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GATE2018IN:36
Consider the standard negative feedback configuration with G(s) = $\frac{s^2+0.2s+100}{s^2 – 0.2s +100}$ and H(s) = $\frac{1}{2}$. The number of clockwise encirclements o...
gatecse
2.8k
points
asked
Feb 20, 2018
Control Systems
gate2018-in
numerical-answers
control-systems
+
–
0
0 votes
0
0 answers
GATE2018IN: 37
Consider the linear system x = $\begin{bmatrix}-1 & 0 \\0 & -2\end{bmatrix} x,$ with initial condition $x(0) = \begin{bmatrix}1 \\1\end{bmatrix}$. The solution $x(t)$ for...
gatecse
2.8k
points
asked
Feb 20, 2018
Numerical Methods
gate2018-in
numerical-methods
linear-system
+
–
0
0 votes
0
0 answers
GATE2018IN: 38
Consider a standard negative feedback configuration with G(s) = $\frac{1}{(s+1)(s+2)}$ and H(s) = $\frac{s+a}{s}$, For the closed loop system to have poles on the imagina...
gatecse
2.8k
points
asked
Feb 20, 2018
Control Systems
gate2018-in
numerical-answers
control-systems
+
–
0
0 votes
0
0 answers
GATE2018IN: 21
A 300 V, 5A, 0.2 pf low power factor wattmeter is used to measure the power consumed by a load. The wattmeter scale has 150 divisions and the pointer is on the 100$^{th}$...
gatecse
2.8k
points
asked
Feb 20, 2018
Measurements
gate2018-in
numerical-answers
measurements
electrical-circuits-and-machines
+
–
0
0 votes
0
0 answers
GATE2018IN: 22
As shown in the figure, temperature $\theta$ is measured using a $K$ type thermocouple. It has a sensitivity of 40 $\mu V/^{\circ}C$. The gain $(G)$ of the ideal instrume...
gatecse
2.8k
points
asked
Feb 20, 2018
Sensors and Industrial Instrumentation
gate2018-in
numerical-answers
measurements
sensors-and-industrial-instrumentation
analog-electronics
+
–
0
0 votes
0
0 answers
GATE2018IN: 23
A piezoelectric pressure sensor has a bandpass characteristic with cut-off frequencies of 0.1 Hz and 1 MHz, and a sensitivity of 100 mV/kPa. The sensor is subjected to a ...
gatecse
2.8k
points
asked
Feb 20, 2018
Sensors and Industrial Instrumentation
gate2018-in
sensors-and-industrial-instrumentation
numerical-answers
+
–
0
0 votes
0
0 answers
GATE2018IN: 24
An amplitude modulated signal is shown in the figure. The modulation index is(up to one decimal place) $\_\_\_\_\_$
gatecse
2.8k
points
asked
Feb 20, 2018
Communication and Optical Instrumentation
gate2018-in
numerical-answers
communication-and-optical-instrumentation
+
–
0
0 votes
0
0 answers
GATE2018IN: 25
An optical pulse containing 6 x 10$^6$ photons is incident on a photodiode and 4.5 x 10$^6$ electron-hole pairs are created. The maximum possible quantum efficiency (in %...
gatecse
2.8k
points
asked
Feb 20, 2018
Communication and Optical Instrumentation
gate2018-in
numerical-answers
communication-and-optical-instrumentation
+
–
0
0 votes
0
0 answers
GATE2018IN: 26
Given $\overrightarrow{F}$ = (x$^2$ – 2y) $\overrightarrow{i}$ – 4xz$\overrightarrow{j}$ + 4xz$^2$$\overrightarrow{k}$, the value of the linear integral $\int_c$$\overrig...
gatecse
2.8k
points
asked
Feb 20, 2018
Calculus
gate2018-in
calculus
vector-calculus
line-integral
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–
0
0 votes
0
0 answers
GATE2018IN: 27
Two bags A and B have equal number of balls. Bag A has 20% red balls and 80% green balls. Bag B has 30% red balls,60% green balls and 10% yellow balls. Contents of Bags A...
gatecse
2.8k
points
asked
Feb 20, 2018
Probability and Statistics
gate2018-in
probability-and-statistics
probability
conditional-probability
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–
0
0 votes
0
0 answers
GATE2018IN: 28
Consider the following system of linear equations: 3x + 2ky = -2 kx + 6y =2Here x and y are the unknows and k is real c...
gatecse
2.8k
points
asked
Feb 20, 2018
Linear Algebra
gate2018-in
linear-algebra
system-of-equations
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–
0
0 votes
0
0 answers
GATE2018IN: 29
Consider the following equations $\frac {\partial {V(x,y)}}{\partial x}$ = px$^2$ + y$^2$ + 2xy ...
gatecse
2.8k
points
asked
Feb 20, 2018
Differential equations
gate2018-in
differential-equations
partial-differential-equations
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–
0
0 votes
0
0 answers
GATE2018IN: 12
An input p(t) = sin(t) is applied to the system G(s) = $\frac{s-1}{s+1}$. The corresponding steady state output is y(t) = sin(t + $\varphi$), where the phase $\varphi$ (i...
gatecse
2.8k
points
asked
Feb 20, 2018
Control Systems
gate2018-in
numerical-answers
control-systems
+
–
0
0 votes
0
0 answers
GATE2018IN: 13
The approximate phase response of $\frac{100^2e^-0.01s}{s^2+0.2s+100^2}$ is
gatecse
2.8k
points
asked
Feb 20, 2018
Control Systems
gate2018-in
control-systems
signals-and-systems
+
–
0
0 votes
1
1 answer
GATE2018IN: 14
Consider the transfer function G(s) = $\frac{2}{(s+1)(s+2)}$. The phase margin of G(s) in degrees is $\_\_\_\_\_$
gatecse
2.8k
points
asked
Feb 20, 2018
Control Systems
gate2018-in
numerical-answers
control-systems
+
–
0
0 votes
0
0 answers
GATE2018IN: 15
In the given circuit, assume that the opamp is ideal and the transistor has a $\beta$ of 20. The current I${_0}$( in $\mu A$) flowing through the load Z${_L}$ is $\_\_\_...
gatecse
2.8k
points
asked
Feb 20, 2018
Analog Electronics
gate2018-in
numerical-answers
analog-electronics
+
–
0
0 votes
0
0 answers
GATE2018IN: 16
The diodes given in the circuit are ideal. At t = 60ms, V$_{pq}$(in Volts) is $\_\_\_\_\_\_\_$
gatecse
2.8k
points
asked
Feb 20, 2018
Analog Electronics
gate2018-in
numerical-answers
analog-electronics
+
–
0
0 votes
0
0 answers
GATE2018IN: 17
For the 3-bit binary counter shown in the figure, the output increments at every positive transition in the clock(CLK). Assume ideal diodes and the starting state of the ...
gatecse
2.8k
points
asked
Feb 20, 2018
Digital Electronics
gate2018-in
numerical-answers
digital-electronics
counter
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–
0
0 votes
0
0 answers
GATE2018IN: 18
The representation of the decimal number (27.625)$_{10}$ in base -2 number system is11011.11011101.10111011.10110111.110
gatecse
2.8k
points
asked
Feb 20, 2018
Digital Electronics
gate2018-in
digital-electronics
number-system
number-representation
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–
0
0 votes
0
0 answers
GATE2018IN:19
The number of comparators required for implementing an 8-bit flash analog-to-digital converter is8128255256
gatecse
2.8k
points
asked
Feb 20, 2018
Digital Electronics
gate2018-in
analog-electronics
numerical-answers
+
–
0
0 votes
0
0 answers
GATE2018IN: 20
A voltage of 6 cos(100$\pi$t) V is fed as y-input to a CRO. The waveform seen on the screen of the CRO is shown in the figure. The Y and X axes settings for the CRO are r...
gatecse
2.8k
points
asked
Feb 20, 2018
Measurements
gate2018-in
electrical-circuits-and-machines
measurements
numerical-answers
+
–
0
0 votes
0
0 answers
GATE2018IN: 4
Consider two functions f(x) = (x – 2)$^2$ and g(x) = 2x – 1, where x is real. The smallest value of x for which f(x) = g(x) is $\_\_\_\_\_\_$
gatecse
2.8k
points
asked
Feb 20, 2018
Calculus
gate2018-in
numerical-answers
calculus
maxima-minima
+
–
0
0 votes
0
0 answers
GATE2018IN: 5
Consider a sequence of tossing of a fair coin where the outcomes of tosses are independent. The probability of getting the head for the third time in the fifth toss is$\f...
gatecse
2.8k
points
asked
Feb 20, 2018
Probability and Statistics
gate2018-in
probability-and-statistics
probability
conditional-probability
independent-events
+
–
0
0 votes
0
0 answers
GATE2018IN: 6
A series R-C circuit is excited by a 1 <0 V sinusoidal ac voltage source. The locus diagram of the phasor current L = (x + jy)A, when C is varied, while keeping R fixed, ...
gatecse
2.8k
points
asked
Feb 20, 2018
Electrical Circuits and Machines
gate2018-in
electrical-circuits-and-machines
analog-electronics
+
–
0
0 votes
0
0 answers
GATE2018IN: 7
The Thevenin equivalent circuit representation across terminals p – q of the circuit shown in the figure is a 1 V source in series...
gatecse
2.8k
points
asked
Feb 20, 2018
Electrical Circuits and Machines
gate2018-in
electrical-circuits-and-machines
numerical-answers
+
–
0
0 votes
0
0 answers
GATE2018IN: 8
A coil having an impedance of (10 + j100) $\Omega$ is connected in parallel to a variable capacitor as shown in figure. Keeping the excitation frequency unchanged, the va...
gatecse
2.8k
points
asked
Feb 20, 2018
Electrical Circuits and Machines
gate2018-in
numerical-answers
electrical-circuits-and-machines
+
–
0
0 votes
0
0 answers
GATE2018IN: 9
Two periodic signals x(t) and y(t) have the same fundamental period of 3 seconds. Consider the signal z(t) = x(-t) + y(2t + 1). The fundamental period of z(t) in seconds ...
gatecse
2.8k
points
asked
Feb 20, 2018
Signals and Systems
gate2018-in
signals-and-systems
numerical-answers
+
–
0
0 votes
0
0 answers
GATE2018IN: 10
Consider signal x(t) = . Let $\delta$(t) denote the unit impulse (Dirac-delta) function. The value of the integral $ \int^5_0$ 2x(t- 3)$\delta$(t-4)dt is 2103
gatecse
2.8k
points
asked
Feb 20, 2018
Signals and Systems
gate2018-in
signals-and-systems
numerical-answers
+
–
0
0 votes
0
0 answers
GATE2018IN: 11
An ideal square wave with period of 20ms shown in the figure, is passed through an ideal low pass filter with cut-off frequency 120 Hz. Which of the following is an accur...
gatecse
2.8k
points
asked
Feb 20, 2018
Signals and Systems
gate2018-in
signals-and-systems
numerical-answers
+
–
0
0 votes
0
0 answers
GATE2018IN: 1
Let N be a 3 by 3 matrix with real numbers entries. The matrix N is such that N$^2$ = 0. The eigen values of N are 0, 0, 00,0,10,1,11,1,1
gatecse
2.8k
points
asked
Feb 20, 2018
Linear Algebra
gate2018-in
linear-algebra
matrices
eigen-values
+
–
0
0 votes
0
0 answers
GATE2018IN: 2
Let f$_1$(Z) =Z$^2$ and f$_2$(Z) = $\overline{z}$ be two complex variable functions. Here $\overline{z}$ is the complex conjugate of z. Choose the correct answerBoth f$_1...
gatecse
2.8k
points
asked
Feb 20, 2018
Analysis of complex variables
gate2018-in
analysis-of-complex-variables
complex-conjugate
+
–
0
0 votes
0
0 answers
GATE2018IN: 3
X and Y are two independent random variables with variances 1 and 2, respectively. Let Z = X – Y. The variance of Z is0123
gatecse
2.8k
points
asked
Feb 20, 2018
Probability and Statistics
gate2018-in
probability-and-statistics
probability
random-variable
variance
+
–
0
0 votes
0
0 answers
GATE IN 2018 | GA | Question: 7
A set of $4$ parallel lines intersect with another set of $5$ parallel lines. How many parallelograms are formed?$20$$48$$60$$72$
gatecse
2.8k
points
asked
Feb 20, 2018
Quantitative Aptitude
gate2018-in
numerical-ability
counting
+
–
0
0 votes
0
0 answers
GATE IN 2018 | GA | Question: 8
To pass a test, a candidate needs to answer at least $2$ out of $3$ questions correctly. A total of $6,30,000$ candidates appeared for the test. Question $A$ was correctl...
gatecse
2.8k
points
asked
Feb 20, 2018
Quantitative Aptitude
gate2018-in
numerical-ability
counting
+
–
0
0 votes
0
0 answers
GATE IN 2018 | GA | Question: 9
If $x^{2}+ x - 1 = 0$ what is the value of $x^4 + \dfrac{1}{x^4}$?$1$$5$$7$$9$
gatecse
2.8k
points
asked
Feb 20, 2018
Quantitative Aptitude
gate2018-in
numerical-ability
algebra
+
–
0
0 votes
0
0 answers
GATE IN 2018 | GA | Question: 10
In a detailed study of annual crow births in India, it was found that there was relatively no growth during the period $2002$ to $2004$ and a sudden spike from $2004$ to ...
gatecse
2.8k
points
asked
Feb 20, 2018
Quantitative Aptitude
gate2018-in
numerical-ability
data-interpretation
graphical-data
+
–
0
0 votes
0
0 answers
GATE IN 2018 | GA | Question: 1
"When she fell down the ________ , she received many _________ but little help."The words that best fill the blanks in the above sentence arestairs, staresstairs, stairss...
gatecse
2.8k
points
asked
Feb 20, 2018
Verbal Aptitude
gate2018-in
verbal-ability
most-appropriate-word
+
–
0
0 votes
0
0 answers
GATE IN 2018 | GA | Question: 2
"In spite of being warned repeatedly, he failed to correct his _________ behaviour ."The word that best fills the blank in the above sentence isrationalreasonableerrantgo...
gatecse
2.8k
points
asked
Feb 20, 2018
Verbal Aptitude
gate2018-in
verbal-ability
most-appropriate-word
+
–
0
0 votes
0
0 answers
GATE IN 2018 | GA | Question: 3
For $0\leq{x}\leq{2\pi}$, $\sin x \text{ and } \cos x$ are both decreasing functions in the interval _________ .$\left(0,\dfrac{\pi}{2}\right)$$\left(\dfrac{\pi}{2},\pi\r...
gatecse
2.8k
points
asked
Feb 20, 2018
Quantitative Aptitude
gate2018-in
numerical-ability
functions
trigonometry
+
–
0
0 votes
0
0 answers
GATE IN 2018 | GA | Question: 4
The area of an equilateral triangle is $\sqrt{3}$. What is the perimeter of the triangle$?$$2$$4$$6$$8$
gatecse
2.8k
points
asked
Feb 20, 2018
Quantitative Aptitude
gate2018-in
numerical-ability
geometry
triangles
+
–
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