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Recent questions tagged gate2016ec3
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1
GATE20163GA1
An apple costs Rs.$10$. An onion costs Rs.$8$. Select the most suitable sentence with respect to grammar and usage. The price of an apple is greater than an onion. The price of an apple is more than onion. The price of an apple is greater than that of an onion. Apples are more costlier than onions.
asked
Mar 28, 2018
in
Numerical Ability
by
Milicevic3306
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15.7k
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gate2016ec3
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2
GATE20163GA2
The Buddha said, “Holding on to anger is like grasping a hot coal with the intent of throwing it at someone else; you are the one who gets burnt. ” Select the word below which is closest in meaning to the word underlined above. burning igniting clutching flinging
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Mar 28, 2018
in
Verbal Ability
by
Milicevic3306
(
15.7k
points)
gate2016ec3
0
votes
1
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3
GATE20163GA3
$M$ has a son $Q$ and a daughter $R.$ He has no other children. $E$ is the mother of $P$ and daughterinlaw of $M.$ How is $P$ related to $M?$ $P$ is the soninlaw of $M$ $P$ is the grandchild of $M$ $P$ is the daughterinlaw of $M$ $P$ is the grandfather of $M$
asked
Mar 28, 2018
in
Numerical Ability
by
Milicevic3306
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15.7k
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gate2016ec3
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4
GATE20163GA4
The number that least fits this set$:(324,441,97$ and $64)$ is $324$ $441$ $97$ $64$
asked
Mar 28, 2018
in
Numerical Ability
by
Milicevic3306
(
15.7k
points)
gate2016ec3
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5
GATE20163GA5
It takes $10$s and $15$s, respectively, for two trains traveling at a different constant speeds to completely pass a telegraph post. The length of the first train is $120$ m and that of the second train is $150$ m. The magnitude of the difference in the speeds of the two trains (in m/s) is _________ $2.0$ $10.0$ $12.0$ $22.0$
asked
Mar 28, 2018
in
Numerical Ability
by
Milicevic3306
(
15.7k
points)
gate2016ec3
0
votes
0
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6
GATE20163GA6
The velocity $V$ of a vehicle along a straight line is measured in m/s and plotted as shown with respect to time in seconds. At the end of the $7$ seconds, how much will the odometer reading increase by (in m)? $0$ $3$ $4$ $5$
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Mar 28, 2018
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Others
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Milicevic3306
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15.7k
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gate2016ec3
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7
GATE20163GA7
The overwhelming number of people infected with rabies in India has been flagged by the World Health Organization as a source of concern. It is estimated that inoculating $70\%$ of pets and stray dogs against rabies can lead to a significant reduction in the ... can be eradicated in India by vaccinating $70\%$ of stray dogs. Stray dogs are the main source of rabies worldwide.
asked
Mar 28, 2018
in
Verbal Ability
by
Milicevic3306
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15.7k
points)
gate2016ec3
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votes
0
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8
GATE20163GA8
A flat is shared by four firstyear undergraduate students. They agreed to allow the oldest of them to enjoy some extra space in the flat. Manu is two months older than Sravan, who is three months younger than Trideep. Pavan is one month older than Sravan. Who should occupy the extra space in the flat? Manu Sravan Trideep Pavan
asked
Mar 28, 2018
in
Numerical Ability
by
Milicevic3306
(
15.7k
points)
gate2016ec3
0
votes
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9
GATE20163GA9
Find the area bounded by the lines $3x+2y=14$, $2x3y=5$ in the first quadrant. $14.95$ $15.25$ $15.70$ $20.35$
asked
Mar 28, 2018
in
Numerical Ability
by
Milicevic3306
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15.7k
points)
gate2016ec3
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10
GATE20163GA10
A straight line is fit to a data set $(\text{ln }x,y).$ This line intercepts the abscissa at $\text{ln } x =0.1$ and has a slope of $0.02$. What is the value of $y$ at $x=5$ from the fit? $0.030$ $0.014$ $0.014$ $0.030$
asked
Mar 28, 2018
in
Numerical Ability
by
Milicevic3306
(
15.7k
points)
gate2016ec3
0
votes
0
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11
GATE201631
Consider a $2\times2$ sqaure matrix $\textbf{A}= \begin{bmatrix} \sigma &x\\ \omega &\sigma \end{bmatrix},$ where $x$ is unknown. If the eigen values of the matrix $\textbf{A}$ are $(\sigma + j\omega)$ and $(\sigma  j\omega)$, then $x$ is equal to $+j\omega$ $j\omega$ $+\omega$ $\omega$
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Mar 28, 2018
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Others
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Milicevic3306
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15.7k
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gate2016ec3
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0
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12
GATE201632
For $f(z)= \large\frac{\sin(z)}{z^2}$, the residue of the pole at $z = 0$ is _______
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Mar 28, 2018
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Others
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Milicevic3306
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15.7k
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gate2016ec3
numericalanswers
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0
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13
GATE201633
The probability of getting a “head” in a single toss of a biased coin is $0.3$. The coin is tossed repeatedly till a head is obtained. If the tosses are independent, then the probability of getting “head” for the first time in the fifth toss is _______
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Mar 28, 2018
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Others
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Milicevic3306
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gate2016ec3
numericalanswers
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14
GATE201634
The integral $\int\limits_{0}^{1}\large\frac{dx}{\sqrt{(1x)}}$ is equal to _______
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Mar 28, 2018
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Others
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Milicevic3306
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15.7k
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gate2016ec3
numericalanswers
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15
GATE201635
Consider the first order initial value problem $y’= y+2xx^2 ,\ y(0)=1,\ (0 \leq x < \infty)$ with exact solution $y(x) = x^2 + e^x$. For $x = 0.1$, the percentage difference between the exact solution and the solution obtained using a single iteration of the secondorder RungaKutta method with stepsize $h=0.1$ is _______
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Mar 28, 2018
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Others
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Milicevic3306
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15.7k
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gate2016ec3
numericalanswers
0
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0
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16
GATE201636
Consider the signal $x(t) = \cos(6\pi t) + \sin (8\pi t)$, where $t$ is in seconds. The Nyquist sampling rate (in samples/second) for the signal $y(t) = x(2t + 5)$ is $8$ $12$ $16$ $32$
asked
Mar 28, 2018
in
Others
by
Milicevic3306
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15.7k
points)
gate2016ec3
0
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0
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17
GATE201637
If the signal $x(t) = \large \frac{\sin(t)}{\pi t}$*$\large \frac{\sin(t)}{\pi t}$ with $*$ denoting the convolution operation, then $x(t)$ is equal to $\large\frac{\sin(t)}{\pi t}$ $\large\frac{\sin(2t)}{2\pi t}$ $\large\frac{2\sin(t)}{\pi t}$ $\bigg(\frac{\sin(t)}{\pi t}\bigg)^2$
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Mar 28, 2018
in
Others
by
Milicevic3306
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15.7k
points)
gate2016ec3
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18
GATE201638
A discretetime signal $x[n] = \delta[n – 3] + 2 \delta[n – 5]$ has $z$transform $X(z)$. If $Y(z) = X(z)$ is the $z$transform of another signal $y[n]$, then $y[n] = x[n]$ $y[n] = x[n]$ $y[n] = x[n]$ $y[n] = x[n]$
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Mar 28, 2018
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Others
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Milicevic3306
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15.7k
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gate2016ec3
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19
GATE201639
In the RLC circuit shown in the figure, the input voltage is given by $v_i(t) = 2\cos (200t) + 4\sin (500t).$ The output voltage $v_o(t)$ is $\cos (200t) + 2\sin (500t)$ $2\cos (200t) + 4\sin (500t)$ $\sin (200t) + 2\cos (500t)$ $2\sin (200t) + 4\cos (500t)$
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Mar 28, 2018
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Others
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Milicevic3306
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15.7k
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gate2016ec3
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20
GATE2016310
The $IV$ characteristics of three types of diodes at the room temperature, made of semiconductors $X, Y$ and $Z$, are shown in the figure. Assume that the diodes are uniformly doped and identical in all respects except their materials. If $E_{gX}$,$E_{gY}$ and $E_{gZ}$ ... $E_{gX}=E_{gY}=E_{gZ}$ $E_{gX}<E_{gY}<E_{gZ}$ no relationship among these band gaps exists.
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Mar 28, 2018
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Milicevic3306
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15.7k
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gate2016ec3
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21
GATE2016311
The figure shows the band diagram of a Metal Oxide Semiconductor (MOS). The surface region of this MOS is in inversion accumulation depletion flat band
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Mar 28, 2018
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Others
by
Milicevic3306
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15.7k
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gate2016ec3
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0
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22
GATE2016312
The figure shows the $IV$ characteristics of a solar cell illuminated uniformly with solar light of power $100\ mW/cm^2$. The solar cell has an area of $3\ cm^2$ and a fill factor of $0.7$. The maximum efficiency (in $\%$) of the device is _______
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Mar 28, 2018
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Milicevic3306
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15.7k
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gate2016ec3
numericalanswers
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0
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23
GATE2016313
The diodes $D1$ and $D2$ in the figure are ideal and the capacitors are identical. The product $RC$ is very large compared to the time period of the ac voltage. Assuming that the diodes do not breakdown in the reverse bias, the output voltage $V_o$(in volt) at the steady state is _______
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Mar 28, 2018
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Milicevic3306
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15.7k
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gate2016ec3
numericalanswers
0
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0
answers
24
GATE2016314
Consider the circuit shown in the figure. Assuming $V_{EE1} = V_{EE2} = 0.7$ volt, the value of the dc voltage $V_{C2}$(in volt) is _______
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Mar 28, 2018
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Others
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Milicevic3306
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15.7k
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gate2016ec3
numericalanswers
0
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0
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25
GATE2016315
In the astable multivibrator circuit shown in the figure, the frequency of oscillation (in kHz) at the output pin $3$ is _______
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Mar 28, 2018
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Milicevic3306
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15.7k
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gate2016ec3
numericalanswers
0
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0
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26
GATE2016316
In an $8085$ microprocessor, the contents of the accumulator and the carry flag are $A7$ (in hex) and $0$, respectively. If the instruction $RLC$ is executed, then the contents of the accumulator (in hex) and the carry flag, respectively, will be $4E$ and $0$ $4E$ and $1$ $4F$ and $0$ $4F$ and $1$
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Mar 28, 2018
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Milicevic3306
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15.7k
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gate2016ec3
0
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0
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27
GATE2016317
The logic functionality realized by the circuit shown below is $OR$ $XOR$ $NAND$ $AND$
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Mar 28, 2018
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Milicevic3306
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15.7k
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gate2016ec3
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0
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28
GATE2016318
The minimum number of $2$input $NAND$ gates required to implement a $2$input $XOR$ gate is $4$ $5$ $6$ $7$
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Mar 28, 2018
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Milicevic3306
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15.7k
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gate2016ec3
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29
GATE2016319
The block diagram of a feedback control system is shown in the figure. The overall closedloop gain of $G$ of the system is $G = \large\frac{G_1G_2}{1+G_1H_1} \\$ $G = \large\frac{G_1G_2}{1+G_1G_2+G_1H_1} \\$ $G = \large\frac{G_1G_2}{1+G_1G_2H_1} \\$ $G = \large\frac{G_1G_2}{1+G_1G_2+G_1G_2H_1}$
asked
Mar 28, 2018
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Others
by
Milicevic3306
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15.7k
points)
gate2016ec3
0
votes
0
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30
GATE2016320
For the unity feedback control system shown in the figure, the openloop transfer function $G(s)$ is given as $G(s) = \frac{2}{s(s+1)}$ The steady state error $e_{ss}$ due to a unit step input is $0$ $0.5$ $1.0$ $\infty$
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Mar 28, 2018
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Milicevic3306
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gate2016ec3
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31
GATE2016321
For a superheterodyne receiver, the intermediate frequency is $15\ MHz$ and the local oscillator frequency is $3.5\ GHz$. If the frequency of the received signal is greater than the local oscillator frequency, then the image frequency (in $MHz$) is _______
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Mar 28, 2018
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gate2016ec3
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32
GATE2016322
An analog baseband signal, bandlimited to $100\ Hz$, is sampled at the Nyquist rate. The samples are quantized into four message symbols that occur independently with probabilities $p_1 = p_4 = 0.125$ and $p_2 = p_3$. The information rate (bits/sec) of the message source is _______
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Mar 28, 2018
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gate2016ec3
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33
GATE2016323
A binary baseband digital communication system employs the signal $p(t) = \begin{cases}\large\frac{1}{\sqrt T_s},&0\leq t\leq T_s \\ \: 0, & \text{otherwise} \end{cases}$ for transmission of bits. The graphical representation of the matched filter output $y(t)$ for this signal will be
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Mar 28, 2018
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gate2016ec3
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34
GATE2016324
If a righthanded circularly polarized wave is incident normally on a plane perfect conductor, then the reflected wave will be righthanded circularly polarized lefthanded circularly polarized elliptically polarized with a tilt angle of $45^ \circ$ horizontally polarized
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Mar 28, 2018
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gate2016ec3
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35
GATE2016325
Faraday's law of electromagnetic induction is mathematically described by which one of the following equations? $\nabla\ \bullet \overrightarrow{B} = 0$ $\nabla\ \bullet \overrightarrow{D} = \rho_V$ ...
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Mar 28, 2018
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gate2016ec3
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36
GATE2016326
The particular solution of the initial value problem given below is $\frac{d^2y}{dx^2}+12\frac{dy}{dx}+36y=0\hspace{0.3cm} \text{ with } \hspace{0.3cm}y(0)=3\hspace{0.3cm} \text{ and }\hspace{0.3cm} \frac{dy}{dx} \bigg _{x=0} =36$ $(318x)e^{6x}$ $(3+25x)e^{6x}$ $(3+20x)e^{6x}$ $(312x)e^{6x}$
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Mar 28, 2018
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gate2016ec3
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37
GATE2016327
If the vectors $e_1=(1,0,2)$, $e_2=(0,1,0)$ and $e_3=(2,0,1)$ form an orthogonal basis of the threedimensional real space $\mathbb{R}^3$, then the vector $\textbf{u}=(4,3,3)\in \mathbb{R}^3 $ can be expressed as $\textbf{u}=$\large\frac{2}{5}$e_13e_2$\ ... $e_1+3e_2+$\large\frac{11}{5}$e_3 \\$ $\textbf{u}=$\large\frac{2}{5}$e_1+3e_2$\large\frac{11}{5}$e_3$
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gate2016ec3
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38
GATE2016331
The ROC (region of convergence) of the $z$transform of a discretetime signal is represented by the shaded region in the $z$plane. If the signal $x[n]=(2.0)^{\mid n\mid},\infty<n<+\infty$, then the ROC of its $z$transform is represented by
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gate2016ec3
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39
GATE2016332
Assume that the circuit in the figure has reached the steady state before time $t = 0$ when the $3\;\Omega$ resistor suddenly burns out, resulting in an open circuit. The current $i(t)$ (in ampere) at $t=0^+$ is _______
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Mar 28, 2018
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gate2016ec3
numericalanswers
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40
GATE2016333
In the figure shown, the current $i$ (in ampere) is _________
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