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2321
GATE ECE 2015 Set 3 | Question: 27
A fair die with faces $\{1, 2, 3, 4, 5, 6\}$ is thrown repeatedly till $’3’$ is observed for the first time. Let $X$ denote the number of times the die is thrown. The expected value of $X$ is _______.
A fair die with faces $\{1, 2, 3, 4, 5, 6\}$ is thrown repeatedly till $’3’$ is observed for the first time. Let $X$ denote the number of times the die is thrown. The...
Milicevic3306
16.0k
points
109
views
Milicevic3306
asked
Mar 27, 2018
Probability and Statistics
gate2015-ec-3
numerical-answers
probability-and-statistics
probability
expectation
+
–
0
votes
0
answers
2322
GATE ECE 2015 Set 3 | Question: 28
Consider the differential equation $\dfrac{\mathrm{d^{2}}x(t) }{\mathrm{d} t^{2}} +3\frac{\mathrm{d}x(t)}{\mathrm{d} t} + 2x(t) = 0. $ Given $x(0) = 20$ and $x(1) = 10/e,$ where $e = 2.718,$ the value of $x(2)$ is ________.
Consider the differential equation$$\dfrac{\mathrm{d^{2}}x(t) }{\mathrm{d} t^{2}} +3\frac{\mathrm{d}x(t)}{\mathrm{d} t} + 2x(t) = 0. $$Given $x(0) = 20$ and $x(1) = 10/e,...
Milicevic3306
16.0k
points
217
views
Milicevic3306
asked
Mar 27, 2018
Differential Equations
gate2015-ec-3
numerical-answers
differential-equations
+
–
0
votes
0
answers
2323
GATE ECE 2015 Set 3 | Question: 29
A vector field $\textbf{D} = 2\rho^{2}\:\textbf{a}_{\rho} + z\: \textbf{a}_{z}$ exists inside a cylindrical region enclosed by the surfaces $\rho =1,z = 0$ and $z = 5.$ Let $S$ be the surface bounding this cylindrical region. The surface integral of this field on $S(∯_{S} \textbf{D.ds})$ is _______.
A vector field $\textbf{D} = 2\rho^{2}\:\textbf{a}_{\rho} + z\: \textbf{a}_{z}$ exists inside a cylindrical region enclosed by the surfaces $\rho =1,z = 0$ and $z = 5.$ ...
Milicevic3306
16.0k
points
136
views
Milicevic3306
asked
Mar 27, 2018
Vector Analysis
gate2015-ec-3
numerical-answers
vector-analysis
+
–
0
votes
0
answers
2324
GATE ECE 2015 Set 3 | Question: 30
In the circuit shown, the current $I$ flowing through the $50\;\Omega$ resistor will be zero if the value of capacitor $C (\text{in}\: \mu F)$ is ______.
In the circuit shown, the current $I$ flowing through the $50\;\Omega$ resistor will be zero if the value of capacitor $C (\text{in}\: \mu F)$ is ______.
Milicevic3306
16.0k
points
100
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Milicevic3306
asked
Mar 27, 2018
Electronic Devices
gate2015-ec-3
numerical-answers
electronic-devices
+
–
1
votes
0
answers
2325
GATE ECE 2015 Set 3 | Question: 31
The $ABCD$ parameters of the following $2$-port network are $\begin{bmatrix}3.5 + j2 & 20.5 \\ 20.5 & 3.5-j2 \end{bmatrix} \\$ $\begin{bmatrix}3.5 +j2 & 30.5 \\ 0.5&3.5-j2 \end{bmatrix} \\$ $\begin{bmatrix}10 &2+j0 \\2+j0 &10 \end{bmatrix} \\$ $\begin{bmatrix}7+j4 &0.5 \\ 30.5&7-j4 \end{bmatrix} $
The $ABCD$ parameters of the following $2$-port network are$\begin{bmatrix}3.5 + j2 & 20.5 \\ 20.5 & 3.5-j2 \end{bmatrix} \\$$\begin{bmatrix}3.5 +j2 & 30.5 \\ 0.5&3.5-j2 ...
Milicevic3306
16.0k
points
134
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2015-ec-3
two-port-network
network-solution-methods
+
–
0
votes
0
answers
2326
GATE ECE 2015 Set 3 | Question: 32
A network is described by the state model as $\dot{x_{1}}=2x_{1}-x_{2}+3u \\ \dot{x_{2}}=-4x_{2}-u \\ y=3x_{1}-2x_{2}$ The transfer function $H(s)\left(=\dfrac{Y(s)}{U(s)}\right)$ is $\dfrac{11s+35}{(s-2)(s+4)} \\$ $\dfrac{11s-35}{(s-2)(s+4)} \\$ $\dfrac{11s+38}{(s-2)(s+4)} \\$ $\dfrac{11s-38}{(s-2)(s+4)}$
A network is described by the state model as $$\dot{x_{1}}=2x_{1}-x_{2}+3u \\ \dot{x_{2}}=-4x_{2}-u \\ y=3x_{1}-2x_{2}$$ The transfer function $H(s)\left(=\dfrac{Y(s)}{...
Milicevic3306
16.0k
points
100
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2015-ec-3
transfer-function
network-solution-methods
+
–
0
votes
0
answers
2327
GATE ECE 2015 Set 3 | Question: 33
The electric field profile in the depletion region of a p-n junction in equilibrium is shown in the figure. Which one of the following statements is NOT TRUE? The left side of the junction is n-type and the right side is p-type Both the n-type and p-type depletion ... $10^{16}\: cm^{-3}$
The electric field profile in the depletion region of a p-n junction in equilibrium is shown in the figure. Which one of the following statements is NOT TRUE?The left sid...
Milicevic3306
16.0k
points
127
views
Milicevic3306
asked
Mar 27, 2018
Electronic Devices
gate2015-ec-3
electronic-devices
p-n-junction
+
–
1
votes
0
answers
2328
GATE ECE 2015 Set 3 | Question: 34
The current in an enhancement mode NMOS transistor biased in saturation mode was measured to be $1\: mA$ at a drain-source voltage of $5\: V.$ When the drain-source voltage was increased to $6\: V$ while keeping gate-source voltage same, the ... the applied drain-source voltage. The channel length modulation parameter $\lambda\:(\text{in}\: V^{-1})$ is _______.
The current in an enhancement mode NMOS transistor biased in saturation mode was measured to be $1\: mA$ at a drain-source voltage of $5\: V.$ When the drain-source volta...
Milicevic3306
16.0k
points
134
views
Milicevic3306
asked
Mar 27, 2018
Analog Circuits
gate2015-ec-3
analog-circuits
nmos-transistor
+
–
0
votes
0
answers
2329
GATE ECE 2015 Set 3 | Question: 35
An npn BJT having reverse saturation current $I_{S} = 10^{-15}\:A$ is biased in the forward active region with $V_{BE} = 700\: mV.$ The thermal voltage $(V_{T})$ is $25\: mV$ and the current gain $(β)$ may vary from $50$ to $150$ due to manufacturing variations. The maximum emitter current $(\text{in}\: \mu A)$ is ________.
An npn BJT having reverse saturation current $I_{S} = 10^{-15}\:A$ is biased in the forward active region with $V_{BE} = 700\: mV.$ The thermal voltage $(V_{T})$ is $25\:...
Milicevic3306
16.0k
points
204
views
Milicevic3306
asked
Mar 27, 2018
Analog Circuits
gate2015-ec-3
numerical-answers
bipolar-junction-transistor
analog-circuits
+
–
0
votes
0
answers
2330
GATE ECE 2015 Set 3 | Question: 36
A three bit pseudo random number generator is shown. Initially the value of output $Y\equiv Y_{2} Y_{1} Y_{0}$ is set to $111.$ The value of output $Y$ after three clock cycles is $000$ $001$ $010$ $100$
A three bit pseudo random number generator is shown. Initially the value of output $Y\equiv Y_{2} Y_{1} Y_{0}$ is set to $111.$ The value of output $Y$ after three clock ...
Milicevic3306
16.0k
points
325
views
Milicevic3306
asked
Mar 27, 2018
Communications
gate2015-ec-3
communications
pseudo-random-number
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–
0
votes
0
answers
2331
GATE ECE 2015 Set 3 | Question: 38
An SR latch is implemented using TTL gates as shown in the figure. The set and reset pulse inputs are provided using the push-button switches. It is observed that the circuit fails to work as desired. The SR latch can be made functional by changing NOR gates to NAND gates inverters to buffers NOR gates to NAND gates and inverters to buffers $5\: V$ to ground
An SR latch is implemented using TTL gates as shown in the figure. The set and reset pulse inputs are provided using the push-button switches. It is observed that the cir...
Milicevic3306
16.0k
points
201
views
Milicevic3306
asked
Mar 27, 2018
Number Representations
gate2015-ec-3
digital-circuits
sequential-circuit
flip-flops
+
–
0
votes
0
answers
2332
GATE ECE 2015 Set 3 | Question: 39
In the circuit shown, assume that the opamp is ideal. If the gain $(v_{0} / v_{in})$ is $–12,$ the value of $R\: (\text{in}\: k\Omega)$ is _____.
In the circuit shown, assume that the opamp is ideal. If the gain $(v_{0} / v_{in})$ is $–12,$ the value of $R\: (\text{in}\: k\Omega)$ is _____.
Milicevic3306
16.0k
points
90
views
Milicevic3306
asked
Mar 27, 2018
Analog Circuits
gate2015-ec-3
analog-circuits
op-amps
+
–
1
votes
0
answers
2333
GATE ECE 2015 Set 3 | Question: 40
In the circuit shown, both the enhancement mode NMOS transistors have the following characteristics:$k_{n} ݇ = \mu _{n}C_{ox}(W/L) = 1\:mA/V^{2};V_{TN} = 1V.$ Assume that the channel length modulation parameter $\lambda$ is zero ... supply voltage ܸ$V_{DD}$ (in volts) needed to ensure that transistor $M_{1}$ operates in saturation mode of operation is _______.
In the circuit shown, both the enhancement mode NMOS transistors have the following characteristics:$k_{n} ݇ = \mu _{n}C_{ox}(W/L) = 1\:mA/V^{2};V_{TN} = 1V.$ Assume tha...
Milicevic3306
16.0k
points
110
views
Milicevic3306
asked
Mar 27, 2018
Analog Circuits
gate2015-ec-3
numerical-answers
analog-circuits
nmos-transistor
+
–
0
votes
0
answers
2334
GATE ECE 2015 Set 3 | Question: 41
In the circuit shown, assume that the diodes $D1$ and $D2$ are ideal. The average value of voltage $V_{ab}\: (\text{in Volts}),$ across terminals $‘a’$ and $‘b’$ is _________.
In the circuit shown, assume that the diodes $D1$ and $D2$ are ideal. The average value of voltage $V_{ab}\: (\text{in Volts}),$ across terminals $‘a’$ and $‘b’$ ...
Milicevic3306
16.0k
points
85
views
Milicevic3306
asked
Mar 27, 2018
Analog Circuits
gate2015-ec-3
numerical-answers
analog-circuits
diodes
+
–
0
votes
0
answers
2335
GATE ECE 2015 Set 3 | Question: 42
Suppose $x[n]$ is an absolutely summable discrete-time signal. Its $z$-transform is a rational function with two poles and two zeroes. The poles are at $z = \pm 2j.$ Which one of the following statements is TRUE for the signal $x[n]$? It is a finite duration signal It is a causal signal It is a non-causal signal It is a periodic signal.
Suppose $x[n]$ is an absolutely summable discrete-time signal. Its $z$-transform is a rational function with two poles and two zeroes. The poles are at $z = \pm 2j.$ Whic...
Milicevic3306
16.0k
points
178
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2015-ec-3
continuous-time-signals
signals-and-systems
fourier-transform
+
–
0
votes
0
answers
2336
GATE ECE 2015 Set 3 | Question: 43
A realization of a stable discrete time system is shown in the figure. If the system is excited by a unit step sequence input $x[n ],$ the response $y[n ]$ is $4\left(-\dfrac{1}{3}\right)^{n}\:u[n]-5\left(-\dfrac{2}{3}\right)^{n}\:u[n]$ ... $5\left(\dfrac{2}{3}\right)^{n}\:u[n]-5\left(\dfrac{1}{3}\right)^{n}\:u[n]$
A realization of a stable discrete time system is shown in the figure. If the system is excited by a unit step sequence input $x[n ],$ the response $y[n ]$ is$4\left(-\df...
Milicevic3306
16.0k
points
149
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2015-ec-3
continuous-time-signals
discrete-time-signals
+
–
0
votes
0
answers
2337
GATE ECE 2015 Set 3 | Question: 44
Let $\widetilde{x}[n] = 1 + \cos\left(\dfrac{\pi n}{8}\right)$ be a periodic signal with period $16.$ Its DFS coefficients are defined by $a_{k} = \displaystyle{}\dfrac{1}{16}\sum_{n=0}^{15}\widetilde{x}[n] \text{exp}\big(-j\dfrac{\pi}{8} kn\big)$ for all $k .$ The value of the coefficient ܽ$a_{31}$ is _______.
Let $\widetilde{x}[n] = 1 + \cos\left(\dfrac{\pi n}{8}\right)$ be a periodic signal with period $16.$ Its DFS coefficients are defined by $a_{k} = \displaystyle{}\dfrac{1...
Milicevic3306
16.0k
points
87
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2015-ec-3
numerical-answers
continuous-time-signals
signals-and-systems
fourier-transform
periodic-signals
+
–
0
votes
0
answers
2338
GATE ECE 2015 Set 3 | Question: 45
Consider a continuous-time signal defined as $x(t)=\left(\dfrac{\sin(\pi t/2)}{(\pi t /2)}\right)\ast \sum _{n=-\infty}^{\infty}\delta(t-10n)$ where $’\ast’$ denotes the convolution operation and $t$ is in seconds. The Nyquist sampling rate $\text{(in samples/sec)}$ for $x(t)$ is _______.
Consider a continuous-time signal defined as$$x(t)=\left(\dfrac{\sin(\pi t/2)}{(\pi t /2)}\right)\ast \sum _{n=-\infty}^{\infty}\delta(t-10n)$$where $’\ast’$ denotes ...
Milicevic3306
16.0k
points
150
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2015-ec-3
numerical-answers
continuous-time-signals
convolution
nyquist
+
–
0
votes
0
answers
2339
GATE ECE 2015 Set 3 | Question: 46
The position control of a DC servo-motor is given in the figure. The values of the parameters are $K_{T}=1 \: N-m/A, R_{a}=1\Omega, L_{a} = 0.1H,J=5kg-m^{2},B=1N-m/(rad/sec)$ and $K_{b} = 1V/(rad/sec) .$ The steady-state position response (in radians) due to unit impulse disturbance torque $T_{d}$ is _______.
The position control of a DC servo-motor is given in the figure. The values of the parameters are $K_{T}=1 \: N-m/A, R_{a}=1\Omega, L_{a} = 0.1H,J=5kg-m^{2},B=1N-m/(rad/s...
Milicevic3306
16.0k
points
249
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2015-ec-3
numerical-answers
network-solution-methods
steady-state
+
–
0
votes
0
answers
2340
GATE ECE 2015 Set 3 | Question: 47
For the system shown in the figure, $s=-2.75$ lies on the root locus if $K$ is _______.
For the system shown in the figure, $s=-2.75$ lies on the root locus if $K$ is _______.
Milicevic3306
16.0k
points
126
views
Milicevic3306
asked
Mar 27, 2018
Control Systems
gate2015-ec-3
numerical-answers
bode-and-root-locus-plots
control-systems
+
–
0
votes
0
answers
2341
GATE ECE 2015 Set 3 | Question: 48
The characteristic equation of an LTI system is given by $F(s) = s^{5} + 2s^{4} + 3s^{3} + 6s^{2} – 4s – 8 = 0.$ The number of roots that lie strictly in the left half $s$-plane is _________.
The characteristic equation of an LTI system is given by $F(s) = s^{5} + 2s^{4} + 3s^{3} + 6s^{2} – 4s – 8 = 0.$ The number of roots that lie strictly in the left hal...
Milicevic3306
16.0k
points
115
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2015-ec-3
numerical-answers
continuous-time-signals
signals-and-systems
linear-time-invariant-systems
+
–
0
votes
0
answers
2342
GATE ECE 2015 Set 3 | Question: 49
Two sequences $x_{1}[n]$ and $x_{2}[n]$ have the same energy. Suppose $x_{1}[n]=\alpha\: 0.5 ^{n}\:u[n],$ where $\alpha$ is a positive real number and $u[n]$is the unit step sequence. Assume ݊$x_{2}[n]= \begin{cases} \sqrt{1.5}& \text{for } n = 0,1 \\ 0 &\text{otherwise.} \end{cases}$ Then the value of $\alpha$ is _________.
Two sequences $x_{1}[n]$ and $x_{2}[n]$ have the same energy. Suppose $x_{1}[n]=\alpha\: 0.5 ^{n}\:u[n],$ where $\alpha$ is a positive real number and $u[n]$is the unit s...
Milicevic3306
16.0k
points
86
views
Milicevic3306
asked
Mar 27, 2018
Digital Circuits
gate2015-ec-3
numerical-answers
digital-circuits
+
–
0
votes
0
answers
2343
GATE ECE 2015 Set 3 | Question: 50
The variance of the random variable $X$ with probability density function $f(x)=\dfrac{1}{2}\mid x \mid e^{- \mid x \mid}$ is __________.
The variance of the random variable $X$ with probability density function $f(x)=\dfrac{1}{2}\mid x \mid e^{- \mid x \mid}$ is __________.
Milicevic3306
16.0k
points
189
views
Milicevic3306
asked
Mar 27, 2018
Probability and Statistics
gate2015-ec-3
numerical-answers
probability-and-statistics
propability
random-variable
variance
+
–
0
votes
0
answers
2344
GATE ECE 2015 Set 3 | Question: 51
The complex envelope of the bandpass signal $x(t)=-\sqrt{2}\left(\dfrac{\sin (\pi t/5)}{\pi t/5}\right)\sin (\pi t - \dfrac{\pi}{4}),$ centered about $f=\dfrac{1}{2}\:Hz,$ is $\left(\dfrac{\sin (\pi t/5)}{\pi t/5}\right)e^{j\dfrac{\pi}{4}}$ ... $\sqrt{2} \left(\dfrac{\sin (\pi t/5)}{\pi t/5}\right)e^{-j\dfrac{\pi}{4}}$
The complex envelope of the bandpass signal $x(t)=-\sqrt{2}\left(\dfrac{\sin (\pi t/5)}{\pi t/5}\right)\sin (\pi t – \dfrac{\pi}{4}),$ centered about $f=\dfrac{1}{2}\:H...
Milicevic3306
16.0k
points
95
views
Milicevic3306
asked
Mar 27, 2018
Complex Analysis
gate2015-ec-3
complex-analysis
+
–
0
votes
0
answers
2345
GATE ECE 2015 Set 3 | Question: 52
A random binary wave $y(t)$ is given by $y(t) = \sum_{n = -\infty}^{\infty}X_{n}\:p(t-nT-\phi)$ where $p(t)=u(t)-u(t-T),u(t)$ is the unit step function and $\phi$ is an independent random variable with uniform distribution in $[0,T].$ ... $R_{yy}\left(\dfrac{3T}{4}\right) \underset{=}{\Delta} E\left[y(t)y\left(t-\dfrac{3T}{4}\right)\right]$ equals _________.
A random binary wave $y(t)$ is given by$$y(t) = \sum_{n = -\infty}^{\infty}X_{n}\:p(t-nT-\phi)$$where $p(t)=u(t)-u(t-T),u(t)$ is the unit step function and $\phi$ is an i...
Milicevic3306
16.0k
points
139
views
Milicevic3306
asked
Mar 27, 2018
Probability and Statistics
gate2015-ec-3
numerical-answers
probability-and-statistics
probability
random-variable
uniform-distribution
+
–
0
votes
0
answers
2346
GATE ECE 2015 Set 3 | Question: 53
Consider the $3\:m$ long lossless air-filled transmission line shown in the figure. It has a characteristic impedance of $120\pi\: \Omega,$ is terminated by a short circuit, and is excited with a frequency of $37.5\: MHz.$ What is the nature of the input impedance $(Z_{in})?$ Open Short Inductive Capacitive
Consider the $3\:m$ long lossless air-filled transmission line shown in the figure. It has a characteristic impedance of $120\pi\: \Omega,$ is terminated by a short circu...
Milicevic3306
16.0k
points
111
views
Milicevic3306
asked
Mar 27, 2018
Electromagnetics
gate2015-ec-3
electromagnetics
impedance
+
–
0
votes
0
answers
2347
GATE ECE 2015 Set 3 | Question: 54
A $200\: m$ long transmission line having parameters shown in the figure is terminated into a load ܴ$R_{L}$. The line is connected to a $400\: V$ source having source resistance $R_{S}$ through a switch, which is closed at $t = 0.$ The transient response of the ... line $(z = 0)$ is also drawn in the figure. The value of $R_{L}\: \text{(in}\: \Omega)$ is ________.
A $200\: m$ long transmission line having parameters shown in the figure is terminated into a load ܴ$R_{L}$. The line is connected to a $400\: V$ source having source re...
Milicevic3306
16.0k
points
152
views
Milicevic3306
asked
Mar 27, 2018
Control Systems
gate2015-ec-3
numerical-answers
control-systems
transient-response
+
–
0
votes
0
answers
2348
GATE ECE 2015 Set 3 | Question: 55
A coaxial capacitor of inner radius $1\: mm$ and outer radius $5\: mm$ has a capacitance per unit length of $172\: pF/m.$ If the ratio of outer radius to inner radius is doubled, the capacitance per unit length $\text{(in}\: pF/m)$ is ________.
A coaxial capacitor of inner radius $1\: mm$ and outer radius $5\: mm$ has a capacitance per unit length of $172\: pF/m.$ If the ratio of outer radius to inner radius is ...
Milicevic3306
16.0k
points
75
views
Milicevic3306
asked
Mar 27, 2018
Electronic Devices
gate2015-ec-3
numerical-answers
electronic-devices
+
–
0
votes
0
answers
2349
GATE ECE 2015 Set 2 | GA Question: 1
Choose the appropriate word/phrase, out of the four options given below, to complete the following sentence: Dhoni, as well as the other team members of Indian team,______ present on the occasion. were was has have
Choose the appropriate word/phrase, out of the four options given below, to complete the following sentence:Dhoni, as well as the other team members of Indian team,______...
Milicevic3306
16.0k
points
82
views
Milicevic3306
asked
Mar 27, 2018
Verbal Aptitude
gate2015-ec-2
verbal-aptitude
most-appropriate-word
+
–
0
votes
0
answers
2350
GATE ECE 2015 Set 2 | GA Question: 2
Choose the word most similar in meaning to the given word: Awkward Inept Graceful Suitable Dreadful
Choose the word most similar in meaning to the given word:AwkwardIneptGracefulSuitableDreadful
Milicevic3306
16.0k
points
94
views
Milicevic3306
asked
Mar 27, 2018
Verbal Aptitude
gate2015-ec-2
verbal-aptitude
most-appropriate-word
+
–
0
votes
0
answers
2351
GATE ECE 2015 Set 2 | GA Question: 3
What is the adverb for the given word below? Misogynous Misogynousness Misogynity Misogynously Misogynous
What is the adverb for the given word below?MisogynousMisogynousnessMisogynityMisogynouslyMisogynous
Milicevic3306
16.0k
points
113
views
Milicevic3306
asked
Mar 27, 2018
Verbal Aptitude
gate2015-ec-2
verbal-aptitude
english-grammar
+
–
0
votes
0
answers
2352
GATE ECE 2015 Set 2 | GA Question: 4
An electric bulb has onboard instruments that report the total electricity consumed since the start of the trip as well as the total distance covered. During a single day of operation, the bus travels on stretches $M, N, O,$ and $P,$ in that order. ... $km$ is minimum is M N O P
An electric bulb has onboard instruments that report the total electricity consumed since the start of the trip as well as the total distance covered. During a single day...
Milicevic3306
16.0k
points
130
views
Milicevic3306
asked
Mar 27, 2018
Quantitative Aptitude
gate2015-ec-2
numerical-ability
data-interpretation
tabular-data
+
–
0
votes
0
answers
2353
GATE ECE 2015 Set 2 | GA Question: 5
Ram and Ramesh appeared in an interview for two vacancies in the same department. The probability of Ram's selection is $1/6$ and that of Ramesh is $1/8$. What is the probability that only one of them will be selected? $47/48$ $1/4$ $13/48$ $35/48$
Ram and Ramesh appeared in an interview for two vacancies in the same department. The probability of Ram's selection is $1/6$ and that of Ramesh is $1/8$. What is the pro...
Milicevic3306
16.0k
points
98
views
Milicevic3306
asked
Mar 27, 2018
Quantitative Aptitude
gate2015-ec-2
numerical-ability
probability
+
–
0
votes
0
answers
2354
GATE ECE 2015 Set 2 | GA Question: 6
In the following sentence certain parts are underlined and marked P,Q and R. One of the parts may contain certain error or may not be acceptable in standard written communication.select the part containing an error. Choose D as your answer if there is no error. ... $P$ $Q$ $R$ $\text{no error}$
In the following sentence certain parts are underlined and marked P,Q and R. One of the parts may contain certain error or may not be acceptable in standard written commu...
Milicevic3306
16.0k
points
121
views
Milicevic3306
asked
Mar 27, 2018
Verbal Aptitude
gate2015-ec-2
verbal-aptitude
english-grammar
+
–
0
votes
0
answers
2355
GATE ECE 2015 Set 2 | GA Question: 7
Given below are two statements followed by two conclusions. Assuming these statements to be true, decide which one logically follows. Statements: All film stars are playback singers. All film directors are film stars Conclusions: All film ... Only conclusion I follows Only conclusion II follows Neither conclusion I nor II follows Both conclusion I and II follows
Given below are two statements followed by two conclusions. Assuming these statements to be true, decide which one logically follows.Statements:All film stars are playbac...
Milicevic3306
16.0k
points
116
views
Milicevic3306
asked
Mar 27, 2018
Analytical Aptitude
gate2015-ec-2
analytical-aptitude
logical-reasoning
statements-follow
+
–
0
votes
0
answers
2356
GATE ECE 2015 Set 2 | GA Question: 8
A tiger is $50$ leaps of its own behind a tree. The tiger takes $5$ leaps per minute to the deer's $4$. If the tiger and the deer cover $8$ meter and $5$ meter per leap respectively, what distance in meters will the tiger have to run before it catches the deer?
A tiger is $50$ leaps of its own behind a tree. The tiger takes $5$ leaps per minute to the deer's $4$. If the tiger and the deer cover $8$ meter and $5$ meter per leap r...
Milicevic3306
16.0k
points
110
views
Milicevic3306
asked
Mar 27, 2018
Quantitative Aptitude
gate2015-ec-2
numerical-answers
numerical-ability
speed-time-distance
+
–
0
votes
0
answers
2357
GATE ECE 2015 Set 2 | GA Question: 9
if $a^2+b^2+c^2=1$ then $ab+bc+ac$ lies in the interval $[1,2/3]$ $[-1/2,1]$ $[-1,1/2]$ $[2,-4]$
if $a^2+b^2+c^2=1$ then $ab+bc+ac$ lies in the interval$[1,2/3]$$[-1/2,1]$$[-1,1/2]$$[2,-4]$
Milicevic3306
16.0k
points
100
views
Milicevic3306
asked
Mar 27, 2018
Quantitative Aptitude
gate2015-ec-2
numerical-ability
polynomials
+
–
0
votes
0
answers
2358
GATE ECE 2015 Set 2 | GA Question: 10
Lamenting the gradual sidelining of the arts in school curricula, a group of prominent artists wrote to the chief minister last year, asking him to allocate more funds to support art education in schools. However, no such increase has been announced in this year's Budget. ... education nowadays (iii) and (iv) (i) and (iv) (i),(ii) and (iv) (i) and (iii)
Lamenting the gradual sidelining of the arts in school curricula, a group of prominent artists wrote to the chief minister last year, asking him to allocate more funds to...
Milicevic3306
16.0k
points
95
views
Milicevic3306
asked
Mar 27, 2018
Verbal Aptitude
gate2015-ec-2
verbal-aptitude
verbal-reasoning
passage-reading
+
–
0
votes
0
answers
2359
GATE ECE 2015 Set 2 | Question: 1
The bilateral Laplace transform of a function $f(t) = \begin{cases} 1 & \text{if } a \leq t \leq b \\ 0 & \text{otherwise} \end{cases}$ is $\dfrac{a-b}{s} \\$ $\dfrac{e^{s}(a-b)}{s} \\$ $\dfrac{e^{-as}-e^{-bs}}{s} \\$ $\dfrac{e^{s(a-b)}}{s}$
The bilateral Laplace transform of a function $f(t) = \begin{cases} 1 & \text{if } a \leq t \leq b \\ 0 & \text{otherwise} \end{cases}$ is$\dfrac{a-b}{s} \\$$\dfrac{e^{s...
Milicevic3306
16.0k
points
218
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2015-ec-2
network-solution-methods
laplace-transform
+
–
0
votes
0
answers
2360
GATE ECE 2015 Set 2 | Question: 2
The value of $x$ for which all the eigen-values of the matrix given below are real is $\begin{bmatrix} 10&5+j &4 \\ x&20 &2 \\4 &2 &-10 \end{bmatrix}$ $5+j$ $5-j$ $1-5j$ $1+5j$
The value of $x$ for which all the eigen-values of the matrix given below are real is $$\begin{bmatrix} 10&5+j &4 \\ x&20 &2 \\4 &2 &-10 \end{bmatrix}$$$5+j$$5-j$$1-5j$$1...
Milicevic3306
16.0k
points
133
views
Milicevic3306
asked
Mar 27, 2018
Linear Algebra
gate2015-ec-2
linear-algebra
matrices
eigen-values
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