of the function $f(x) = \text{ln } (1+x) – x $ (where $x >-1$) occurs at $x=$_______.
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Calculus
Mar 26, 2018
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Milicevic3306
15.8k
points
46
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gate2014-ec-3
calculus
maxima-minima
numerical-answers
0
votes
0
answers
12
GATE ECE 2014 Set 3 | Question: 2
Which $ONE$ of the following is a linear non-homogeneous differential equation, where $x$ and $y$ are the independent and dependent variables respectively? $\frac{dy}{dx}+xy= e^{-x}$ $\frac{dy}{dx}+xy= 0$ $\frac{dy}{dx}+xy= e^{-y}$ $\frac{dy}{dx}+ e^{-y}= 0$
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Differential Equations
Mar 26, 2018
by
Milicevic3306
15.8k
points
55
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gate2014-ec-3
differential-equations
0
votes
0
answers
13
GATE ECE 2014 Set 3 | Question: 3
Match the application to appropriate numerical method. ... $P1-M3,P2-M1,P3-M4,P4-M2$ $P1-M4,P2-M1,P3-M3,P4-M2$ $P1-M2,P2-M1,P3-M3,P4-M4$
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Numerical Methods
Mar 26, 2018
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Milicevic3306
15.8k
points
64
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gate2014-ec-3
numerical-methods
0
votes
0
answers
14
GATE ECE 2014 Set 3 | Question: 4
An unbiased coin is tossed an infinite number of times. The probability that the fourth head appears at the tenth toss is $0.067$ $0.073$ $0.082$ $0.091$
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Probability and Statistics
Mar 26, 2018
by
Milicevic3306
15.8k
points
49
views
gate2014-ec-3
probability-and-statistics
probability
0
votes
0
answers
15
GATE ECE 2014 Set 3 | Question: 5
If $z= xy \text{ ln} (xy)$, then $x\frac{\partial z}{\partial x}+y\frac{\partial z}{\partial y}= 0 \\$ $y\frac{\partial z}{\partial x}= x\frac{\partial z}{\partial y} \\$ $x\frac{\partial z}{\partial x}= y\frac{\partial z}{\partial y} \\$ $y\frac{\partial z}{\partial x}+x\frac{\partial z}{\partial y}= 0$
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Differential Equations
Mar 26, 2018
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Milicevic3306
15.8k
points
71
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gate2014-ec-3
differential-equations
partial-differential-equations
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votes
0
answers
16
GATE ECE 2014 Set 3 | Question: 6
A series $RC$ circuit is connected to a $DC$ voltage source at time $t= 0$. The relation between the source voltage $V_{s},$ the resistance $R$, the capacitance $C$, and the current $i(t)$ is given below. $V_{s}= R \: i(t)+\frac{1}{c}\int ^{t}_{o}i(u)du$. Which one of the following represents the current $i(t)$?
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Electronic Devices
Mar 26, 2018
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Milicevic3306
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35
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gate2014-ec-3
electronic-devices
0
votes
0
answers
17
GATE ECE 2014 Set 3 | Question: 7
In the figure shown, the value of the current $I$ (in Amperes) is __________.
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Electronic Devices
Mar 26, 2018
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Milicevic3306
15.8k
points
31
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gate2014-ec-3
numerical-answers
electronic-devices
0
votes
0
answers
18
GATE ECE 2014 Set 3 | Question: 8
In MOSFET fabrication, the channel length is defined during the process of isolation oxide growth channel stop implantation poly-silicon gate patterning lithography step leading to the contact pads
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Electronic Devices
Mar 26, 2018
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Milicevic3306
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41
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gate2014-ec-3
electronic-devices
analog-circuits
mosfet
0
votes
0
answers
19
GATE ECE 2014 Set 3 | Question: 9
A thin $P$-type silicon sample is uniformly illuminated with light which generates excess carriers. The recombination rate is directly proportional to the minority carrier mobility the minority carrier recombination lifetime the majority carrier concentration the excess minority carrier concentration
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Electronic Devices
Mar 26, 2018
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Milicevic3306
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38
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gate2014-ec-3
electronic-devices
silicon
0
votes
0
answers
20
GATE ECE 2014 Set 3 | Question: 10
At $T= 300 \: K$, the hole mobility of a semiconductor $\mu _{p}= 500$ $cm^{2}$/V-s$ and $\frac{kT}{q}= 26$ $mV$. The hole diffusion constant $D_{p}$ in $cm^{2}$/s$ is _________
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Electronic Devices
Mar 26, 2018
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31
views
gate2014-ec-3
numerical-answers
electronic-devices
diffusion
0
votes
0
answers
21
GATE ECE 2014 Set 3 | Question: 11
The desirable characteristics of a transconductance amplifier are high input resistance and high output resistance high input resistance and low output resistance low input resistance and high output resistance low input resistance and low output resistance
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Analog Circuits
Mar 26, 2018
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Milicevic3306
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points
58
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gate2014-ec-3
amplifier
analog-circuits
0
votes
0
answers
22
GATE ECE 2014 Set 3 | Question: 12
In the circuit shown, the $PNP$ transistor has $\mid V_{BE} \mid = 0.7 \:V$ and $\beta = 50$. Assume that $R_{B}= 100 \: k \Omega$. For $V_{0}$ to be $5 \: V$, the value of $R_{C}$ (in $k \Omega$) is ________
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Electronic Devices
Mar 26, 2018
by
Milicevic3306
15.8k
points
54
views
gate2014-ec-3
numerical-answers
electronic-devices
p-n-p-transistor
0
votes
0
answers
23
GATE ECE 2014 Set 3 | Question: 13
The figure shows a half-wave rectifier. The diode $D$ is ideal. The average steady-state current (in Amperes) through the diode is approximately ___________.
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Analog Circuits
Mar 26, 2018
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Milicevic3306
15.8k
points
140
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gate2014-ec-3
numerical-answers
analog-circuits
diodes
0
votes
0
answers
24
GATE ECE 2014 Set 3 | Question: 14
An analog voltage in the range $0$ to $8$ V is divided in $16$ equal intervals for conversion to $4$-bit digital output. The maximum quantization error (in V) is __________
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Analog Circuits
Mar 26, 2018
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Milicevic3306
15.8k
points
88
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gate2014-ec-3
numerical-answers
analog-circuits
voltage-reference-circuits
0
votes
0
answers
25
GATE ECE 2014 Set 3 | Question: 15
The circuit shown in the figure is a Toggle Flip Flop JK Flip Flop SR Latch Master-Slave D Flip Flop
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Digital Circuits
Mar 26, 2018
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Milicevic3306
15.8k
points
67
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gate2014-ec-3
digital-circuits
sequential-circuit
flip-flops
0
votes
0
answers
26
GATE ECE 2014 Set 3 | Question: 16
Consider the multiplexer based logic circuit shown in the figure. Which one of the following Boolean functions is realized by the circuit? $F= W \overline{S_1} \: \overline{S_2}$ $F= WS_1+WS_2 + S_{1}S_{2}$ $F= \overline{W}+S_{1}+S_{2}$ $F= W\oplus S_{1}\oplus S_{2}$
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Number Representations
Mar 26, 2018
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Milicevic3306
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points
82
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gate2014-ec-3
digital-circuits
combinational-circuits
multiplexers
0
votes
0
answers
27
GATE ECE 2014 Set 3 | Question: 17
Let $x(t)= \cos(10\pi t)+\cos(30\pi t)$ be sampled at $20 Hz$ and reconstructed using an ideal low-pass filter with cut-off frequency of $20 Hz$. The frequency/frequencies present in the reconstructed signal is/are $5$ Hz and $15$ Hz only $10$ Hz and $15$ Hzonly $5$ Hz, $10$ Hz and $15$Hz only $5$ Hz only
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Electromagnetics
Mar 26, 2018
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Milicevic3306
15.8k
points
35
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gate2014-ec-3
electromagnetics
cut-off-frequency
0
votes
0
answers
28
GATE ECE 2014 Set 3 | Question: 18
For an all-pass system $H(z)= \frac{(z^{-1}-b)}{(1-az^{-1})}$, where $\mid H(e^{-j\omega }) \mid= 1,$ for all $\omega$. If $\text{Re}(a)\neq 0, \: \text{Im}(a)\neq 0,$then $b$ equals $a$ $a^{*}$ $1/a^{*}$ $1/a$
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Network Solution Methods
Mar 26, 2018
by
Milicevic3306
15.8k
points
65
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gate2014-ec-3
continuous-time-signals
0
votes
0
answers
29
GATE ECE 2014 Set 3 | Question: 19
A modulated signal is $y(t)= m(t)\cos(40000\pi t)$, where the baseband signal $m(t)$ has frequency components less than $5$ KHz only. The minimum required rate (in KHz) at which $y(t)$ should be sampled to recover $m(t)$ is _______.
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Communications
Mar 26, 2018
by
Milicevic3306
15.8k
points
77
views
gate2014-ec-3
numerical-answers
digital-communications
communications
0
votes
0
answers
30
GATE ECE 2014 Set 3 | Question: 20
Consider the following block diagram in the figure. The transfer function $\frac{C(s)}{R(s)}$ is $\frac{G_{1}G_{2}}{1+G_{1}G_{2}}$ $G_{1}G_{2}+G_{1}+1$ $G_{1}G_{2}+G_{2}+1$ $\frac{G_{1}}{1+G_{1}G_{2}}$
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Network Solution Methods
Mar 26, 2018
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Milicevic3306
15.8k
points
74
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gate2014-ec-3
network-solution-methods
transfer-function
0
votes
0
answers
31
GATE ECE 2014 Set 3 | Question: 21
The input $-3e^{2t}u(t),$ where $u(t)$ is the unit step function, is applied to a system with transfer function $\frac{s-2}{s+3}.$ If the initial value of the output is $-2$, then the value of the output at steady state is _______.
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Network Solution Methods
Mar 26, 2018
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Milicevic3306
15.8k
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44
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gate2014-ec-3
numerical-answers
network-solution-methods
transfer-function
0
votes
0
answers
32
GATE ECE 2014 Set 3 | Question: 22
The phase response of a passband waveform at the receiver is given by $\varphi (f)= -2\pi \alpha (f-f_{c})-2\pi \beta f_{c}$ where $f_{c}$ is the centre frequency, and $\alpha$ and $\beta$ are positive constants. The actual signal propagation delay from the ... $\frac{\alpha\beta }{\alpha +\beta } \\$ $\alpha \\$ $\beta$
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Electromagnetics
Mar 26, 2018
by
Milicevic3306
15.8k
points
28
views
gate2014-ec-3
electromagnetics
0
votes
0
answers
33
GATE ECE 2014 Set 3 | Question: 23
Consider an $FM$ signal $f(t)= \cos\left [ 2\pi f_{c} t+\beta _{1}\sin2\pi f_{1}t+\beta _{2}\sin2\pi f_{2}t\right ].$ The maximum deviation of the instantaneous frequency from the carrier frequency $f_{c}$ is $\beta _{1}f_{1}+\beta _{2}f_{2}$ $\beta _{1}f_{2}+\beta _{2}f_{1}$ $\beta _{1}+\beta _{2}$ $f _{1}+f _{2}$
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Communications
Mar 26, 2018
by
Milicevic3306
15.8k
points
59
views
gate2014-ec-3
digital-communications
frequency-modulation
communications
0
votes
0
answers
34
GATE ECE 2014 Set 3 | Question: 24
Consider an air filled rectangular waveguide with a cross-section of $5 \: cm \times 3 \: cm $. For this waveguide, the cut-off frequency (in MHz) of $TE_{21}$ mode is __________.
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Electromagnetics
Mar 26, 2018
by
Milicevic3306
15.8k
points
30
views
gate2014-ec-3
numerical-answers
electromagnetics
cut-off-frequency
0
votes
0
answers
35
GATE ECE 2014 Set 3 | Question: 25
In the following figure, the transmitter $Tx$ sends a wideband modulated $RF$ signal via a coaxial cable to the receiver $Rx$. The output impedance $Z_{T}$ of $Tx$, the characteristic impedance $Z_{0}$ of the cable and the input impedance ... $Z_{R}\neq Z_{0}$ Impedance mismatches do NOT result in signal distortion but reduce power transfer efficiency
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Electromagnetics
Mar 26, 2018
by
Milicevic3306
15.8k
points
27
views
gate2014-ec-3
electromagnetics
impedance
0
votes
0
answers
36
GATE ECE 2014 Set 3 | Question: 26
The maximum value of $f(x)$= $2x^{3}$ – $9x^{2}$ + $12x – 3$ in the interval $0\leq x\leq 3$ is _______.
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Calculus
Mar 26, 2018
by
Milicevic3306
15.8k
points
44
views
gate2014-ec-3
calculus
maxima-minima
numerical-answers
0
votes
0
answers
37
GATE ECE 2014 Set 3 | Question: 27
Which one of the following statements is NOT true for a square matrix $A$? If $A$ is upper triangular, the eigenvalues of $A$ are the diagonal elements of it If $A$ is real symmetric, the eigenvalues of $A$ are always real and positive If $A$ ... $A$ are positive, all the eigenvalues of $A$ are also positive
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Linear Algebra
Mar 26, 2018
by
Milicevic3306
15.8k
points
50
views
gate2014-ec-3
linear-algebra
matrices
eigen-values
0
votes
0
answers
38
GATE ECE 2014 Set 3 | Question: 28
A fair coin is tossed repeatedly till both head and tail appear at least once. The average number of tosses required is _______ .
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in
Probability and Statistics
Mar 26, 2018
by
Milicevic3306
15.8k
points
32
views
gate2014-ec-3
probability-and-statistics
probability
expectation
numerical-answers
0
votes
0
answers
39
GATE ECE 2014 Set 3 | Question: 29
Let $X_{1},X_{2},$ and $X_{3}$ be independent and identically distributed random variables with the uniform distribution on $[0,1]$. The probability $P\left \{ X_{1}+X_{2}\leq X_{3}\right \}$ is _________.
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in
Probability and Statistics
Mar 26, 2018
by
Milicevic3306
15.8k
points
67
views
gate2014-ec-3
probability-and-statistics
probability
independent-events
random-variable
uniform-distribution
numerical-answers
0
votes
0
answers
40
GATE ECE 2014 Set 3 | Question: 31
In the circuit shown in the figure, the value of node voltage $V_{2}$ is $22+j$ $2$ $V$ $2 +j$ $22$ $V$ $22 -j$ $2$ $V$ $2 -j$ $22$ $V$
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Electronic Devices
Mar 26, 2018
by
Milicevic3306
15.8k
points
44
views
gate2014-ec-3
electronic-devices
node-voltage
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