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GATE2020-ME-2-GA-1
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

asked Mar 1 in General Aptitude by jothee (2.7k points)

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GATE2020-ME-2-GA-2
People were prohibited_____ their vehicles near the entrance of the main administrative building. to park from parking parking to have parked

asked Mar 1 in General Aptitude by jothee (2.7k points)

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GATE2020-ME-2-GA-3
Select the word that fits the analogy: Do:Undo :: Trust: _____ Entrust Intrust Distrust Untrust

asked Mar 1 in General Aptitude by jothee (2.7k points)

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GATE2020-ME-2-GA-4
Stock markets _____at the news of the coup. poised plunged plugged probed

asked Mar 1 in General Aptitude by jothee (2.7k points)

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GATE2020-ME-2-GA-5
If $P,Q,R,S$ are four individuals, how many teams of size exceeding one can be formed, with $Q$ as a member? $5$ $6$ $7$ $8$

asked Mar 1 in General Aptitude by jothee (2.7k points)

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GATE2020-ME-2-GA-6
Non-performing 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. $45$ $90$ $135$ $180$

asked Mar 1 in General Aptitude by jothee (2.7k points)

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GATE2020-ME-2-GA-7
Select the next element of the series: Z, WV, RQP,___ LKJI JIHG KJIH NMLK

asked Mar 1 in General Aptitude by jothee (2.7k points)

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GATE2020-ME-2-GA-8
In four-digit integer numbers from $1001$ to $9999$, the digit group “$37$” (in the same sequence) appears______times. $270$ $279$ $280$ $299$

asked Mar 1 in General Aptitude by jothee (2.7k points)

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GATE2020-ME-2-GA-9
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. $\sqrt{2}$ $\sqrt{3}$ $2$ $3$

asked Mar 1 in General Aptitude by jothee (2.7k points)

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GATE2020-ME-2-GA-10
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_______. $32.7$ $33.7$ $34.1$ $35.1$

asked Mar 1 in General Aptitude by jothee (2.7k points)

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GATE2020-ME-2-1
$ax^{3}+bx^{2}+cx+d$ 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

asked Mar 1 in Others by jothee (2.7k points)

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GATE2020-ME-2-2
Which of the following is true for all possible non-zero choices of integers $m,n;m\neq n$, or all possible non-zero choices of real numbers $p,q;p\neq q$, as applicable? $\frac{1}{\pi}\int_{0}^{\pi}\sin m\theta \sin n\theta d\theta = 0$ ... $\displaystyle \lim_{\alpha\rightarrow \infty }\frac{1}{2\alpha }\int_{-\alpha }^{\alpha }\sin p\theta \sin q\theta d\theta = 0$

asked Mar 1 in Others by jothee (2.7k points)

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GATE2020-ME-2-3
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 non-zero 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

asked Mar 1 in Others by jothee (2.7k points)

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GATE2020-ME-2-4
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 z-transform of $x[n-k],k> 0$ is $\dfrac{z^{-k}}{1-\frac{1}{2}z^{-1}}$ with region of convergence being $\mid z \mid < 2$ $\mid z \mid > 2$ $\mid z \mid < \frac{1}{2}$ $\mid z \mid > \frac{1}{2}$

asked Mar 1 in Others by jothee (2.7k points)

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GATE2020-ME-2-5
The value of the following complex integral, with $C$ representing the unit circle centered at origin in the counterclockwise sense, is: $\displaystyle{}\int_{C}\frac{z^{2}+1}{z^{2}-2z}dz$ $8\pi i$ $-8\pi i$ $-\pi i$ $\pi i$

asked Mar 1 in Others by jothee (2.7k points)

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GATE2020-ME-2-6
$x_{R}$ and $x_{A}$ are, respectively, the rms and average values of $x(t)= x(t-T)$, 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? $y_{A}= kx_{A};y_{R}= kx_{R}$ $y_{A}= kx_{A};y_{R}\neq kx_{R}$ $y_{A}\neq kx_{A};y_{R}= kx_{R}$ $y_{A}\neq kx_{A};y_{R}\neq kx_{R}$

asked Mar 1 in Others by jothee (2.7k points)

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GATE2020-ME-2-7
A three-phase 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

asked Mar 1 in Others by jothee (2.7k points)

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GATE2020-ME-2-8
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 phase-to-ground fault on the transmission line is closest to: $1.00$ $3.61$ $5.00$ $6.25$

asked Mar 1 in Others by jothee (2.7k points)

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GATE2020-ME-2-9
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

asked Mar 1 in Others by jothee (2.7k points)

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GATE2020-ME-2-10
Consider a linear time-invariant 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 $+2j, -2j$ $+2,-2$ $+4,-4$ $+4j,-4j$

asked Mar 1 in Others by jothee (2.7k points)

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GATE2020-ME-2-11
A single-phase, full-bridge 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: $50\: Hz, 0\: Hz$ $50 Hz, 100\: Hz$ $50\: Hz, 150\: Hz$ $150\: Hz, 250\: Hz$

asked Mar 1 in Others by jothee (2.7k points)

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GATE2020-ME-2-12
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 $180^{\circ}$

asked Mar 1 in Others by jothee (2.7k points)

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GATE2020-ME-2-13
Which of the options is an equivalent representation of the signal flow graph shown here?

asked Mar 1 in Others by jothee (2.7k points)

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GATE2020-ME-2-14
A common-source 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: $-2.44$ $-1.22$ $1.22$ $2.44$

asked Mar 1 in Others by jothee (2.7k points)

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GATE2020-ME-2-15
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? $1,1,0,0,0,0,1,1,0,1,0,0$ $0,1,0,0,0,0,0,1,0,1,0,0$ $0,1,0,0,0,0,0,1,0,1,1,0$ $0,1,0,0,0,0,0,0,1,0,0,0$

asked Mar 1 in Others by jothee (2.7k points)

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GATE2020-ME-2-16
Consider the initial value problem below. The value of $y$ at $x= \ln 2$, (rounded off to $3$ decimal places) is _______. $\frac{dy}{dx}= 2x-y,\:\:\:\:y(0)= 1$

asked Mar 1 in Others by jothee (2.7k points)

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GATE2020-ME-2-17
A three-phase $,50\: Hz,\: 4$-pole induction motor runs at no-load 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______.

asked Mar 1 in Others by jothee (2.7k points)

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GATE2020-ME-2-18
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 ________ $A.$

asked Mar 1 in Others by jothee (2.7k points)

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GATE2020-ME-2-19
The Thevenin equivalent voltage, $V_{TH}$, in $V$ (rounded off to $2$ decimal places) of the network shown below, is_______.

asked Mar 1 in Others by jothee (2.7k points)

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GATE2020-ME-2-20
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 _______.

asked Mar 1 in Others by jothee (2.7k points)

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GATE2020-ME-2-21
A single-phase, $4\:kVA, 200\: V/100\: V, 50\:Hz$ transformer with laminated CRGO steel core has rated no-load loss of $450\: W.$ When the high-voltage winding is excited with $160\: V,40\: Hz$ ... from a $100\: V, 25\: Hz$ sinusoidal ac source, the no-load losses will be _______ $W$ (rounded off to $2$ decimal places).

asked Mar 1 in Others by jothee (2.7k points)

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GATE2020-ME-2-22
A single-phase inverter is fed from a $100\: V$ dc source and is controlled using a quasi-square 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).

asked Mar 1 in Others by jothee (2.7k points)

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GATE2020-ME-2-23
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).

asked Mar 1 in Others by jothee (2.7k points)

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GATE2020-ME-2-24
Consider a negative unity feedback system with forward path transfer function $G(s)= \dfrac{K}{(s+a)(s-b)(s+c)}$, 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_______.

asked Mar 1 in Others by jothee (2.7k points)

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GATE2020-ME-2-25
The cross-section of a metal-oxide-semiconductor 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_______.

asked Mar 1 in Others by jothee (2.7k points)

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GATE2020-ME-2-26
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 $\frac{1}{4}$

asked Mar 1 in Others by jothee (2.7k points)

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GATE2020-ME-2-27
The vector function expressed by $F= a_{x}(5y-k_{1}z)+a_{y}(3z+k_{2}x)+a_{z}(k_{3}y-4x)$ 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: $k_{1}= 3,k_{2}= 3,k_{3}= 7$ $k_{1}= 3,k_{2}= 8,k_{3}= 5$ $k_{1}= 4,k_{2}= 5,k_{3}= 3$ $k_{1}= 0,k_{2}= 0,k_{3}= 0$

asked Mar 1 in Others by jothee (2.7k points)

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GATE2020-ME-2-28
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 no-load 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: $1200$ $1000$ $1220$ $900$

asked Mar 1 in Others by jothee (2.7k points)

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GATE2020-ME-2-29
Two buses, $i$ and $j$, are connected with a transmission line of admittance $Y$ ...

asked Mar 1 in Others by jothee (2.7k points)

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GATE2020-ME-2-30
Consider the diode circuit shownbelow.The diode, D, obeys the current-voltage 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 $R_{2}$

asked Mar 1 in Others by jothee (2.7k points)

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