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GATE2020ME2GA1
This book, including all its chapters,______interesting. The students as well as the instructor_____ in agreement about it. is, was are, are is, are were, was
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General Aptitude
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GATE2020ME2GA2
People were prohibited_____ their vehicles near the entrance of the main administrative building. to park from parking parking to have parked
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General Aptitude
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GATE2020ME2GA3
Select the word that fits the analogy: Do:Undo :: Trust: _____ Entrust Intrust Distrust Untrust
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GATE2020ME2GA4
Stock markets _____at the news of the coup. poised plunged plugged probed
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Mar 1
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General Aptitude
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GATE2020ME2GA5
If $P,Q,R,S$ are four individuals, how many teams of size exceeding one can be formed, with $Q$ as a member? $5$ $6$ $7$ $8$
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Mar 1
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General Aptitude
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GATE2020ME2GA6
Nonperforming Assets (NPAs) of a bank in India is defined as an asset, which remains unpaid by a borrower for a certain period of time in terms interest, principal, or both. Reserve Bank of India (RBI) has changed the definition of NPA thrice during ... the above paragraph, the holding period of loans in $2004$ after the third revision was________days. $45$ $90$ $135$ $180$
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Mar 1
in
General Aptitude
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jothee
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2.7k
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gate2020me2
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GATE2020ME2GA7
Select the next element of the series: Z, WV, RQP,___ LKJI JIHG KJIH NMLK
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Mar 1
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General Aptitude
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2.7k
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gate2020me2
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GATE2020ME2GA8
In fourdigit integer numbers from $1001$ to $9999$, the digit group “$37$” (in the same sequence) appears______times. $270$ $279$ $280$ $299$
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Mar 1
in
General Aptitude
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GATE2020ME2GA9
Given a semicircle with $O$ as the centre, as shown in the figure, the ratio $\dfrac{\overline{AC}+\overline{CB}}{\overline{AB}}$ is ________ where $\overline{AC},\overline{CB}$ and $\overline{AB}$ are chords. $\sqrt{2}$ $\sqrt{3}$ $2$ $3$
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Mar 1
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General Aptitude
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GATE2020ME2GA10
The revenue and expenditure of four different companies P, Q, R and S in $2015$ are shown in the figure. If the revenue of company Q in $2015$ was $20\%$ more than that in $2014$, and company Q had earned a profit of $10\%$ on the expenditure in $2014$, then its expenditure (in million rupees) in $2014$ was_______. $32.7$ $33.7$ $34.1$ $35.1$
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Mar 1
in
General Aptitude
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2.7k
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gate2020me2
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GATE2020ME21
$ax^{3}+bx^{2}+cx+d$ is a polynomial on real $x$ over real coefficients $a,b,c,d$ wherein $a\neq 0$. Which of the following statements is true? $d$ can be chosen to ensure that $x= 0$ is a root for any given set $a,b,c$ No choice of coefficients can make all roots identical $a,b,c,d$ can be chosen to ensure that all roots are complex $c$ alone cannot ensure that all roots are real
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GATE2020ME22
Which of the following is true for all possible nonzero choices of integers $m,n;m\neq n$, or all possible nonzero choices of real numbers $p,q;p\neq q$, as applicable? $\frac{1}{\pi}\int_{0}^{\pi}\sin m\theta \sin n\theta d\theta = 0$ ... $\displaystyle \lim_{\alpha\rightarrow \infty }\frac{1}{2\alpha }\int_{\alpha }^{\alpha }\sin p\theta \sin q\theta d\theta = 0$
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GATE2020ME23
Which of the following statements is true about the two sided Laplace transform? It exists for every signal that may or may not have a Fourier transform It has no poles for any bounded signal that is nonzero only inside a finite time interval The ... If a signal can be expressed as a weighted sum of shifted one sided exponentials, then its Laplace Transform will have no poles
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GATE2020ME24
Consider a signal $x[n]=\left(\frac{1}{2}\right)^{n} 1[n]$, where $1[n]= 0$ if $n< 0$, and $1[n]= 1$ if $n\geq0$. The ztransform of $x[nk],k> 0$ is $\dfrac{z^{k}}{1\frac{1}{2}z^{1}}$ with region of convergence being $\mid z \mid < 2$ $\mid z \mid > 2$ $\mid z \mid < \frac{1}{2}$ $\mid z \mid > \frac{1}{2}$
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GATE2020ME25
The value of the following complex integral, with $C$ representing the unit circle centered at origin in the counterclockwise sense, is: $\displaystyle{}\int_{C}\frac{z^{2}+1}{z^{2}2z}dz$ $8\pi i$ $8\pi i$ $\pi i$ $\pi i$
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GATE2020ME26
$x_{R}$ and $x_{A}$ are, respectively, the rms and average values of $x(t)= x(tT)$, and similarly, $y_{R}$ and $y_{A}$ are, respectively,the rms and average values of $y(t)= kx(t). k,\:T$ are independent of $t$. Which of the following is true? $y_{A}= kx_{A};y_{R}= kx_{R}$ $y_{A}= kx_{A};y_{R}\neq kx_{R}$ $y_{A}\neq kx_{A};y_{R}= kx_{R}$ $y_{A}\neq kx_{A};y_{R}\neq kx_{R}$
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Mar 1
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GATE2020ME27
A threephase cylindrical rotor synchronous generator has a synchronous reactance $X_{s}$ and a negligible armature resistance. The magnitude of per phase terminal voltage is $V_{A}$ the magnitude of per phase induced emf is $E_{A}.$ Considering the following two statements, $P$ and $Q,$ ... true $P$ is true and $Q$ is false $P$ is false and $Q$ is false $P$ is true and $Q$ is true
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Mar 1
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GATE2020ME28
A lossless transmission line with $0.2$ pu reactance per phase uniformly distributed along the length of the line, connecting a generator bus to a load bus, is protected up to $80\%$ of its length by a distance relay placed at the generator bus. The generator terminal voltage ... a solid three phasetoground fault on the transmission line is closest to: $1.00$ $3.61$ $5.00$ $6.25$
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Mar 1
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GATE2020ME29
Out of the following options, the most relevant information needed to specify the real power $(P)$ at the $PV$ buses in a load flow analysis is solution of economic load dispatch rated power output of the generator rated voltage of the generator base power of the generator
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Mar 1
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GATE2020ME210
Consider a linear timeinvariant system whose input $r(t)$ and output $y(t)$ are related by the following differential equation: $\frac{d^{2}y(t)}{dt^{2}}+4y(t)=6r(t)$ The poles of this system are at $+2j, 2j$ $+2,2$ $+4,4$ $+4j,4j$
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GATE2020ME211
A singlephase, fullbridge diode rectifier fed from a $230\: V, 50\: Hz$ sinusoidal source supplies a series combination of finite resistance$, R,$ and a very large inductance, $L.$ The two most dominant frequency components in the source current are: $50\: Hz, 0\: Hz$ $50 Hz, 100\: Hz$ $50\: Hz, 150\: Hz$ $150\: Hz, 250\: Hz$
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Mar 1
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GATE2020ME212
Thyristor $T_{1}$ is triggered at an angle $\alpha$ (in degree), and $T_{2}$ at an angle $180^{\circ}+\alpha$, in each cycle of the sinusoidal input voltage. Assume both thyristors to be ideal. To control the load power over the range $0$ to $2\:kW,$ the minimum range of variation ... $0^{\circ}$ to $120^{\circ}$ $60^{\circ}$ to $120^{\circ}$ $60^{\circ}$ to $180^{\circ}$
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Mar 1
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GATE2020ME213
Which of the options is an equivalent representation of the signal flow graph shown here?
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GATE2020ME214
A commonsource amplifier with a drain resistance, $R_{D}= 4.7\:k\Omega$, is powered using a $10\: V$ power supply. Assuming that the transconductance $,g_{m},$ is $520 \:\mu A/V,$ the voltage gain of the amplifier is closest to: $2.44$ $1.22$ $1.22$ $2.44$
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Mar 1
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GATE2020ME215
A sequence detector is designed to detect precisely $3$ digital inputs, with overlapping sequences detectable, For the sequence $(1,0,1)$ and input data $(1,1,0,1,0,0,1,1,0,1,0,1,1,0)$. what is the output of this detector? $1,1,0,0,0,0,1,1,0,1,0,0$ $0,1,0,0,0,0,0,1,0,1,0,0$ $0,1,0,0,0,0,0,1,0,1,1,0$ $0,1,0,0,0,0,0,0,1,0,0,0$
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GATE2020ME216
Consider the initial value problem below. The value of $y$ at $x= \ln 2$, (rounded off to $3$ decimal places) is _______. $\frac{dy}{dx}= 2xy,\:\:\:\:y(0)= 1$
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GATE2020ME217
A threephase $,50\: Hz,\: 4$pole induction motor runs at noload with a slip of $1\%.$ With full load, the slip increases to $5\%,$ The $\%$ speed regulation of the motor (rounded off to $2$ decimal places) is______.
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GATE2020ME218
Currents through ammeters $A2$ and $A3$ in the figure are $1\angle 10^{\circ}$ and $1\angle 70^{\circ}$, respectively. The reading of the ammeter $A1$ (rounded off to $3$ decimal places) is ________ $A.$
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GATE2020ME219
The Thevenin equivalent voltage, $V_{TH}$, in $V$ (rounded off to $2$ decimal places) of the network shown below, is_______.
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GATE2020ME220
A double pulse measurement for an inductively loaded circuit controlled by the IGBT switch is carried out to evaluate the reverse recovery characteristics of the diode$, D,$ ... your choice by entering $1,2,3$ or $4$) at which the IGBT experiences the highest current stress is _______.
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Mar 1
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GATE2020ME221
A singlephase, $4\:kVA, 200\: V/100\: V, 50\:Hz$ transformer with laminated CRGO steel core has rated noload loss of $450\: W.$ When the highvoltage winding is excited with $160\: V,40\: Hz$ ... from a $100\: V, 25\: Hz$ sinusoidal ac source, the noload losses will be _______ $W$ (rounded off to $2$ decimal places).
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GATE2020ME222
A singlephase inverter is fed from a $100\: V$ dc source and is controlled using a quasisquare wave modulation scheme to produce an output waveform, $v(t)$, as shown. The angle $\sigma$ is adjusted to entirely eliminate the $3^{rd}$ harmonic ... $5^{th}$ harmonic component as a percentage of the magnitude of the fundamental component is _____ (rounded off to $2$ decimal places).
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GATE2020ME223
A single $50\: Hz$ synchronous generator on droop control was delivering $100\; MW$ power to a system. Due to increase in load, generator power had to be increased by $10\: MW,$ as a result of which, system frequency dropped to $49.75\: Hz.$ Further ... $49.25\: Hz.$ At this condition, the power in $MW$ supplied by the generator is_______ (rounded off to $2$ decimal places).
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GATE2020ME224
Consider a negative unity feedback system with forward path transfer function $G(s)= \dfrac{K}{(s+a)(sb)(s+c)}$, where $K,a,b,c$ are positive real numbers. For a Nyquist path enclosing the entire imaginary axis and right half of the $s$plane in the clockwise ... . Then, the number of poles of $\dfrac{G(s)}{1+G(s)}$ lying in the open right half of the $s$plane is_______.
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GATE2020ME225
The crosssection of a metaloxidesemiconductor structure is shown schematically. Starting from an uncharged condition, a bias of $+3$ V is applied to the gate contact with respect to the body contact. The charge inside the silicon dioxide layer is ... application of bias, expressed as a multiple of $Q$ (absolute value in Coulombs, rounded off to the nearest integer)is_______.
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GATE2020ME226
For real numbers, $x$ and $y$, with $y= 3x^{2}+3x+1$, the maximum and minimum value of $y$ for $x\in [2,0]$ are respectively,_____. $7$ and $\frac{1}{4}$ $7$ and $1$ $2$ and $\frac{1}{2}$ $1$ and $\frac{1}{4}$
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GATE2020ME227
The vector function expressed by $F= a_{x}(5yk_{1}z)+a_{y}(3z+k_{2}x)+a_{z}(k_{3}y4x)$ represents a conservative field, where $a_{x},a_{y},a_{z}$ are unit vectors along $x,y$ and $z$ directions, respectively. The values of constants $k_{1},k_{2},k_{3}$ are given by: $k_{1}= 3,k_{2}= 3,k_{3}= 7$ $k_{1}= 3,k_{2}= 8,k_{3}= 5$ $k_{1}= 4,k_{2}= 5,k_{3}= 3$ $k_{1}= 0,k_{2}= 0,k_{3}= 0$
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GATE2020ME228
A $250\: V$ dc shunt motor has an armature resistance of $0.2\:\Omega$ and afield resistance of $100\:\Omega$. When the motor is operated on noload voltage, it draws an armature current $5\: A$ and runs at $1200\: rpm.$ When a load is coupled ... under all operating conditions. The speed of the motor, in rpm, under this loaded condition, is closest to: $1200$ $1000$ $1220$ $900$
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GATE2020ME229
Two buses, $i$ and $j$, are connected with a transmission line of admittance $Y$ ...
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GATE2020ME230
Consider the diode circuit shownbelow.The diode, D, obeys the currentvoltage characteristic$I_{D}= I_{S}\left(\exp\left( \frac{V_{D}}{nV_{T}}\right)1\right),$ where $n> 1, V_{T}> 0,V_{D}$ is the voltage across the diode and $I_{D}$ is the current through it. The ... $R_{1}$ and small $R_{2}$ Large $R_{1}$ and small $R_{2}$ Small $R_{1}$ and large $R_{2}$
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