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Recent questions tagged gate2016-ec-1
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1
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
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Verbal Ability
Mar 28, 2018
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15.8k
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40
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gate2016-ec-1
verbal-ability
english-grammar
0
votes
0
answers
2
GATE ECE 2016 Set 1 | GA Question: 2
The policeman asked the victim of a theft, “What did you______?” loose lose loss louse
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Verbal Ability
Mar 28, 2018
by
Milicevic3306
15.8k
points
28
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gate2016-ec-1
verbal-ability
most-appropriate-word
0
votes
0
answers
3
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
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Verbal Ability
Mar 28, 2018
by
Milicevic3306
15.8k
points
30
views
gate2016-ec-1
verbal-ability
most-appropriate-word
0
votes
0
answers
4
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? $2029198$ $2467482$ $2789080$ $3577422$
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Numerical Ability
Mar 28, 2018
by
Milicevic3306
15.8k
points
23
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gate2016-ec-1
numerical-ability
percentage
0
votes
0
answers
5
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? $3.00$ $4.99$ $6.02$ $7.01$
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Numerical Ability
Mar 28, 2018
by
Milicevic3306
15.8k
points
32
views
gate2016-ec-1
numerical-ability
speed-time-distance
0
votes
0
answers
6
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? $15$ $33$ $35$ $37$
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Numerical Ability
Mar 28, 2018
by
Milicevic3306
15.8k
points
31
views
gate2016-ec-1
numerical-ability
probability
0
votes
0
answers
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
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Verbal Ability
Mar 28, 2018
by
Milicevic3306
15.8k
points
34
views
gate2016-ec-1
verbal-ability
verbal-reasoning
0
votes
0
answers
8
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.
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Analytical Aptitude
Mar 28, 2018
by
Milicevic3306
15.8k
points
25
views
gate2016-ec-1
analytical-aptitude
logical-reasoning
statements-follow
0
votes
0
answers
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______. $(rqs)^{-1}$ $0$ $1$ $r+q+s$
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Numerical Ability
Mar 28, 2018
by
Milicevic3306
15.8k
points
28
views
gate2016-ec-1
numerical-ability
algebra
0
votes
0
answers
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? $10:11$ $11: 10$ $20:21$ $21:20$
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Numerical Ability
Mar 28, 2018
by
Milicevic3306
15.8k
points
145
views
gate2016-ec-1
numerical-ability
work-time
0
votes
0
answers
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: $M^{4k+1}$ $M^{4k+2}$ $M^{4k+3}$ $M^{4k}$
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Linear Algebra
Mar 28, 2018
by
Milicevic3306
15.8k
points
59
views
gate2016-ec-1
linear-algebra
matrices
0
votes
0
answers
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 _____
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Probability and Statistics
Mar 28, 2018
by
Milicevic3306
15.8k
points
32
views
gate2016-ec-1
numerical-answers
probability-and-statistics
probability
poisson-distribution
random-variable
0
votes
0
answers
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
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Calculus
Mar 28, 2018
by
Milicevic3306
15.8k
points
33
views
gate2016-ec-1
calculus
continuity-and-differentiability
0
votes
0
answers
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.
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Network Solution Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
46
views
gate2016-ec-1
network-solution-methods
laplace-transform
0
votes
0
answers
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 $F(x)$?
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Control Systems
Mar 28, 2018
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Milicevic3306
15.8k
points
50
views
gate2016-ec-1
control-systems
bode-and-root-locus-plots
0
votes
0
answers
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)? $e^{j\omega_0t}u(t)$ $\cos(\omega_0t)$ $e^{j\omega_0t}$ $\sin(\omega_0t)$
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Complex Analysis
Mar 28, 2018
by
Milicevic3306
15.8k
points
29
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gate2016-ec-1
complex-analysis
0
votes
0
answers
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
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Continuous-time Signals
Mar 28, 2018
by
Milicevic3306
15.8k
points
50
views
gate2016-ec-1
continuous-time-signals
sampling-theorem
0
votes
0
answers
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 $\mid Z \mid > \mid a \mid$ $\mid Z \mid > \mid b \mid$ $\mid Z \mid < \mid a \mid$ $\mid a \mid < \mid Z \mid < \mid b \mid$
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Numerical Methods
Mar 28, 2018
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Milicevic3306
15.8k
points
26
views
gate2016-ec-1
numerical-methods
engineering-mathematics
convergence-criteria
0
votes
0
answers
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 $(T) = 1$
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Network Solution Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
24
views
gate2016-ec-1
network-solution-methods
two-port-network
0
votes
0
answers
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 _______
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Continuous-time Signals
Mar 28, 2018
by
Milicevic3306
15.8k
points
41
views
gate2016-ec-1
numerical-answers
continuous-time-signals
to-be-tagged
0
votes
0
answers
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.
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Number Representations
Mar 28, 2018
by
Milicevic3306
15.8k
points
56
views
gate2016-ec-1
digital-circuits
semiconductor
0
votes
0
answers
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
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Digital Circuits
Mar 28, 2018
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Milicevic3306
15.8k
points
46
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gate2016-ec-1
digital-circuits
semiconductor
mosfet
0
votes
0
answers
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 $I_0 = \bigg( \frac{\beta+1}{\beta} \bigg) \frac{V_{ref}}{R}$ ... $I_0 = \bigg (\frac{\beta}{\beta+1} \bigg) \frac{V_{ref}}{2R}$
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Electronic Devices
Mar 28, 2018
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Milicevic3306
15.8k
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33
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gate2016-ec-1
electronic-devices
0
votes
0
answers
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 ________
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Analog Circuits
Mar 28, 2018
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Milicevic3306
15.8k
points
40
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gate2016-ec-1
numerical-answers
analog-circuits
op-amps
0
votes
0
answers
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.
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Analog Circuits
Mar 28, 2018
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Milicevic3306
15.8k
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32
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gate2016-ec-1
analog-circuits
oscillator
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votes
0
answers
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 ... $160 \: kHz, 80 \: kHz, 40 \: kHz, 20 \: kHz$
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Analog Circuits
Mar 28, 2018
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Milicevic3306
15.8k
points
34
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gate2016-ec-1
analog-circuits
0
votes
0
answers
27
GATE ECE 2016 Set 1 | Question: 17
The output of the combinational circuit given below is $A+B+C$ $A(B+C)$ $B(C+A)$ $C(A+B)$
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Analog Circuits
Mar 28, 2018
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Milicevic3306
15.8k
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44
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gate2016-ec-1
analog-circuits
0
votes
0
answers
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 $V_{DD}$
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Analog Circuits
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Milicevic3306
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gate2016-ec-1
analog-circuits
pmos
0
votes
0
answers
29
GATE ECE 2016 Set 1 | Question: 19
Match the inferences $X$, $Y$ and $Z$ ... $X \to R, \: Y \to Q, \: Z \to P$ $X \to P, \: Y \to R, \: Z \to Q$
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Control Systems
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15.8k
points
64
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gate2016-ec-1
control-systems
routh-hurwitz
0
votes
0
answers
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.
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Control Systems
Mar 28, 2018
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Milicevic3306
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65
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gate2016-ec-1
control-systems
nyquist
0
votes
0
answers
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 ________
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Communications
Mar 28, 2018
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Milicevic3306
15.8k
points
52
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gate2016-ec-1
numerical-answers
communications
modulation
0
votes
0
answers
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 _________
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Analog Circuits
Mar 28, 2018
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Milicevic3306
15.8k
points
34
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gate2016-ec-1
numerical-answers
analog-circuits
oscillator
0
votes
0
answers
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 _________
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Network Solution Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
40
views
gate2016-ec-1
numerical-answers
network-solution-methods
sinusoidal-signal
0
votes
0
answers
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 ________
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Communications
Mar 28, 2018
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Milicevic3306
15.8k
points
33
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gate2016-ec-1
numerical-answers
to-be-tagged
communications
0
votes
0
answers
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 $\omega = 10^6 rad \: s^{-1}$ ... $L = 250 \: \mu H/m, C = 0.2 \: \mu F/m, R=50 \: \Omega /m, \: G=0.04 \: S/m$
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Electromagnetics
Mar 28, 2018
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Milicevic3306
15.8k
points
66
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gate2016-ec-1
impedance
electromagnetics
0
votes
0
answers
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 _________
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Calculus
Mar 28, 2018
by
Milicevic3306
15.8k
points
27
views
gate2016-ec-1
numerical-answers
calculus
definite-integrals
0
votes
0
answers
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 _________
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Linear Algebra
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Milicevic3306
15.8k
points
38
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gate2016-ec-1
numerical-answers
linear-algebra
matrices
0
votes
0
answers
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 _________
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Complex Analysis
Mar 28, 2018
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Milicevic3306
15.8k
points
36
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gate2016-ec-1
numerical-answers
complex-analysis
0
votes
0
answers
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 _________
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Vector Analysis
Mar 28, 2018
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Milicevic3306
15.8k
points
48
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gate2016-ec-1
numerical-answers
vector-analysis
0
votes
0
answers
40
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 ... $\sum_{k=1}^{3} a_k\cos(k\omega_0t+\phi_k) \\$ $\sum_{k=1}^{2} a_k\cos(k\omega_0t+\phi_k)$
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Analog Circuits
Mar 28, 2018
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Milicevic3306
15.8k
points
54
views
gate2016-ec-1
analog-circuits
impedance
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