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GATE ECE 2016 Set 1 | GA Question: 1
Which of the following is CORRECT with respect to grammar and usage? Mount Everest is ____________ the highest peak in the world highest peak in the world one of highest peak in the world one of the highest peak in the world

Milicevic3306 asked in Verbal Aptitude Mar 28, 2018

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GATE ECE 2016 Set 1 | GA Question: 2
The policeman asked the victim of a theft, “What did you______?” loose lose loss louse

Milicevic3306 asked in Verbal Aptitude Mar 28, 2018

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GATE ECE 2016 Set 1 | GA Question: 3
Despite the new medicine’s_____________ in treating diabetes, it is not _____________ widely. effectiveness --- prescribed availability --- used prescription --- available acceptance --- proscribed

Milicevic3306 asked in Verbal Aptitude Mar 28, 2018

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GATE ECE 2016 Set 1 | GA Question: 4
In a huge pile of apples and oranges, both ripe and unripe mixed together,$15\%$ are unripe fruits. Of the unripe fruits, $45 \%$ are apples. Of the ripe ones, $66 \%$ are oranges. If the pile contains a total of $5692000$ fruits, how many of them are apples? $2029198$ $2467482$ $2789080$ $3577422$

Milicevic3306 asked in Quantitative Aptitude Mar 28, 2018

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GATE ECE 2016 Set 1 | GA Question: 5
Michael lives $10$ km away from where I live. Ahmed lives $5$ km away and Susan lives $7$ km away from where I live. Arun is farther away than Ahmed but closer than Susan from where I live. From the information provided here, what is one possible distance (in km) at which I live from Arun’s place? $3.00$ $4.99$ $6.02$ $7.01$

Milicevic3306 asked in Quantitative Aptitude Mar 28, 2018

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GATE ECE 2016 Set 1 | GA Question: 6
A person moving through a tuberculosis prone zone has a $50 \%$ probability of becoming infected. However, only $30 \%$ of infected people develop the disease. What percentage of people moving through a tuberculosis prone zone remains infected but does not show symptoms of disease? $15$ $33$ $35$ $37$

Milicevic3306 asked in Quantitative Aptitude Mar 28, 2018

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7

GATE ECE 2016 Set 1 | GA Question: 7
In a world filled with uncertainty, he was glad to have many good friends. He had always assisted them in times of need and was confident that they would reciprocate. However, the events of the last week proved him wrong. Which of the following inference(s) is/are ... need. His friends did not help him last week. (ⅰ) and (ⅱ) (ⅲ) and (ⅳ) (ⅲ) only (ⅳ) only

Milicevic3306 asked in Verbal Aptitude Mar 28, 2018

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GATE ECE 2016 Set 1 | GA Question: 8
Leela is older than her cousin Pavithra. Pavithra's brother Shiva is older than Leela. When Pavithra and Shiva are visiting Leela, all three like to play chess. Pavithra wins more often than Leela does. Which one of the following statements must ... is the oldest of the three. Shiva is a better chess player than Pavithra. Pavithra is the youngest of the three.

Milicevic3306 asked in Analytical Aptitude Mar 28, 2018

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9

GATE ECE 2016 Set 1 | GA Question: 9
If $q^{-a} = \frac{1}{r}$ and $r^{-b}=\frac{1}{s}$ and $s^{-c} = \frac{1}{q}$ ,the value of $abc$ is______. $(rqs)^{-1}$ $0$ $1$ $r+q+s$

Milicevic3306 asked in Quantitative Aptitude Mar 28, 2018

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10

GATE ECE 2016 Set 1 | GA Question: 10
P, Q, R and S are working on a project. Q can finish the task in $25$ days, working alone for $12$ hours a day. R can finish the task in $50$ days, working alone for $12$ hours per day. Q worked $12$ hours a day but took sick leave in the beginning ... ratio of work done by Q and R after $7$ days from the start of the project? $10:11$ $11: 10$ $20:21$ $21:20$

Milicevic3306 asked in Quantitative Aptitude Mar 28, 2018

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11

GATE ECE 2016 Set 1 | Question: 1
Let $M^4$= $I$,(where $I$ denotes the identity matrix) and $ M \neq I$, $M^2\neq I$ and $M^3\neq I$. Then,for any natural number $k$, $M^{-1}$ equals: $M^{4k+1}$ $M^{4k+2}$ $M^{4k+3}$ $M^{4k}$

Milicevic3306 asked in Linear Algebra Mar 28, 2018

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12

GATE ECE 2016 Set 1 | Question: 2
The second moment of a Poisson-distributed random variable is $2$. The mean of the random variable is _____

Milicevic3306 asked in Probability and Statistics Mar 28, 2018

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13

GATE ECE 2016 Set 1 | Question: 3
Given the following statements about a function $f: \Bbb R \rightarrow \Bbb R$, select the right option: P: If $f(x)$ is continuous at $x = x_0$ then it is also differentiable at $x = x_0$. Q: If $f(x)$ is continuous at $x = x_0$ then it may not be ... is false P is false, Q is true, R is true P is false, Q is true, R is false P is true, Q is false, R is true

Milicevic3306 asked in Calculus Mar 28, 2018

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14

GATE ECE 2016 Set 1 | Question: 4
Which one of the following is a property of the solutions to the Laplace equation: $\nabla^2f = 0$? The solutions have neither maxima nor minima anywhere except at the boundaries. The solutions are not separable in the coordinates. The solutions are not continuous. The solutions are not dependent on the boundary conditions.

Milicevic3306 asked in Network Solution Methods Mar 28, 2018

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15

GATE ECE 2016 Set 1 | Question: 5
Consider the plot $f(x)$ versus $x$ as shown below. Suppose $F(x)= \int_{-5}^{x} f(y) dy$. Which one of the following is a graph of $F(x)$?

Milicevic3306 asked in Control Systems Mar 28, 2018

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16

GATE ECE 2016 Set 1 | Question: 6
Which one of the following is an eigen function of the class of all continuous-time, linear, time-invariant systems ($u(t)$ denotes the unit-step function)? $e^{j\omega_0t}u(t)$ $\cos(\omega_0t)$ $e^{j\omega_0t}$ $\sin(\omega_0t)$

Milicevic3306 asked in Complex Analysis Mar 28, 2018

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17

GATE ECE 2016 Set 1 | Question: 7
A continuous-time function $x(t)$ is periodic with period $T$. The function is sampled uniformly with a sampling period $T_s$. In which one of the following cases is the sampled signal periodic? $T =\sqrt2 \: T_s$ $T = 1.2 \: T_s$ Always Never

Milicevic3306 asked in Continuous-time Signals Mar 28, 2018

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18

GATE ECE 2016 Set 1 | Question: 8
Consider the sequence $x[n] = a^nu[n] + b^nu[n]$, where $u[n]$ denotes the unit-step sequence and $0<\mid a \mid < \mid b \mid<1$. The region of convergence (ROC) of the $Z$-transform of $x[n]$ is $\mid Z \mid > \mid a \mid$ $\mid Z \mid > \mid b \mid$ $\mid Z \mid < \mid a \mid$ $\mid a \mid < \mid Z \mid < \mid b \mid$

Milicevic3306 asked in Numerical Methods Mar 28, 2018

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19

GATE ECE 2016 Set 1 | Question: 9
Consider a two-port network with the transmission matrix: $T = \begin{pmatrix}A & B \\C & D\end{pmatrix}$. If the network is reciprocal, then $T^{-1} = T$ $T^2 = T$ Determinant $(T) = 0$ Determinant $(T) = 1$

Milicevic3306 asked in Network Solution Methods Mar 28, 2018

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20

GATE ECE 2016 Set 1 | Question: 10
A continuous-time sinusoid of frequency $33 Hz$ is multiplied with a periodic Dirac impulse train of frequency $46Hz$. The resulting signal is passed through an ideal analog low-pass filter with a cutoff frequency of $23Hz$. The fundamental frequency (in $Hz$) of the output is _______

Milicevic3306 asked in Continuous-time Signals Mar 28, 2018

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21

GATE ECE 2016 Set 1 | Question: 11
A small percentage of impurity is added to an intrinsic semiconductor at $300 \: K$. Which one of the following statements is true for the energy band diagram shown in the following figure? Intrinsic semiconductor doped with pentavalent ... atoms to form $p$-type semiconductor. Intrinsic semiconductor doped with trivalent atoms to form $p$-type semiconductor.

Milicevic3306 asked in Number Representations Mar 28, 2018

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22

GATE ECE 2016 Set 1 | Question: 12
Consider the following statements for a metal oxide semiconductor field effect transistor (MOSFET): As channel length reduces,OFF-state current increases. As channel length reduces,output resistance increases. As channel length reduces,threshold voltage remains constant. As channel ... . Which of the above statements are INCORRECT? P and Q P and S Q and R R and S

Milicevic3306 asked in Digital Circuits Mar 28, 2018

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23

GATE ECE 2016 Set 1 | Question: 13
Consider the constant current source shown in the figure below. Let $\beta$ represent the current gain of the transistor. The load current $I_0$ through $R_L$ is $I_0 = \bigg( \frac{\beta+1}{\beta} \bigg) \frac{V_{ref}}{R}$ ... $I_0 = \bigg (\frac{\beta}{\beta+1} \bigg) \frac{V_{ref}}{2R}$

Milicevic3306 asked in Electronic Devices Mar 28, 2018

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24

GATE ECE 2016 Set 1 | Question: 14
The following signal $V_i$ of peak voltage $8 \: V$ is applied to the non-inverting terminal of an ideal Op-amp.The transistor has $V_{EE}=0.7 \: V$, $\beta=100; \: V_{LED}=1.5 \: V$, $V_{CC}=10 \: V$ and $ – V_{CC}= – 10 \:V$. The number of times the LED glows is ________

Milicevic3306 asked in Analog Circuits Mar 28, 2018

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25

GATE ECE 2016 Set 1 | Question: 15
Consider the oscillator circuit shown in the figure. The function of the network (shown in dotted lines) consisting of the $100 \: k \Omega$ resistor in series with the two diodes connected back-to-back is to: introduce amplitude ... circuit to oscillate at a single frequency. enable the loop gain to take on a value that produces square wave oscillations.

Milicevic3306 asked in Analog Circuits Mar 28, 2018

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26

GATE ECE 2016 Set 1 | Question: 16
The block diagram of a frequency synthesizer consisting of a Phase Locked Loop (PLL) and a divide-by-$N$ counter (comprising $\div 2, \div 4, \div 8, \div 16$ outputs) is sketched below. The synthesizer is excited with a $5$ kHz signal (Input $1$). The free-running frequency ... $160 \: kHz, 80 \: kHz, 40 \: kHz, 20 \: kHz$

Milicevic3306 asked in Analog Circuits Mar 28, 2018

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27

GATE ECE 2016 Set 1 | Question: 17
The output of the combinational circuit given below is $A+B+C$ $A(B+C)$ $B(C+A)$ $C(A+B)$

Milicevic3306 asked in Analog Circuits Mar 28, 2018

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28

GATE ECE 2016 Set 1 | Question: 18
What is the voltage $V_{out}$ in the following circuit ? $0 V$ ($\mid V_T$ of PMOS$\mid$ + $V_T$ of NMOS)$/2$ Switching threshold of inverter $V_{DD}$

Milicevic3306 asked in Analog Circuits Mar 28, 2018

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29

GATE ECE 2016 Set 1 | Question: 19
Match the inferences $X$, $Y$ and $Z$ ... $X \to R, \: Y \to Q, \: Z \to P$ $X \to P, \: Y \to R, \: Z \to Q$

Milicevic3306 asked in Control Systems Mar 28, 2018

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30

GATE ECE 2016 Set 1 | Question: 20
A closed-loop control system is stable if the Nyquist plot of the corresponding open-loop transfer function encircles the $s$-plane point $(-1+j0)$ in the counter clockwise direction as many times as the number of right-half $s$-plane poles. ... plane point $(-1+j0)$ in the counterclockwise direction as many times as the number of right-half $s$-plane zeroes.

Milicevic3306 asked in Control Systems Mar 28, 2018

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31

GATE ECE 2016 Set 1 | Question: 21
Consider binary data transmission at a rate of $56$ kbps using baseband binary pulse amplitude modulation (PAM) that is designed to have a raised-cosine spectrum. The transmission bandwidth (in kHz) required for a roll-off factor of $0.25$ is ________

Milicevic3306 asked in Communications Mar 28, 2018

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32

GATE ECE 2016 Set 1 | Question: 22
A superheterodyne receiver operates in the frequency range of $58$ MHz – $68$ MHz. The intermediate frequency $f_{IF}$ and local oscillator frequency $f_{LO}$ are chosen such that $f_{IF} \leq f_{LO}$. It is required that the image frequencies fall outside the $58$ MHz – $68$ MHz band. The minimum required $f_{IF}$ (in MHz) is _________

Milicevic3306 asked in Analog Circuits Mar 28, 2018

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33

GATE ECE 2016 Set 1 | Question: 23
The amplitude of a sinusoidal carrier is modulated by a single sinusoid to obtain the amplitude modulated signal $s(t) = 5 \cos1600 \pi t + 20 \cos 1800 \pi t + 5 \cos 2000 \pi t$. The value of the modulation index is _________

Milicevic3306 asked in Network Solution Methods Mar 28, 2018

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34

GATE ECE 2016 Set 1 | Question: 24
Concentric spherical shells of radii $2$m, $4$m, and $8$ m carry uniform surface charge densities of $20 \: nC/m^2$, $ – 4 \: nC/m^2$ and $\rho_s$ respectively. The value of $\rho_s$ ($nC/m^2$) required to ensure that the electric flux density $\overrightarrow D$ = $\overrightarrow 0$ at radius $10$ m is ________

Milicevic3306 asked in Communications Mar 28, 2018

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35

GATE ECE 2016 Set 1 | Question: 25
The propagation constant of a lossy transmission line is $(2+j5) m^{-1}$ and its characteristic impedance is $(50+j0) \Omega$ at $\omega = 10^6 rad \: s^{-1}$ ... $L = 250 \: \mu H/m, C = 0.2 \: \mu F/m, R=50 \: \Omega /m, \: G=0.04 \: S/m$

Milicevic3306 asked in Electromagnetics Mar 28, 2018

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36

GATE ECE 2016 Set 1 | Question: 26
The integral $\frac{1}{2\pi} \iint_D(x+y+10) \,dx\,dy$, where $D$ denotes the disc: $x^2+y^2\leq 4$,evaluates to _________

Milicevic3306 asked in Calculus Mar 28, 2018

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37

GATE ECE 2016 Set 1 | Question: 27
A sequence $x[n]$ is specified as $\begin{bmatrix}x[n] \\x[n – 1]\end{bmatrix}=\begin{bmatrix}1&1\\1&0\end{bmatrix}^n\begin{bmatrix}1\\0\end{bmatrix}$,for $n \geq 2$. The initial conditions are $x[0] = 1$, $x[1] = 1$, and $x[n] = 0$ for $n < 0$. The value of $x[12]$ is _________

Milicevic3306 asked in Linear Algebra Mar 28, 2018

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38

GATE ECE 2016 Set 1 | Question: 28
In the following integral, the contour $C$ encloses the points $2 \pi j$ and $- 2\pi j$ $-\frac{1}{2\pi}\oint_C\frac{\sin z}{(z-2\pi j)^3} \,dz$ The value of the integral is _________

Milicevic3306 asked in Complex Analysis Mar 28, 2018

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39

GATE ECE 2016 Set 1 | Question: 29
The region specified by $\{ (\rho,\varphi,z):3 \leq\rho\leq 5,\frac{\pi}{8}\leq\varphi\leq\frac{\pi}{4}, \: 3\leq z\leq4.5\}$ in cylindrical coordinates has volume of _________

Milicevic3306 asked in Vector Analysis Mar 28, 2018

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GATE ECE 2016 Set 1 | Question: 31
A network consisting of a finite number of linear resistor (R), inductor (L), and capacitor (C) elements, connected all in series or all in parallel, is excited with a source of the form ... $\sum_{k=1}^{3} a_k\cos(k\omega_0t+\phi_k) \\$ $\sum_{k=1}^{2} a_k\cos(k\omega_0t+\phi_k)$

Milicevic3306 asked in Analog Circuits Mar 28, 2018

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