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GATE2019 IN: 48
A discrete- time signal x[n] = e$^{j(\frac{5\pi}{3})n}$ + e$^{j(\frac{\pi}{4})n}$ is down-sampled to the signal x${_d}[n]$ such that x${_d}[n]$ = x[4n]. The fundamental...
Arjun
3.6k
points
asked
Feb 10, 2019
Signals and Systems
gate2019-in
numerical-answers
signals-and-systems
+
–
0
0 votes
0
0 answers
GATE2019 IN: 49
In a control system with unity gain feedback, the transfer function of the loop-gain function is L(S) = 9e$^{-0.1s}$/S. The phase margin of the loop-gain function L(S) is...
Arjun
3.6k
points
asked
Feb 10, 2019
Control Systems
gate2019-in
numerical-answers
control-systems
+
–
0
0 votes
0
0 answers
GATE2019 IN: 50
In the circuit shown below, all transistors are n-channel enhancement mode MOSFETs. They are identical and are biased to operate in saturation mode. Ignoring channel leng...
Arjun
3.6k
points
asked
Feb 10, 2019
Analog Electronics
gate2019-in
numerical-answers
analog-electronics
+
–
0
0 votes
0
0 answers
GATE2019 IN: 51
In the circuit shown below, all OPAMPS are ideal. The current I = 0 A when the resistance R = $\_\_\_\_\_$ k$\Omega$
Arjun
3.6k
points
asked
Feb 10, 2019
Analog Electronics
gate2019-in
numerical-answers
analog-electronics
+
–
0
0 votes
0
0 answers
GATE2019 IN: 52
The parallel resistance-capacitance bridge shown below has a standard capacitance value of C${_1}$=0.1${_\mu}$F and a resistance value of R${_3}$=10 k$\Omega$. The bridge...
Arjun
3.6k
points
asked
Feb 10, 2019
Measurements
gate2019-in
numerical-answers
measurements
analog-electronics
+
–
0
0 votes
0
0 answers
GATE2019 IN: 53
In a microprocessor with a 16 bit address bus, the most significant address lines A15 to A12 are used to select a 4096 word memory unit, while lines A0 to A11 are used to...
Arjun
3.6k
points
asked
Feb 10, 2019
Digital Electronics
gate2019-in
numerical-answers
digital-electronics
microprocessor-8085
+
–
0
0 votes
0
0 answers
GATE2019 IN: 54
A signal x(t) has a bandwidth 2B about a carrier frequency of f${_c}$ = 2 GHz as shown in Figure (a) below. In order to demodulate this signal, it is first mixed (multipl...
Arjun
3.6k
points
asked
Feb 10, 2019
Signals and Systems
gate2019-in
numerical-answers
communication-and-optical-instrumentation
signals-and-systems
+
–
0
0 votes
0
0 answers
GATE2019 IN: 55
Consider a Michelson interferometer as shown in the figure below. When the wavelength of the laser light source is switched from 400 nanometer to 500 nanometer, it is obs...
Arjun
3.6k
points
asked
Feb 10, 2019
Communication and Optical Instrumentation
gate2019-in
numerical-answers
communication-and-optical-instrumentation
+
–
0
0 votes
0
0 answers
GATE IN 2016 | GA | Question: 1
An apple costs Rs.$10$. An onion costs Rs.$8$.Select the most suitable sentence with respect to grammar and usage.The price of an apple is greater than an onion.The price...
Milicevic3306
7.9k
points
asked
Mar 26, 2018
Verbal Aptitude
gate2016-in
verbal-ability
english-grammar
+
–
0
0 votes
0
0 answers
GATE IN 2016 | GA | Question: 2
The Buddha said, “Holding on to anger is like $\underline{\text{grasping}}$ a hot coal with the intent of throwing it at someone else; you are the one who gets burnt. ”Se...
Milicevic3306
7.9k
points
asked
Mar 26, 2018
Verbal Aptitude
gate2016-in
verbal-ability
most-appropriate-word
+
–
0
0 votes
0
0 answers
GATE IN 2016 | GA | Question: 3
$M$ has a son $Q$ and a daughter $R.$ He has no other children. $E$ is the mother of $P$ and daughter-in-law of $M.$ How is $P$ related to $M?$$P$ is the son-in-law of $M...
Milicevic3306
7.9k
points
asked
Mar 26, 2018
Analytical Aptitude
gate2016-in
analytical-aptitude
logical-reasoning
family-relationships
+
–
0
0 votes
0
0 answers
GATE IN 2016 | GA | Question: 4
The number that least fits this set$:(324,441,97$ and $64)$ is$324$$441$$97$$64$
Milicevic3306
7.9k
points
asked
Mar 26, 2018
Analytical Aptitude
gate2016-in
analytical-aptitude
logical-reasoning
sequence-series
+
–
0
0 votes
0
0 answers
GATE IN 2016 | GA | Question: 5
It takes $10$s and $15$s, respectively, for two trains traveling at a different constant speeds to completely pass a telegraph post. The length of the first train is $120...
Milicevic3306
7.9k
points
asked
Mar 26, 2018
Quantitative Aptitude
gate2016-in
numerical-ability
speed-time-distance
+
–
0
0 votes
0
0 answers
GATE IN 2016 | GA | Question: 6
The velocity $V$ of a vehicle along a straight line is measured in m/s and plotted as shown with respect to time in seconds. At the end of the $7$ seconds, how much will ...
Milicevic3306
7.9k
points
asked
Mar 26, 2018
Quantitative Aptitude
gate2016-in
numerical-ability
speed-time-distance
+
–
0
0 votes
0
0 answers
GATE IN 2016 | GA | Question: 7
The overwhelming number of people infected with rabies in India has been flagged by the World Health Organization as a source of concern. It is estimated that inoculating...
Milicevic3306
7.9k
points
asked
Mar 26, 2018
Verbal Aptitude
gate2016-in
verbal-ability
verbal-reasoning
passage-reading
+
–
0
0 votes
0
0 answers
GATE IN 2016 | GA | Question: 8
A flat is shared by four first-year undergraduate students. They agreed to allow the oldest of them to enjoy some extra space in the flat. Manu is two months older than S...
Milicevic3306
7.9k
points
asked
Mar 26, 2018
Analytical Aptitude
gate2016-in
analytical-aptitude
logical-reasoning
+
–
0
0 votes
0
0 answers
GATE IN 2016 | GA | Question: 9
Find the area bounded by the lines $3x+2y=14$, $2x-3y=5$ in the first quadrant.$14.95$$15.25$$15.70$$20.35$
Milicevic3306
7.9k
points
asked
Mar 26, 2018
Quantitative Aptitude
gate2016-in
numerical-ability
geometry
cartesian-coordinates
+
–
0
0 votes
0
0 answers
GATE IN 2016 | GA | Question: 10
A straight line is fit to a data set $(\text{ln }x,y).$ This line intercepts the abscissa at $\text{ln } x =0.1$ and has a slope of $-0.02$. What is the value of $y$ at $...
Milicevic3306
7.9k
points
asked
Mar 26, 2018
Quantitative Aptitude
gate2016-in
numerical-ability
geometry
cartesian-coordinates
+
–
0
0 votes
0
0 answers
GATE 2016 - 1
A straight line of the form $y=mx+c$ passes through the origin and the point $(x,y)$ =$(2,6)$. The value of $m$ is _____.
Milicevic3306
7.9k
points
asked
Mar 26, 2018
Calculus
gate2016-in
numerical-answers
calculus
cartesian-coordinates
+
–
0
0 votes
0
0 answers
GATE2016-2
$\underset{n\rightarrow \infty }{\lim}\:\left(\sqrt{n^2+n}-\sqrt{n^2+1}\right)$ is __________.
Milicevic3306
7.9k
points
asked
Mar 26, 2018
Calculus
gate2016-in
numerical-answers
calculus
limits
+
–
0
0 votes
0
0 answers
GATE2016-3
A voltage $V_1$ is measured $100$ times and its average and standard deviation are $100$ V and $1.5$ V respectively. A second voltage $V_2$, which is independent of $V_1...
Milicevic3306
7.9k
points
asked
Mar 26, 2018
Probability and Statistics
gate2016-in
numerical-answers
probability-and-statistics
measurements
+
–
0
0 votes
0
0 answers
GATE2016-4
The vector that is $NOT$ perpendicular to the vectors $(i+j+k)$ and $(i+2j+3k)$ is ______.$(i-2j+k)$ $(-i+2j-k)$$(0i+0j+0k)$$(4i+3j+5k)$
Milicevic3306
7.9k
points
asked
Mar 26, 2018
Calculus
gate2016-in
calculus
vector-calculus
vector-identities
+
–
0
0 votes
0
0 answers
GATE2016-5
In the neighborhood of $z=1$, the function $f(z)$ has a power series expansion of the form $f(z)$ = $1$ + $(1-z)$ + $(1-z)^2+ \ldots$Then $f(z)$ is$\frac{1}{z}$$\frac{-1}...
Milicevic3306
7.9k
points
asked
Mar 26, 2018
Analysis of complex variables
gate2016-in
analysis-of-complex-variables
taylor-series
+
–
0
0 votes
0
0 answers
GATE2016-6
Three currents $i_1, i_2$ and $i_3$ meet at a node as shown in the figure below. If $i_1=3\cos(\omega t)$ ampere, $i_2=4\sin(\omega t)$ ampere and $i_3=I_3\cos(\omega t+\...
Milicevic3306
7.9k
points
asked
Mar 26, 2018
Electrical Circuits and Machines
gate2016-in
numerical-answers
electrical-circuits-and-machines
+
–
0
0 votes
0
0 answers
GATE2016-7
An air cored coil has a $Q$ of $5$ at a frequency of $100$ kHz. The $Q$ of the coil at $20$ kHz (neglecting skin effect) will be ________.
Milicevic3306
7.9k
points
asked
Mar 26, 2018
Analog Electronics
gate2016-in
numerical-answers
analog-electronics
+
–
0
0 votes
0
0 answers
GATE2016-8
A current $i(t)$ shown in the figure below is passed through a $\text{1 F}$ capacitor that had zero initial charge. The voltage across the capacitor for $t>2s$ in $volt$ ...
Milicevic3306
7.9k
points
asked
Mar 26, 2018
Signals and Systems
gate2016-in
numerical-answers
analog-electronics
+
–
0
0 votes
0
0 answers
GATE2016-9
The signal $x[n]$ shown in the figure below is convolved with itself to get $y[n]$. The value of $y[-1]$ is $\_\_\_\_\_\_\_\_.$
Milicevic3306
7.9k
points
asked
Mar 26, 2018
Signals and Systems
gate2016-in
numerical-answers
signals-and-systems
+
–
0
0 votes
0
0 answers
GATE2016-10
In the circuit shown below $ (v_1+v_2) =[1\; \sin(2\pi10000t)] + 1\;\sin(2\pi30000t)] \;V.$ The $RMS$ value of the current through the resistor $R$ will be minimum if th...
Milicevic3306
7.9k
points
asked
Mar 26, 2018
Electrical Circuits and Machines
gate2016-in
numerical-answers
analog-electronics
+
–
0
0 votes
0
0 answers
GATE2016-11
If $X(s)$, the Laplace transform of signal $x(t)$ is given by $X(s) = \frac{(s+2)}{(s+1)(s+3)^2}$, then the value of $x(t)$ as $t\rightarrow \infty$ is ______.
Milicevic3306
7.9k
points
asked
Mar 26, 2018
Signals and Systems
gate2016-in
numerical-answers
laplace-transform
signals-and-systems
+
–
0
0 votes
0
0 answers
GATE2016-12
The number of times the Nyquist plot of $G(s)= \frac{s-1}{s+1}$ will encircle the origin clockwise is _______.
Milicevic3306
7.9k
points
asked
Mar 26, 2018
Control Systems
gate2016-in
numerical-answers
control-systems
+
–
0
0 votes
0
0 answers
GATE2016-13
The value of $a_0$ which will ensure that the polynomial $s^3$ + $3s^2$ + $2s$ + $a_0$ has roots on the left half of the $s$-plane is$11$$9$$7$$5$
Milicevic3306
7.9k
points
asked
Mar 26, 2018
Control Systems
gate2016-in
control-systems
+
–
0
0 votes
0
0 answers
GATE2016-14
The input $i(t)$ = $2\sin(3t+\pi)$ is applied to a system whose transfer function $G(s)=\frac{8}{(s+10)^2}$.The amplitude of the output of the system is _______.
Milicevic3306
7.9k
points
asked
Mar 26, 2018
Signals and Systems
gate2016-in
numerical-answers
control-systems
+
–
0
0 votes
0
0 answers
GATE2016-15
The diode $D$ used in the circuit below is ideal. The voltage drop $V_{ab}$ across the $1\;k\Omega$ resistor in $\text{volt}$ is $\_\_\_\_\_\_\_\_.$
Milicevic3306
7.9k
points
asked
Mar 26, 2018
Analog Electronics
gate2016-in
numerical-answers
analog-electronics
+
–
0
0 votes
0
0 answers
GATE2016-16
In the circuit given below, the opamp is ideal. The output voltage $V_o$ in volt is $\_\_\_\_\_\_\_\_.$
Milicevic3306
7.9k
points
asked
Mar 26, 2018
Analog Electronics
gate2016-in
numerical-answers
analog-electronics
+
–
0
0 votes
0
0 answers
GATE2016-17
In the circuit given below, the diodes $D_1$ and $D_2$ have a forward voltage drop of $0.6\;V$. The opamp used is ideal.The $\text{magnitude}$ of the negative peak value ...
Milicevic3306
7.9k
points
asked
Mar 26, 2018
Analog Electronics
gate2016-in
analog-electronics
+
–
0
0 votes
0
0 answers
GATE2016-18
The Boolean expression $XY+(X’+Y’)Z$ is equivalent to$XYZ’+X’Y’Z$$X’Y’Z’+XYZ$$(X+Z)(Y+Z)$$(X’+Z)(Y’+Z)$
Milicevic3306
7.9k
points
asked
Mar 26, 2018
Digital Electronics
gate2016-in
digital-electronics
boolean-algebra
+
–
0
0 votes
0
0 answers
GATE2016-19
In the digital circuit given below, $F$ is$XY+Y\overline{Z}$$XY+\overline{Y}Z$$\overline{X}\overline{Y}+Y\overline{Z}$$XZ+\overline{Y}$
Milicevic3306
7.9k
points
asked
Mar 26, 2018
Digital Electronics
gate2016-in
digital-electronics
combinational-circuits
logic-gates
+
–
0
0 votes
0
0 answers
GATE2016-20
A $3\frac{1}{2}$ digit $DMM$ has an accuracy specification of $\pm 1$% of full scale (accuracy class $1$). A reading of $\text{100.0 mA}$ is obtained on its $\text{200 m...
Milicevic3306
7.9k
points
asked
Mar 26, 2018
Measurements
gate2016-in
numerical-answers
measurements
gateway2016-in
+
–
0
0 votes
0
0 answers
GATE2016-21
A dc potentiometer, shown in figure below, is made by connecting fifteen $10\Omega$ resistors and a $10\Omega$ slide wire of length $\text{1000 mm}$ in series. The potent...
Milicevic3306
7.9k
points
asked
Mar 26, 2018
Measurements
gate2016-in
numerical-answers
measurements
electrical-circuits-and-machines
+
–
0
0 votes
0
0 answers
GATE2016-22
In the circuit given below, each input terminal of the opamp draws a bias current of $\text{10 nA}$. The effect due to these input bias currents on the output voltage $V_...
Milicevic3306
7.9k
points
asked
Mar 26, 2018
Analog Electronics
gate2016-in
analog-electronics
numerical-answers
+
–
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