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GATE ECE 2018

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

The figure below shows the Bode magnitude and phase plots of a stable transfer f...
The Nyquist stability criterion and the Routh criterion both are powerful analys...
Consider p(s) = s<sup>3</sup> + $${a_2}$$s<sup>2</sup> + $${a_1}$$s + $${a_0}$$ ...
For a unity feedback control system with the forward path transfer function <br>...
The state equation and the output equation of a control system are given below: ...
A function F(A, B, C) defined by three Boolean variables A, B and C when express...
A four-variable Boolean function is realized using 4 $$ \times $$ 1 multiplexers...
The logic gates shown in the digital circuit below use strong pull-down nMOS tra...
A traffic signal cycles from GREEN to YELLOW, YELLOW to RED and RED to GREEN. In...
In the circuit shown below, a positive edge-triggered D Flip-Flop is used for sa...
A 2 $$ \times $$ 2 ROM array is built with the help of diodes as shown in the ci...
Consider matrix $$A = \left[ {\matrix{ k &amp; {2k} \cr {{k^2} - k} &amp...
Let <b>M</b> be a real 4 $$ \times $$ 4 matrix. Consider the following statement...
The position of a particle y(t) is described by the differential equation : <br>...
Let r = x<sup>2</sup> + y - z and z<sup>3</sup> - xy + yz + y<sup>3</sup> = 1. A...
A curve passes through the point ($$x$$ = 1, $$y$$ = 0) and satisfies the differ...
Let $$f\left( {x,y} \right) = {{a{x^2} + b{y^2}} \over {xy}}$$, where $$a$$ and ...
The contour C given below is on the complex plane $$z = x + jy$$, where $$j = \s...
Taylor series expansion of $$f\left( x \right) = \int\limits_0^x {{e^{ - \left( ...
Let X<sub>1</sub> , X<sub>2</sub> , X<sub>3</sub> and X<sub>4</sub> be independe...
Consider the network shown below with R<sub>1</sub> = 1 $$\Omega $$, R<sub>2</su...
The ABCD matrix for a two-port network is defined by : <br><br>$$\left[ {\matrix...
For the circuit given in the figure, the magnitude of the loop current (in amper...
For the circuit given in the figure, the voltage V<sub>C</sub> (in volts) across...
Let the input be u and the output be y of a system, and the other parameters are...
Let 𝑥(𝑡) be a periodic function with period 𝑇 = 10. The Fourier series coeffi...
Let X[k] = k + 1, 0 ≤ k ≤ 7 be 8-point DFT of a sequence x[n], <br><br>where X[k...
A discrete time all-pass system has two of its poles at 0.25$$\angle 0^\circ $$ ...

General Aptitude

If the number 715 ■ 423 is divisible by 3 (■ denotes the missing digit in the th...
A 1.5 m tall person is standing at a distance of 3 m from a lamp post. The light...
"Even though there is a vast scope for its __________, tourism has remained a/an...
What is the value of $$1 + {1 \over 4} + {1 \over {16}} + {1 \over {64}} + {1 \o...
"By giving him the last __________ of the cake, you will ensure lasting ________...
A coastal region with unparalleled beauty is home to many species of animals. It...
Two alloys A and B contain gold and copper in the ratios of 2 : 3 and 3 : 7 by m...
The Cricket Board has long recognized John's potential as a leader of the team. ...
Leila aspires to buy a car worth Rs. 10,00,000 after 5 years. What is the minimu...
A cab was involved in a hit and run accident at night. You are given the followi...

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