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Recent questions tagged gate2018-ec

20 20 votes
3 answers 3 answers
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GATE ECE 2018 | GA | Question: 9
A cab was involved in a hit and run accident at night. You are given the following data about the cabs in the city and the accident.85% of cabs in the city are green and ...
10 10 votes
6 6 answers
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GATE ECE 2018 | GA | Question: 10
A coastal region with unparalleled beauty is home to many species of animals. It is dotted with coral reefs and unspoilt white sandy beaches. It has remained inaccessible...
5 5 votes
2 answers 2 answers
754
754 views
GATE ECE 2018 | GA | Question: 8
The Cricket Board has long recognized John's potential as a leader of the team. However, his on-field temper has always been a matter of concern for them since his junior...
11 11 votes
3 answers 3 answers
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GATE ECE 2018 | GA | Question: 7
Two alloys $A$ and $B$ contain gold and copper in the ratios of $2:3$ and $3: 7$ by mass, respectively. Equal masses of alloys $A$ and $B$ are melted to make an alloy $C....
7 7 votes
3 answers 3 answers
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GATE ECE 2018 | GA | Question: 6
Leila aspires to buy a car worth Rs.$10,00,000$ after $5$ years. What is the minimum amount in Rupees that she should deposit now in a bank which offers $10\%$ annual ra...
8 8 votes
2 answers 2 answers
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805 views
GATE ECE 2018 | GA | Question: 5
A $1.5$ m tall person is standing at a distance of $3$ m from a lamp post. The light from the lamp at the top of the post casts her shadow. The length of the shadow is tw...
5 5 votes
4 answers 4 answers
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GATE ECE 2018 | GA | Question: 2
“Even though there is a vast scope for its _______, tourism has remained a/an ________ area.”The word that best fill the blanks in the above sentence are improvement, neg...
7 7 votes
4 answers 4 answers
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GATE ECE 2018 | GA | Question: 1
“By giving him the last _______ of the cake, you will ensure lasting _______ in our house today.”The words that best fill the blanks in the above sentence arepeas, piecep...
7 7 votes
5 answers 5 answers
998
998 views
GATE ECE 2018 | GA | Question: 4
What is the value of $1+\frac{1}{4}+\frac{1}{16}+\frac{1}{256}+ \cdots?$$2$$\frac{7}{4}$$\frac{3}{2}$$\frac{4}{3}$
9 9 votes
5 answers 5 answers
950
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GATE ECE 2018 | GA | Question: 3
If the number $715\blacksquare423$ is divisible by $3(\blacksquare$ denotes the missing digit in the thousandths place$),$ then the smallest whole number in the place of...
0 0 votes
0 0 answers
465
465 views
GATE ECE 2018 | Question: 55
Let $X\left[ k \right ] = k + 1,0\leq k\leq 7$ be $8$-point $\:\text{DFT}\:$ of a sequence $x[n]$.where $X\left [ k \right ]=\sum_{n=0}^{N-1}x \left [ n \right ]e^{-j2\pi...
0 0 votes
0 0 answers
908
908 views
GATE ECE 2018 | Question: 46
In the circuit shown below, a positive edge-triggered $D$ Flip-Flop is used for sampling input data $D_{in}$ using clock $CK$. The XOR gate output $3.3$ volts for logic H...
0 0 votes
0 0 answers
840
840 views
GATE ECE 2018 | Question: 47
The logic gates shown in the digital circuit below use strong pull-down $\text{nMOS}$ transistors for LOW logic level at the outputs. When the pull-downs are off, high-va...
0 0 votes
0 0 answers
452
452 views
GATE ECE 2018 | Question: 52
Let $r=x^{2}+y-z$ and $z^{3}-xy+yz+y^{3}=1.$ Assume that $x$ and $y$ are independent variables. At $\left( x,y,z \right)=\left ( 2,-1,1 \right ),$ the value (correct to t...
0 0 votes
0 0 answers
762
762 views
GATE ECE 2018 | Question: 51
The contour $C$ given below is on the complex plane $z=x+j y,$ where $j=\sqrt{-1}.$ The value of the integral $\disp...
0 0 votes
0 0 answers
442
442 views
GATE ECE 2018 | Question: 50
The position of a particle $y\left ( t \right )$ is described by the differential equation:$$\frac{d^{2}y}{dt^{2}}=-\frac{dy}{dt}-\frac{5y}{4}.$$The initial conditions ar...
0 0 votes
1 1 answer
633
633 views
GATE ECE 2018 | Question: 48
The cutoff frequency of $TE_{01}$ mode of an air filled rectangular waveguide having inner dimensions $a\:\text{cm} \: \times \: b\: \text{cm}\:\left ( a b \right )$ is t...
0 0 votes
0 0 answers
600
600 views
GATE ECE 2018 | Question: 49
A uniform plane wave traveling in free space and having the electric field$$\overrightarrow{E} =\left ( \sqrt{2}\:\hat{a}_{x} -\hat{a}_{z}\right )cos\left [ 6\sqrt{3}\: \...
0 0 votes
0 0 answers
455
455 views
GATE ECE 2018 | Question: 53
Consider the network shown below with $R_{1}=1\:\Omega,R_{2}=2\:\Omega$ and $R_{3}=3\:\Omega.$ The network is connected to a constant voltage source of $11\:V$. ...
0 0 votes
0 0 answers
552
552 views
GATE ECE 2018 | Question: 54
A band limited low-pass signal $x(t)$ of bandwidth $5\:kHz$ is sampled at a sampling rate $f_{s}$.The signal $x(t)$ is reconstructed using the reconstruction filter $H(f)...
0 0 votes
0 0 answers
525
525 views
GATE ECE 2018 | Question: 40
A random variable $X$ takes values $-0.5$ and $0.5$ with probabilities $\dfrac{1}{4}$ and $\dfrac{3}{4}$, respectively. The noisy observation of $X\:\text{is}\:Y=X+Z,$ wh...
0 0 votes
1 1 answer
853
853 views
GATE ECE 2018 | Question: 38
An op-amp based circuit is implemented as shown below. In the above circuit, assume the op-amp to be ideal. The voltage (in volt...
0 0 votes
0 0 answers
538
538 views
GATE ECE 2018 | Question: 39
The input $4\sin c(2t)$ is fed to a Hilbert transformer to obtain $y( t),$ as shown in the figure below: Here $\sin c \left...
0 0 votes
0 0 answers
483
483 views
GATE ECE 2018 | Question: 43
In the circuit shown below, the $(W/L)$ value for $M_{2}$ is twice that for $M_{1}$. The two $\text{nMOS}$ transistors are otherwise identical. The threshold voltage $V_{...
0 0 votes
0 0 answers
482
482 views
GATE ECE 2018 | Question: 44
A solar cell of area $1.0\:cm^{2},$ operating at $1.0$ sun intensity, has a short circuit current of $20\: mA$, and an open circuit voltage of $0.65\: V$. Assuming room t...
0 0 votes
1 1 answer
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GATE ECE 2018 | Question: 42
The figure below shows the Bode magnitude and phase plots of a stable transfer function $G\left ( s \right )=\dfrac{n_{0}}{s^{3}+d_{2}s^{2}+d_{1}s+d_{0}}.$Consider the ne...
0 0 votes
0 0 answers
504
504 views
GATE ECE 2018 | Question: 41
For a unity feedback control system with the forward path transfer function$$G\left ( s \right )=\dfrac{K}{s\left ( s+2 \right )}$$The peak resonant magnitude $M_{r}$ of ...
0 0 votes
0 0 answers
710
710 views
GATE ECE 2018 | Question: 37
A $dc$ current of $26\:\mu A$ flows through the circuit shown. The diode in the circuit is forward biased and it has an ideality factor of one. At the quiescent point, th...
0 0 votes
0 0 answers
668
668 views
GATE ECE 2018 | Question: 45
A junction is made between $p^{-Si}$ with doping density $N_{A1}=10^{15}cm^{-3}$ and $p^{Si}$ with doping density $N_{A2}=10^{17}cm^{-3}.$ Given: Boltzmann constant $k=1....
0 0 votes
0 0 answers
456
456 views
GATE ECE 2018 | Question: 28
Consider a white Gaussian noise process $\text{N(t)}$ with two-sided power spectral density $S_{N}\left ( f \right )=0.5\:W/Hz$ as input to a filter with impulse response...
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