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Recent questions tagged gate2018-in
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41
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 $\varphi$ (in degrees), when restricted to 0$^o$ $\leq$ $\varphi$ $\leq$ 360$^o$, is $\_\_\_\_\_\_$
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
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
numerical-answers
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0
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0
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42
GATE2018IN: 13
The approximate phase response of $\frac{100^2e^-0.01s}{s^2+0.2s+100^2}$ is
The approximate phase response of $\frac{100^2e^-0.01s}{s^2+0.2s+100^2}$ is
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
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0
votes
0
answers
43
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 respectively 1 V/div and 1 ms/div 1 V/div and 2 ms/div 2 V/div and 1 ms/div 2 V/div and 2 ms/div
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
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
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0
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0
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44
GATE2018IN:19
The number of comparators required for implementing an 8-bit flash analog-to-digital converter is 8 128 255 256
The number of comparators required for implementing an 8-bit flash analog-to-digital converter is8128255256
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
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0
votes
0
answers
45
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 $\frac{5}{16}$ $\frac{3}{16}$ $\frac{3}{5}$ $\frac{9}{16}$
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$\f...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Probability and Statistics
gate2018-in
probability-and-statistics
probability
conditional-probability
independent-events
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0
answers
46
GATE2018IN: 4
Consider two functions f(x) = (x – 2)$^2$ and g(x) = 2x – 1, where x is real. The smallest value of x for which f(x) = g(x) is $\_\_\_\_\_\_$
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
1.4k
points
gatecse
asked
Feb 20, 2018
Calculus
gate2018-in
numerical-answers
calculus
maxima-minima
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0
votes
0
answers
47
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 value of the capacitor is changed so that parallel resonance occurs. The impedance across terminals p-q at resonance (in $\Omega$) is $\_\_\_\_$.
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
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
numerical-answers
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0
votes
0
answers
48
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, is
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
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
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0
votes
0
answers
49
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 accurate description of the output? Output is zero Output consists of both 50 Hz and 100 Hz frequency components. Output is a pure sinusoid of frequency 50Hz Output is a square wave of fundamental frequency 50Hz.
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
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
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0
votes
0
answers
50
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 2 1 0 3
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
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
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0
votes
0
answers
51
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 is 1 1.5 2 3
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
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
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0
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0
answers
52
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 with 150k$\Omega$ 1 V source in parallel with 100k$\Omega$ 2 V source in series with 150k$\Omega$ 2 V source in parallel with 200k$\Omega$
The Thevenin equivalent circuit representation across terminals p – q of the circuit shown in the figure is a 1 V source in seri...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
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0
votes
0
answers
53
GATE2018IN: 3
X and Y are two independent random variables with variances 1 and 2, respectively. Let Z = X – Y. The variance of Z is 0 1 2 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
1.4k
points
gatecse
asked
Feb 20, 2018
Probability and Statistics
gate2018-in
probability-and-statistics
probability
random-variable
variance
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0
votes
0
answers
54
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 answer Both f$_1$(Z) and f$_2$(Z) are analytic Only f$_1$(Z) is analytic Only f$_2$(Z) is analytic Both f$_1$(Z) and f$_2$(Z) are not analytic
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$_1...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Analysis of complex variables
gate2018-in
analysis-of-complex-variables
complex-conjugate
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0
votes
0
answers
55
GATE2018IN: 1
Let N be a 3 by 3 matrix with real numbers entries. The matrix N is such that N$^2$ = 0. The eigen values of N are 0, 0, 0 0,0,1 0,1,1 1,1,1
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
1.4k
points
gatecse
asked
Feb 20, 2018
Linear Algebra
gate2018-in
linear-algebra
matrices
eigen-values
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0
votes
0
answers
56
GATE2018-GA-9
If $x^{2}+ x - 1 = 0$ what is the value of $x^4 + \dfrac{1}{x^4}$? $1$ $5$ $7$ $9$
If $x^{2}+ x - 1 = 0$ what is the value of $x^4 + \dfrac{1}{x^4}$?$1$$5$$7$$9$
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Quantitative Aptitude
gate2018-in
numerical-ability
algebra
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0
votes
0
answers
57
GATE2018-GA-8
To pass a test, a candidate needs to answer at least $2$ out of $3$ questions correctly. A total of $6,30,000$ candidates appeared for the test. Question $A$ was correctly answered by $3,30,000$ candidates. Question $B$ was answered correctly by $2,50,000$ candidates. Question $C$ was answered correctly by $2,60,000$ candidates ... all questions correctly is the same as the number answering none, how many candidates failed to clear the test? $30,000$ $2,70,000$ $3,90,000$ $4,20,000$
To pass a test, a candidate needs to answer at least $2$ out of $3$ questions correctly. A total of $6,30,000$ candidates appeared for the test. Question $A$ was correctl...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Quantitative Aptitude
gate2018-in
numerical-ability
counting
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0
votes
0
answers
58
GATE2018-GA-7
A set of $4$ parallel lines intersect with another set of $5$ parallel lines. How many parallelograms are formed? $20$ $48$ $60$ $72$
A set of $4$ parallel lines intersect with another set of $5$ parallel lines. How many parallelograms are formed?$20$$48$$60$$72$
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Quantitative Aptitude
gate2018-in
numerical-ability
counting
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0
votes
0
answers
59
GATE2018-GA-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 $2005$. In another unrelated study, it was found that the revenue from cracker sales in India which remained fairly flat from $2002$ to ... . Cracker usage increases crow birth rate. If cracker sale declines, crow birth will decline. Increased birth rate of crows will cause an increase in the sale of crackers.
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
1.4k
points
gatecse
asked
Feb 20, 2018
Quantitative Aptitude
gate2018-in
numerical-ability
data-interpretation
graphical-data
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–
0
votes
0
answers
60
GATE2018-GA-1
"When she fell down the ________ , she received many _________ but little help." The words that best fill the blanks in the above sentence are stairs, stares stairs, stairs stares, stairs stares, stares
"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
1.4k
points
gatecse
asked
Feb 20, 2018
Verbal Aptitude
gate2018-in
verbal-ability
most-appropriate-word
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–
0
votes
0
answers
61
GATE2018-GA-6
An automobile travels from city $A$ to city $B$ and returns to city $A$ by the same route. The speed of the vehicle during the onward and return journeys were constant at $60km/h$ and $90 km/h$, respectively. What is the average speed in $km/h$ for the entire journey? $72\hspace{0.2cm} km/h$ $73\hspace{0.2cm} km/h$ $74\hspace{0.2cm} km/h$ $75 \hspace{0.2cm}km/h$
An automobile travels from city $A$ to city $B$ and returns to city $A$ by the same route. The speed of the vehicle during the onward and return journeys were constant at...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Quantitative Aptitude
gate2018-in
numerical-ability
speed-time-distance
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–
0
votes
0
answers
62
GATE2018-GA-5
Arrange the following three-dimensional objects in the descending order of their volumes: A cuboid with dimensions $\text{10 cm, 8 cm and 6 cm}$ A cube of side $\text{8 cm}$ A cylinder with base radius $\text{7 cm}$ and height $\text{7 cm}$ A sphere of radius $\text{7 cm}$ $\text{i), ii), iii), iv)}$ $\text{ii), i), iv), iii)}$ $\text{iii), ii), i), iv)}$ $\text{iv), iii), ii), i)}$
Arrange the following three-dimensional objects in the descending order of their volumes: A cuboid with dimensions $\text{10 cm, 8 cm and 6 cm}$ A cube of side $\text...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Quantitative Aptitude
gate2018-in
numerical-ability
mensuration
volumes
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0
votes
0
answers
63
GATE2018-GA-4
The area of an equilateral triangle is $\sqrt{3}$. What is the perimeter of the triangle$?$ $2$ $4$ $6$ $8$
The area of an equilateral triangle is $\sqrt{3}$. What is the perimeter of the triangle$?$$2$$4$$6$$8$
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Quantitative Aptitude
gate2018-in
numerical-ability
geometry
triangles
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–
0
votes
0
answers
64
GATE2018-GA-3
For $0\leq{x}\leq{2\pi}$, $\sin x \text{ and } \cos x$ are both decreasing functions in the interval _________ . $\left(0,\dfrac{\pi}{2}\right)$ $\left(\dfrac{\pi}{2},\pi\right)$ $\left(\pi,\dfrac{3\pi}{2}\right)$ $\left(\dfrac{3\pi}{2},2\pi\right)$
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
1.4k
points
gatecse
asked
Feb 20, 2018
Quantitative Aptitude
gate2018-in
numerical-ability
functions
trigonometry
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–
0
votes
0
answers
65
GATE2018-GA-2
"In spite of being warned repeatedly, he failed to correct his _________ behaviour ." The word that best fills the blank in the above sentence is rational reasonable errant good
"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
1.4k
points
gatecse
asked
Feb 20, 2018
Verbal Aptitude
gate2018-in
verbal-ability
most-appropriate-word
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