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GATE ECE 2017 Set 1

Exam Held on Thu Jan 01 1970 00:00:00 GMT+0000 (Coordinated Universal Time)
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GATE ECE

For the DC analysis of the Common-Emitter amplifier shown, neglect the base curr...
In the figure shown, the npn transistor acts as a switch. <img class="question-i...
The Miller effect in the context of a Common Emitter amplifier explains
For the operational amplifier circuit shown, the output saturation voltages are ...
The amplifier circuit shown in the figure is implemented using a compensated ope...
In a digital communication system, the overall pulse shape p(t) at the receiver ...
Which one of the following statements about differential pulse code modulation (...
Let $$X(t)$$ be a wide sense stationary random process with the power spectral d...
In binary frequency shift keying (FSK), the given signal wave forms are <br> $$...
Let $$\left( {{X_1},\,{X_2}} \right)$$ be independent random variables, $${X_1}$...
The open loop transfer function $$$\mathrm G\left(\mathrm s\right)\;=\;\frac{\le...
Which one of the following options correctly describes the locations of the root...
A linear time invariant (LTI) system with the transfer function $$$G\left(s\righ...
Consider a stable system with transfer function $$$G\left(s\right)=\frac{s^p+b_1...
The Nyquist plot of the transfer function $$G(s) = {k \over {\left( {{s^2} + 2s ...
Which of the following can be the pole-zero configuration of a phase-lag control...
Which one of the following gives the simplified sum of products expression for t...
Consider the D-Latch shown in the figure, which is transparent when its clock in...
In the latch circuit shown, the NAND gates have non-zero, but unequal propagatio...
A 4-bit shift register circuit configured for right-shift operation is $${D_{in}...
A finite state machine (FSM) is implemented using the D flip-flops A and B and l...
The voltage of an electromagnetic wave propagating in a coaxial cable with unifo...
The expression for an electric field in free space is $$E = {E_0}\left( {\wideha...
A half wavelength dipole is kept in the x-y plane and oriented along $${45^ \cir...
Consider a wireless communication link between a transmitter and a receiver loca...
An optical fiber is kept along the$$\widehat Z$$ direction. The refractive indi...
A bar of Gallium Arsenide (GaAs) is doped with Silicon such that the Silicon ato...
The dependence of drift velocity of electrons on electric field in a semiconduct...
For a narrow base PNP BJT, the excess minority carrier concentration ($$\bigtria...
For the circuit shown, assume that the NMOS transistor is in saturation. Its thr...
The rank of the matrix $$M = \left[ {\matrix{ 5 &amp; {10} &amp; {10} \cr ...
Consider the $$5 \times 5$$ matrix $$A = \left[ {\matrix{ 1 &amp; 2 &amp; 3 &...
Let $$\,\,f\left( x \right) = {e^{x + {x^2}}}\,\,$$ for real $$x.$$ From among t...
A three dimensional region $$R$$ of finite volume is described by $$\,\,{x^2} + ...
If the vector function <br>$$\,\,\overrightarrow F = \widehat a{}_x\left( {3y ...
Let $$\,\,\,{\rm I} = \int_c {\left( {2z\,dx + 2y\,dy + 2x\,dz} \right)} \,\,\,...
Three fair cubical dice are thrown simultaneously. The probability that all thre...
Consider the following statements about the linear dependence of the real valued...
Which one of the following is the general solution of the first order differenti...
Starting with $$x=1,$$ the solution of the equation $$\,{x^3} + x = 1,\,\,$$ aft...
The clock frequency of an 8085 microprocessor is 5 MHz. If the time required to ...
The following five instructions were executed on an 8085 microprocessor. <br> MV...
In the circuit shown, the positive angular frequency $$\omega$$ (in radians per ...
In the circuit shown the voltage $${V_{IN}}\,\left( t \right)$$ is described by...
The figure shows an RLC circuit excited by the sinusoidal voltage $$100cos(3t)$$...
A periodic signal x(t) has a trigonometric Fourier series expansion $$$x\left(t\...
Let x(t) be a continuous time periodic signal with fundamental period T = 1 seco...
Two discrete-time signals x [n] and h [n] are both non-zero only for n = 0, 1, 2...
Let h[n] be the impulse response of a discrete time linear time invariant (LTI) ...
Consider the following statements for continuous-time linear time invariant (LTI...
A continuous time signal x(t) = $$4\cos (200\pi t)$$ + $$8\cos(400\pi t)$$, wher...
Consider a single input single output discrete-time system with $$h\left[ n \ri...

General Aptitude

40% of deaths on city roads may be attributed to drunken driving. The number of ...
In the summer, water consumption is known to decrease overall by 25%. A water Bo...
Some tables are shelves. Some shelves are chairs. All chairs are benches. Which ...
S, T, U, V, W, X, Y and Z are seated around a circular table. T's neighbors are ...
She has a sharp tongue and it can occasionally turn
There are 3 Indians and 3 Chinese in a group of 6 people. How many subgroups of ...
I ___________ made arrangements had I ___________informed earlier.
“If you are looking for a history of India, or for an account of the rise and fa...
A contour line joins locations having the same height above the mean sea level. ...
Trucks (10 m long) and cars (5 m long) go on a single lane bridge. There must be...

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