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Recent questions tagged gate2016ec2
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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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Mar 28, 2018
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Verbal Ability
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Milicevic3306
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15.8k
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17
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gate2016ec2
verbalability
englishgrammar
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0
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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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Mar 28, 2018
in
Verbal Ability
by
Milicevic3306
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15.8k
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18
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gate2016ec2
verbalability
mostappropriateword
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0
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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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Mar 28, 2018
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Verbal Ability
by
Milicevic3306
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12
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gate2016ec2
verbalability
verbalreasoning
passagereading
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0
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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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Mar 28, 2018
in
Analytical Aptitude
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Milicevic3306
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15.8k
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16
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gate2016ec2
analyticalaptitude
logicalreasoning
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0
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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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Mar 28, 2018
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Numerical Ability
by
Milicevic3306
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15.8k
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11
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gate2016ec2
numericalability
ratioproportions
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0
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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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Mar 28, 2018
in
Numerical Ability
by
Milicevic3306
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15.8k
points)

14
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gate2016ec2
numericalability
venndiagrams
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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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Mar 28, 2018
in
Verbal Ability
by
Milicevic3306
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15.8k
points)

14
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gate2016ec2
verbalability
verbalreasoning
passagereading
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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Mar 28, 2018
in
Numerical Ability
by
Milicevic3306
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15.8k
points)

19
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gate2016ec2
numericalability
clocktime
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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 NorthEast. $N$ travels $5$ km South and then $4$ km SouthEast. What is the shortest distance (in km) between $M$ and $N$ at the end of their travel? $18.60$ $22.50$ $20.61$ $25.00$
asked
Mar 28, 2018
in
Numerical Ability
by
Milicevic3306
(
15.8k
points)

11
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gate2016ec2
numericalability
directionsense
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 $\textbf{MINIMUM?}$ $30$ $40$ $120$ $180$
asked
Mar 28, 2018
in
Numerical Ability
by
Milicevic3306
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15.8k
points)

11
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gate2016ec2
numericalability
geometry
area
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0
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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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Mar 28, 2018
in
Linear Algebra
by
Milicevic3306
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15.8k
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22
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gate2016ec2
numericalanswers
linearalgebra
matrices
eigenvalues
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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Mar 28, 2018
in
Complex Analysis
by
Milicevic3306
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15.8k
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21
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gate2016ec2
numericalanswers
complexanalysis
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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Mar 28, 2018
in
Calculus
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Milicevic3306
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15.8k
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22
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gate2016ec2
calculus
maximaminima
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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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Mar 28, 2018
in
Calculus
by
Milicevic3306
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15.8k
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24
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gate2016ec2
calculus
functions
0
votes
0
answers
15
GATE ECE 2016 Set 2  Question: 5
Consider the timevarying 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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Mar 28, 2018
in
Vector Analysis
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Milicevic3306
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15.8k
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57
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gate2016ec2
numericalanswers
vectoranalysis
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 $\frac{V_{S}}{4R} \\$ $\frac{V_{S}}{2R} \\$ $\frac{V_{S}}{R} \\$ $\infty$
asked
Mar 28, 2018
in
Analog Circuits
by
Milicevic3306
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15.8k
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18
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gate2016ec2
analogcircuits
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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Mar 28, 2018
in
Analog Circuits
by
Milicevic3306
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15.8k
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16
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gate2016ec2
analogcircuits
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 ________
asked
Mar 28, 2018
in
Network Solution Methods
by
Milicevic3306
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15.8k
points)

22
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gate2016ec2
numericalanswers
networksolutionmethods
rlccircuits
0
votes
0
answers
19
GATE ECE 2016 Set 2  Question: 9
The $z$parameter matrix for the twoport 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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Mar 28, 2018
in
Control Systems
by
Milicevic3306
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15.8k
points)

26
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gate2016ec2
numericalanswers
controlsystems
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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Mar 28, 2018
in
Continuoustime Signals
by
Milicevic3306
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15.8k
points)

23
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gate2016ec2
numericalanswers
continuoustimesignals
tobetagged
0
votes
0
answers
21
GATE ECE 2016 Set 2  Question: 11
The EbersMoll model of a $BJT$ is valid only in active mode only in active and saturation modes only in active and cutoff modes in active, saturation and cutoff modes
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Mar 28, 2018
in
Analog Circuits
by
Milicevic3306
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15.8k
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15
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gate2016ec2
analogcircuits
bipolarjunctiontransistor
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votes
0
answers
22
GATE ECE 2016 Set 2  Question: 12
A longchannel $NMOS$ 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.
asked
Mar 28, 2018
in
Analog Circuits
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Milicevic3306
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15.8k
points)

26
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gate2016ec2
analogcircuits
nmostransistor
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 _________
asked
Mar 28, 2018
in
Electronic Devices
by
Milicevic3306
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15.8k
points)

13
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gate2016ec2
numericalanswers
electronicdevices
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 _________
asked
Mar 28, 2018
in
Electronic Devices
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Milicevic3306
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15.8k
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11
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gate2016ec2
numericalanswers
electronicdevices
0
votes
0
answers
25
GATE ECE 2016 Set 2  Question: 15
Which one of the following statements is correct about an accoupled commonemitter amplifier operating in the midband 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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Mar 28, 2018
in
Analog Circuits
by
Milicevic3306
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15.8k
points)

23
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gate2016ec2
analogcircuits
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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Mar 28, 2018
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Electronic Devices
by
Milicevic3306
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15.8k
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16
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gate2016ec2
electronicdevices
cmos
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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 $D$ flipflops $D_{1} \:, D_{2} \:, D_{3} \:, D_{4}$ 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 _________
asked
Mar 28, 2018
in
Digital Circuits
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Milicevic3306
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15.8k
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23
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gate2016ec2
numericalanswers
digitalcircuits
sequentialcircuit
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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Mar 28, 2018
in
Digital Circuits
by
Milicevic3306
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15.8k
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27
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gate2016ec2
digitalcircuits
combinationalcircuits
multiplexers
0
votes
0
answers
29
GATE ECE 2016 Set 2  Question: 19
The response of the system $G(s)=\frac{s2}{(s+1)(s+3)}$ to the unit step input $u(t)$ is $y(t)$. The value of $\frac{dy}{dt}$ at $t=0^{+}$ is _________
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Mar 28, 2018
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Differential Equations
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Milicevic3306
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15.8k
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19
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gate2016ec2
numericalanswers
differentialequations
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 $G(s)=\frac{1s}{4+2s}$ is zero. one,anticlockwise. one, clockwise. two, clockwise.
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Mar 28, 2018
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Control Systems
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Milicevic3306
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15.8k
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15
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gate2016ec2
controlsystems
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 errorfree reconstruction is _________
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Mar 28, 2018
in
Probability and Statistics
by
Milicevic3306
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15.8k
points)

21
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gate2016ec2
numericalanswers
probabilityandstatistics
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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Mar 28, 2018
in
Communications
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Milicevic3306
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15.8k
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gate2016ec2
numericalanswers
digitalcommunications
pulsecodemodulationsystems
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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Mar 28, 2018
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Electromagnetics
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Milicevic3306
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15.8k
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29
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gate2016ec2
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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Mar 28, 2018
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Electromagnetics
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Milicevic3306
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24
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gate2016ec2
electromagnetics
0
votes
0
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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 stepindex 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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Mar 28, 2018
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Electromagnetics
by
Milicevic3306
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15.8k
points)

16
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gate2016ec2
numericalanswers
electromagnetics
opticalfiber
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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Mar 28, 2018
in
Differential Equations
by
Milicevic3306
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15.8k
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16
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gate2016ec2
numericalanswers
differentialequations
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 anticlockwise. The value of $\oint$ ( $xy^{2}$ $dx$ + $ x^{2}y$ $dy$ )over the curve $C$ equals _________
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Mar 28, 2018
in
Complex Analysis
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Milicevic3306
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15.8k
points)

16
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gate2016ec2
numericalanswers
complexanalysis
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 ________
asked
Mar 28, 2018
in
Probability and Statistics
by
Milicevic3306
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15.8k
points)

30
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gate2016ec2
numericalanswers
probabilityandstatistics
probability
probabilitydensityfunction
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 $\mid ab \mid$ is ________
asked
Mar 28, 2018
in
Linear Algebra
by
Milicevic3306
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15.8k
points)

17
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gate2016ec2
numericalanswers
linearalgebra
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 _________
asked
Mar 28, 2018
in
Continuoustime Signals
by
Milicevic3306
(
15.8k
points)

29
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gate2016ec2
numericalanswers
continuoustimesignals
discretefouriertransform
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