Recent questions tagged gate2019-ec

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GATE ECE 2019 | GA Question: 1
The strategies that the company ________ to sell its products _______ house-to-house marketing. use, includes uses, include used, includes uses, including

asked Feb 12, 2019 in Verbal Ability by Arjun (4.4k points) | 162 views

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GATE ECE 2019 | GA Question: 2
The boat arrived ______ dawn. in at on under

asked Feb 12, 2019 in Verbal Ability by Arjun (4.4k points) | 84 views

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GATE ECE 2019 | GA Question: 3
It would take one machine $4$ hours to complete a production order and another machine $2$ hours to complete the same order. If both machines work simultaneously at their respective constant rates, the time taken to complete the same order is ________ hours. $2/3$ $3/4$ $4/3$ $7/3$

asked Feb 12, 2019 in Numerical Ability by Arjun (4.4k points) | 81 views

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GATE ECE 2019 | GA Question: 4
Five different books $(P, Q, R, S, T)$ are to be arranged on a shelf. The books $R$ and $S$ are to be arranged first and second, respectively from the right side of the shelf. The number of different orders in which $P, Q$ and $T$ may be arranged is ______. $2$ $6$ $12$ $120$

asked Feb 12, 2019 in Numerical Ability by Arjun (4.4k points) | 99 views

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GATE ECE 2019 | GA Question: 5
When he did not come home, she _______ him lying dead on the roadside somewhere. concluded looked notice pictured

asked Feb 12, 2019 in Verbal Ability by Arjun (4.4k points) | 73 views

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GATE ECE 2019 | GA Question: 6
Four people are standing in a line facing you. They are Rahul, Mathew, Seema and Lohit. One is an engineer, one is a doctor, one a teacher and another a dancer. You are told that: Mathew is not standing next to Seema There are two people ... is turning to her right to speak to the doctor standing next to her Who among them is an engineer? Seema Lohit Rahul Mathew

asked Feb 12, 2019 in Analytical Aptitude by Arjun (4.4k points) | 127 views

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GATE ECE 2019 | GA Question: 7
The bar graph in panel (a) shows the proportion of male and female illiterates in $2001$ and $2011.$ The proportions of males and females in $2001$ and $2011$ are given in Panel (b) and (c), respectively. The total population did not change during this period. ... in the total number of literates from $2001$ to $2011$ is ______. $30.43$ $33.43$ $34.43$ $35.43$

asked Feb 12, 2019 in Numerical Ability by Arjun (4.4k points) | 153 views

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GATE ECE 2019 | GA Question: 8
"Indian history was written by British historians-extremely well documented and researched, but not always impartial. History had to serve its purpose: Everything was made subservient to the glory of the Union Jack. Latter-day Indian ... was well documented and researched but was sometimes biased was not well documented and researched and was sometimes biased

asked Feb 12, 2019 in Verbal Ability by Arjun (4.4k points) | 64 views

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GATE ECE 2019 | GA Question: 9
Two design consultants, $P$ and $Q,$ started working from $8$ AM for a client. The client budgeted a total of USD $3000$ for the consultants. $P$ stopped working when the hour hand moved by $210$ degrees on the clock. $Q$ stopped working when ... paying the consultants, the client shall have USD _______ remaining in the budget. $000.00$ $166.67$ $300.00$ $433.33$

asked Feb 12, 2019 in Numerical Ability by Arjun (4.4k points) | 86 views

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GATE ECE 2019 | GA Question: 10
Five people $P,Q,R,S$ and $T$ work in a bank. $P$ and $Q$ don't like each other but have to share an office till $T$ gets a promotion and moves to the big office next to the garden $R,$ who is currently sharing an office with $T$ wants to ... $S,$ the handsome new intern. Given the floor plan, what is the current location of $Q, R$ and $T?$ (O=Office, WR=Washroom)

asked Feb 12, 2019 in Analytical Aptitude by Arjun (4.4k points) | 56 views

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GATE ECE 2019 | Question: 1
Which one of the following functions is analytic over the entire complex plane? $\ln(z)$ $e^{1/z}$ $\frac{1}{1-z}$ $\cos(z)$

asked Feb 12, 2019 in Complex Analysis by Arjun (4.4k points) | 226 views

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GATE ECE 2019 | Question: 2
The families of curves represented by the solution of the equation $\frac{dy}{dx}=\: – \left(\frac{x}{y} \right)^n$ for $n=-1$ and $n= +1,$ respectively, are Parabolas and Circles Circles and Hyperbolas Hyperbolas and Circles Hyperbolas and Parabolas

asked Feb 12, 2019 in Differential Equations by Arjun (4.4k points) | 74 views

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GATE ECE 2019 | Question: 3
Let $H(z)$ be the $z-$ transform of a real-valued discrete-time signal $h[n].$ If $P(z) = H(z) H(\frac{1}{z})$ has a zero at $z= \frac{1}{2}+\frac{1}{2}j,$ and $P(z)$ has a total of four zeros, which one of the following plots represents all the zeros correctly?

asked Feb 12, 2019 in Continuous-time Signals by Arjun (4.4k points) | 58 views

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GATE ECE 2019 | Question: 4
Consider the two-port resistive network shown in the figure. When an excitation of $5\: V$ is applied across Port $1$, and Port $2$ is shorted, the current through the short circuit at Port $2$ is measured to be $1\: A$ ... ), what is the current through the short circuit at Port $1?$ $0.5\: A$ $1\: A$ $2\: A$ $2.5\: A$

asked Feb 12, 2019 in Network Solution Methods by Arjun (4.4k points) | 101 views

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GATE ECE 2019 | Question: 5
Let $Y(s)$ be the unit-step response of a causal system having a transfer function $G(s)= \dfrac{3-s}{(s+1)(s+3)}$ that is ,$Y(s)=\dfrac{G(s)}{s}.$ The forced response of the system is $u(t)-2e^{-t}u(t)+e^{-3t}u(t)$ $2u(t)-2e^{-t}u(t)+e^{-3t}u(t)$ $2u(t)$ $u(t)$

asked Feb 12, 2019 in Network Solution Methods by Arjun (4.4k points) | 182 views

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GATE ECE 2019 | Question: 6
For an LTI system, the Bode plot for its gain is as illustrated in the figure shown. The number of system poles $N_{p}$ and the number of system zeros $N_{z}$ in the frequency range $1\: Hz \leq f \leq \:10^{7} Hz $ is $N_{p}=5, N_{z}=2$ $N_{p}=6, N_{z}=3$ $N_{p}=7, N_{z}=4$ $N_{p}=4, N_{z}=2$

asked Feb 12, 2019 in Continuous-time Signals by Arjun (4.4k points) | 88 views

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GATE ECE 2019 | Question: 7
A linear Hamming code is used to map $4-bit$ message to $7-bit$ codewords. The encoder mapping is linear. If the message $0001$ is mapped to the codeword $0000111$, and the message $0011$ is mapped to the codeword $1100110$, then the message $0010$ is mapped to $0010011$ $1100001$ $1111000$ $1111111$

asked Feb 12, 2019 in Communications by Arjun (4.4k points) | 338 views

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GATE ECE 2019 | Question: 8
Which one of the following options describes correctly the equilibrium band diagram at $T=300\:K$ of a Silicon $pnn^{+}\:\:p^{++}$ configuration shown in the figure?

asked Feb 12, 2019 in Electronic Devices by Arjun (4.4k points) | 65 views

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GATE ECE 2019 | Question: 9
The correct circuit representation of the structure shown in the figure is

asked Feb 12, 2019 in Electronic Devices by Arjun (4.4k points) | 128 views

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GATE ECE 2019 | Question: 10
The figure shows the high-frequency C-V curve of a MOS capacitor $(\text{at}\: T=300\: K)$ with $\Phi_{ms}= 0\: V$ and no oxide charges. The flat-band, inversion, and accumulation conditions are represented, respectively, by the points $P,Q,R$ $Q,R,P$ $R,P,Q$ $Q,P,R$

asked Feb 12, 2019 in Electronic Devices by Arjun (4.4k points) | 98 views

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GATE ECE 2019 | Question: 11
What is the electric flux $\left(\int \vec{E}.d \hat{a}\right)$ through a quarter-cylinder of height $H$ (as shown in the figure) due to an infinitely long line charge along the axis of the cylinder with a charge density of $Q?$ $\frac{HQ}{\varepsilon_{0}}$ $\frac{HQ}{4\varepsilon_{0}}$ $\frac{H\varepsilon_{0}}{4Q}$ $\frac{4H}{Q\varepsilon_{0}}$

asked Feb 12, 2019 in Electronic Devices by Arjun (4.4k points) | 234 views

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GATE ECE 2019 | Question: 12
In the table shown, List I and List II, respectively, contain terms appearing on the left-hand side and the right-hand side of Maxwell's equations (in their standard form). Match the left-hand side with the corresponding right-hand side. ... $1-Q,2-R,3-P,4-S$ $1-Q,2-S,3-P,4-R$ $1-R,2-Q,3-S,4-P$

asked Feb 12, 2019 in Electromagnetics by Arjun (4.4k points) | 61 views

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GATE ECE 2019 | Question: 13
A standard CMOS inverter is designed with equal rise and fall times $(\beta_{n}=\beta_{p}).$ If the width of the pMOS transistor in the inverter is increased, what would be the effect on the LOW noise margin $NM_{L}$ and the HIGH noise margin $NM_{H}$? ... . $NM_{L}$ decreases and $NM_{H}$ increases. Both $NM_{L}$ and $NM_{H}$ increases. No change in the noise margins.

asked Feb 12, 2019 in Electronic Devices by Arjun (4.4k points) | 85 views

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GATE ECE 2019 | Question: 14
In the circuit shown, what are the values of $F$ for $EN=0$ and $EN=1,$ respectively? $\text{0 and D}$ $\text{Hi-Z and D}$ $\text{0 and 1}$ $\text{Hi-Z and}$ $ \overline{D}$

asked Feb 12, 2019 in Digital Circuits by Arjun (4.4k points) | 51 views

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GATE ECE 2019 | Question: 15
In the circuit shown, $A$ and $B$ are the inputs and $F$ is the output. What is the functionality of the circuit? Latch XNOR SRAM Cell XOR

asked Feb 12, 2019 in Digital Circuits by Arjun (4.4k points) | 66 views

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GATE ECE 2019 | Question: 16
The value of the contour integral $\frac{1}{2\pi j} \oint\left(z+\frac{1}{z}\right)^{2}dz$ evaluated over the unit circle $\mid z \mid=1$ is_______.

asked Feb 12, 2019 in Calculus by Arjun (4.4k points) | 45 views

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GATE ECE 2019 | Question: 17
The number of distinct eigenvalues of the matrix $A=\begin{bmatrix} 2&2&3&3\\0&1&1&1\\0&0&3&3\\0&0&0&2 \end{bmatrix}$ is equal to ____________.

asked Feb 12, 2019 in Linear Algebra by Arjun (4.4k points) | 65 views

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GATE ECE 2019 | Question: 18
If $X$ and $Y$ are random variables such that $E\left[2X+Y\right]=0$ and $E\left[X+2Y\right]=33$, then $E\left[X\right]+E\left[Y\right]=$___________.

asked Feb 12, 2019 in Probability and Statistics by Arjun (4.4k points) | 41 views

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GATE ECE 2019 | Question: 19
The value of the integral $ \displaystyle{}\int_{0}^{\pi} \int_{y}^{\pi}\dfrac{\sin x}{x}dx\: dy ,$ is equal to __________.

asked Feb 12, 2019 in Calculus by Arjun (4.4k points) | 65 views

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GATE ECE 2019 | Question: 20
Let $Z$ be an exponential random variable with mean $1$. That is, the cumulative distribution function of $Z$ is given by $F_{Z}(x)= \left\{\begin{matrix} 1-e^{-x}& \text{if}\: x \geq 0 \\ 0& \text{if}\: x< 0 \end{matrix}\right.$ Then $Pr\left(Z>2 \mid Z>1\right),$ rounded off to two decimal places, is equal to ___________.

asked Feb 12, 2019 in Probability and Statistics by Arjun (4.4k points) | 85 views

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GATE ECE 2019 | Question: 21
Consider the signal $f(t)=1+2 \cos(\pi t)+3 \sin \left(\dfrac{2\pi}{3}t\right)+4 \cos \left(\dfrac{\pi}{2}t+\dfrac{\pi}{4}\right)$, where $t$ is in seconds. Its fundamental time period, in seconds, is __________.

asked Feb 12, 2019 in Continuous-time Signals by Arjun (4.4k points) | 48 views

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GATE ECE 2019 | Question: 22
The baseband signal $m(t)$ shown in the figure is phase-modulated to generate the $PM$ signal $\varphi(t)=\cos(2\pi f_{c}t+ k\:\: m(t)).$ The time $t$ on the $x-$ axis in the figure is in milliseconds. If the ... ratio of the minimum instantaneous frequency (in kHz) to the maximum instantaneous frequency (in kHz) is _________ (rounded off to $2$ decimal places).

asked Feb 12, 2019 in Continuous-time Signals by Arjun (4.4k points) | 109 views

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GATE ECE 2019 | Question: 23
Radiation resistance of a small dipole current element of length $l$ at a frequency of $3$ GHz is $3$ ohms. If the length is changed by $1\%$, then the percentage change in the radiation resistance, rounded off to two decimal places, is ________ $\%.$

asked Feb 12, 2019 in Electromagnetics by Arjun (4.4k points) | 53 views

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GATE ECE 2019 | Question: 24
In the circuit shown, $V_{s}$ is square wave of period $T$ with maximum and minimum values of $8\: V$ and $-10\: V$, respectively. Assume that the diode is ideal and $R_{1}=R_{2}=50\: \Omega.$ The average value of $V_{L}$ is _______ volts (rounded off to $1$ decimal place).

asked Feb 12, 2019 in Electromagnetics by Arjun (4.4k points) | 88 views

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GATE ECE 2019 | Question: 25
In the circuit shown, the clock frequency, i.e., the frequency of the ClK signal, is $12\:kHz$. The frequency of the signal at $Q_{2}$ is _______ kHz.

asked Feb 12, 2019 in Continuous-time Signals by Arjun (4.4k points) | 77 views

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GATE ECE 2019 | Question: 26
Consider a differentiable function $f(x)$ on the set of real numbers, such that $f(-1)=0$ and $ \mid f’(x) \mid \leq 2.$ Given these conditions, which one of the following inequalities is necessarily true for all $x \in[-2,2]?$ $f(x)\leq \frac{1}{2} \mid x+1 \mid$ $f(x)\leq 2 \mid x+1 \mid $ $f(x)\leq \frac{1}{2} \mid x \mid$ $f(x)\leq 2 \mid x \mid$

asked Feb 12, 2019 in Calculus by Arjun (4.4k points) | 62 views

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GATE ECE 2019 | Question: 27
Consider the line integral $\int_{c} (xdy-ydx)$ the integral being taken in a counterclockwise direction over the closed curve $C$ that forms the boundary of the region $R$ shown in the figure below. The region $R$ is the area enclosed by the union of a $2 \times 3$ ... circle of radius $1$. The line integral evaluates to $6+ \dfrac{\pi}{2}$ $8+\pi$ $12+\pi$ $16+2\pi$

asked Feb 12, 2019 in Calculus by Arjun (4.4k points) | 121 views

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GATE ECE 2019 | Question: 29
It is desired to find a three-tap casual filter which gives zero signal as an output to an input of the form $x[n]= c_{1}exp\left(-\dfrac{j\pi n}{2}\right)+c_{2}\left(\dfrac{j\pi n}{2}\right),$ where $c_{1}$ and $c_{2}$ are arbitrary real numbers. The desired three-tap filter is ... $n$, when $x[n]$ is as given above ? $a=1,b=1$ $a=0,b=-1$ $a=-1,b=1$ $a=0,b=1$

asked Feb 12, 2019 in Control Systems by Arjun (4.4k points) | 93 views

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GATE ECE 2019 | Question: 33
Let the state-space representation of an LTI system be $x(t)=A x(t)+B u(t), y(t)=Cx(t)+du(t)$ where $A,B,C$ are matrices, $d$ is a scalar, $u(t)$ is the input to the system, and $y(t)$ ...

asked Feb 12, 2019 in Continuous-time Signals by Arjun (4.4k points) | 49 views

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GATE ECE 2019 | Question: 35
The quantum efficiency $(\eta)$ and responsivity $(R)$ at wavelength $\lambda \:(\text{in}\: \mu m)$ in a p-i-n photodetector are related by $R= \frac{\eta \times \lambda}{1.24}$ $R= \frac{\lambda}{\eta \times 1.24}$ $R= \frac{1.24 \times\lambda}{\eta}$ $R= \frac{1.24}{\eta \times \lambda}$

asked Feb 12, 2019 in Electronic Devices by Arjun (4.4k points) | 37 views