Electronics & Communication Gate Yearwise 

Electronics and Communication Gate 2024 Questions with Answer

Ques 53 GATE 2024

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


(C) is the correct answer.

Ques 54 GATE 2024

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.


(C) is the correct answer.

Ques 55 GATE 2024

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


(D) is the correct answer.

Ques 56 GATE 2024

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 GATE 2024

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 GATE 2024

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


(0.33) is the correct answer.

Ques 59 GATE 2024

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 GATE 2024

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)


(B) is the correct answer.

Ques 61 GATE 2024

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.


(C;D) is the correct answer.

Ques 62 GATE 2024

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

$-\frac{1}{4} X(f/4) e^{-j4πf}$


(D) is the correct answer.

Ques 63 GATE 2024

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

$15 cos(38πt + π/6)$


(B) is the correct answer.

Ques 64 GATE 2024

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


(A;B) is the correct answer.

Ques 65 GATE 2024

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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