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2401
GATE ECE 2015 Set 2 | Question: 31
In the circuit shown, the Norton equivalent resistance $(\text{in}\: \Omega)$ across terminals $a-b$ is _______.
In the circuit shown, the Norton equivalent resistance $(\text{in}\: \Omega)$ across terminals $a-b$ is _______.
Milicevic3306
16.0k
points
109
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2015-ec-2
numerical-answers
network-solution-methods
nortons
+
–
0
votes
0
answers
2402
GATE ECE 2015 Set 2 | Question: 32
In the circuit shown, the initial voltages across the capacitors $C_{1}$ and $C_{2}$ are $1\: V$ and $3\: V,$ respectively. The switch is closed at time $t = 0$. The total energy dissipated (in Joules) in the resistor $R$ until steady state is reached, is __________.
In the circuit shown, the initial voltages across the capacitors $C_{1}$ and $C_{2}$ are $1\: V$ and $3\: V,$ respectively. The switch is closed at time $t = 0$. The tota...
Milicevic3306
16.0k
points
144
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2015-ec-2
numerical-answers
network-solution-methods
steady-state
+
–
0
votes
0
answers
2403
GATE ECE 2015 Set 2 | Question: 33
A dc voltage of $10\: V$ is applied across an $n$-type silicon bar having a rectangular cross-section and a length of $1\:cm$ as shown in figure. The donor doping concentration $N_{D}$ and the mobility of electrons $\mu_{n}$ ... The average time $(\text{in}\: \mu s)$ taken by the electrons to move from one end of the bar to other end is ________.
A dc voltage of $10\: V$ is applied across an $n$-type silicon bar having a rectangular cross-section and a length of $1\:cm$ as shown in figure. The donor doping concent...
Milicevic3306
16.0k
points
104
views
Milicevic3306
asked
Mar 27, 2018
Electronic Devices
gate2015-ec-2
numerical-answers
electronic-devices
intrinsic-and-extrinsic-silicon
+
–
0
votes
0
answers
2404
GATE ECE 2015 Set 2 | Question: 34
In a MOS capacitor with an oxide layer thickness of $10\: nm,$ the maximum depletion layer thickness is $100\: nm.$ The permittivities of the semiconductor and the oxide layer are $\varepsilon_{s}$ and $\varepsilon_{ox}$ respectively. ... the ratio of the maximum capacitance to the minimum capacitance of this MOS capacitor is ________.
In a MOS capacitor with an oxide layer thickness of $10\: nm,$ the maximum depletion layer thickness is $100\: nm.$ The permittivities of the semiconductor and the oxide ...
Milicevic3306
16.0k
points
108
views
Milicevic3306
asked
Mar 27, 2018
Electronic Devices
gate2015-ec-2
numerical-answers
electronic-devices
mos-capacitor
+
–
0
votes
0
answers
2405
GATE ECE 2015 Set 2 | Question: 35
The energy band diagram and the electron density profile $n(x)$ in a semiconductor are shown in the figures. Assume that $n(x) = 10^{15}e^{\left(\dfrac{q\alpha x}{kT}\right)}\:cm^{-3} ,$ with $\alpha = 0.1\:V/cm$ and $x$ ... $x=0$ is $-4.4\times 10^{-2}$ $-2.2\times 10^{-2}$ $0$ $2.2\times 10^{-2}$
The energy band diagram and the electron density profile $n(x)$ in a semiconductor are shown in the figures. Assume that $n(x) = 10^{15}e^{\left(\dfrac{q\alpha x}{kT}\rig...
Milicevic3306
16.0k
points
170
views
Milicevic3306
asked
Mar 27, 2018
Electronic Devices
gate2015-ec-2
electronic-devices
+
–
1
votes
0
answers
2406
GATE ECE 2015 Set 2 | Question: 36
A function of Boolean variables $X, Y$ and $Z$ is expressed in terms of the min-terms as $F(X, Y, Z) = \Sigma (1, 2, 5, 6, 7)$ Which one of the product of sums given below is equal to the function $F(X, Y, Z)?$ ...
A function of Boolean variables $X, Y$ and $Z$ is expressed in terms of the min-terms as $$F(X, Y, Z) = \Sigma (1, 2, 5, 6, 7)$$Which one of the product of sums given bel...
Milicevic3306
16.0k
points
149
views
Milicevic3306
asked
Mar 27, 2018
Digital Circuits
gate2015-ec-2
digital-circuits
boolean-algebra
+
–
0
votes
0
answers
2407
GATE ECE 2015 Set 2 | Question: 37
The figure shows a binary counter with synchronous clear input. With the decoding logic shown, the counter works as a mod-$2$ counter mod-$4$ counter mod-$5$ counter mod-$6$ counter
The figure shows a binary counter with synchronous clear input. With the decoding logic shown, the counter works as a mod-$2$ counter mod-$4$ counter mod-$5$ counter mod-...
Milicevic3306
16.0k
points
239
views
Milicevic3306
asked
Mar 27, 2018
Number Representations
gate2015-ec-2
digital-circuits
sequential-circuit
counters
+
–
0
votes
0
answers
2408
GATE ECE 2015 Set 2 | Question: 38
A $1$-to-$8$ demultiplexer with data input $D_{in}$ , address inputs $S_{0}, S_{1}, S_{2}$ (with $S_{0}$ as the LSB) and $\overline{Y_{0}}$ to $\overline{Y_{7}}$ as the eight demultiplexed outputs, is to be designed using two $2$-to-$4$ ... $D_{in}, S_{0}, S_{1}, S_{2} $ $D_{in}, S_{2}, S_{0}, S_{1}$
A $1$-to-$8$ demultiplexer with data input $D_{in}$ , address inputs $S_{0}, S_{1}, S_{2}$ (with $S_{0}$ as the LSB) and $\overline{Y_{0}}$ to $\overline{Y_{7}}$ as the e...
Milicevic3306
16.0k
points
174
views
Milicevic3306
asked
Mar 27, 2018
Digital Circuits
gate2015-ec-2
digital-circuits
combinational-circuits
decoders
+
–
0
votes
0
answers
2409
GATE ECE 2015 Set 2 | Question: 39
The diode in the circuit given below has $V_{ON} = 0.7\:V$ but is ideal otherwise. The current $(\text{in}\: mA)$ in the $4\: k\Omega$ resistor is _______.
The diode in the circuit given below has $V_{ON} = 0.7\:V$ but is ideal otherwise. The current $(\text{in}\: mA)$ in the $4\: k\Omega$ resistor is _______.
Milicevic3306
16.0k
points
116
views
Milicevic3306
asked
Mar 27, 2018
Analog Circuits
gate2015-ec-2
numerical-answers
analog-circuits
diodes
+
–
0
votes
0
answers
2410
GATE ECE 2015 Set 2 | Question: 40
Assuming that the opamp in the circuit shown below is ideal, the output voltage ܸ$V_{o}$ (in volts) is________.
Assuming that the opamp in the circuit shown below is ideal, the output voltage ܸ$V_{o}$ (in volts) is________.
Milicevic3306
16.0k
points
135
views
Milicevic3306
asked
Mar 27, 2018
Analog Circuits
gate2015-ec-2
numerical-answers
analog-circuits
op-amps
+
–
0
votes
0
answers
2411
GATE ECE 2015 Set 2 | Question: 41
For the voltage regulator circuit shown, the input voltage $(V_{in})$ is $20 V \pm 20\%$ and the regulated output voltage $(V_{out})$ is $10\: V.$ Assume the opamp to be ideal. For a load $R_L$ drawing $200\: mA,$ the maximum power dissipation in $Q_{1}\:\text{(in Watts)}$ is ________.
For the voltage regulator circuit shown, the input voltage $(V_{in})$ is $20 V \pm 20\%$ and the regulated output voltage $(V_{out})$ is $10\: V.$ Assume the opamp to be ...
Milicevic3306
16.0k
points
71
views
Milicevic3306
asked
Mar 27, 2018
Analog Circuits
gate2015-ec-2
numerical-answers
analog-circuits
op-amps
+
–
0
votes
0
answers
2412
GATE ECE 2015 Set 2 | Question: 42
In the ac equivalent circuit shown, the two BJTs are biased in active region and have identical parameters with $\beta \gg 1$. The open circuit small signal voltage gain is approximately _______.
In the ac equivalent circuit shown, the two BJTs are biased in active region and have identical parameters with $\beta \gg 1$. The open circuit small signal voltage gain ...
Milicevic3306
16.0k
points
169
views
Milicevic3306
asked
Mar 27, 2018
Analog Circuits
gate2015-ec-2
numerical-answers
analog-circuits
bipolar-junction-transistor
+
–
0
votes
0
answers
2413
GATE ECE 2015 Set 2 | Question: 43
Input $x(t)$ and output $y(t)$ of an LTI system are related by the differential equation $y''(t) - y'(t) - 6y(t) = x(t).$ If the system is neither causal nor stable, the impulse response $h(t)$ of the system is $\dfrac{1}{5}e^{3t}u(-t) + \dfrac{1}{5}e^{-2t}u(-t)$ ... $-\dfrac{1}{5}e^{3t}u(-t) - \dfrac{1}{5}e^{-2t}u(t)$
Input $x(t)$ and output $y(t)$ of an LTI system are related by the differential equation $y’’(t) – y’(t) – 6y(t) = x(t).$ If the system is neither causal nor st...
Milicevic3306
16.0k
points
89
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2015-ec-2
continuous-time-signals
signals-and-systems
linear-time-invariant-systems
+
–
0
votes
0
answers
2414
GATE ECE 2015 Set 2 | Question: 44
Consider two real sequences with time-origin marked by the bold value, $x_{1}[n] = \{\textbf{1},2,3,0\},\:\:x_{2}[n] = \{\textbf{1},3,2,1\}$ Let ܺ$X_{1}(k)$ and ܺ$X_{2}(k)$ be $4$-point DFTs of $x_{1}[n]$ and $x_{2}[n]$, respectively. Another ... $4$-point inverse DFT of $X_{3}(k) = X_{1}(k)X_{2}(k).$ The value of $x_{3}[2]$ is ________.
Consider two real sequences with time-origin marked by the bold value, $$x_{1}[n] = \{\textbf{1},2,3,0\},\:\:x_{2}[n] = \{\textbf{1},3,2,1\}$$ Let ܺ$X_{1}(k)$ and ܺ$X_{...
Milicevic3306
16.0k
points
195
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2015-ec-2
numerical-answers
continuous-time-signals
discrete-fourier-transform
+
–
0
votes
0
answers
2415
GATE ECE 2015 Set 2 | Question: 45
Let $x(t) = \alpha s(t) + s(-t)$ with $s(t) = \beta e^{-4t}u(t),$ where $u(t)$ is unit step function. If the bilateral Laplace transform of $x(t)$ is $X(s) = \dfrac{16}{s^{2} – 16}\:\: -4 < Re\{s\}<4;$ then the value of $\beta$ is ______.
Let $x(t) = \alpha s(t) + s(-t)$ with $s(t) = \beta e^{-4t}u(t),$ where $u(t)$ is unit step function. If the bilateral Laplace transform of $x(t)$ is $$X(s) = \dfrac{1...
Milicevic3306
16.0k
points
202
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2015-ec-2
numerical-answers
network-solution-methods
laplace-transform
+
–
0
votes
0
answers
2416
GATE ECE 2015 Set 2 | Question: 46
The state variable representation of a system is given as $\dot{x} = \begin{bmatrix} 0 &1 \\ 0 &-1 \end{bmatrix}\: ; x(0)=\begin{bmatrix} 1\\0 \end{bmatrix}$ $y=\begin{bmatrix} 0 &1 \end{bmatrix} x$ The response $y(t)$ is $\sin(t)$ $1-e^{t}$ $1-\cos(t)$ $0$
The state variable representation of a system is given as$\dot{x} = \begin{bmatrix} 0 &1 \\ 0 &-1 \end{bmatrix}\: ; x(0)=\begin{bmatrix} 1\\0 \end{bmatrix}$$y=\begin{bm...
Milicevic3306
16.0k
points
101
views
Milicevic3306
asked
Mar 27, 2018
Linear Algebra
gate2015-ec-2
linear-algebra
matrices
+
–
0
votes
0
answers
2417
GATE ECE 2015 Set 2 | Question: 47
The output of a standard second-order system for a unit step input is given as $y(t) = 1-\dfrac{2}{\sqrt{3}}e^{-t}\cos \left(\sqrt{3t}-\dfrac{\pi}{6}\right)$. The transfer function of the system is $\dfrac{2}{(s+2)(s+\sqrt{3})}$ $\dfrac{1}{s^{2}+2s+1}$ $\dfrac{3}{s^{2}+2s+3}$ $\dfrac{3}{s^{2}+2s+4}$
The output of a standard second-order system for a unit step input is given as $y(t) = 1-\dfrac{2}{\sqrt{3}}e^{-t}\cos \left(\sqrt{3t}-\dfrac{\pi}{6}\right)$. The transfe...
Milicevic3306
16.0k
points
109
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2015-ec-2
network-solution-methods
transfer-function
+
–
0
votes
0
answers
2418
GATE ECE 2015 Set 2 | Question: 48
The transfer function of a mass-spring-damper system is given by $G(S) = \dfrac{1}{Ms^{2}+Bs+K}$ ... The unit step response of the system approaches a steady state value of ________.
The transfer function of a mass-spring-damper system is given by $$G(S) = \dfrac{1}{Ms^{2}+Bs+K}$$The frequency response data for the system are given in the following ta...
Milicevic3306
16.0k
points
153
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2015-ec-2
numerical-answers
network-solution-methods
transfer-function
+
–
0
votes
0
answers
2419
GATE ECE 2015 Set 2 | Question: 49
A zero mean white Gaussian noise having power spectral density $\dfrac{N_{0}}{2}$ is passed through an LTI filter whose impulse response $h(t)$ is shown in the figure. The variance of the filtered noise at $t = 4$ is $\dfrac{3}{2}A^{2}N_{0} \\$ $\dfrac{3}{4}A^{2}N_{0} \\$ $A^{2}N_{0} \\$ $\dfrac{1}{2}A^{2}N_{0}$
A zero mean white Gaussian noise having power spectral density $\dfrac{N_{0}}{2}$ is passed through an LTI filter whose impulse response $h(t)$ is shown in the figure. Th...
Milicevic3306
16.0k
points
135
views
Milicevic3306
asked
Mar 27, 2018
Vector Analysis
gate2015-ec-2
vector-analysis
gauss's-theorem
+
–
0
votes
0
answers
2420
GATE ECE 2015 Set 2 | Question: 50
$\begin{Bmatrix} X_{n}\\ \end{Bmatrix}_{n=-\infty}^{n=\infty}$ is an independent and identically distributed (i.i.d.) random process with ܺ$X_{n}$ equally likely to be $+1$ ... The autocorrelation function of $\begin{Bmatrix} Y_{n}\\ \end{Bmatrix}_{n=-\infty}^{n=\infty},$ denoted by $R_{Y}[k],$ is
$\begin{Bmatrix} X_{n}\\ \end{Bmatrix}_{n=-\infty}^{n=\infty}$ is an independent and identically distributed (i.i.d.) random process with ܺ$X_{n}$ equally likely to be $...
Milicevic3306
16.0k
points
116
views
Milicevic3306
asked
Mar 27, 2018
Numerical Methods
gate2015-ec-2
numerical-methods
+
–
0
votes
0
answers
2421
GATE ECE 2015 Set 2 | Question: 51
Consider a binary, digital communication system which uses pulses $g(t)$ and $-g(t)$ for transmitting bits over an AWGN channel. If the receiver uses a matched filter, which one of the following pulses will give the minimum probability of bit error?
Consider a binary, digital communication system which uses pulses $g(t)$ and $-g(t)$ for transmitting bits over an AWGN channel. If the receiver uses a matched filter, wh...
Milicevic3306
16.0k
points
200
views
Milicevic3306
asked
Mar 27, 2018
Communications
gate2015-ec-2
digital-communications
communications
+
–
0
votes
0
answers
2422
GATE ECE 2015 Set 2 | Question: 52
Let $X\in \{0,1\}$ and $Y\in \{0,1\}$ be two independent binary random variables. If $P(X=0)=p$ and $P(Y=0)=q,$ then $P(X+Y\geq 1)$ is equal to $pq+(1-p)(1-q)$ $pq$ $p(1-q)$ $1-pq$
Let $X\in \{0,1\}$ and $Y\in \{0,1\}$ be two independent binary random variables. If $P(X=0)=p$ and $P(Y=0)=q,$ then $P(X+Y\geq 1)$ is equal to$pq+(1-p)(1-q)$$pq$$p(1-q)$...
Milicevic3306
16.0k
points
109
views
Milicevic3306
asked
Mar 27, 2018
Probability and Statistics
gate2015-ec-2
probability-and-statistics
probability
random-variable
+
–
0
votes
0
answers
2423
GATE ECE 2015 Set 2 | Question: 53
An air-filled rectangular waveguide of internal dimensions $a\: cm \times b\: cm\:(a>b)$ has a cutoff frequency of $6\:GHz$ for the dominant $TE_{10}$ mode. For the same waveguide, if the cutoff frequency of the $TM_{11}$mode is $15\: GHz,$ the cutoff frequency of the $TE_{01}$ mode in $GHz$ is __________.
An air-filled rectangular waveguide of internal dimensions $a\: cm \times b\: cm\:(a>b)$ has a cutoff frequency of $6\:GHz$ for the dominant $TE_{10}$ mode. For the same...
Milicevic3306
16.0k
points
137
views
Milicevic3306
asked
Mar 27, 2018
Electromagnetics
gate2015-ec-2
numerical-answers
electromagnetics
waveguides
+
–
0
votes
0
answers
2424
GATE ECE 2015 Set 2 | Question: 54
Two half-wave dipole antennas placed as shown in the figure are excited with sinusoidally varying currents of frequency $3\: MHz$ and phase shift of $\frac{\pi}{2}$ between them (the element at the origin leads in phase). If the maximum radiated ... plane occurs at an azimuthal angle of $60^{\circ},$ the distance $d$ (in meters) between the antennas is _________.
Two half-wave dipole antennas placed as shown in the figure are excited with sinusoidally varying currents of frequency $3\: MHz$ and phase shift of $\frac{\pi}{2}$ betwe...
Milicevic3306
16.0k
points
105
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2015-ec-2
numerical-answers
network-solution-methods
sinusoidal
+
–
0
votes
0
answers
2425
GATE ECE 2015 Set 2 | Question: 55
The electric field of a plane wave propagating in a lossless non-magnetic medium is given by the following expression ... The type of the polarization is Right Hand Circular Left Hand Elliptical Right Hand Elliptical Linear
The electric field of a plane wave propagating in a lossless non-magnetic medium is given by the following expression $$\text{E}(z,t) = \textbf{a}_{x} 5 \cos(2\pi \times ...
Milicevic3306
16.0k
points
108
views
Milicevic3306
asked
Mar 27, 2018
Electromagnetics
gate2015-ec-2
electromagnetics
propagation
+
–
0
votes
0
answers
2426
GATE ECE 2015 Set 1 | GA Question: 1
Choose the most appropriate word from the options give below to complete the following sentence. The principal presented the chief guest with a __________, as token of appreciation. momento memento momentum’ moment
Choose the most appropriate word from the options give below to complete the following sentence.The principal presented the chief guest with a __________, as token of app...
Milicevic3306
16.0k
points
127
views
Milicevic3306
asked
Mar 27, 2018
Verbal Aptitude
gate2015-ec-1
verbal-aptitude
most-appropriate-word
+
–
0
votes
0
answers
2427
GATE ECE 2015 Set 1 | GA Question: 2
Choose the appropriate word\phrase, out of the four options given below, to complete the following sentence : Frogs_______ croak roar hiss patter
Choose the appropriate word\phrase, out of the four options given below, to complete the following sentence :Frogs_______croakroarhisspatter
Milicevic3306
16.0k
points
92
views
Milicevic3306
asked
Mar 27, 2018
Verbal Aptitude
gate2015-ec-1
verbal-aptitude
most-appropriate-word
+
–
0
votes
0
answers
2428
GATE ECE 2015 Set 1 | GA Question: 3
Choose the word most similar in meaning to the given word: Educe Expert Educate Extract Extend
Choose the word most similar in meaning to the given word:EduceExpertEducateExtractExtend
Milicevic3306
16.0k
points
115
views
Milicevic3306
asked
Mar 27, 2018
Verbal Aptitude
gate2015-ec-1
verbal-aptitude
most-appropriate-word
+
–
0
votes
0
answers
2429
GATE ECE 2015 Set 1 | GA Question: 4
Operators $\square,$ $\Diamond$ and $\rightarrow$ are defined by: $a\,\square\,b=\frac{a+b}{a-b};\, a\,\Diamond, b=\frac{a+b}{a-b};$ $a\,\rightarrow\, b=ab.$ Find the value of $(66\,\square\, 6)\rightarrow(66\,\Diamond, 6).$ $-2$ $-1$ $1$ $2$
Operators $\square,$ $\Diamond$ and $\rightarrow$ are defined by: $a\,\square\,b=\frac{a+b}{a-b};\, a\,\Diamond, b=\frac{a+b}{a-b};$ $a\,\rightarrow\, b=ab.$Find the valu...
Milicevic3306
16.0k
points
107
views
Milicevic3306
asked
Mar 27, 2018
Analytical Aptitude
gate2015-ec-1
analytical-aptitude
logical-reasoning
+
–
0
votes
0
answers
2430
GATE ECE 2015 Set 1 | GA Question: 5
If $\log_{x}{(\frac{5}{7})}=\frac{-1}{3},$ then the value of $x$ is $343/125$ $125/343$ $-25/49$ $-49/25$
If $\log_{x}{(\frac{5}{7})}=\frac{-1}{3},$ then the value of $x$ is$343/125$$125/343$$-25/49$$-49/25$
Milicevic3306
16.0k
points
152
views
Milicevic3306
asked
Mar 27, 2018
Quantitative Aptitude
gate2015-ec-1
numerical-ability
logarithms
+
–
0
votes
0
answers
2431
GATE ECE 2015 Set 1 | GA Question: 6
The following question presents a sentence, part of which is underlined. Beneath the sentence, you find four ways of phrasing the underlined part. Following the requirements of the standard written English, select the answer that produces the most effective ... of death has the rank of one of the leading causes of death are one of the leading causes of death
The following question presents a sentence, part of which is underlined. Beneath the sentence, you find four ways of phrasing the underlined part. Following the requireme...
Milicevic3306
16.0k
points
96
views
Milicevic3306
asked
Mar 27, 2018
Verbal Aptitude
gate2015-ec-1
verbal-aptitude
passage-reading
+
–
0
votes
0
answers
2432
GATE ECE 2015 Set 1 | GA Question: 7
Read the following paragraph and choose the correct statement. Climate change has reduced human security and threatened human well being. An ignored reality of human progress is that human security largely depends upon ... to environmental security. Human security is contradictory to environmental security. Human progress depends upon environmental security.
Read the following paragraph and choose the correct statement.Climate change has reduced human security and threatened human well being. An ignored reality of human progr...
Milicevic3306
16.0k
points
94
views
Milicevic3306
asked
Mar 27, 2018
Verbal Aptitude
gate2015-ec-1
verbal-aptitude
passage-reading
+
–
0
votes
0
answers
2433
GATE ECE 2015 Set 1 | GA Question: 8
Fill in the missing value
Fill in the missing value
Milicevic3306
16.0k
points
229
views
Milicevic3306
asked
Mar 27, 2018
Quantitative Aptitude
gate2015-ec-1
numerical-answers
analytical-aptitude
logical-reasoning
sequence-series
+
–
0
votes
0
answers
2434
GATE ECE 2015 Set 1 | GA Question: 9
A cube of side $3$ units is formed using a set of smaller cubes of side $1$ unit. Find the proportion of the number of faces of the smaller cubes visible to those which are NOT visible. $1:4$ $1:3$ $1:2$ $2:3$
A cube of side $3$ units is formed using a set of smaller cubes of side $1$ unit. Find the proportion of the number of faces of the smaller cubes visible to those which a...
Milicevic3306
16.0k
points
104
views
Milicevic3306
asked
Mar 27, 2018
Quantitative Aptitude
gate2015-ec-1
numerical-ability
ratio-proportions
+
–
0
votes
0
answers
2435
GATE ECE 2015 Set 1 | GA Question: 10
Humpty Dumpty sits on a wall every day while having lunch. The wall sometimes breaks. A person sitting in the wall falls if the wall breaks. Which one of the statement below is logically valid and can be inferred from the above sentences? ... lunch Humpty Dumpty never falls during dinner When Humpty Dumpty does not sit on the wall, the wall does not break.
Humpty Dumpty sits on a wall every day while having lunch. The wall sometimes breaks. A person sitting in the wall falls if the wall breaks.Which one of the statement bel...
Milicevic3306
16.0k
points
84
views
Milicevic3306
asked
Mar 27, 2018
Verbal Aptitude
gate2015-ec-1
verbal-aptitude
verbal-reasoning
+
–
0
votes
0
answers
2436
GATE ECE 2015 Set 1 | Question: 1
Consider a system of linear equations: $x-2y+3z=-1, \\ x-3y+4z=1, \text{ and } \\ -2x+4y-6z=k.$ The value of $k$ for which the system has infinitely many solutions is ___________
Consider a system of linear equations:$$x-2y+3z=-1, \\ x-3y+4z=1, \text{ and } \\ -2x+4y-6z=k.$$ The value of $k$ for which the system has infinitely many solutions is __...
Milicevic3306
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Mar 27, 2018
Linear Algebra
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numerical-answers
linear-algebra
system-of-equations
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2437
GATE ECE 2015 Set 1 | Question: 2
A function $f(x)=1-x^2+x^3$ is defined in the closed interval $[-1,1]$. The value of $x$, in the open interval $(-1,1)$ for which the mean value theorem is satisfied, is $-1/2$ $-1/3$ $1/3$ $1/2$
A function $f(x)=1-x^2+x^3$ is defined in the closed interval $[-1,1]$. The value of $x$, in the open interval $(-1,1)$ for which the mean value theorem is satisfied, is$...
Milicevic3306
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Mar 27, 2018
Calculus
gate2015-ec-1
calculus
mean-value-theorem
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2438
GATE ECE 2015 Set 1 | Question: 3
Suppose $A$ and $B$ are two independent events with probabilities $P(A) \neq 0$ and $P(B) \neq 0$. Let $\overline{A}$ and $\overline{B}$ be their complements. Which one of the following statements is FALSE? $P(A \cap B) = P(A)P(B)$ $P(A \mid B) = P(A)$ $P(A \cup B) = P(A) + P(B)$ $P(\overline{A} \cap \overline{B} )= P(\overline{A})P(\overline{B})$
Suppose $A$ and $B$ are two independent events with probabilities $P(A) \neq 0$ and $P(B) \neq 0$. Let $\overline{A}$ and $\overline{B}$ be their complements. Which one o...
Milicevic3306
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Probability and Statistics
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probability-and-statistics
probability
independent-events
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2439
GATE ECE 2015 Set 1 | Question: 4
Let $z=x+iy$ be a complex variable. Consider that contour integration is performed along the unit circle in anticlockwise direction. Which one of the following statements is NOT TRUE? The residue of $\frac{z}{z^2-1}$ at $z=1$ is $1/2$ $\oint_C z^2 dz=0$ $\frac{1}{2 \pi i} \oint_C \frac{1}{z} dz =1$ $\overline{z}$ (complex conjugate of $z$ is an analytical function
Let $z=x+iy$ be a complex variable. Consider that contour integration is performed along the unit circle in anticlockwise direction. Which one of the following statements...
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Complex Analysis
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complex-analysis
analytic-functions
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2440
GATE ECE 2015 Set 1 | Question: 5
The value of $p$ such that the vector $\begin{bmatrix} 1 \\ 2 \\ 3 \end{bmatrix}$ is an eigenvector of the matrix $\begin{bmatrix} 4 & 1 & 2 \\ p & 2 & 1 \\ 14 & -4 & 10 \end{bmatrix}$ is _________.
The value of $p$ such that the vector $\begin{bmatrix} 1 \\ 2 \\ 3 \end{bmatrix}$ is an eigenvector of the matrix $\begin{bmatrix} 4 & 1 & 2 \\ p & 2 & 1 \\ 14 & -4 & 10 ...
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101
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Mar 27, 2018
Linear Algebra
gate2015-ec-1
numerical-answers
linear-algebra
matrices
eigen-values
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