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801
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 imaginary axis, the value of $\alpha$ should be equal to (up to one decimal place)$\_\_\_\_\_\_$.
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
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
numerical-answers
+
–
0
votes
0
answers
802
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$^{th}$ division. The power consumed by the load (in Watts) is $\_\_\_\_\_$
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
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
numerical-answers
+
–
0
votes
0
answers
803
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 instrumentations amplifier is $25$. If the output $V_0$ is $96 \;mV,$ then the value of $\theta$(in $^{\circ}$C) is ______________.
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
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
numerical-answers
+
–
0
votes
0
answers
804
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 static constant pressure of 100kpa. Its steady-state output will be 0 V 0.1 V 1 V 10 V
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
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
+
–
0
votes
0
answers
805
GATE2018IN: 24
An amplitude modulated signal is shown in the figure. The modulation index is(up to one decimal place) $\_\_\_\_\_$
An amplitude modulated signal is shown in the figure. The modulation index is(up to one decimal place) $\_\_\_\_\_$
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
numerical-answers
+
–
0
votes
0
answers
806
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 %) of the photodiode is $\_\_\_\_$.
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
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
numerical-answers
+
–
0
votes
0
answers
807
GATE2018IN: 26
Given $\overrightarrow{F}$ = (x$^2$ – 2y) $\overrightarrow{i}$ – 4xz$\overrightarrow{j}$ + 4xz$^2$\overrightarrow{k}$, the value of the linear integral $\int_c$\overrightarrow{F}$ . d$\overrightarrow{l}$ along the straight line c from (0,0,0) to (1,1,1) is 3/16 0 -5/12 -1
Given $\overrightarrow{F}$ = (x$^2$ – 2y) $\overrightarrow{i}$ – 4xz$\overrightarrow{j}$ + 4xz$^2$$\overrightarrow{k}$, the value of the linear integral $\int_c$$\ove...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Calculus
gate2018-in
calculus
vector-calculus
line-integral
+
–
0
votes
0
answers
808
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 and B are mixed thoroughly and a ball is randomly picked from the mixture. What is the chance that the ball picked is red? 20% 25% 30% 40%
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
1.4k
points
gatecse
asked
Feb 20, 2018
Probability and Statistics
gate2018-in
probability-and-statistics
probability
conditional-probability
+
–
0
votes
0
answers
809
GATE2018IN: 28
Consider the following system of linear equations: 3x + 2ky = -2 kx + 6y =2 Here x and y are the unknows and k is real constant. The value of k for which there are infinite number of solutions is 3 1 -3 -6
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
1.4k
points
gatecse
asked
Feb 20, 2018
Linear Algebra
gate2018-in
linear-algebra
system-of-equations
+
–
0
votes
0
answers
810
GATE2018IN: 29
Consider the following equations $\frac {\partial {V(x,y)}}{\partial x}$ = px$^2$ + y$^2$ + 2xy $\frac {\partial {V(x,y)}}{\partial y}$ = x$^2$ + qy$^2$ + 2xy where p and q are constant ,V(x,y) that satisfies the above equations is p$\frac{x^3}{3}$ + q$\frac{y^3}{3}$ + 2xy + 6 p$\frac{x^3}{3}$ + q$\frac{y^3}{3}$ + 5 p$\frac{x^3}{3}$ + q$\frac{y^3}{3}$ + x$^2$y + xy$^2$ + xy p$\frac{x^3}{3}$ + q$\frac{y^3}{3}$ + x$^2$y + xy$^2$
Consider the following equations $\frac {\partial {V(x,y)}}{\partial x}$ = px$^2$ + y$^2$ + 2xy ...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Differential equations
gate2018-in
differential-equations
partial-differential-equations
+
–
0
votes
0
answers
811
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
+
–
0
votes
0
answers
812
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
+
–
0
votes
1
answer
813
GATE2018IN: 14
Consider the transfer function G(s) = $\frac{2}{(s+1)(s+2)}$. The phase margin of G(s) in degrees is $\_\_\_\_\_$
Consider the transfer function G(s) = $\frac{2}{(s+1)(s+2)}$. The phase margin of G(s) in degrees is $\_\_\_\_\_$
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
numerical-answers
+
–
0
votes
0
answers
814
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 $\_\_\_\_\_\_$.
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 $\_\_\_...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
numerical-answers
+
–
0
votes
0
answers
815
GATE2018IN: 16
The diodes given in the circuit are ideal. At t = 60ms, V$_{pq}$(in Volts) is $\_\_\_\_\_\_\_$
The diodes given in the circuit are ideal. At t = 60ms, V$_{pq}$(in Volts) is $\_\_\_\_\_\_\_$
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
numerical-answers
+
–
0
votes
0
answers
816
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 counter as 000. If output high is 1 V and output low is 0 V, the current I(in mA) flowing through the 50 $\Omega$ resistor during the 5$^{th}$ clock cycle is(up to one decimal place) $\_\_\_\_\_\_$
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
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
numerical-answers
+
–
0
votes
0
answers
817
GATE2018IN: 18
The representation of the decimal number (27.625)$_{10}$ in base -2 number system is 11011.110 11101.101 11011.101 10111.110
The representation of the decimal number (27.625)$_{10}$ in base -2 number system is11011.11011101.10111011.10110111.110
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Digital Electronics
gate2018-in
digital-electronics
number-system
number-representation
+
–
0
votes
0
answers
818
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
+
–
0
votes
0
answers
819
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
+
–
0
votes
0
answers
820
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
+
–
0
votes
0
answers
821
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$\f...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Probability and Statistics
gate2018-in
probability-and-statistics
probability
conditional-probability
independent-events
+
–
0
votes
0
answers
822
GATE2018IN: 6
A series R-C circuit is excited by a 1 <0 V sinusoidal ac voltage source. The locus diagram of the phasor current L = (x + jy)A, when C is varied, while keeping R fixed, is
A series R-C circuit is excited by a 1 <0 V sinusoidal ac voltage source. The locus diagram of the phasor current L = (x + jy)A, when C is varied, while keeping R fixed, ...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
+
–
0
votes
0
answers
823
GATE2018IN: 7
The Thevenin equivalent circuit representation across terminals p – q of the circuit shown in the figure is a 1 V source in series with 150k$\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
+
–
0
votes
0
answers
824
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
+
–
0
votes
0
answers
825
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
+
–
0
votes
0
answers
826
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
+
–
0
votes
0
answers
827
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
+
–
0
votes
0
answers
828
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
+
–
0
votes
0
answers
829
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
+
–
0
votes
0
answers
830
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
+
–
0
votes
0
answers
831
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$$72$
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Quantitative Aptitude
gate2018-in
numerical-ability
counting
+
–
0
votes
0
answers
832
GATE2018-GA-8
To pass a test, a candidate needs to answer at least $2$ out of $3$ questions correctly. A total of $6,30,000$ candidates appeared for the test. Question $A$ was correctly answered by $3,30,000$ candidates. Question $B$ was answered correctly by $2,50,000$ candidates. Question $C$ was answered correctly by $2,60,000$ candidates ... all questions correctly is the same as the number answering none, how many candidates failed to clear the test? $30,000$ $2,70,000$ $3,90,000$ $4,20,000$
To pass a test, a candidate needs to answer at least $2$ out of $3$ questions correctly. A total of $6,30,000$ candidates appeared for the test. Question $A$ was correctl...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Quantitative Aptitude
gate2018-in
numerical-ability
counting
+
–
0
votes
0
answers
833
GATE2018-GA-9
If $x^{2}+ x - 1 = 0$ what is the value of $x^4 + \dfrac{1}{x^4}$? $1$ $5$ $7$ $9$
If $x^{2}+ x - 1 = 0$ what is the value of $x^4 + \dfrac{1}{x^4}$?$1$$5$$7$$9$
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Quantitative Aptitude
gate2018-in
numerical-ability
algebra
+
–
0
votes
0
answers
834
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
+
–
0
votes
0
answers
835
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
+
–
0
votes
0
answers
836
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
+
–
0
votes
0
answers
837
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)$$\left(\dfrac{\pi}{2},\pi\r...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Quantitative Aptitude
gate2018-in
numerical-ability
functions
trigonometry
+
–
0
votes
0
answers
838
GATE2018-GA-4
The area of an equilateral triangle is $\sqrt{3}$. What is the perimeter of the triangle$?$ $2$ $4$ $6$ $8$
The area of an equilateral triangle is $\sqrt{3}$. What is the perimeter of the triangle$?$$2$$4$$6$$8$
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Quantitative Aptitude
gate2018-in
numerical-ability
geometry
triangles
+
–
0
votes
0
answers
839
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
+
–
0
votes
0
answers
840
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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