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GATE ECE 2014 Set 1 | GA Question: 1
Choose the most appropriate phrase from the options given below to complete the following sentence. The aircraft _________ take off as soon as its flight plan was filed. is allowed to will be allowed to was allowed to has been allowed to

Milicevic3306 asked in Verbal Aptitude Mar 26, 2018

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GATE ECE 2014 Set 1 | GA Question: 2
Read the statements: All women are entrepreneurs. Some women are doctors. Which of the following conclusions can be logically inferred from the above statements? All women are doctors All doctors are entrepreneurs All entrepreneurs are women Some entrepreneurs are doctors

Milicevic3306 asked in Analytical Aptitude Mar 26, 2018

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GATE ECE 2014 Set 1 | GA Question: 3
Choose the most appropriate word from the options given below to complete the following sentence. Many ancient cultures attributed disease to supernatural causes. However, modern science has largely helped _________ such notions. impel dispel propel repel

Milicevic3306 asked in Verbal Aptitude Mar 26, 2018

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GATE ECE 2014 Set 1 | GA Question: 4
The statistics of runs scored in a series by four batsmen are provided in the following table. Who is the most consistent batsman of these four? ... K L M N

Milicevic3306 asked in Quantitative Aptitude Mar 26, 2018

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GATE ECE 2014 Set 1 | GA Question: 5
What is the next number in the series? $12$ $35$ $81$ $173$ $357$ ________,

Milicevic3306 asked in Quantitative Aptitude Mar 26, 2018

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GATE ECE 2014 Set 1 | GA Question: 6
Find the odd one from the following group: $W,E,K,O \qquad I,Q,W,A \qquad F,N,T,X \qquad N,V,B,D$ $W,E,K,O$ $I,Q,W,A $ $F,N,T,X $ $N,V,B,D$

Milicevic3306 asked in Analytical Aptitude Mar 26, 2018

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GATE ECE 2014 Set 1 | GA Question: 7
For submitting tax returns, all resident males with annual income below $Rs$ $10$ lakh should fill up Form $P$ and all resident females with income below $Rs$ $8$ lakh should fill up Form $Q.$ All people with incomes above $Rs$ $10$ lakh ... $Rs$ $16$ lakh a non-resident female with annual income $Rs$ $16$ lakh

Milicevic3306 asked in Analytical Aptitude Mar 26, 2018

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GATE ECE 2014 Set 1 | GA Question: 8
A train that is $280$ meters long, traveling at a uniform speed, crosses a platform in $60$ seconds and passes a man standing on the platform in $20$ seconds. What is the length of the platform in meters?

Milicevic3306 asked in Quantitative Aptitude Mar 26, 2018

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GATE ECE 2014 Set 1 | GA Question: 9
The exports and imports (in crores of $Rs$.) of a country from $2000$ to $2007$ are given in the following bar chart. If the trade deficit is defined as excess of imports over exports, in which year is the trade deficit $\frac{1}{5}$th of the exports? $2005$ $2004$ $2007$ $2006$

Milicevic3306 asked in Quantitative Aptitude Mar 26, 2018

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GATE ECE 2014 Set 1 | GA Question: 10
You are given three coins: one has heads on both faces, the second has tails on both faces, and the third has a head on one face and a tail on the other. You choose a coin at random and toss it, and it comes up heads. The probability that the other face is tails is $1/4$ $1/3$ $1/2$ $2/3$

Milicevic3306 asked in Quantitative Aptitude Mar 26, 2018

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GATE ECE 2014 Set 1 | Question: 1
For matrices of same dimension $M, N$ and scalar $c$, which one of these properties DOES NOT ALWAYS hold? $(M^{T})^{T} = M$ $(cM)^{T} = c(M)^{T}$ $(M+N)^{T} = M^{T} + N^{T}$ $MN = NM$

Milicevic3306 asked in Linear Algebra Mar 26, 2018

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GATE ECE 2014 Set 1 | Question: 2
In a housing society, half of the families have a single child per family, while the remaining half have two children per family. The probability that a child picked at random, has a sibling is ________.

Milicevic3306 asked in Probability and Statistics Mar 26, 2018

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GATE ECE 2014 Set 1 | Question: 3
$C$ is a closed path in the $z$-plane given by $\mid z \mid = 3.$ The value of the integral $\displaystyle{}\oint_{C}\bigg(\dfrac{z^{2}-z+4j}{z+2j}\bigg)dz$ is $-4\pi(1+j2)$ $4\pi(3-j2)$ $-4\pi(3+j2)$ $4\pi(1-j2)$

Milicevic3306 asked in Complex Analysis Mar 26, 2018

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GATE ECE 2014 Set 1 | Question: 4
A real $(4 \times 4)$ matrix $A$ satisfies the equation $A^{2} = I$, where $I$ is the $(4 \times 4)$ identity matrix. The positive eigen value of $A$ is ______.

Milicevic3306 asked in Linear Algebra Mar 26, 2018

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GATE ECE 2014 Set 1 | Question: 5
Let $X_{1},X_{2},$ and $X_{3}$ be independent and identically distributed random variables with the uniform distribution on $[0,1].$ The probability $P\{X_{1}\: \text{is the largest}\}$ is ________.

Milicevic3306 asked in Probability and Statistics Mar 26, 2018

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16

GATE ECE 2014 Set 1 | Question: 6
For maximum power transfer between two cascaded sections of an electrical network, the relationship between the output impedance $Z_{1}$ of the first section to the input impedance $Z_{2}$ of the second section is $Z_{2} = Z_{1}$ $Z_{2} = -Z_{1}$ $Z_{2} = Z_{1}^{\ast}$ $Z_{2} = -Z_{1}^{\ast}$

Milicevic3306 asked in Electromagnetics Mar 26, 2018

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GATE ECE 2014 Set 1 | Question: 7
Consider the configuration shown in the figure which is a portion of a larger electrical network For $R = 1\: \Omega$ and currents $i_{1} = 2A,i_{4} = -1A,i_{5} = -4A,$ which one of the following is $\textbf{TRUE}?$ ... is sufficient to conclude that the supposed currents are impossible Data is insufficient to identify the currents $i_{2},i_{3},$ and $i_{6}$

Milicevic3306 asked in Network Solution Methods Mar 26, 2018

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GATE ECE 2014 Set 1 | Question: 8
When the optical power incident on a photodiode is $10\:\mu W$ and the responsivity is $0.8\: A/ W,$ the photocurrent generated $(\text{in} \:\mu A)$ is_______.

Milicevic3306 asked in Electronic Devices Mar 26, 2018

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GATE ECE 2014 Set 1 | Question: 9
In the figure, assume that the forward voltage drops of the $PN$ diode $D_{1}$ and Schottky diode $D_{2}$ are $0.7\: V$ and $0.3\: V,$ ... is ON and $D_{2}$ is OFF both $D_{1}$ and $D_{2}$ are OFF $D_{1}$ is OFF and $D_{2}$ is ON

Milicevic3306 asked in Electronic Devices Mar 26, 2018

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GATE ECE 2014 Set 1 | Question: 10
If fixed positive charges are present in the gate oxide of an $n$-channel enhancement type MOSFET, it will lead to a decrease in the threshold voltage channel length modulation an increase in substrate leakage current an increase in accumulation capacitance

Milicevic3306 asked in Analog Circuits Mar 26, 2018

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GATE ECE 2014 Set 1 | Question: 11
A good current buffer has low input impedance and low output impedance low input impedance and high output impedance high input impedance and low output impedance high input impedance and high output impedance

Milicevic3306 asked in Electromagnetics Mar 26, 2018

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22

GATE ECE 2014 Set 1 | Question: 12
In the ac equivalent circuit shown in the figure, if $i_{in}$ is the input current and $R_{F}$ is very large, the type of feedback is voltage-voltage feedback voltage-current feedback current-voltage feedback current-current feedback

Milicevic3306 asked in Analog Circuits Mar 26, 2018

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23

GATE ECE 2014 Set 1 | Question: 13
In the low-pass filter shown in the figure, for a cut-off frequency of $5\:kHz,$ the value of $R_{2}\:(\text{in}\:k\Omega)$ is ______.

Milicevic3306 asked in Analog Circuits Mar 26, 2018

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24

GATE ECE 2014 Set 1 | Question: 14
In the following circuit employing pass transistor logic, all NMOS transistors are identical with a threshold voltage of $1\: V.$ Ignoring the body-effect, the output voltage at $P,Q$ and $R$ are, $4\: V, 3\:V,2\:V$ $5\: V, 5\:V,5\:V$ $4\: V, 4\:V,4\:V$ $5\: V, 4\:V,3\:V$

Milicevic3306 asked in Analog Circuits Mar 26, 2018

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25

GATE ECE 2014 Set 1 | Question: 15
The Boolean expression $(X+Y)(X+\overline{Y}) + \overline{(X\;\overline{Y}) + \overline{X}}$ simplifies to $X$ $Y$ $XY$ $X+Y$

Milicevic3306 asked in Digital Circuits Mar 26, 2018

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26

GATE ECE 2014 Set 1 | Question: 16
Five JK flip-flops are cascaded to form the circuit shown in Figure. Clock pulses at a frequency of $1\: MHz$ are applied as shown. The frequency $(\text{in}\:kHz)$ of the waveform at $Q3$ is ________.

Milicevic3306 asked in Number Representations Mar 26, 2018

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27

GATE ECE 2014 Set 1 | Question: 17
A discrete-time signal $x[n] = \sin(\pi^{2}n),n$ being an integer, is periodic with period $\pi$ periodic with period $\pi^{2}$ periodic with period $\pi/2$ not periodic

Milicevic3306 asked in Continuous-time Signals Mar 26, 2018

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28

GATE ECE 2014 Set 1 | Question: 18
Consider two real valued signals, $x(t)$ band-limited to $[-500\:Hz,500\:Hz]$ and $y(t)$ band-limited to $[-1\:kHz,1\:kHz].$ For $z(t) = x(t)\cdot y(t),$ the Nyquist sampling frequency (in $kHz$) is _______.

Milicevic3306 asked in Control Systems Mar 26, 2018

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GATE ECE 2014 Set 1 | Question: 19
A continuous, linear time-invariant filter has an impulse response $h(t)$ described by $h(t) = \begin{cases}3 & \text{for } 0 \leq t \leq 3 \\ 0 & \text{otherwise} \end{cases}$ When a constant input of value $5$ is applied to this filter, the steady state output is ________.

Milicevic3306 asked in Network Solution Methods Mar 26, 2018

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30

GATE ECE 2014 Set 1 | Question: 20
The forward path transfer function of a unity negative feedback system is given by $G(s) = \frac{K}{(s+2)(s-1)}$. The value of $K$ which will place both the poles of the closed-loop system at the same location, is _______.

Milicevic3306 asked in Network Solution Methods Mar 26, 2018

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GATE ECE 2014 Set 1 | Question: 21
Consider the feedback system shown in the figure. The Nyquist plot of $G(s)$ is also shown. Which one of the following conclusions is correct? $G(s)$ is an all-pass filter $G(s)$ is a strictly proper transfer function $G(s)$ is a stable and minimum-phase transfer function The closed-loop system is unstable for sufficiently large and positive $k$

Milicevic3306 asked in Control Systems Mar 26, 2018

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32

GATE ECE 2014 Set 1 | Question: 22
In a code-division multiple access $(\text{CDMA})$ system with $N = 8$ chips, the maximum number of users who can be assigned mutually orthogonal signature sequences is ________.

Milicevic3306 asked in Communications Mar 26, 2018

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GATE ECE 2014 Set 1 | Question: 23
The capacity of a Binary Symmetric Channel $\text{(BSC)}$ with cross-over probability $0.5$ is ________.

Milicevic3306 asked in Others Mar 26, 2018

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34

GATE ECE 2014 Set 1 | Question: 24
A two-port network has scattering parameters given by $[S] = \begin{bmatrix}s_{11} &s_{12} \\s_{21} &s_{22} \end{bmatrix}.$ If the port-2 of the two-port is short circuited, the $s_{11}$ ... $\dfrac{s_{11} - s_{11}s_{22} + s_{12}s_{21}}{1 - s_{22}}$

Milicevic3306 asked in Network Solution Methods Mar 26, 2018

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GATE ECE 2014 Set 1 | Question: 25
The force on a point charge $+q$ kept at a distance $d$ from the surface of an infinite grounded metal plate in a medium of permittivity $\epsilon\:$ is $0$ $\dfrac{q^{2}}{16\pi \epsilon d^{2}}$ away from the plate $\dfrac{q^{2}}{16\pi \epsilon d^{2}}$ towards the plate $\dfrac{q^{2}}{4\pi \epsilon d^{2}}$ towards the plate

Milicevic3306 asked in Others Mar 26, 2018

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36

GATE ECE 2014 Set 1 | Question: 26
The Taylor series expansion of $3\sin x + 2 \cos x$ is $2 + 3x-x^{2} – \frac{x^{3}}{2} + \dots$ $2 – 3x + x^{2} – \frac{x^{3}}{2} + \dots$ $2 + 3x + x^{2} + \frac{x^{3}}{2} + \dots$ $2 – 3x – x^{2} + \frac{x^{3}}{2} + \dots$

Milicevic3306 asked in Calculus Mar 26, 2018

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37

GATE ECE 2014 Set 1 | Question: 27
For a function $g(t),$ it is given that $\int_{- \infty}^{ + \infty} g(t)e^{-j\omega t}\:dt = \omega e^{-2\omega^{2}}$ for any real value $\omega.$ If $y(t) = \int_{- \infty}^{t}\:g(\tau)\:d\tau,$ then $\int_{- \infty}^{ + \infty}y(t)dt$ is $0$ $-j$ $-\frac{j}{2}$ $\frac{j}{2}$

Milicevic3306 asked in Complex Analysis Mar 26, 2018

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38

GATE ECE 2014 Set 1 | Question: 28
The volume under the surface $z(x,y) = x + y$ and above the triangle in the $x – y$ plane defined by $\{0 \leq y \leq x \: \text{and} \: 0 \leq x \leq 12\}$ is _______.

Milicevic3306 asked in Vector Analysis Mar 26, 2018

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GATE ECE 2014 Set 1 | Question: 29
Consider the matrix ... $\alpha$ is a non-negative real number. The value of $\alpha$ for which $\text{det(P)} = 0$ is _______.

Milicevic3306 asked in Linear Algebra Mar 26, 2018

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GATE ECE 2014 Set 1 | Question: 30
A $Y$-network has resistances of $10\Omega$ each in two of its arms, while the third arm has a resistance of $11\Omega.$ In the equivalent $\Delta$ – network, the lowest value (in $\Omega)$ among the three resistances is ______.

Milicevic3306 asked in Network Solution Methods Mar 26, 2018

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