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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

Milicevic3306 asked in Verbal Aptitude Mar 28, 2018

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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

Milicevic3306 asked in Verbal Aptitude Mar 28, 2018

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GATE ECE 2015 Set 1 | GA Question: 3
Choose the word most similar in meaning to the given word: Educe Expert Educate Extract Extend

Milicevic3306 asked in Verbal Aptitude Mar 28, 2018

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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 $(66\,\square\, 6)\rightarrow(66\,\Diamond, 6).$ $-2$ $-1$ $1$ $2$

Milicevic3306 asked in Analytical Aptitude Mar 28, 2018

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GATE ECE 2015 Set 1 | GA Question: 5
If $\log_{x}{(\frac{5}{7})}=\frac{-1}{3},$ then the value of $x$ is $343/125$ $125/343$ $-25/49$ $-49/25$

Milicevic3306 asked in Quantitative Aptitude Mar 28, 2018

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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

Milicevic3306 asked in Verbal Aptitude Mar 28, 2018

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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.

Milicevic3306 asked in Verbal Aptitude Mar 28, 2018

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GATE ECE 2015 Set 1 | GA Question: 8
Fill in the missing value

Milicevic3306 asked in Quantitative Aptitude Mar 28, 2018

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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. $1:4$ $1:3$ $1:2$ $2:3$

Milicevic3306 asked in Quantitative Aptitude Mar 28, 2018

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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.

Milicevic3306 asked in Verbal Aptitude Mar 28, 2018

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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 ___________

Milicevic3306 asked in Linear Algebra Mar 28, 2018

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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 $-1/2$ $-1/3$ $1/3$ $1/2$

Milicevic3306 asked in Calculus Mar 28, 2018

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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? $P(A \cap B) = P(A)P(B)$ $P(A \mid B) = P(A)$ $P(A \cup B) = P(A) + P(B)$ $P(\overline{A} \cap \overline{B} )= P(\overline{A})P(\overline{B})$

Milicevic3306 asked in Probability and Statistics Mar 28, 2018

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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

Milicevic3306 asked in Complex Analysis Mar 28, 2018

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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 _________.

Milicevic3306 asked in Linear Algebra Mar 28, 2018

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GATE ECE 2015 Set 1 | Question: 6
In the circuit shown, at resonance, the amplitude of the sinusoidal voltage (in Volts) across the capacitor is ____________.

Milicevic3306 asked in Network Solution Methods Mar 28, 2018

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GATE ECE 2015 Set 1 | Question: 7
In the network shown in the figure, all resistors are identical with $R = 300 \Omega$. The resistance $R_{ab}$ (in $\Omega$) of the network is __________.

Milicevic3306 asked in Network Solution Methods Mar 28, 2018

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GATE ECE 2015 Set 1 | Question: 8
In the given circuit, the values of $V_1$ and $V_2$ respectively are $5$ V, $25$ V $10$ V, $30$ V $15$ V, $35$ V $0$ V, $20$ V

Milicevic3306 asked in Electronic Devices Mar 28, 2018

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GATE ECE 2015 Set 1 | Question: 9
A region of negative differential resistance is observed in the current voltage characteristics of a silicon PN junction if both the P - region and the N - region are heavily doped the N - region is heavily doped compared to the P - region the P ... doped compared to the N - region an intrinsic silicon region is inserted between the P - region and the N - region

Milicevic3306 asked in Electronic Devices Mar 28, 2018

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20

GATE ECE 2015 Set 1 | Question: 10
A silicon sample is uniformly doped with donor type impurities with a concentration of $10^{16} / cm^3$. The electron and hole mobilities in the sample are $1200 \: cm^2/V-s$ and $400 \: cm^2/V-s$ respectively. Assume complete ionization of impurities. ... an electron is $1.6 \times 10^{-19} \:C$. The resistivity of the sample (in $\Omega - cm$) is ___________.

Milicevic3306 asked in Electronic Devices Mar 28, 2018

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GATE ECE 2015 Set 1 | Question: 11
For the circuit with ideal diodes shown in the figure, the shape of the output $v_{\text{out}}$ for the given sine wave input $v_{\text{in}}$ will be

Milicevic3306 asked in Analog Circuits Mar 28, 2018

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22

GATE ECE 2015 Set 1 | Question: 12
In the circuit shown below, the Zener diode is ideal and the Zener voltage is $6$ V. The output voltage $V_o$ (in volts) is ________.

Milicevic3306 asked in Electronic Devices Mar 28, 2018

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23

GATE ECE 2015 Set 1 | Question: 13
In the circuit shown, the switch SW is thrown from position $A$ to position $B$ at time $t=0$. The energy (in $\mu J$) taken from the $3$ V source to charge the $0.1 \: \mu F$ capacitor from $0$ V t $3$ V is $0.3$ $0.45$ $0.9$ $3$

Milicevic3306 asked in Electronic Devices Mar 28, 2018

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24

GATE ECE 2015 Set 1 | Question: 14
In an 8085 microprocessor, the shift registers which store the result of an addition and the overflow bit are, respectively B and F A and F H and F A and C

Milicevic3306 asked in Digital Circuits Mar 28, 2018

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25

GATE ECE 2015 Set 1 | Question: 15
A $16$ Kb ($=16,384$ bits) memory array is designed as a square with an aspect ratio of one (number of rows is equal to the number of columns). The minimum number of address lines needed for the row decoder is ___________

Milicevic3306 asked in Digital Circuits Mar 28, 2018

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GATE ECE 2015 Set 1 | Question: 16
Consider a four bit $D$ to $A$ converter. The analog value corresponding to digital signals of values $0000$ and $0001$ are $0$ V and $0.0625$ V respectively. The analog value (in Volts) corresponding to the digital signal $1111$ is _________

Milicevic3306 asked in Digital Circuits Mar 28, 2018

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27

GATE ECE 2015 Set 1 | Question: 17
The result of the convolution $x(-t) * \delta (-t-t_0)$ is $x(t+t_0)$ $x(t-t_0)$ $x(-t+t_0)$ $x(-t – t_0)$

Milicevic3306 asked in Continuous-time Signals Mar 28, 2018

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28

GATE ECE 2015 Set 1 | Question: 18
The waveform of a periodic signal $x(t)$ is shown in the figure. A signal $g(t)$ is defined by $g(t) = x \big( \frac{t-1}{2} \big)$. The average power of $g(t)$ is ________

Milicevic3306 asked in Continuous-time Signals Mar 28, 2018

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29

GATE ECE 2015 Set 1 | Question: 19
Negative feedback in a closed-loop control system $\textbf{ DOES NOT}$ reduce the overall gain reduce bandwidth improve disturbance rejection reduce sensitivity to parameter variation

Milicevic3306 asked in Control Systems Mar 28, 2018

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30

GATE ECE 2015 Set 1 | Question: 20
A unity negative feedback system has the open-loop transfer function $G(s) = \frac{K}{s(s+1)(s+3)}$. The value of the gain $K (>0)$ at which the root locus crosses the imaginary axis is ________

Milicevic3306 asked in Control Systems Mar 28, 2018

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31

GATE ECE 2015 Set 1 | Question: 21
The polar plot of the transfer function $G(s) = \frac{10(s+1)}{s+10}$ for $0 \leq \omega < \infty$ will be in the first quadrant second quadrant third quadrant fourth quadrant

Milicevic3306 asked in Electromagnetics Mar 28, 2018

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32

GATE ECE 2015 Set 1 | Question: 22
A sinusoidal signal of $2$ kHz frequency is applied to a delta modulator. The sampling rate and step-size $\Delta$ of the data modulator are $20,000$ samples per second and $0.1$ V, respectively. To prevent slope overload, the maximum amplitude of the sinusoidal signal (in Volts) is $\frac{1}{2 \pi} \\$ $\frac{1}{\pi} \\$ $\frac{2}{\pi} \\$ $\pi$

Milicevic3306 asked in Network Solution Methods Mar 28, 2018

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33

GATE ECE 2015 Set 1 | Question: 23
Consider the signal $s(t)=m(t) \cos(2 \pi \: f_ct)+ \hat{m}(t) \sin(2 \pi f_c t)$ where $\hat{m}(t)$ denotes the Hilbert transform of $m(t)$ and the bandwidth of $m(t)$ is very small compared to $f_c$. The signal $s(t)$ is a high-pass signal low-pass signal band-pass signal double sideband suppressed carrier signal

Milicevic3306 asked in Continuous-time Signals Mar 28, 2018

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34

GATE ECE 2015 Set 1 | Question: 24
Consider a straight, infinitely long, current carrying conductor lying on the z-axis. Which one of the following plots (in linear scale) qualitatively represents the dependence of $H_{\phi}$ on $r$, where $H_{\phi}$ is the magnitude of the azimuthal component of magnetic field outside the conductor and $r$ is the radial distance from the conductor?

Milicevic3306 asked in Carrier Transport Mar 28, 2018

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35

GATE ECE 2015 Set 1 | Question: 25
The electric field component of a plane wave traveling in a lossless dielectric medium is given by $\overrightarrow{E}(z,t) = \hat{a}_y 2 \cos \bigg( 10^st-\frac{z}{\sqrt{2}} \bigg) \: V/m$. The wavelength (in m) for the wave is ___________.

Milicevic3306 asked in Electromagnetics Mar 28, 2018

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36

GATE ECE 2015 Set 1 | Question: 25
The solution of the differential equation $\frac{d^2y}{dt^2} + 2 \frac{dy}{dt}+y=0$ with $y(0)=y’(0)=1$ is $(2-t)e^t$ $(1+2t)e^{-t}$ $(2+t)e^{-t}$ $(1-2t)e^t$

Milicevic3306 asked in Differential Equations Mar 28, 2018

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37

GATE ECE 2015 Set 1 | Question: 25
A vector $\overrightarrow{P}$ is given by $\overrightarrow{P} = x^3y\overrightarrow{a}_x - x^2y^2\overrightarrow{a}_y - x^2 yz \overrightarrow{a}_z$. Which one of the statements is TRUE? $\overrightarrow{P}$ is ... irrotational, but not solenoidal $\overrightarrow{P}$ is neither solenoidal, nor irrotational $\overrightarrow{P}$ is both solenoidal and irrotational

Milicevic3306 asked in Vector Analysis Mar 28, 2018

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38

GATE ECE 2015 Set 1 | Question: 28
Which one of the following graphs describes the function $f(x)=e^{-x}(x^2+x+1)$?

Milicevic3306 asked in Calculus Mar 28, 2018

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39

GATE ECE 2015 Set 1 | Question: 29
The maximum area (in square units) of a rectangle whose vertices lie on the eclipse $x^2+4y^2=1$ is __________.

Milicevic3306 asked in Calculus Mar 28, 2018

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40

GATE ECE 2015 Set 1 | Question: 31
In the circuit shown, switch SW is closed at $t=0$. Assuming zero initial conditions, the value of $v_c(t)$ (in Volts) at $t=1$ sec is _________.

Milicevic3306 asked in Continuous-time Signals Mar 28, 2018

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