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Questions by Milicevic3306
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41
GATE ECE 2016 Set 3 | Question: 31
The ROC (region of convergence) of the $z$-transform of a discrete-time signal is represented by the shaded region in the $z$-plane. If the signal $x[n]=(2.0)^{\mid n\mid},-\infty<n<+\infty$, then the ROC of its $z$-transform is represented by
The ROC (region of convergence) of the $z$-transform of a discrete-time signal is represented by the shaded region in the $z$-plane. If the signal $x[n]=(2.0)^{\mid n\mid...
133
views
asked
Mar 27, 2018
Numerical Methods
gate2016-ec-3
numerical-methods
convergence-criteria
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0
votes
0
answers
42
GATE ECE 2016 Set 3 | Question: 32
Assume that the circuit in the figure has reached the steady state before time $t = 0$ when the $3\;\Omega$ resistor suddenly burns out, resulting in an open circuit. The current $i(t)$ (in ampere) at $t=0^+$ is _______
Assume that the circuit in the figure has reached the steady state before time $t = 0$ when the $3\;\Omega$ resistor suddenly burns out, resulting in an open circuit. The...
223
views
asked
Mar 27, 2018
Network Solution Methods
gate2016-ec-3
numerical-answers
network-solution-methods
steady-state
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–
0
votes
0
answers
43
GATE ECE 2016 Set 3 | Question: 33
In the figure shown, the current $i$ (in ampere) is _________
In the figure shown, the current $i$ (in ampere) is _________
200
views
asked
Mar 27, 2018
Electronic Devices
gate2016-ec-3
numerical-answers
electronic-devices
carrier-transport
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–
0
votes
0
answers
44
GATE ECE 2016 Set 3 | Question: 34
The $z$-parameter matrix $\begin{bmatrix} z_{11} &z_{12}\\ z_{21} &z_{22} \end{bmatrix}$ for the two-port network shown is $\begin{bmatrix} 2 &-2\\-2 &2 \end{bmatrix} \\$ $\begin{bmatrix} 2 &2\\2 &2 \end{bmatrix} \\$ $\begin{bmatrix} 9 &-3\\6 &9 \end{bmatrix} \\$ $\begin{bmatrix} 9 &3\\6 &9 \end{bmatrix}$
The $z$-parameter matrix $\begin{bmatrix} z_{11} &z_{12}\\ z_{21} &z_{22} \end{bmatrix}$ for the two-port network shown is $\begin{bmatrix} 2 &-2\\-2 &2 \end{bmatrix} \\$...
154
views
asked
Mar 27, 2018
Network Solution Methods
gate2016-ec-3
network-solution-methods
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–
0
votes
0
answers
45
GATE ECE 2016 Set 3 | Question: 35
A continuous-time speech signal $x_a(t)$ is sampled at a rate of $8\:kHz$ and the samples are subsequently grouped in blocks, each of size $N$. The DFT of each block is to be computed in real time using the radix-$2$ decimation-in- ... by $1$ and $-1$) and the time required for addition/subtraction is negligible, then the maximum value of $N$ is _________
A continuous-time speech signal $x_a(t)$ is sampled at a rate of $8\:kHz$ and the samples are subsequently grouped in blocks, each of size $N$. The DFT of each block is t...
252
views
asked
Mar 27, 2018
Continuous-time Signals
gate2016-ec-3
numerical-answers
continuous-time-signals
discrete-fourier-transform
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–
0
votes
0
answers
46
GATE ECE 2016 Set 3 | Question: 36
The direct form structure of an FIR (finite impulse response) filter is shown in the figure. The filter can be used to approximate a low-pass filter high-pass filter band-pass filter band-stop filter
The direct form structure of an FIR (finite impulse response) filter is shown in the figure.The filter can be used to approximate alow-pass filterhigh-pass filterband-pas...
156
views
asked
Mar 27, 2018
Continuous-time Signals
gate2016-ec-3
continuous-time-signals
impulse-response
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–
1
votes
0
answers
47
GATE ECE 2016 Set 3 | Question: 37
The injected excess electron concentration profile in the base region of an $npn$ BJT, biased in the active region, is linear, as shown in the figure. If the area of the emitter-base junction is $0.001\:cm^2 ,\mu_n=800cm^2/(V-s)$ in the ... is _________ (Given: thermal voltage $V_T=26 \: mV$ at room temperature, electronic charge $ q=1.6\times10^{-19}C$)
The injected excess electron concentration profile in the base region of an $npn$ BJT, biased in the active region, is linear, as shown in the figure. If the area of the ...
253
views
asked
Mar 27, 2018
Analog Circuits
gate2016-ec-3
numerical-answers
analog-circuits
bipolar-junction-transistor
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–
0
votes
0
answers
48
GATE ECE 2016 Set 3 | Question: 38
Figures I and II show two MOS capacitors of unit area. The capacitor in Figure I has insulator materials $X$ (of thickness $t_1 = 1$ nm and dielectric constant $\varepsilon_1=4$) and $Y$ (of thickness $t_2 = 3$ ... of thickness $t_{Eq}$. If the capacitors are of equal capacitance, then the value of $t_{Eq}$ (in nm) is _________
Figures I and II show two MOS capacitors of unit area. The capacitor in Figure I has insulator materials $X$ (of thickness $t_1 = 1$ nm and dielectric constant $\varepsil...
112
views
asked
Mar 27, 2018
Electronic Devices
gate2016-ec-3
numerical-answers
electronic-devices
mos-capacitor
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–
0
votes
0
answers
49
GATE ECE 2016 Set 3 | Question: 39
The $I-V$ characteristics of the zener diodes $D1\:\text{and}\:D2$ are shown in Figure I. These diodes are used in the circuit given in Figure II. If the supply voltage is varied from $0$ to $100$ V,then breakdown occurs in $D1$ only $D2$ only both $D1$ and $D2$ none of $D1$ and $D2$
The $I-V$ characteristics of the zener diodes $D1\:\text{and}\:D2$ are shown in Figure I. These diodes are used in the circuit given in Figure II. If the supply voltage i...
109
views
asked
Mar 27, 2018
Electronic Devices
gate2016-ec-3
electronic-devices
zener-diode
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0
votes
0
answers
50
GATE ECE 2016 Set 3 | Question: 40
For the circuit shown in the figure, $R_1=R_2=R_3=1\;\Omega,\;L=1\:\mu H$ and $C=1\:\mu F$. If the input $V_{in}=\cos(10^6t)$, then the overall voltage gain $(V_{out}/V_{in})$ of the circuit is _________
For the circuit shown in the figure, $R_1=R_2=R_3=1\;\Omega,\;L=1\:\mu H$ and $C=1\:\mu F$. If the input $V_{in}=\cos(10^6t)$, then the overall voltage gain $(V_{out}/V_{...
84
views
asked
Mar 27, 2018
Electronic Devices
gate2016-ec-3
numerical-answers
electronic-devices
+
–
0
votes
0
answers
51
GATE ECE 2016 Set 3 | Question: 41
In the circuit shown in the figure , the channel length modulation of all transistors is non-zero $(\lambda\neq0)$. Also, all transistors operate in saturation and have negligible body effect .The ac small signal voltage gain ($V_o/V_{in}$ ... $-g_{m1}(r_{o1}\mid\mid \left (\frac{1}{gm3}\mid\mid r_{o3})\mid\mid r_{o2} \right )$
In the circuit shown in the figure , the channel length modulation of all transistors is non-zero $(\lambda\neq0)$. Also, all transistors operate in saturation and have n...
235
views
asked
Mar 27, 2018
Analog Circuits
gate2016-ec-3
analog-circuits
transistor
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–
1
votes
0
answers
52
GATE ECE 2016 Set 3 | Question: 42
In the circuit shown in the figure, transistor $M1$ is in saturation and has transconductance $g_m = 0.01$ siemens. Ignoring internal parasitic capacitances and assuming the channel length modulation $\lambda$ to be zero,the small signal input pole frequency (in $kHz$) is _________
In the circuit shown in the figure, transistor $M1$ is in saturation and has transconductance $g_m = 0.01$ siemens. Ignoring internal parasitic capacitances and assuming ...
150
views
asked
Mar 27, 2018
Network Solution Methods
gate2016-ec-3
numerical-answers
network-solution-methods
+
–
2
votes
1
answer
53
GATE ECE 2016 Set 3 | Question: 43
Following is the K-map of a Boolean function of five variables $P,Q,R,S$ and $X$ ... $\overline{Q}\:S\:X+\;Q\:\overline{S}\:\overline{X}$ $\overline{Q}\:S+\;Q\overline{S}$
Following is the K-map of a Boolean function of five variables $P,Q,R,S$ and $X$. The minimum sum-of-product (SOP) expression for the function is$\overline{P}\:\overline{...
393
views
asked
Mar 27, 2018
Digital Circuits
gate2016-ec-3
digital-circuits
k-map
min-sum-of-products-form
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0
votes
0
answers
54
GATE ECE 2016 Set 3 | Question: 44
For the circuit shown in the figure, the delays of NOR gates, multiplexers and inverters are $2$ ns, $1.5$ ns and $1$ ns, respectively. If all the inputs $P, Q, R, S$ and $T$ are applied at the same time instant, the maximum propagation delay (in ns) of the circuit is _________
For the circuit shown in the figure, the delays of NOR gates, multiplexers and inverters are $2$ ns, $1.5$ ns and $1$ ns, respectively. If all the inputs $P, Q, R, S$ and...
228
views
asked
Mar 27, 2018
Number Representations
gate2016-ec-3
numerical-answers
digital-circuits
combinational-circuits
logic-gates
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–
0
votes
0
answers
55
GATE ECE 2016 Set 3 | Question: 45
For the circuit shown in the figure, the delay of the bubbled NAND gate is $2\:ns$ and that of the counter is assumed to be zero. If the clock (Clk) frequency is $1\:GHz$, then the counter behaves as a $\text{mod}-5\:\text{counter}$ $\text{mod}-6\:\text{counter}$ $\text{mod}-7\:\text{counter}$ $\text{mod}-8\:\text{counter}$
For the circuit shown in the figure, the delay of the bubbled NAND gate is $2\:ns$ and that of the counter is assumed to be zero. If the clock (Clk) frequency is $1\:GHz$...
224
views
asked
Mar 27, 2018
Number Representations
gate2016-ec-3
digital-circuits
sequential-circuit
counters
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–
0
votes
0
answers
56
GATE ECE 2016 Set 3 | Question: 46
The first two rows in the Routh table for the characteristic equation of a certain closed-loop control system are given as $\begin{array}{|c|cc} \hline s^3 & 1 &(2K+3) \\ s^2 & 2K & 4 \end{array}$ The range of $K$ for which the system is stable is $-2.0<K<0.5$ $0<K<0.5$ $0<K<\infty$ $0.5<K<\infty$
The first two rows in the Routh table for the characteristic equation of a certain closed-loop control system are given as$$\begin{array}{|c|cc} \hline s^3 & 1 &(2K+3) \\...
135
views
asked
Mar 27, 2018
Control Systems
gate2016-ec-3
control-systems
routh-hurwitz
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–
0
votes
0
answers
57
GATE ECE 2016 Set 3 | Question: 47
A second-order linear time-invariant system is described by the following state equations $\frac{d}{dt}x_1(t)+2x_1(t)=3u(t)$ $\frac{d}{dt}x_2(t)+x_2(t)=u(t)$ where $x_1(t)$ and $x_2(t)$ are the two ... , then the system is controllable but not observable observable but not controllable both controllable and observable neither controllable nor observable
A second-order linear time-invariant system is described by the following state equations$$\frac{d}{dt}x_1(t)+2x_1(t)=3u(t)$$$$\frac{d}{dt}x_2(t)+x_2(t)=u(t)$$where $x_1(...
173
views
asked
Mar 27, 2018
Network Solution Methods
gate2016-ec-3
network-solution-methods
state-equations
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–
0
votes
0
answers
58
GATE ECE 2016 Set 3 | Question: 48
The forward-path transfer function and the feedback-path transfer function of a single loop negative feedback control system are given as $G(s)=\frac{K(s+2)}{s^2+2s+2}\;\text{and}\hspace{0.3cm}H(s)=1,$ respectively. If the variable parameter $K$ is real positive, then the location of the breakaway point on the root locus diagram of the system is _________
The forward-path transfer function and the feedback-path transfer function of a single loop negative feedback control system are given as$$G(s)=\frac{K(s+2)}{s^2+2s+2}\;\...
144
views
asked
Mar 27, 2018
Network Solution Methods
gate2016-ec-3
numerical-answers
network-solution-methods
transfer-function
bode-and-root-locus-plots
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–
0
votes
0
answers
59
GATE ECE 2016 Set 3 | Question: 49
A wide sense stationary random process $X(t)$ passes through the LTI system shown in the figure. If the autocorrelation function of $X(t)$ is $R_X(\tau)$, then the autocorrelation function $R_Y(\tau)$ of the output $Y(t)$ ... $2R_X(\tau)-R_X(\tau-T_0)-R_X(\tau+T_0)$ $2R_X(\tau)+2R_X(\tau- 2T_0)$ $2R_X(\tau)-2R_X(\tau- 2T_0)$
A wide sense stationary random process $X(t)$ passes through the LTI system shown in the figure. If the autocorrelation function of $X(t)$ is $R_X(\tau)$, then the autoco...
143
views
asked
Mar 27, 2018
Continuous-time Signals
gate2016-ec-3
continuous-time-signals
signals-and-systems
linear-time-invariant-systems
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–
0
votes
0
answers
60
GATE ECE 2016 Set 3 | Question: 50
A voice-grade AWGN (additive white Gaussian noise) telephone channel has a bandwidth of $4.0\:kHz$ and two-sided noise power spectral density ${\large\frac{\eta}{2}}=2.5\times10^{-5}Watt\:per\:Hz$. If information at the rate ... transmitted over this channel with arbitrarily small bit error rate, then the minimum bit-energy $E_b$ (in mJ/bit) necessary is _______
A voice-grade AWGN (additive white Gaussian noise) telephone channel has a bandwidth of $4.0\:kHz$ and two-sided noise power spectral density ${\large\frac{\eta}{2}}=2.5\...
124
views
asked
Mar 27, 2018
Vector Analysis
gate2016-ec-3
numerical-answers
vector-analysis
gauss's-theorem
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–
0
votes
0
answers
61
GATE ECE 2016 Set 3 | Question: 51
The bit error probability of a memoryless binary symmetric channel is $10^{-5}$. If $10^5$ bits are sent over this channel, then the probability that not more than one bit will be in error is _______
The bit error probability of a memoryless binary symmetric channel is $10^{-5}$. If $10^5$ bits are sent over this channel, then the probability that not more than one bi...
216
views
asked
Mar 27, 2018
Probability and Statistics
gate2016-ec-3
numerical-answers
probability-and-statistics
probability
+
–
0
votes
0
answers
62
GATE ECE 2016 Set 3 | Question: 52
Consider an air-filled rectangular waveguide with dimensions $a=2.286\:cm$ and $b=1.016\:cm$. At $10 \:GHz$ operating frequency, the value of the propagation constant (per meter) of the corresponding propagation mode is _______
Consider an air-filled rectangular waveguide with dimensions $a=2.286\:cm$ and $b=1.016\:cm$. At $10 \:GHz$ operating frequency, the value of the propagation constant (pe...
97
views
asked
Mar 27, 2018
Electromagnetics
gate2016-ec-3
numerical-answers
electromagnetics
waveguides
+
–
0
votes
0
answers
63
GATE ECE 2016 Set 3 | Question: 53
Consider an air-filled rectangular waveguide with dimensions $a=2.286\:cm$ and $b=1.016\:cm$. The increasing order of the cut-off frequencies for different modes is $TE_{01}<TE_{10}<TE_{11}<TE_{20}$ $TE_{20}<TE_{11}<TE_{10}<TE_{01}$ $TE_{10}<TE_{20}<TE_{01}<TE_{11}$ $TE_{10}<TE_{11}<TE_{20}<TE_{01}$
Consider an air-filled rectangular waveguide with dimensions $a=2.286\:cm$ and $b=1.016\:cm$. The increasing order of the cut-off frequencies for different modes is $TE_{...
64
views
asked
Mar 27, 2018
Electromagnetics
gate2016-ec-3
electromagnetics
waveguides
+
–
0
votes
0
answers
64
GATE ECE 2016 Set 3 | Question: 54
A radar operating at $5\:GHz$ uses a common antenna for transmission and reception. The antenna has a gain of $150$ and is aligned for maximum directional radiation and reception to a target $1\:km$ away having radar cross-section of $3\:m^2$. If it transmits $100\:kW$, then the received power (in $\mu W)$ is _______
A radar operating at $5\:GHz$ uses a common antenna for transmission and reception. The antenna has a gain of $150$ and is aligned for maximum directional radiation and r...
84
views
asked
Mar 27, 2018
Electromagnetics
gate2016-ec-3
numerical-answers
electromagnetics
antennas
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–
0
votes
0
answers
65
GATE ECE 2016 Set 3 | Question: 55
Consider the charge profile shown in the figure. The resultant potential distribution is best described by
Consider the charge profile shown in the figure. The resultant potential distribution is best described by
146
views
asked
Mar 27, 2018
Electromagnetics
gate2016-ec-3
electromagnetics
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–
0
votes
0
answers
66
GATE ECE 2016 Set 2 | GA Question: 1
Based on the given statements, select the appropriate option with respect to grammar and usage. Statements The height of Mr. $X$ is $6$ feet. The height of Mr. $Y$ is $5$ feet. Mr. $X$ is longer than Mr. $Y$. Mr. $X$ is more elongated than Mr. $Y$. Mr. $X$ is taller than Mr. $Y$. Mr. $X$ is lengthier than Mr. $Y$.
Based on the given statements, select the appropriate option with respect to grammar and usage.StatementsThe height of Mr. $X$ is $6$ feet. The height of Mr. $Y$ is $5...
88
views
asked
Mar 27, 2018
Verbal Aptitude
gate2016-ec-2
verbal-aptitude
english-grammar
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–
0
votes
0
answers
67
GATE ECE 2016 Set 2 | GA Question: 2
The students ___________ the teacher on the teachers’ day for twenty years of dedicated teaching. facilitated felicitated fantasized facillitated
The students ___________ the teacher on the teachers’ day for twenty years of dedicated teaching.facilitatedfelicitatedfantasizedfacillitated
107
views
asked
Mar 27, 2018
Verbal Aptitude
gate2016-ec-2
verbal-aptitude
most-appropriate-word
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–
0
votes
0
answers
68
GATE ECE 2016 Set 2 | GA Question: 3
After India’s cricket world cup victory in $1985$, Shrotria who was playing both tennis and cricket till then, decided to concentrate only on cricket. And the $\underline{\text{rest is history}}$. What does the underlined phrase mean in this context? history will rest in peace rest is recorded in history books rest is well known rest is archaic
After India’s cricket world cup victory in $1985$, Shrotria who was playing both tennis and cricket till then, decided to concentrate only on cricket. And the $\underli...
77
views
asked
Mar 27, 2018
Verbal Aptitude
gate2016-ec-2
verbal-aptitude
verbal-reasoning
passage-reading
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–
0
votes
0
answers
69
GATE ECE 2016 Set 2 | GA Question: 4
Given ($9$ inches)$^{1/2}=(0.25$ yards)$^{1/2}$, which one of the following statements is $TRUE$? $3$ inches $= 0.5$ yards $9$ inches $= 1.5$ yards $9$ inches $= 0.25$ yards $81$ inches $= 0.0625$ yards
Given ($9$ inches)$^{1/2}=(0.25$ yards)$^{1/2}$, which one of the following statements is $TRUE$?$3$ inches $= 0.5$ yards$9$ inches $= 1.5$ yards$9$ inches $= 0.25$ yards...
97
views
asked
Mar 27, 2018
Analytical Aptitude
gate2016-ec-2
analytical-aptitude
logical-reasoning
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–
0
votes
0
answers
70
GATE ECE 2016 Set 2 | GA Question: 5
$S$, $M$, $E$ and $F$ are working in the shifts in a team to finish a project. $M$ works with twice the efficiency of others but for half as many days as $E$ worked. $S$ amd $M$ have $6$ hour shifts in a day, whereas $E$ and $F$ have $12$ hours shifts. What is the ratio of contribution of $M$ to contribute of $E$ in the project? $1:1$ $1:2$ $1:4$ $2:1$
$S$, $M$, $E$ and $F$ are working in the shifts in a team to finish a project. $M$ works with twice the efficiency of others but for half as many days as $E$ worked. $S$ ...
82
views
asked
Mar 27, 2018
Quantitative Aptitude
gate2016-ec-2
numerical-ability
ratio-proportions
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–
0
votes
0
answers
71
GATE ECE 2016 Set 2 | GA Question: 6
The Venn diagram shows the preference of the students population for leisure activities. From the data given, the number of students who like to read books or play sports is _____. $44$ $51$ $79$ $108$
The Venn diagram shows the preference of the students population for leisure activities. From the data given, the number of stud...
101
views
asked
Mar 27, 2018
Quantitative Aptitude
gate2016-ec-2
numerical-ability
venn-diagrams
+
–
0
votes
0
answers
72
GATE ECE 2016 Set 2 | GA Question: 7
Social science disciplines were existence in an amorphous form until the colonial period when they were institutionalized. In varying degrees, they were intended to further the colonial interest. In the time of globalization and the economic rise ... science disciplines must maintain disciplinary boundaries ii only i and iii only ii and iv only iii and iv only
Social science disciplines were existence in an amorphous form until the colonial period when they were institutionalized. In varying degrees, they were intended to furth...
83
views
asked
Mar 27, 2018
Verbal Aptitude
gate2016-ec-2
verbal-aptitude
verbal-reasoning
passage-reading
+
–
0
votes
0
answers
73
GATE ECE 2016 Set 2 | GA Question: 8
Two and a quarter hours back, when seen in a mirror, the reflection of a wall clock without umber markings seemed to show $1.30$. What is the actual current time shown by the clock? $8.15$ $11.15$ $12.15$ $12.45$
Two and a quarter hours back, when seen in a mirror, the reflection of a wall clock without umber markings seemed to show $1.30$. What is the actual current time shown by...
99
views
asked
Mar 27, 2018
Quantitative Aptitude
gate2016-ec-2
numerical-ability
clock-time
+
–
0
votes
0
answers
74
GATE ECE 2016 Set 2 | GA Question: 9
$M$ and $N$ start from the same location. $M$ travels $10$ km east ad then $10$ km North-East. $N$ travels $5$ km South and then $4$ km South-East. What is the shortest distance (in km) between $M$ and $N$ at the end of their travel? $18.60$ $22.50$ $20.61$ $25.00$
$M$ and $N$ start from the same location. $M$ travels $10$ km east ad then $10$ km North-East. $N$ travels $5$ km South and then $4$ km South-East. What is the shortest d...
77
views
asked
Mar 27, 2018
Quantitative Aptitude
gate2016-ec-2
numerical-ability
direction-sense
+
–
0
votes
0
answers
75
GATE ECE 2016 Set 2 | GA Question: 10
A wire of length $340$ mm is to be cut into two parts. One of the parts is to be made into a square and the other into a rectangle where sides are in the ratio of $1:2$. What is the length of the square (in mm) such that the combined area of the square and the rectagle is a $\textbf{MINIMUM?}$ $30$ $40$ $120$ $180$
A wire of length $340$ mm is to be cut into two parts. One of the parts is to be made into a square and the other into a rectangle where sides are in the ratio of $1:2$. ...
101
views
asked
Mar 27, 2018
Quantitative Aptitude
gate2016-ec-2
numerical-ability
geometry
area
+
–
0
votes
0
answers
76
GATE ECE 2016 Set 2 | Question: 1
The value of $x$ for which the matrix $A= \begin{bmatrix} 3& 2 &4 \\ 9& 7 & 13\\ -6&-4 &-9+x \end{bmatrix}$ has zero as an eigenvalue is ________
The value of $x$ for which the matrix $A= \begin{bmatrix} 3& 2 &4 \\ 9& 7 & 13\\ -6&-4 &-9+x \end{bmatrix}$ has zero as an eigenvalue is ________
113
views
asked
Mar 27, 2018
Linear Algebra
gate2016-ec-2
numerical-answers
linear-algebra
matrices
eigen-values
+
–
0
votes
0
answers
77
GATE ECE 2016 Set 2 | Question: 2
Consider the complex valued function $f(z)=2z^{3}+b\mid z \mid^{3}$ where $z$ is a complex variable. The value of $b$ for which function $f(z)$ is analytic is _________
Consider the complex valued function $f(z)=2z^{3}+b\mid z \mid^{3}$ where $z$ is a complex variable. The value of $b$ for which function $f(z)$ is analytic is _________
112
views
asked
Mar 27, 2018
Complex Analysis
gate2016-ec-2
numerical-answers
complex-analysis
+
–
0
votes
0
answers
78
GATE ECE 2016 Set 2 | Question: 3
As $x$ varies from $-1$ to $+3$, which one of the following describes the behaviour of the function $f(x)=x^{3}-3x^{2}+1?$ $f(x)$ increases monotonically. $f(x)$ increases, then decreases and increases again. $f(x)$ decreases, then increases and decreases again. $f(x)$ increases and then decreases.
As $x$ varies from $-1$ to $+3$, which one of the following describes the behaviour of the function $f(x)=x^{3}-3x^{2}+1?$$f(x)$ increases monotonically.$f(x)$ increases,...
102
views
asked
Mar 27, 2018
Calculus
gate2016-ec-2
calculus
maxima-minima
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–
0
votes
0
answers
79
GATE ECE 2016 Set 2 | Question: 4
How many distinct value of $x$ satisfy the equation $\sin(x)=x/2$, where $x$ is in radians? $1$ $2$ $3$ $4$ or more
How many distinct value of $x$ satisfy the equation $\sin(x)=x/2$, where $x$ is in radians?$1$$2$$3$$4$ or more
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Mar 27, 2018
Calculus
gate2016-ec-2
calculus
functions
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0
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0
answers
80
GATE ECE 2016 Set 2 | Question: 5
Consider the time-varying vector $\textbf{I}=\hat{x}15\cos(\omega t)+\hat{y}5\sin(\omega t)$ in Cartesian coordinates, where $\omega> 0$ is a constant. When the vector magnitude $\mid \textbf{I} \mid$ is at its minimum value, the angle $\theta$ that $\textbf{I}$ makes with the $x$ axis (in degrees, such that $ 0\leq \theta \leq 180)$ ________
Consider the time-varying vector $\textbf{I}=\hat{x}15\cos(\omega t)+\hat{y}5\sin(\omega t)$ in Cartesian coordinates, where $\omega 0$ is a constant. When the vector mag...
343
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asked
Mar 27, 2018
Vector Analysis
gate2016-ec-2
numerical-answers
vector-analysis
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