Electronics & Communication Gate Yearwise 

Electronics and Communication GATE 2024 Questions with Answer

Ques 53 GA

Sequence the following sentences (P, Q, R, S) in a coherent passage:
P: Shifu's student exclaimed, "Why do you run since the bull is an illusion?"
Q: Shifu said, "Surely my running away from the bull is also an illusion."
R: Shifu once proclaimed that all life is illusion.
S: One day, when a bull gave him chase, Shifu began running for his life.

A

SPRQ

B

SRPQ

C

RSPQ

D

RSQP


Ques 54 GA

The bar chart shows the data for the percentage of population falling into different categories based on Body Mass Index (BMI) in 2003 and 2023.

Based on the data provided, which one of the following options is INCORRECT?

A

The ratio of the percentage of population falling into overweight category to the percentage of population falling into normal category has increased in 20 years.

B

The ratio of the percentage of population falling into underweight category to the percentage of population falling into normal category has decreased in 20 years.

C

The ratio of the percentage of population falling into obese category to the percentage of population falling into normal category has decreased in 20 years.

D

The percentage of population falling into normal category has decreased in 20 years.


Ques 55 GA

Examples of mirror and water reflections are shown in the figures below:

An object appears as the following image after first reflecting in a mirror and then reflecting on water.
The original object is

A

B

C

D


Ques 56 Information Theory

A source transmits symbols from an alphabet of size 16. The value of maximum achievable entropy (in bits) is

4 is the correct answer.


Ques 57 Network Theory

In the circuit given below, the switch S was kept open for a sufficiently long time and is closed at time t=0.
The time constant (in seconds) of the circuit for t>0 is

1.5 is the correct answer.


Ques 58 Network Theory

For the two port network shown below, the value of the Y21 parameter (in Siemens) is

0.33 is the correct answer.


Ques 59 Network Theory

In the network shown below, maximum power is to be transferred to the load RL.

The value of RL (in Ω) is

4 is the correct answer.


Ques 60 Signal and Systems

A causal and stable LTI system with impulse response $h(t)$ produces an output $y(t)$ for an input signal $x(t)$.
A signal $x(0.5t)$ is applied to another causal and stable LTI system with impulse response $h(0.5t)$.
The resulting output is

A

2y(0.5t)

B

4y(0.5t)

C

0.25y(2t)

D

0.25y(0.25t)


Ques 61 Signal and Systems

For a causal discrete-time LTI system with transfer function $H(z)=\frac{2z^{2}+3}{(z+\frac{1}{3})(z-\frac{1}{3})}$ which of the following statements is/are true?

A

The system is stable.

B

The system is a minimum phase system.

C

The initial value of the impulse response is 2.

D

The final value of the impulse response is 0.


Ques 62 Signal and Systems

Consider two continuous time signals x(t) and y(t) as shown below.

If X(f) denotes the Fourier transform of x(t), then the Fourier transform of y(t) is

A

$-4X(4f) e^{-jπf}$

B

$-4X(4f) e^{-j4πf}$

C

$-\frac{1}{4} X(f/4) e^{-jπf}$

D

$-\frac{1}{4} X(f/4) e^{-j4πf}$


Ques 63 Signal and Systems

A continuous time signal $x(t) = 2 cos(8πt + π/3)$ is ideally sampled at a rate of 15 Hz.
The sampled signal $x_s(t)$ when passed through an LTI system with impulse response
h(t) = (\frac{sin 2πt}{πt}) cos(38πt - π/2)
the expression for $x_o(t)$ is

A

$15 sin(38πt + π/3)$

B

$15 sin(38πt - π/3)$

C

$15 cos(38πt - π/6)$

D

$15 cos(38πt + π/6)$


Ques 64 Signal and Systems

The radian frequency value(s) for which the discrete time sinusoidal signal $x[n] = A cos(Ωn + π/3)$ has a period of 40 is/are

A

0.15𝜋

B

0.225𝜋

C

0.3π

D

0.45π


Ques 65 Signal and Systems

The relationship between any N-length sequence x[n] and its corresponding N-point discrete Fourier transform X[k] is defined as X[k] = F{x[n]}.
Another sequence y[n] is formed as below: Y[n] = F{F{F{F{x[n]}}}}.
For the sequence x[n] = {1, 2, 1, 3}, the value of Y is

7 is the correct answer.


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