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Recent questions tagged gate2018-ee
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GATE Electrical 2018 | GA Question: 6
An e-mail password must contain three characters. The password has to contain one numeral from $0$ to $9,$ one upper case and one lower case character from the English alphabet. How many distinct passwords are possible$?$ $6,760$ $13,520$ $40,560$ $1,05,456$
Arjun
asked
in
Quantitative Aptitude
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
numerical-ability
counting
0
votes
1
answer
2
GATE Electrical 2018 | GA Question: 9
A designer uses marbles of four different colours for his designs. The cost of each marble is the same, irrespective of the colour. The table below shows the percentage of marbles of each colour used in the current design. The cost of each marble increased by $25 \%$. ... $35.75$ $40.25$ $43.75$ $46.25$
Arjun
asked
in
Quantitative Aptitude
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
numerical-ability
percentage
0
votes
1
answer
3
GATE Electrical 2018 | GA Question: 8
A class of twelve children has two more boys than girls. A group of three children are randomly picked from this class to accompany the teacher on a field trip. What is the probability that the group accompanying the teacher contains more girls than boys? $0 \\ $ $\frac{325}{864} \\ $ $\frac{525}{864} \\ $ $\frac{5}{12}$
Arjun
asked
in
Quantitative Aptitude
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
numerical-ability
probability
0
votes
2
answers
4
GATE Electrical 2018 | GA Question: 7
In a certain code, $AMCF$ is written as $EQGJ$ and $NKUF$ is written as $ROYJ.$ How will $DHLP$ be written in that code$?$ $RSTN$ $TLPH$ $HLPT$ $XSVR$
Arjun
asked
in
Analytical Aptitude
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
analytical-aptitude
logical-reasoning
sequence-series
0
votes
1
answer
5
GATE Electrical 2018 | GA Question: 5
Functions $F(a,b)$ and $G(a,b)$ are defined as follows: $F(a,b)=(a-b)^{2}$ and $G(a,b)=\mid a-b\mid ,$ where $\mid x\mid$ represents the absolute value of $x.$ What would be the value of $G(F(1,3),G(1,3))?$ $2$ $4$ $6$ $36$
Arjun
asked
in
Quantitative Aptitude
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
numerical-ability
functions
0
votes
1
answer
6
GATE Electrical 2018 | GA Question: 4
For what values of $k$ given below is $\dfrac{(k + 2)^2}{(k - 3)}$ an integer? $4 , 8 , 18 $ $4 , 10 , 16$ $ 4 , 8 , 28 $ $8 , 26 , 28$
Arjun
asked
in
Quantitative Aptitude
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
numerical-ability
algebra
0
votes
0
answers
7
GATE Electrical 2018 | GA Question: 3
The three roots of the equation $f(x) = 0$ are $x = {−2, 0, 3}.$ What are the three values of $ x $ for which $f(x − 3) = 0?$ $−5 , −3 , 0 $ $−2 , 0 , 3$ $0 , 6 , 8$ $1 , 3 , 6$
Arjun
asked
in
Quantitative Aptitude
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
numerical-ability
quadratic-equations
cubic-equations
0
votes
1
answer
8
GATE Electrical 2018 | GA Question: 10
$P, Q, R,$ and $S$ crossed a lake in a boat that can hold a maximum of two persons, with only one set of oars. The following additional facts are available. The boat held two persons on each of the three forward trips across the lake and one person ... person rowed for at least one trip. Only one person can row during a trip. Who rowed twice? $P$ $Q$ $R$ $S$
Arjun
asked
in
Analytical Aptitude
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
analytical-aptitude
logical-reasoning
0
votes
1
answer
9
GATE Electrical 2018 | GA Question: 2
“A common misconception among writers is that sentence structure mirrors thought; the more _________ the structure, the more complicated the ideas.” The word that best fills the blank in the above sentence is detailed simple clear convoluted
Arjun
asked
in
Verbal Aptitude
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
verbal-ability
most-appropriate-word
0
votes
1
answer
10
GATE Electrical 2018 | GA Question: 1
“Since you have gone off the ________, the _________ sand is likely to damage the car.” The words that best fill the blanks in the above sentence are course, coarse course, course coarse, course coarse, coarse
Arjun
asked
in
Verbal Aptitude
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
verbal-ability
most-appropriate-word
0
votes
0
answers
11
GATE Electrical 2018 | Question: 55
The voltage $v(t)$ across the terminals $a$ and $b$ as shown in the figure, is a sinusoidal voltage having a frequency $\omega = 100 \text{ radian/s}$. When the inductor current $i(t)$ is in phase with the voltage $v(t)$, the magnitude of the impedance $Z$ (in $\Omega$) seen between the terminals $a$ and $b$ is __________ (up to $2$ decimal places)
Arjun
asked
in
new
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
numerical-answers
0
votes
0
answers
12
GATE Electrical 2018 | Question: 54
The equivalent circuit of a single phase induction motor is shown in the figure, where the parameters are $R_1 =R_2=X_{l1}=X_{l2} = 12 \Omega$, $X_M=240 \: \Omega$ and $S$ is the slip. At no-load, the motor speed can be approximated to the synchronous speed. The no-load lagging power factor of the motor is __________ (up to $3$ decimal places).
Arjun
asked
in
new
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
numerical-answers
0
votes
0
answers
13
GATE Electrical 2018 | Question: 53
A dc to dc converter shown in the figure is charging a battery bank, $B2$ whose voltage is constant at $150 \: V$. $B1$ is another battery bank whose voltage is constant at $50 \: V$. The value of the inductor, $L$ is $5$ mH and the ... assuming the diode D to be ideal, the power transferred from $B1$ to $B2$ (in Watt) is ___________ (up to $2$ decimal places)
Arjun
asked
in
new
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
numerical-answers
0
votes
1
answer
14
GATE Electrical 2018 | Question: 52
A $200$ V DC series motor, when operating from rated voltage while driving a certain load, draws $10$ A current and runs at $1000$ r.p.m. The total series resistance is $1 \: \Omega$. The magnetic circuit is assumed to be linear. At the ... the load torque is increased by $44 \%$. The speed of the motor in r.p.m (rounded to the nearest integer) is _____________
Arjun
asked
in
new
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
numerical-answers
0
votes
0
answers
15
GATE Electrical 2018 | Question: 51
A $3$-phase $900$ kVA, $3 \: kV/ \sqrt{3} kV$ ( $\Delta/$), $50$ Hz transformer has primary (high voltage side) resistance per phase of $0.3 \: \Omega$ and secondary (low voltage side) resistance per phase of $0.02 \: \Omega$. ... is $10 \: kW$. The full load $\%$ efficiency of the transformer operated at unity power factor is _______ (up to $2$ decimal places)
Arjun
asked
in
new
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
numerical-answers
0
votes
0
answers
16
GATE Electrical 2018 | Question: 50
The figure shows two buck converters connected in parallel. The common input dc voltage for the converters has a value of $100 \: V$. The converters have inductors of identical value. The load resistance is $1 \: \Omega$. The capacitor voltage has negligible ... of $i_{s1}$, the current of switch $S1$ (in Ampere), is ____________ (up to $2$ decimal places).
Arjun
asked
in
new
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
numerical-answers
0
votes
0
answers
17
GATE Electrical 2018 | Question: 49
A phase controlled single phase rectifier, supplied by an AC source, feeds power to an $R-L-E$ load as shown in the figure. The rectifier output voltage has an average value given by $V_{\text{o}}= \frac{V_m}{2 \pi} (3+\cos \alpha)$, ... . If the power delivered to the lossless battery is $1600$ W, $\alpha$ in degree is ___________ (up to $2$ decimal places).
Arjun
asked
in
new
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
numerical-answers
0
votes
0
answers
18
GATE Electrical 2018 | Question: 48
The voltage across the circuit in the figure, and the current through it, are given by the following expressions: $v(t)=5-10 \cos (\omega t+ 60^{\circ}) \: V$ $i(t)=5 + X \cos (\omega t) \: A$ where $\omega =100 \: \pi \text{ radian}/s$. If the average power delivered to the circuit is zero, then the value of $X$ (in Ampere) is _______ (up to $2$ decimal places)
Arjun
asked
in
new
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
numerical-answers
0
votes
0
answers
19
GATE Electrical 2018 | Question: 47
A three-phase load is connected to a three-phase balanced supply as shown in the figure. If $V_{\text{an}} = 100 \angle 0^{\circ} \: V$, $V_{\text{bn}}=100 \angle - 120 ^{\circ} \: V$ ... in the anti-clockwise direction), the value of $R$ for zero current in the neutral wire is __________ $\Omega$ (up to $2$ decimal places).
Arjun
asked
in
new
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
numerical-answers
0
votes
0
answers
20
GATE Electrical 2018 | Question: 46
The unit step response $y(t)$ of a unity feedback system with open loop transfer function $G(s)H(s)= \frac{K}{(s+1)^2(s+2)}$ is shown in the figure. The value of $K$ is ___________ (up to $2$ decimal places).
Arjun
asked
in
new
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
numerical-answers
0
votes
0
answers
21
GATE Electrical 2018 | Question: 44
Let $A= \begin{bmatrix} 1 & 0 & -1 \\ -1 & 2 & 0 \\ 0 & 0 & -2 \end{bmatrix}$ and $B=A^3-A^2-4A+5I$, where $I$ is the $3 \times 3$ identify matrix. The determinant of $B$ is _______ (up to $1$ decimal place).
Arjun
asked
in
Linear Algebra
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
numerical-answers
linear-algebra
matrices
determinant
0
votes
0
answers
22
GATE Electrical 2018 | Question: 43
Let $f(x) = 3x^3-7x^2+5x+6$. The maximum value of $f(x)$ over the interval $[0,2]$ is ________ (up to one decimal place).
Arjun
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in
Calculus
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
numerical-answers
calculus
maxima-minima
0
votes
0
answers
23
GATE Electrical 2018 | Question: 42
As shown in the figure, $C$ is the arc from the point $(3,0)$ to the point $(0,3)$ on the circle $x^2+y^2=9$. The value of the integral $\int_C (y^2+2yx) dx +(2xy+x^2)dy$ is ________ (up to $2$ decimal places).
Arjun
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in
Calculus
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
numerical-answers
calculus
definite-integral
0
votes
0
answers
24
GATE Electrical 2018 | Question: 40
The Fourier transform of a continuous-time signal $x(t)$ is given by $X(\omega) = \frac{1}{(10+j \omega)^2}, – \infty < \omega < \infty$, where $j = \sqrt{-1}$ and $\omega$ denoes frequency. Then the value of $\mid \text{ln } x(t) \mid$ at $t=1$ is _________ (up to $1$ decimal place). ($\text{ln}$ denotes the logarithm base $e$)
Arjun
asked
in
Transform Theory
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
numerical-answers
transform-theory
fourier-transform
0
votes
0
answers
25
GATE Electrical 2018 | Question: 45
The capacitance of an air-filled parallel-plate capacitor is $60$ pF. When a dielectric slab whose thickness is half the distance between the plates, is placed on one of the plates covering it entirely, the capacitance becomes $86$ pF. Neglecting the fringing effects, the relative permittivity of the dielectric is ___________ (up to $2$ decimal places)
Arjun
asked
in
new
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
numerical-answers
0
votes
0
answers
26
GATE Electrical 2018 | Question: 41
In the circuit shown in the figure, the bipolar junction transistor (BJT) has a current gain $\beta = 100$. The base-emitter voltage drop is a constant, $V_{BE}=0.7 \: V$. The value of the Thevenin equivalent resistance $R_{Th}$ (in $\Omega$) as shown in the figure is _________ (up to $2$ decimal places)
Arjun
asked
in
new
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
numerical-answers
0
votes
0
answers
27
GATE Electrical 2018 | Question: 39
The signal energy of he continuous-time signal $x(t)=[(t-1)u(t-1)]-[(t-2)u(t-2)]-[(t-3)u(t-3)]+[(t-4)u(t-4)]$ is $11/3$ $7/3$ $1/3$ $5/3$
Arjun
asked
in
new
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
0
votes
0
answers
28
GATE Electrical 2018 | Question: 37
Digital input signals A, B, C with A as the MSB and C as the LSB are used to realize the Boolean function $F=m_0+m_2+m_3+m_5+m_7$, where $m_i$ denotes the $i$ th minterm. In addition, $F$ has a don't care for $m_1$. The simplified expression for $F$ is given by ... $\overline{A}+C$ $\overline{C}+A$ $\overline{A} C + BC + A \overline{C}$
Arjun
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in
Analog and Digital Electronics
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
analog-and-digital-electronics
boolean-algebra
0
votes
0
answers
29
GATE Electrical 2018 | Question: 36
Which one of the following statements is true about the digital circuit shown in the figure It can be used for dividing input frequency by $3$ It can be used for dividing input frequency by $5$ It can be used for dividing input frequency by $7$ It cannot be reliably used as a frequency divider due to disjoint internal cycles
Arjun
asked
in
Analog and Digital Electronics
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
analog-and-digital-electronics
sequential-circuit
counters
0
votes
0
answers
30
GATE Electrical 2018 | Question: 35
If $C$ is a circle $\mid z \mid=4$ and $f(z)=\frac{z^2}{(z^2-3z+2)^2}$, then $\underset{C}{\oint} f(z) dz$ is $1$ $0$ $-1$ $-2$
Arjun
asked
in
Complex Variables
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
complex-variables
cauchys-integral-theorem
0
votes
0
answers
31
GATE Electrical 2018 | Question: 34
The number of roots of the polynomial, $s^7+s^6+7s^5+14s^4+31s^3+73s^2+25s+200$, in the open left half of the complex plane is $3$ $4$ $5$ $6$
Arjun
asked
in
Complex Variables
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
complex-variables
complex-valued-functions
0
votes
0
answers
32
GATE Electrical 2018 | Question: 33
Consider a system governed by the following equations $ \frac{dx_1(t)}{dt} = x_2(t)-x_1(t) \\ \frac{dx_2(t)}{dt} = x_1(t)-x_2(t)$ The initial conditions are such that $x_1(0)<x_2(0)< \infty$. Let $x_{1f}= \underset{t \to \infty}{\lim} x_1(t)$ ... $x_{1f}<x_{2f}<\infty$ $x_{2f}<x_{1f}<\infty$ $x_{1f}<=_{2f}<\infty$ $x_{1f}=x_{2f}=\infty$
Arjun
asked
in
Differential Equations
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
differential-equations
0
votes
0
answers
33
GATE Electrical 2018 | Question: 38
Consider the two continuous-time signals defined below: ... than the energy of $x_1[n]$ $x_1[n]$ and $x_2[n]$ have equal energies Neither $x_1[n]$ nor $x_2[n]$ is a finite-energy signal
Arjun
asked
in
new
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
0
votes
0
answers
34
GATE Electrical 2018 | Question: 32
The equivalent impedance $Z_{eq}$ for the infinite ladder circuit shown in the figure is $\text{j} 12 \: \Omega$ $\text{-j} 12 \: \Omega$ $\text{j} 13 \: \Omega$ $13 \: \Omega$
Arjun
asked
in
new
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
0
votes
0
answers
35
GATE Electrical 2018 | Question: 25
Consider a unity feedback system with forward transfer function given by $G(s) = \frac{1}{(s+1)(s+2)}$ The steady-state error in the output of the system for a unit-step input is _______ (up to $2$ decimal places).
Arjun
asked
in
new
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
numerical-answers
0
votes
0
answers
36
GATE Electrical 2018 | Question: 24
A separately excited dc motor has an armature resistance $R_a =0.05 \: \Omega$. The field excitation is kept constant. At an armature voltage of $100$ V, the motor produces a torque of $500$ Nm at zero speed. Neglecting all mechanical losses, the no- ... motor (in $\text{radian /s}$) for an armature voltage of $150$ V is ____________ (up to $2$ decimal places).
Arjun
asked
in
new
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
numerical-answers
0
votes
0
answers
37
GATE Electrical 2018 | Question: 31
A DC voltage source is connected to a series $L-C$ circuit by turning on the switch S at time $t=0$ as shown in the figure. Assume $i(0)=0$, $v(0)=0$. Which one of the following circular loci represents the plot of $i(t)$ versus $v(t)$?
Arjun
asked
in
new
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
0
votes
0
answers
38
GATE Electrical 2018 | Question: 30
The per-unit power output of a salient-pole generator which is connected to an infinite bus, is given by the expression, $P=1.4 \sin \delta + 0.15 \sin 2 \delta$, where $\delta$ is the load angle. Newton-Raphson method is used to calculate the value of $\delta$ ... at the end of the first iteration is $15^{\circ}$ $28.28^{\circ}$ $28.74^{\circ}$ $31.20^{\circ}$
Arjun
asked
in
new
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
0
votes
0
answers
39
GATE Electrical 2018 | Question: 29
Consider the two bus power system network with given loads as shown in the figure. All the values shown in the figure are in per unit. The reactive power supplied by generator $G_1$ and $G_2$ are $Q_{G1}$ and $Q_{G2}$ respectively. The per unit values of $Q_{G1}$, $Q_{G2}$, and line ... $6.34, \: 11.34, \: 2.68$ $5.00, \: 11.34, \: 1.34$
Arjun
asked
in
new
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
0
votes
0
answers
40
GATE Electrical 2018 | Question: 28
The positive, negative and zero sequence impedances of a three phase generator are $Z_1, Z_2$ and $Z_0$ respectively. For a line-to-line fault with fault impedance $Z_f$, the fault current is $I_{f1}= kI_f$, where $I_f$ is the fault current with zero fault impedance. The relation ... $Z_f=\frac{(Z_1+Z_2)k}{1-k} \\$ $Z_f=\frac{(Z_1+Z_2)k}{1+k}$
Arjun
asked
in
new
Feb 19, 2018
by
Arjun
9.3k
points
gate2018-ee
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