GATE ECE year:2025 PYQs & Answers — Page 2

Home
GATE
Electronics and Communication Engineering
Topics
year:2025

Questions 11–20 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 2 of 7

Consider the matrix

below:

For which of the following combinations of

and

, is the rank of

at least three?

(i)

and

(ii)

(iii)

and

(iv)

Your answerChoose one option.

Only (i), (iii), and (iv)

Only (iv)

Only (ii)

Only (i) and (iii)

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider the following series:

(i)

(ii)

(iii)

Choose the correct option.

Your answerChoose one option.

Only (ii) converges

Only (ii) and (iii) converge

Only (iii) converges

All three converge

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A pot contains two red balls and two blue balls. Two balls are drawn from this pot randomly without replacement.

What is the probability that the two balls drawn have different colours?

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider a frequency-modulated (FM) signal

where

and

are, respectively, the amplitude and frequency (in Hz) of the carrier waveform. The frequency

is in Hz, and assume that

The peak frequency deviation of the FM signal in Hz is ______.

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider an additive white Gaussian noise (AWGN) channel with bandwidth

and noise power spectral density

. Let

denote the average transmit power constraint. Which one of the following plots illustrates the dependence of the channel capacity

on the bandwidth

(keeping

and

fixed)?

Your answerChoose one option.

Diagram for Electronics and Communication Engineering question 15

Diagram for Electronics and Communication Engineering question 15 (figure 2)

Diagram for Electronics and Communication Engineering question 15 (figure 3)

Diagram for Electronics and Communication Engineering question 15 (figure 4)

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The Nyquist plot of a system is given in the figure below. Let

, and

be the positive frequencies at the points

, and

, respectively. Which one of the following statements is TRUE?

Diagram for Electronics and Communication Engineering question 16

Your answerChoose one option.

is the gain crossover frequency and

is the phase crossover frequency

is the gain crossover frequency and

is the phase crossover frequency

is the gain crossover frequency and

is the phase crossover frequency

is the gain crossover frequency and

is the phase crossover frequency

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider the discrete-time system below with input

and output

. In the figure,

and

denote the impulse responses of LTI Subsystems 1 and 2, respectively. Also,

is the unit impulse, and

. Assuming

, the overall system (denoted by the dashed box) is _____.

Diagram for Electronics and Communication Engineering question 17

Your answerChoose one option.

linear and time invariant

linear and time variant

nonlinear and time invariant

nonlinear and time variant

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider a continuous-time, real-valued signal

whose Fourier transform

exists. Which one of the following statements is always TRUE?

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider a part of an electrical network as shown below. Some node voltages, and the current flowing through the

resistor are as indicated. The voltage (in Volts) at node

is _____.

Diagram for Electronics and Communication Engineering question 19

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Let

, and

be the currents flowing through the capacitor, inductor, and resistor, respectively, in the circuit given below. The AC admittances are given in Siemens (S). Which one of the following is TRUE?

Diagram for Electronics and Communication Engineering question 20

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

GATE ECE year:2025 PYQs

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20