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5 5 votes
2 answers 2 answers
GATE IN 2019 | GA | Question: 6
Since the last one year after a $125$ basis point reduction in repo rate by the Reserve Bank Of India, banking institutions have been making a demand to reduce interest r...
6 6 votes
1 answers 1 answer
GATE IN 2019 | GA | Question: 7
In a country of $1400$ million population, $70\%$ own mobile phones. Among the mobile phone owners, only $294$ million access the Internet. Among these Internet users, on...
2 2 votes
1 answers 1 answer
GATE IN 2019 | GA | Question: 8
The nomenclature of Hindustani music has changed over the countries. Since the medieval period, dhrupad styles were identified as baanis. Terms like gayaki and baaj were ...
2 2 votes
2 answers 2 answers
GATE IN 2019 | GA | Question: 9
two trains started at $7$AM from the same point. The first train travelled north at a speed of $80$km/h and the second train travelled south at a speed of $100$km/h. The ...
3 3 votes
10 answers 10 answers
GATE IN 2019 | GA | Question: 10
“I read somewhere that in ancient times the prestige of a kingdom depended upon the number of taxes that it was able to levy on its people. It was very much like the pres...
1 1 vote
1 1 answer
GATE2019 IN: 1
$\overrightarrow{a}$,$\overrightarrow{b}$,$\overrightarrow{c}$ are three orthogonal vectors. Given that $\overrightarrow{a}$ = ${\widehat{i}}$ + 2${\widehat{j}}$ + 5${\wi...
0 0 votes
1 1 answer
GATE2019 IN: 2
The vector function $\overrightarrow{A}$ is given by $\overrightarrow{A}$ = $\overrightarrow{\bigtriangledown}$u , where u(x, y) is a scalar function. Then |$\overrightar...
0 0 votes
0 0 answers
GATE2019 IN: 3
A box has 8 red balls and 8 green balls. Two balls are drawn randomly in succession from the box without replacement. The probability that the first ball drawn is red and...
0 0 votes
0 0 answers
GATE2019 IN: 4
In the Figures (a) and (b) shown below, the transformers are identical and ideal ,except that the transformer in Figure (b) is centre -tapped. Asssuming ideal diodes, the...
0 0 votes
0 0 answers
GATE2019 IN: 5
The output y(t) of a system is related to its input x(t) asy(t) = ${\displaystyle \int^t_0}$x(t – 2)dt, where, x(t) =0 and y(t) = 0 for t $\le$ 0. The transfer function o...
0 0 votes
0 0 answers
GATE2019 IN: 6
The input x[n] and output y[n] of a discrete-time system are related as y[n] = $\alpha$y[n – 1] + x[n]. The condition of $\alpha$ for which the system is Bounded-Input B...
0 0 votes
0 0 answers
GATE2019 IN: 7
In a cascade control system, the closed loop transfer function of the inner loop may be assumed to have a single time-constant $\tau$${_1}$. Similarly, the closed loop tr...
0 0 votes
0 0 answers
GATE2019 IN: 8
The loop-gain function L(s) of a control system with unity feedback is given to be L(s) = $\frac{k}{(s + 1)(s + 2)(s + 3)}$, where k >0. If the gain cross-over frequency...
0 0 votes
0 0 answers
GATE2019 IN: 9
If each of the values of inductance, capacitance and resistance of a series LCR circuit are doubled, the Q-factor of the circuit wouldreduce by a factor $\sqrt{2}$reduce ...
0 0 votes
0 0 answers
GATE2019 IN: 10
In the circuit shown below, the input voltage V${_i}{_n}$ is positive. The current (I) – voltage(V) characteristics of the diode can be assumed to be I = I${_0}$e$^{v/vr}...
0 0 votes
0 0 answers
GATE2019 IN: 11
The correct biasing conditions for typical operation of light emitting diodes, photodiodes, Zener diodes are, respectivelyforward bias, reverse bias, reverse biasreverse ...
0 0 votes
0 0 answers
GATE2019 IN: 12
The circuit shown in the figure below uses ideal positive edge-triggered synchronous J-K flip flops with outputs X and Y. If the initial state of the output is X =0 and Y...
0 0 votes
0 0 answers
GATE2019 IN: 13
Thermocouples measure temperature based on Photoelectric effectSeebeck effectHall effectThermal expansion
0 0 votes
0 0 answers
GATE2019 IN: 14
Four strain gauges in a Wheatstone bridge configuration are connected to an instrumentation amplifier as shown in the figure. From the choices given below, the preferred ...
0 0 votes
0 0 answers
GATE2019 IN: 15
In a single-mode optical fiber, the zero-dispersion wavelength refers to the wavelength at which the material dispersion is zero.waveguide dispersion is zero.sum of mater...
0 0 votes
0 0 answers
GATE2019 IN: 16
A 3 x 3 matrix has eigenvalues 1, 2 and 5. The determinant of the matrix is $\_\_\_\_$.
0 0 votes
0 0 answers
GATE2019 IN: 17
In the circuit shown below, maximum power is transferred to the load resistance R${_L}$, when R${_L}$ = $\_\_\_\_$ $\Omega$.
0 0 votes
0 0 answers
GATE2019 IN: 18
Consider a circuit comprising only resistors with constant resistance and ideal independent DC voltage sources. If all the resistances are scaled down by a factor 10, an...
0 0 votes
0 0 answers
GATE2019 IN: 19
In the circuit shown below, initially the switch S${_1}$ is open, then capacitor C1 has a charge of 6 coulomb, and the capacitor C2 has 0 coulomb. After s${_1}$ is closed...
0 0 votes
0 0 answers
GATE2019 IN: 20
An 8-bit weighted resistor digital-to-analog converter(DAC) has the smallest resistance of 500 $\Omega$. The largest resistance has a value $\_\_\_\_$ k$\Omega$.
0 0 votes
0 0 answers
GATE2019 IN: 21
The total number of Boolean functions with distinct truth-tables that can be defined over 3 Boolean variables is $\_\_\_\_$.
0 0 votes
0 0 answers
GATE2019 IN: 22
The figure below shows the i $^{th}$ full-adder block of a binary adder circuit. C${_i}$ is the input carry and C${_i}{_+}{_1}$ is the output carry of the circuit. Assume...
0 0 votes
0 0 answers
GATE2019 IN: 23
The resistance of a resistor is measured using a voltmeter and an ammeter. The voltage measurements have a mean value of 1 V and standard deviation of 0.12 V while curren...
0 0 votes
0 0 answers
GATE2019 IN: 24
A pitot-static tube is used to estimate the velocity of an incompressible fluid of density 1 kg/m$^{3}$. If the pressure differences measured by the tube is 200 N/m$^{2}$...
0 0 votes
0 0 answers
GATE2019 IN: 25
A signal cos(2$\pi$f${_m}$t) modulates a carrier cos(2$\pi$f${_c}$t) using the double -sideband-with-carrier (DSDWC) scheme to yield a modulated signal cos(2$\pi$f${_c}$t...
0 0 votes
1 1 answer
GATE2019 IN: 26
The curve y = f(x) is such that the tangent to the curve at every point (x,y) has a y-axis intercept c, given by c = -y. Then,f(x) is proportional tox$^{-1}$x$^{2}$x$^{3}...
0 0 votes
0 0 answers
GATE2019 IN: 27
The function p(x) is given by p(x) = A/x$^\mu$ where A and $\mu$ are constants with $\mu$ 1 and 1 $\le$ x <$\infty$ and p(x) = 0 for -$\infty$ < x <1. For p(x) to be a ...
0 0 votes
0 0 answers
GATE2019 IN: 28
The dynamics of the state $\begin{bmatrix}x{_1} \\x{_2}\end{bmatrix}$ of a sytem is governed by the differential equation $\begin{bmatrix}x{_1} \\x{_2}\end{bmatrix}$ = ...
0 0 votes
0 0 answers
GATE2019 IN: 29
A complex function f(z) = u(x,y) + i v(x,y) and its complex conjugate f*(z) = u(x,y) – i v(x,y) are both analytic in the entire complex plane, where z = x + i y and i = $...
0 0 votes
0 0 answers
GATE2019 IN: 30
In a control system with unity gain feedback, the plant has the transfer function P(s) = 3/s. Assuming that a controller of the form C(s) = K/(s + p) is used, where K is ...
0 0 votes
0 0 answers
GATE2019 IN: 31
The forward path transfer function L(s) of the control system shown in Figure(a) has the asymptotic Bode plot shown in Figure (b). If the disturbance d(t) is given by d(t...
0 0 votes
0 0 answers
GATE2019 IN: 32
In the control system shown in the figure below, a reference signal $r(t)=t^2$ is applied at time $t=0$. The control system employs a $PID$ controller $C(s)=K_p+K_1/s+K_D...
0 0 votes
0 0 answers
GATE2019 IN: 33
A voltage amplifier is constructed using enhancement mode $MOSFETs$ labeled $M_1,M_2,M_3$ and $M_4$ in the figure below. $M_1,M_2$ and $M_4$ are n-channel MOSFETs and $M_...
0 0 votes
0 0 answers
GATE2019 IN: 34
In the circuit shown below, assume that the comparators are ideal and all components have zero propagation delay. In one period of the input signal $V_{in}=6 \sin(\omega ...
0 0 votes
0 0 answers
GATE2019 IN: 35
$X=X_1X_0 \;and\;Y=Y_1Y_0$ are 2-bit binary numbers. The Boolean function $S$ that satisfies the condition “If $X>Y$, then $S=1”$, in its minimized form, is$X_1Y_1+X_0Y_0...
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