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2
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GATE2014115
The Boolean expression $(X+Y)(X+\overline{Y}) + \overline{(X\;\overline{Y}) + \overline{X}}$ simplifies to $X$ $Y$ $XY$ $X+Y$
answered
Jan 5
in
Digital Circuits
by
Hira Thakur
(
240
points)
gate2014ec1
digitalcircuits
booleanalgebra
+1
vote
1
answer
2
GATE201831
A fourvariable Boolean function is realized using $4\times 1$ multiplexers as shown in the figure. The minimized expression for $\text{F(U,V,W,X)}$ is $\left ( UV+\overline{U}\:\overline{V}\right )\overline{W}$ ... $\left ( U\:\overline{V}+\overline{U}\:V\right )\left (\overline{W}\: \overline{X}+\overline{W}\:X\right )$
answered
Jan 5
in
Digital Circuits
by
Hira Thakur
(
240
points)
gate2018ec
digitalcircuits
booleanalgebra
0
votes
1
answer
3
GATE2020EC: 10
The figure below shows a multiplexer where $S_{1}$ and $S{2}$ are the select lines, $I_{0}$ to $I_{3}$ are the input data lines, $\text{EN}$ is the enable line, and $\text{F(P, Q, R)}$ is the output. $\text{F}$ is $PQ+\overline{Q}R.$ $PQ+Q\overline{R}.$ $P\overline{Q}R+\overline{P}Q.$ $\overline{Q}+PR.$
answered
Jan 5
in
Digital Circuits
by
Hira Thakur
(
240
points)
gate2020ec
digitalcircuits
multiplexers
+1
vote
1
answer
4
GATE201412
In a housing society, half of the families have a single child per family, while the remaining half have two children per family. The probability that a child picked at random, has a sibling is ________.
answered
Oct 5, 2020
in
Probability and Statistics
by
Gyanu
(
140
points)
gate2014ec1
numericalanswers
probabilityandstatistics
engineeringmathematics
0
votes
1
answer
5
GATE2019 EC: GA9
Two design consultants, $P$ and $Q,$ started working from $8$ AM for a client. The client budgeted a total of USD $3000$ for the consultants. $P$ stopped working when the hour hand moved by $210$ degrees on the clock. $Q$ stopped working when the hour ... . After paying the consultants, the client shall have USD _______ remaining in the budget. $000.00$ $166.67$ $300.00$ $433.33$
answered
Aug 12, 2020
in
Numerical Ability
by
haralk10
(
260
points)
gate2019ec
generalaptitude
numericalability
clock
worktime
0
votes
1
answer
6
GATE2014117
A discretetime signal $x[n] = \sin(\pi^{2}n),n$ being an integer, is periodic with period $\pi$ periodic with period $\pi^{2}$ periodic with period $\pi/2$ not periodic
answered
Aug 12, 2020
in
Continuoustime Signals
by
phenix
(
180
points)
gate2014ec1
continuoustimesignals
discretetimesignals
0
votes
1
answer
7
GATE2020ECGA: 10
The following figure shows the data of students enrolled in $5$ years $(2014 to 2018)$ for two schools $P$ and $Q$. During this period, the ratio of the average number of the students enrolled in school $P$ to the average of the difference of the number of students enrolled in schools $P$ and $Q$ is _______. $8 : 23$ $23 : 8$ $23 : 31$ $31 : 23$
answered
Aug 11, 2020
in
Numerical Ability
by
haralk10
(
260
points)
gate2020ec
0
votes
1
answer
8
GATE2020ECGA: 9
$a, b, c$ are real numbers. The quadratic equation $ax^{2}bx+c=0$ has equal roots, which is $\beta$, then $\beta =b/a$ $\beta^{2} =ac$ $\beta^{3} =bc/\left ( 2a^{2} \right )$ $\beta^{2} \neq 4ac$
answered
Aug 11, 2020
in
Numerical Ability
by
haralk10
(
260
points)
gate2020ec
0
votes
1
answer
9
GATE2020ECGA: 8
A circle with centre $\text{O}$ is shown in the figure. A rectangle $\text{PQRS}$ of maximum possible area is inscribed in the circle. If the radius of the circle is $a$, then the area of the shaded portion is _______. $\pi a^{2}a^{2}$ $\pi a^{2}\sqrt{2}a^{2}$ $\pi a^{2}2a^{2}$ $\pi a^{2}3a^{2}$
answered
Aug 11, 2020
in
Numerical Ability
by
haralk10
(
260
points)
gate2020ec
0
votes
1
answer
10
GATE2014142
The digital logic shown in the figure satisfies the given state diagram when $Q1$ is connected to input $A$ of the XOR gate. Suppose the XOR gate is replaced by an XNOR gate. Which one of the following options preserves the state diagram? Input $A$ ... $Q2$ Input $A$ is connected to $\overline{Q1}$ and $S$ is complemented Input $A$ is connected to $\overline{Q1}$
answered
May 19, 2020
in
Digital Circuits
by
srestha
(
460
points)
gate2014ec1
logicgates
digitalcircuits
0
votes
1
answer
11
GATE2020ECGA: 1
The untimely loss of life is a cause of serious global concern as thousands of people get killed ____ accidents every year while many other die ____ diseases like cardio vascular disease, cancer, etc. in, of from, of during, from from, from
answered
May 10, 2020
in
Numerical Ability
by
Madhav
(
380
points)
gate2020ec
0
votes
1
answer
12
GATE2020ECGA: 2
He was not only accused of theft _____ of conspiracy. rather but also but even rather than
answered
May 10, 2020
in
Numerical Ability
by
Madhav
(
380
points)
gate2020ec
0
votes
1
answer
13
GATE2020ECGA: 3
Select the word that fits the analogy: Explicit: Implicit :: Express: _______ Impress Repress Compress Suppress
answered
May 10, 2020
in
Numerical Ability
by
Madhav
(
380
points)
gate2020ec
0
votes
1
answer
14
GATE2020ECGA: 4
The Canadian constitution requires that equal importance be given to English and French. Last year, Air Canada lost a lawsuit, and had to pay a sixfigure fine to a Frenchspeaking couple after they filed complaints about formal inflight ... the French ones. the English announcements being longer than the French ones. equal importance being given to English and French.
answered
May 10, 2020
in
Numerical Ability
by
Madhav
(
380
points)
gate2020ec
0
votes
1
answer
15
GATE2020ECGA: 5
A superadditive function $f(\cdot)$ satisfies the following property $f\left ( x_{1} +x_{2}\right )\geq f\left ( x_{1} \right ) + f\left ( x_{2} \right )$ Which of the following functions is a superadditive function for $x > 1$? $e^{x}$ $\sqrt{x}$ $1/x$ $e^{x}$
answered
May 10, 2020
in
Numerical Ability
by
Madhav
(
380
points)
gate2020ec
0
votes
1
answer
16
GATE2020ECGA: 6
The global financial crisis in $2008$ is considered to be the most serious worldwide financial crisis, which started with the subprime lending crisis in $\text{USA}$ in $2007$. The subprime lending crisis led to the banking ... $\rightarrow$ East Asian crisis$\rightarrow$ banking crisis$\rightarrow$ subprime lending crisis.
answered
May 10, 2020
in
Numerical Ability
by
Madhav
(
380
points)
gate2020ec
0
votes
1
answer
17
GATE2020ECGA: 7
It is quarter past three in your watch. The angle between the hour hand and the minute hand is ________. $0^{\circ}$ $7.5^{\circ}$ $15^{\circ}$ $22.5^{\circ}$
answered
May 10, 2020
in
Numerical Ability
by
Madhav
(
380
points)
gate2020ec
0
votes
0
answers
18
GATE2020EC: 1
If $v_{1},v_{2}, \dots ,v_{6}$ are six vectors in $\mathbb{R}^{4}$ , which one of the following statements is $\text{FALSE}$? It is not necessary that these vectors span $\mathbb{R}^{4}$ ... $\mathbb{R}^{4}$ , then it forms a basis for $\mathbb{R}^{4}$.
asked
Feb 13, 2020
in
Vector Analysis
by
jothee
(
1.4k
points)
gate2020ec
vectoranalysis
engineeringmathematics
+1
vote
0
answers
19
GATE2020EC: 2
For a vector field $\overrightarrow{A}$, which one of the following is $\text{FALSE}$? $\overrightarrow{A}$ is solenoidal if $\triangledown \cdot \overrightarrow{A}=0.$ $\triangledown \times \overrightarrow{A}$ ...
asked
Feb 13, 2020
in
Vector Analysis
by
jothee
(
1.4k
points)
gate2020ec
engineeringmathematics
vectoranalysis
0
votes
0
answers
20
GATE2020EC: 3
The partial derivative of the function $f(x, y, z) = e^{1x\cos y} + xze^{1/(1+y^{2})}$ with respect to $x$ at the point $(1,0,e)$ is $1$ $0$ $1 \\$ $\dfrac{1}{e}$
asked
Feb 13, 2020
in
Differential Equations
by
jothee
(
1.4k
points)
gate2020ec
partialdifferentialequations
engineeringmathematics
0
votes
0
answers
21
GATE2020EC: 4
The general solution of $\dfrac{\mathrm{d^{2}} y}{\mathrm{d} x^{2}}6\dfrac{\mathrm{d} y}{\mathrm{d} x}+9y=0$ is $y=C_{1}e^{3x}+C_{2}e^{3x}$ $y=(C_{1}+C_{2}x)e^{3x}$ $y=(C_{1}+C_{2}x)e^{3x}$ $y=C_{1}e^{3x}$
asked
Feb 13, 2020
in
Engineering Mathematics
by
jothee
(
1.4k
points)
gate2020ec
engineeringmathematics
0
votes
0
answers
22
GATE2020EC: 5
The output $y[n]$ of a discretetime system for an input $x[n]$ is $y\left [ n \right ]=\underset{\infty \leq k\leq n}{\text{max}} \mid x\left [ k \right ] \mid$ The unit impulse response of the system is $0$ for all $n$. $1$ for all $n$. unit step signal $u\left [ n \right ].$ unit impulse signal $\delta \left [ n \right ].$
asked
Feb 13, 2020
in
Continuoustime Signals
by
jothee
(
1.4k
points)
gate2020ec
continuoustimesignals
signalsandsystems
discretetimesignals
impulseresponse
0
votes
0
answers
23
GATE2020EC: 6
A single crystal intrinsic semiconductor is at a temperature of $300$ $\text{K}$ with effective density of states for holes twice that of electrons. The thermal voltage is $26$ mV. The intrinsic Fermi level is shifted from midbandgap energy level by $18.02 \: meV$ $9.01 \: meV$ $13.45 \: meV$ $26.90 \: meV$
asked
Feb 13, 2020
in
Digital Circuits
by
jothee
(
1.4k
points)
gate2020ec
digitalcircuits
semiconductor
0
votes
0
answers
24
GATE2020EC: 7
Consider the recombination process via bulk traps in a forward biased $pn$ homojunction diode. The maximum recombination rate is $U_{\text{max}}$ ... applied bias. With all other parameters unchanged, $U_{\text{max}}$ increases if the thermal velocity of the carriers increases.
asked
Feb 13, 2020
in
Electronic Devices
by
jothee
(
1.4k
points)
gate2020ec
electronicdevices
0
votes
0
answers
25
GATE2020EC: 8
The components in the circuit shown below are ideal. If the opamp is in positive feedback and the input voltage $V_{i}$ is a sine wave of amplitude $1$ $\text{V}$, the output voltage $V_{o}$ is a noninverted sine wave of $2$ $\text{V}$ amplitude. an inverted sine wave ... amplitude. a square wave of $5$ $\text{V}$ amplitude. a constant of either $+5$ $\text{V}$ or $5$ $\text{V}$.
asked
Feb 13, 2020
in
Communications
by
jothee
(
1.4k
points)
gate2020ec
communications
amplitude
0
votes
0
answers
26
GATE2020EC: 9
In the circuit shown below, the Thevenin voltage $V_{TH}$is $2.4\:V$ $2.8\:V$ $3.6\:V$ $4.5\:V$
asked
Feb 13, 2020
in
Network Solution Methods
by
jothee
(
1.4k
points)
gate2020ec
networksolutionmethods
thevenintheorem
0
votes
0
answers
27
GATE2020EC: 11
The polezero map of a rational function $G(s)$ is shown below. When the closed contour $\Gamma$ is mapped into the $G(s)$plane, then the mapping encircles the origin of the $G(s)$plane once in the counterclockwise direction. the origin of the $G(s)$ ... $1 + j0$ of the $G(s)$plane once in the clockwise direction.
asked
Feb 13, 2020
in
Continuoustime Signals
by
jothee
(
1.4k
points)
gate2020ec
continuoustimesignals
polesandzeros
0
votes
0
answers
28
GATE2020EC: 12
A digital communication system transmits a block of $N$ bits. The probability of error in decoding a bit is $\alpha$. The error event of each bit is independent of the error events of the other bits. The received block is declared erroneous if at least one of its bits is decoded wrongly. The ... $\alpha ^{N}$ $1\alpha ^{N}$ $1\left ( 1\alpha \right )^{N}$
asked
Feb 13, 2020
in
Communications
by
jothee
(
1.4k
points)
gate2020ec
digitalcommunications
communications
0
votes
0
answers
29
GATE2020EC: 13
The impedances $Z=jX,$ for all $X$ in the range $\left ( \infty ,\infty \right )$, map to the Smith chart as a circle of radius $1$ with centre at $(0, 0)$. a point at the centre of the chart. a line passing through the centre of the chart. a circle of radius $0.5$ with centre at $(0.5, 0)$.
asked
Feb 13, 2020
in
Electromagnetics
by
jothee
(
1.4k
points)
gate2020ec
impedance
electromagnetics
0
votes
0
answers
30
GATE2020EC: 14
Which one of the following polezero plots corresponds to the transfer function of an $\text{LTI}$ system characterized by the inputoutput difference equation given below? $y\left [ n \right ]=\sum ^{3}_{k=0}\left ( 1 \right )^{k}x\left [ nk \right ]$
asked
Feb 13, 2020
in
Continuoustime Signals
by
jothee
(
1.4k
points)
gate2020ec
polesandzeros
continuoustimesignals
0
votes
0
answers
31
GATE2020EC: 15
In the given circuit, the twoport network has the impedance matrix $\begin{bmatrix} Z \end{bmatrix}=\begin{bmatrix} 40 & 60\\ 60& 120 \end{bmatrix}$. The value of $Z_{L}$ for which maximum power is transferred to the load is _____________$\Omega$.
asked
Feb 13, 2020
in
Network Solution Methods
by
jothee
(
1.4k
points)
gate2020ec
numericalanswers
networksolutionmethods
twoportnetwork
0
votes
0
answers
32
GATE2020EC: 16
The current in the $\text{RL}$circuit shown below is $i\left ( t \right )=10\cos\left ( 5t\pi /4 \right )A$. The value of the inductor $\text{(rounded off to two decimal places)}$ is _______ $\text{H}$.
asked
Feb 13, 2020
in
Network Solution Methods
by
jothee
(
1.4k
points)
gate2020ec
numericalanswers
networksolutionmethods
0
votes
0
answers
33
GATE2020EC: 17
In the circuit shown below, all the components are ideal and the input voltage is sinusoidal. The magnitude of the steadystate output $V_{o}$ ( rounded off to two decimal places) is ______ $V$.
asked
Feb 13, 2020
in
Network Solution Methods
by
jothee
(
1.4k
points)
gate2020ec
numericalanswers
networksolutionmethods
steadystate
sinusoidal
0
votes
0
answers
34
GATE2020EC: 18
In the circuit shown below, all the components are ideal. If $V_{i}$ is $+2\:V$, the current $I_{o}$ sourced by the opamp is __________ $\text{mA}$.
asked
Feb 13, 2020
in
Analog Circuits
by
jothee
(
1.4k
points)
gate2020ec
numericalanswers
opamps
analogcircuits
0
votes
0
answers
35
GATE2020EC: 19
In an $8085$ microprocessor, the number of address lines required to access a $16$ K byte memory bank is ____________ .
asked
Feb 13, 2020
in
Digital Circuits
by
jothee
(
1.4k
points)
gate2020ec
numericalanswers
digitalcircuits
microprocessor8085
0
votes
0
answers
36
GATE2020EC: 20
A $10$bit D/A converter is calibrated over the full range from $0$ to $10$ V. If the input to the D/A converter is $13 \:A$ (in hex), the output ( rounded off to three decimal places) is __________ $V$.
asked
Feb 13, 2020
in
Digital Circuits
by
jothee
(
1.4k
points)
gate2020ec
numericalanswers
digitalcircuits
dataconverters
0
votes
0
answers
37
GATE2020EC: 21
A transmission line of length $3\lambda /4$ and having a characteristic impedance of $50$ $\Omega$ is terminated with a load of $400 \Omega$. The impedance (rounded off to two decimal places) seen at the input end of the transmission line is __________ $\Omega$.
asked
Feb 13, 2020
in
Electromagnetics
by
jothee
(
1.4k
points)
gate2020ec
numericalanswers
impedance
electromagnetics
0
votes
0
answers
38
GATE2020EC: 22
A binary random variable $X$ takes the value $+2$ or $2$. The probability $P(X=+2)=\alpha $. The value of $\alpha$ (rounded off to one decimal place), for which the entropy of $X$ is maximum, is __________.
asked
Feb 13, 2020
in
Communications
by
jothee
(
1.4k
points)
gate2020ec
numericalanswers
entropy
communications
0
votes
0
answers
39
GATE2020EC: 23
The loop transfer function of a negative feedback system is $G\left ( s \right )H\left ( s \right )=\frac{K(s+11)}{s(s+2)(s+8)}.$ The value of $K$, for which the system is marginally stable, is ___________.
asked
Feb 13, 2020
in
Network Solution Methods
by
jothee
(
1.4k
points)
gate2020ec
numericalanswers
networksolutionmethods
transferfunction
0
votes
0
answers
40
GATE2020EC: 24
The random variable $Y=\int_{\infty }^{\infty }W\left ( t \right )\phi \left ( t \right )dt, \text{ where } \phi \left ( t \right )=\begin{cases} 1; & 5\leq t\leq 7 &\\ 0; & \text{otherwise} \end{cases}$ and $W(t)$ is a real white Gaussian noise process with twosided power spectral density $S_{W}\left ( f \right )=3 W/Hz$, for all $f$. The variance of $Y$ is ________.
asked
Feb 13, 2020
in
Vector Analysis
by
jothee
(
1.4k
points)
gate2020ec
numericalanswers
vectoranalysis
engineeringmathematics
gaussstheorem
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