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Recent questions tagged gate2016-ec-2
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1
GATE ECE 2016 Set 2 | GA Question: 1
Based on the given statements, select the appropriate option with respect to grammar and usage. Statements The height of Mr. $X$ is $6$ feet. The height of Mr. $Y$ is $5$ feet. Mr. $X$ is longer than Mr. $Y$. Mr. $X$ is more elongated than Mr. $Y$. Mr. $X$ is taller than Mr. $Y$. Mr. $X$ is lengthier than Mr. $Y$.
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Verbal Ability
Mar 28, 2018
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35
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gate2016-ec-2
verbal-ability
english-grammar
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0
answers
2
GATE ECE 2016 Set 2 | GA Question: 2
The students ___________ the teacher on the teachers’ day for twenty years of dedicated teaching. facilitated felicitated fantasized facillitated
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Verbal Ability
Mar 28, 2018
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Milicevic3306
15.8k
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37
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gate2016-ec-2
verbal-ability
most-appropriate-word
0
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0
answers
3
GATE ECE 2016 Set 2 | GA Question: 3
After India’s cricket world cup victory in $1985$, Shrotria who was playing both tennis and cricket till then, decided to concentrate only on cricket. And the $\underline{\text{rest is history}}$. What does the underlined phrase mean in this context? history will rest in peace rest is recorded in history books rest is well known rest is archaic
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Verbal Ability
Mar 28, 2018
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Milicevic3306
15.8k
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27
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gate2016-ec-2
verbal-ability
verbal-reasoning
passage-reading
0
votes
0
answers
4
GATE ECE 2016 Set 2 | GA Question: 4
Given ($9$ inches)$^{1/2}=(0.25$ yards)$^{1/2}$, which one of the following statements is $TRUE$? $3$ inches $= 0.5$ yards $9$ inches $= 1.5$ yards $9$ inches $= 0.25$ yards $81$ inches $= 0.0625$ yards
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Analytical Aptitude
Mar 28, 2018
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Milicevic3306
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35
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gate2016-ec-2
analytical-aptitude
logical-reasoning
0
votes
0
answers
5
GATE ECE 2016 Set 2 | GA Question: 5
$S$, $M$, $E$ and $F$ are working in the shifts in a team to finish a project. $M$ works with twice the efficiency of others but for half as many days as $E$ worked. $S$ amd $M$ have $6$ hour shifts in a day, whereas $E$ and $F$ have $12$ hours shifts. What is the ratio of contribution of $M$ to contribute of $E$ in the project? $1:1$ $1:2$ $1:4$ $2:1$
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Numerical Ability
Mar 28, 2018
by
Milicevic3306
15.8k
points
28
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gate2016-ec-2
numerical-ability
ratio-proportions
0
votes
0
answers
6
GATE ECE 2016 Set 2 | GA Question: 6
The Venn diagram shows the preference of the students population for leisure activities. From the data given, the number of students who like to read books or play sports is _____. $44$ $51$ $79$ $108$
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Numerical Ability
Mar 28, 2018
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Milicevic3306
15.8k
points
36
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gate2016-ec-2
numerical-ability
venn-diagrams
0
votes
0
answers
7
GATE ECE 2016 Set 2 | GA Question: 7
Social science disciplines were existence in an amorphous form until the colonial period when they were institutionalized. In varying degrees, they were intended to further the colonial interest. In the time of globalization and the economic rise ... science disciplines must maintain disciplinary boundaries ii only i and iii only ii and iv only iii and iv only
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Verbal Ability
Mar 28, 2018
by
Milicevic3306
15.8k
points
28
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gate2016-ec-2
verbal-ability
verbal-reasoning
passage-reading
0
votes
0
answers
8
GATE ECE 2016 Set 2 | GA Question: 8
Two and a quarter hours back, when seen in a mirror, the reflection of a wall clock without umber markings seemed to show $1.30$. What is the actual current time shown by the clock? $8.15$ $11.15$ $12.15$ $12.45$
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Numerical Ability
Mar 28, 2018
by
Milicevic3306
15.8k
points
38
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gate2016-ec-2
numerical-ability
clock-time
0
votes
0
answers
9
GATE ECE 2016 Set 2 | GA Question: 9
$M$ and $N$ start from the same location. $M$ travels $10$ km east ad then $10$ km North-East. $N$ travels $5$ km South and then $4$ km South-East. What is the shortest distance (in km) between $M$ and $N$ at the end of their travel? $18.60$ $22.50$ $20.61$ $25.00$
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Numerical Ability
Mar 28, 2018
by
Milicevic3306
15.8k
points
26
views
gate2016-ec-2
numerical-ability
direction-sense
0
votes
0
answers
10
GATE ECE 2016 Set 2 | GA Question: 10
A wire of length $340$ mm is to be cut into two parts. One of the parts is to be made into a square and the other into a rectangle where sides are in the ratio of $1:2$. What is the length of the square (in mm) such that the combined area of the square and the rectagle is a $\textbf{MINIMUM?}$ $30$ $40$ $120$ $180$
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Numerical Ability
Mar 28, 2018
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Milicevic3306
15.8k
points
29
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gate2016-ec-2
numerical-ability
geometry
area
0
votes
0
answers
11
GATE ECE 2016 Set 2 | Question: 1
The value of $x$ for which the matrix $A= \begin{bmatrix} 3& 2 &4 \\ 9& 7 & 13\\ -6&-4 &-9+x \end{bmatrix}$ has zero as an eigenvalue is ________
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Linear Algebra
Mar 28, 2018
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15.8k
points
39
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gate2016-ec-2
numerical-answers
linear-algebra
matrices
eigen-values
0
votes
0
answers
12
GATE ECE 2016 Set 2 | Question: 2
Consider the complex valued function $f(z)=2z^{3}+b\mid z \mid^{3}$ where $z$ is a complex variable. The value of $b$ for which function $f(z)$ is analytic is _________
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Complex Analysis
Mar 28, 2018
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Milicevic3306
15.8k
points
38
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gate2016-ec-2
numerical-answers
complex-analysis
0
votes
0
answers
13
GATE ECE 2016 Set 2 | Question: 3
As $x$ varies from $-1$ to $+3$, which one of the following describes the behaviour of the function $f(x)=x^{3}-3x^{2}+1?$ $f(x)$ increases monotonically. $f(x)$ increases, then decreases and increases again. $f(x)$ decreases, then increases and decreases again. $f(x)$ increases and then decreases.
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Calculus
Mar 28, 2018
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Milicevic3306
15.8k
points
39
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gate2016-ec-2
calculus
maxima-minima
0
votes
0
answers
14
GATE ECE 2016 Set 2 | Question: 4
How many distinct value of $x$ satisfy the equation $\sin(x)=x/2$, where $x$ is in radians? $1$ $2$ $3$ $4$ or more
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Calculus
Mar 28, 2018
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Milicevic3306
15.8k
points
50
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gate2016-ec-2
calculus
functions
0
votes
0
answers
15
GATE ECE 2016 Set 2 | Question: 5
Consider the time-varying vector $\textbf{I}=\hat{x}15\cos(\omega t)+\hat{y}5\sin(\omega t)$ in Cartesian coordinates, where $\omega> 0$ is a constant. When the vector magnitude $\mid \textbf{I} \mid$ is at its minimum value, the angle $\theta$ that $\textbf{I}$ makes with the $x$ axis (in degrees, such that $ 0\leq \theta \leq 180)$ ________
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Vector Analysis
Mar 28, 2018
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15.8k
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206
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gate2016-ec-2
numerical-answers
vector-analysis
0
votes
0
answers
16
GATE ECE 2016 Set 2 | Question: 6
In the circuit shown below, $V_{s}$ is a constant voltage source and $I_{L}$ is a constant current load. The value of $I_{L}$ that maximizes the power absorbed by the constant current load is $\frac{V_{S}}{4R} \\$ $\frac{V_{S}}{2R} \\$ $\frac{V_{S}}{R} \\$ $\infty$
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Analog Circuits
Mar 28, 2018
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Milicevic3306
15.8k
points
38
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gate2016-ec-2
analog-circuits
0
votes
0
answers
17
GATE ECE 2016 Set 2 | Question: 7
The switch has been in position $1$ for a long time and abruptly changes to position $2$ at $t = 0$. If time $t$ is in seconds, the capacitor voltage $V_{C}$ (in volts) for $t > 0$ is given by $4\left ( 1- \text{ exp }\left ( -t/0.5 \right ) \right )$ ... $4\left ( 1-\text{ exp }\left ( -t/0.6 \right ) \right )$ $10 -6 \text{ exp }\left ( -t/0.6 \right )$
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Analog Circuits
Mar 28, 2018
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Milicevic3306
15.8k
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31
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gate2016-ec-2
analog-circuits
0
votes
0
answers
18
GATE ECE 2016 Set 2 | Question: 8
The figure shown an $RLC$ circuit with a sinusoidal current source. At resonance, the ratio $\mid I_{L} \mid / \mid I_{R} \mid$, i.e., the ratio of the magnitudes of the inductor current phasor and the resistor current phasor, is ________
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Network Solution Methods
Mar 28, 2018
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15.8k
points
46
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gate2016-ec-2
numerical-answers
network-solution-methods
rlc-circuits
0
votes
0
answers
19
GATE ECE 2016 Set 2 | Question: 9
The $z$-parameter matrix for the two-port network shown is $\begin{bmatrix} 2j\omega &j\omega \\ j\omega & 3+2j\omega \end{bmatrix},$ where the entries are in $\Omega$. Suppose $Z_{b}\left ( j\omega \right )=R_{b}+j\omega .$ Then the value of $R_{b}$ (in $\Omega$) equals ________
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Control Systems
Mar 28, 2018
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15.8k
points
43
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gate2016-ec-2
numerical-answers
control-systems
0
votes
0
answers
20
GATE ECE 2016 Set 2 | Question: 10
The energy of the signal $x(t)= \frac{\sin(4\pi t)}{4\pi t}$ is ________
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Continuous-time Signals
Mar 28, 2018
by
Milicevic3306
15.8k
points
52
views
gate2016-ec-2
numerical-answers
continuous-time-signals
to-be-tagged
0
votes
0
answers
21
GATE ECE 2016 Set 2 | Question: 11
The Ebers-Moll model of a $BJT$ is valid only in active mode only in active and saturation modes only in active and cut-off modes in active, saturation and cut-off modes
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Analog Circuits
Mar 28, 2018
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Milicevic3306
15.8k
points
40
views
gate2016-ec-2
analog-circuits
bipolar-junction-transistor
0
votes
0
answers
22
GATE ECE 2016 Set 2 | Question: 12
A long-channel $NMOS$ transistor is biased in the linear region with $V_{DS}=50$ $m$ $V$ and is used as a resistance. Which one of the following statement is $NOT$ correct? If the device width $W$ is increased, the resistance ... decreases. If the device length $L$ is increased, the resistance increases. If $V_{GS}$ is incresed, the resistance increases.
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Analog Circuits
Mar 28, 2018
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Milicevic3306
15.8k
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72
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gate2016-ec-2
analog-circuits
nmos-transistor
0
votes
0
answers
23
GATE ECE 2016 Set 2 | Question: 13
Assume that the diode in the figure has $V_{on}=0.7 \:V$, but it otherwise ideal. The magnitude of the current $i_{2}$ in mA) is equal to _________
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Electronic Devices
Mar 28, 2018
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Milicevic3306
15.8k
points
24
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gate2016-ec-2
numerical-answers
electronic-devices
0
votes
0
answers
24
GATE ECE 2016 Set 2 | Question: 14
Resistor $R_{1}$ in the circuit below has been adjusted so that $I_{1}=1$ $mA$. The bipolar transistors $Q1$ and $Q2$ are perfectly matched and have very high current gain, so their base currents are negligible. The supply voltage $V_{cc}$ is $6$ $V$. The thermal ... $KT/q$ is $26$ $mV$. The value of $R_{2}$ (in $\Omega)$ for which $I_{2}=100\mu A$ is _________
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Electronic Devices
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15.8k
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25
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gate2016-ec-2
numerical-answers
electronic-devices
0
votes
0
answers
25
GATE ECE 2016 Set 2 | Question: 15
Which one of the following statements is correct about an ac-coupled common-emitter amplifier operating in the mid-band region? The device parasitic capacitances behave like open circuits, whereas coupling and bypass capacitances ... The device parasitic capacitances behave like short circuits, whereas coupling and bypass capacitances behave like open circuits.
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Analog Circuits
Mar 28, 2018
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15.8k
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73
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gate2016-ec-2
analog-circuits
amplifier
0
votes
0
answers
26
GATE ECE 2016 Set 2 | Question: 16
Transistor geometries in a $CMOS$ inverter have been adjusted to meet the requirement for worst case charge and discharge times for driving a load capacitor $C$. This design is to be converted to that of a $NOR$ circuit in the same ... should not be changed. Widths of $PMOS$ transistors should be unchanged, while widths of $NMOS$ transistors should be halved.
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Electronic Devices
Mar 28, 2018
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37
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gate2016-ec-2
electronic-devices
cmos
0
votes
0
answers
27
GATE ECE 2016 Set 2 | Question: 17
Assume that all the digital gates in the circuit shown in the figure are ideal, the resistor $R=10\Omega$ and the supply voltage is $5\:V$. The $D$ flip-flops $D_{1} \:, D_{2} \:, D_{3} \:, D_{4}$ and $D_{5}$ are initialized with ... $0$, respectively. The clocks has a $30\%$ duty cycle. The average power dissipated (in $mW$) in the resistor $R$ is _________
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Digital Circuits
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60
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gate2016-ec-2
numerical-answers
digital-circuits
sequential-circuit
counters
0
votes
0
answers
28
GATE ECE 2016 Set 2 | Question: 18
A $4:1$ multiplexer is to be used for generating the output carry of a full adder. $A$ and $B$ are the bits to be added while $C_{in}$ is the input carry and $C_{out}$ is the output carry. $A$ and $B$ are to be used as the select bits with $A$ being the more significant select ... $I_{3}=C_{in}$ $I_{0}=0, I_{1}=C_{in},I_{2}=1$ and $I_{3}=C_{in}$
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Number Representations
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gate2016-ec-2
digital-circuits
combinational-circuits
multiplexers
0
votes
0
answers
29
GATE ECE 2016 Set 2 | Question: 19
The response of the system $G(s)=\frac{s-2}{(s+1)(s+3)}$ to the unit step input $u(t)$ is $y(t)$. The value of $\frac{dy}{dt}$ at $t=0^{+}$ is _________
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Differential Equations
Mar 28, 2018
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15.8k
points
34
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gate2016-ec-2
numerical-answers
differential-equations
0
votes
0
answers
30
GATE ECE 2016 Set 2 | Question: 20
The number and direction of encirclements around the point $-1+j0$ in the complex plane by the Nyquist plot of $G(s)=\frac{1-s}{4+2s}$ is zero. one,anti-clockwise. one, clockwise. two, clockwise.
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Control Systems
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gate2016-ec-2
control-systems
nyquist
0
votes
0
answers
31
GATE ECE 2016 Set 2 | Question: 21
A discrete memoryless source has an alphabet $\left \{ a_{1},a_{2}, a_{3},a_{4}\right \}$ with corresponding probabilities $\left \{ \frac{1}{2}, \frac{1}{4},\frac{1}{8},\frac{1}{8}\right \}.$ The minimum required average codeword length in bits to represent this source for error-free reconstruction is _________
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Probability and Statistics
Mar 28, 2018
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15.8k
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60
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gate2016-ec-2
numerical-answers
probability-and-statistics
probability
0
votes
0
answers
32
GATE ECE 2016 Set 2 | Question: 22
A speech signal is sampled at $8$ $kHz$ and encoded into $PCM$ format using $8$ bits/sample. The $PCM$ data is transmitted through a baseband channel via $4$-level $PAM$. The minimum bandwidth (in $kHz$) required for transmission is _________
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Communications
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30
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gate2016-ec-2
numerical-answers
digital-communications
pulse-code-modulation-systems
communications
0
votes
0
answers
33
GATE ECE 2016 Set 2 | Question: 23
A uniform and constant magnetic field $\textbf{B}=\hat{z}B$ exists in the $\hat{z}$ direction in vacuum. A particle of mass $m$ with a small charge $q$ ... . Circular motion in the $xy$ plane. Linear motion in the $\hat{z}$ direction. Linear motion in the $\hat{x}$ direction.
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Electromagnetics
Mar 28, 2018
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points
53
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gate2016-ec-2
electromagnetics
0
votes
0
answers
34
GATE ECE 2016 Set 2 | Question: 24
Let the electric field vector of a plane electromagnetic wave propagating in a homogeneous medium be expressed as $\textbf{E}=\hat{x}E_{x}e^{-j(\omega t-\beta z)},$ where the propogation constant $\beta$ ... of the wave. The group velocity of the wave. The phase velocity of the wave. The power flux through the $z=0$ plane.
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Electromagnetics
Mar 28, 2018
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52
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gate2016-ec-2
electromagnetics
0
votes
0
answers
35
GATE ECE 2016 Set 2 | Question: 25
Light from free space is incident at an angle $\theta _{i}$ to the normal of the facet of a step-index large core optical fibre. The core and cladding refractive indices are $n _{1}=1.5$ and $n _{2}=1.4$, respectively. The maximum value of $\theta _{i}$ (in degrees) for which the incident light will be guided in the core of the fibre is _________
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Electromagnetics
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47
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gate2016-ec-2
numerical-answers
electromagnetics
optical-fiber
0
votes
0
answers
36
GATE ECE 2016 Set 2 | Question: 26
The ordinary differential equation $\frac{dx}{dt}=-3x+2, \text{ with }x(0) = 1$ is to be solved using the forward Euler method. The largest time step that can be used to solve the equation without making the numerical solution unstable is _________
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Differential Equations
Mar 28, 2018
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15.8k
points
30
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gate2016-ec-2
numerical-answers
differential-equations
0
votes
0
answers
37
GATE ECE 2016 Set 2 | Question: 27
Suppose $C$ is the closed curve defined as the circle $x^{2}+y^{2}=1$ with $C$ oreinted anti-clockwise. The value of $\oint$ ( $xy^{2}$ $dx$ + $ x^{2}y$ $dy$ )over the curve $C$ equals _________
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Complex Analysis
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26
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gate2016-ec-2
numerical-answers
complex-analysis
0
votes
0
answers
38
GATE ECE 2016 Set 2 | Question: 28
Two random variables $X$ and $Y$ are distributed according to $f_{X,Y}(x,y)=\begin{cases} (x+y),& 0\leq x\leq 1,&0\leq y\leq 1\\ 0, & \text{otherwise.} \end{cases}$ The probability $P(X+Y\leq 1)$ is ________
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Probability and Statistics
Mar 28, 2018
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15.8k
points
62
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gate2016-ec-2
numerical-answers
probability-and-statistics
probability
probability-density-function
0
votes
0
answers
39
GATE ECE 2016 Set 2 | Question: 29
The matrix $A=\begin{bmatrix} a & 0 &3 &7 \\ 2& 5&1 &3 \\ 0& 0& 2 &4 \\ 0&0 & 0 &b \end{bmatrix}$ has $\text{det}(A) = 100$ and $\text{trace}(A) = 14$. The value of $\mid a-b \mid$ is ________
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Linear Algebra
Mar 28, 2018
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15.8k
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39
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gate2016-ec-2
numerical-answers
linear-algebra
matrices
0
votes
0
answers
40
GATE ECE 2016 Set 2 | Question: 33
The Discrete Fourier Transform (DFT) of the $4$-point sequence $x\left [ n \right ]=\left \{ x\left [ 0 \right ],x\left [ 1 \right ], x\left [ 2 \right ], x\left [ 3 \right ] \right \}= \left \{ 3,2,3,4 \right \}$ ... $\left | \frac{X_{1}\left [ 8 \right ]}{X_{1}\left [ 11 \right ]} \right |$ is _________
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Continuous-time Signals
Mar 28, 2018
by
Milicevic3306
15.8k
points
65
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gate2016-ec-2
numerical-answers
continuous-time-signals
discrete-fourier-transform
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