CUET PG PYQs for Signals and Systems with Solutions: Practice CUET PG Previous Year Questions

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Signals and Systems is an important topic in the Electronics Engineering section in CUET PG exam. Practising this topic will increase your score overall and make your conceptual grip on CUET PG exam stronger.

This article gives you a full set of CUET PG PYQs for Signals and Systems with explanations for effective preparation. Practice of CUET PG Electronics Engineering PYQs including Signals and Systems questions regularly will improve accuracy, speed, and confidence in the CUET PG 2026 exam.

CUET PG PYQs for Signals and Systems with Solutions

1.
The signal $x(t) = A\cos(\omega t + \phi)$ is:
- An energy signal
- A power signal
- Both energy and power signal
- Neither
View Solution
2.
Consider the statements given below: A. Discrete-time LTI system with impulse response $h[n] = \left(\frac{1}{2}\right)^n u[n-1]$ is causal B. Response $(-2)^n u[n]$ may or may not be stable C. Response $(-2)^n u[n]$ is unstable D. Response $(-2)^n u[-n-1]$ is unstable
- A, B and D only
- A and B only
- C and D only
- A and C only
View Solution
3.
A discrete-time system has an input-output relationship: $ y[n]=\begin{cases} x[n], & n \ge 1 \\ 0, & n=0 \\ x[n+1], & n \le -1 \end{cases} $. The given system may have the properties: A. Linearity, B. Time-invariance, C. Causality, D. Stability. Choose the correct properties.
- A and D only
- A and B only
- A, B and C only
- A, B, C, D
View Solution
4.
A periodic signal $x(t)$ of period $T_0$ is given by $ x(t) = \begin{cases} 1, & |t|<T_1 \\ 0, & T_1<|t|<\frac{T_0}{2} \end{cases} $. The dc component of $x(t)$ is
- $ \frac{T_1}{T_0} $
- $ \frac{T_1}{2T_0} $
- $ \frac{2T_1}{T_0} $
- $ \frac{T_0}{T_1} $
View Solution
5.
What is the Z-transform of a unit impulse function $\delta[n]$?
- $z$
- $\dfrac{1}{z}$
- $1$
- $\dfrac{1}{1-z^{-1}}$
View Solution
6.
Arrange the steps of sampling and processing a continuous-time signal:
- C, A, D, B
- C, A, B, D
- A, C, B, D
- A, C, D, B
View Solution
7.
Consider an LTI system with a system function $ H(z) = \frac{1}{1 - \frac{1}{4}z^{-1}} $. Its difference equation will be
- $ y[n] - \frac{1}{2}y[n-1] = x[n] $
- $ y[n] - \frac{1}{4}y[n+1] = x[n] $
- $ y[n] + \frac{1}{2}y[n-1] = x[n] $
- $ y[n] - \frac{1}{4}y[n-1] = x[n] $
View Solution
8.
The Nyquist sampling theorem states that for a signal with maximum frequency $f_m$, the sampling frequency must be:
- $f_s = f_m$
- $f_s \ge f_m$
- $f_s \le f_m$
- $f_s \ge 2f_m$
View Solution
9.
The convolution of $x(-t)$ with impulse function $\delta(-t - t_0)$ is equal to
- $ x(t+t_0) $
- $ x(t-t_0) $
- $ x(-t+t_0) $
- $ x(-t-t_0) $
View Solution
10.
A 1 kHz signal is flat-top sampled at the rate of 1800 samples/sec and the samples are applied to an ideal rectangular low pass filter with a cut-off frequency of 1100 Hz. Then the output of the filter contains:
- 800 Hz and 1000 Hz components.
- 800 Hz and 900 Hz components.
- 800 Hz, 900 Hz and 1000 Hz components.
- only 800 Hz component.
View Solution

11.
Signals and their Fourier Transforms are given in the table below. Match LIST-I with LIST-II and choose the correct answer.
LIST-I LIST-II
A. $ e^{-at}u(t), a>0 $ I. $ \pi[\delta(\omega - \omega_0) + \delta(\omega + \omega_0)] $
B. $ \cos \omega_0 t $ II. $ \frac{1}{j\omega + a} $
C. $ \sin \omega_0 t $ III. $ \frac{1}{(j\omega + a)^2} $
D. $ te^{-at}u(t), a>0 $ IV. $ -j\pi[\delta(\omega - \omega_0) - \delta(\omega + \omega_0)] $

LIST-I	LIST-II
A. \( e^{-at}u(t), a>0 \)	I. \( \pi[\delta(\omega - \omega_0) + \delta(\omega + \omega_0)] \)
B. \( \cos \omega_0 t \)	II. \( \frac{1}{j\omega + a} \)
C. \( \sin \omega_0 t \)	III. \( \frac{1}{(j\omega + a)^2} \)
D. \( te^{-at}u(t), a>0 \)	IV. \( -j\pi[\delta(\omega - \omega_0) - \delta(\omega + \omega_0)] \)

A-I, B-II, C-III, D-IV
A-II, B-I, C-IV, D-III
A-I, B-II, C-IV, D-III
A-III, B-IV, C-I, D-II

View Solution

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CUET PG PYQs for Signals and Systems with Solutions: Practice CUET PG Previous Year Questions

CUET PG PYQs for Signals and Systems with Solutions

1.
The signal $x(t) = A\cos(\omega t + \phi)$ is:

2.
Consider the statements given below: A. Discrete-time LTI system with impulse response $h[n] = \left(\frac{1}{2}\right)^n u[n-1]$ is causal B. Response $(-2)^n u[n]$ may or may not be stable C. Response $(-2)^n u[n]$ is unstable D. Response $(-2)^n u[-n-1]$ is unstable

3.
A discrete-time system has an input-output relationship: \( y[n]=\begin{cases} x[n], & n \ge 1 \\ 0, & n=0 \\ x[n+1], & n \le -1 \end{cases} \). The given system may have the properties: A. Linearity, B. Time-invariance, C. Causality, D. Stability. Choose the correct properties.

4.
A periodic signal \(x(t)\) of period \(T_0\) is given by \( x(t) = \begin{cases} 1, & |t|<T_1 \\ 0, & T_1<|t|<\frac{T_0}{2} \end{cases} \). The dc component of \(x(t)\) is

5.
What is the Z-transform of a unit impulse function $\delta[n]$?

6.
Arrange the steps of sampling and processing a continuous-time signal:

7.
Consider an LTI system with a system function \( H(z) = \frac{1}{1 - \frac{1}{4}z^{-1}} \). Its difference equation will be

8.
The Nyquist sampling theorem states that for a signal with maximum frequency $f_m$, the sampling frequency must be:

9.
The convolution of \(x(-t)\) with impulse function \(\delta(-t - t_0)\) is equal to

10.
A 1 kHz signal is flat-top sampled at the rate of 1800 samples/sec and the samples are applied to an ideal rectangular low pass filter with a cut-off frequency of 1100 Hz. Then the output of the filter contains:

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CUET PG PYQs for Signals and Systems with Solutions

1.The signal $x(t) = A\cos(\omega t + \phi)$ is:

2.Consider the statements given below: A. Discrete-time LTI system with impulse response $h[n] = \left(\frac{1}{2}\right)^n u[n-1]$ is causal B. Response $(-2)^n u[n]$ may or may not be stable C. Response $(-2)^n u[n]$ is unstable D. Response $(-2)^n u[-n-1]$ is unstable

3.A discrete-time system has an input-output relationship: \( y[n]=\begin{cases} x[n], & n \ge 1 \\ 0, & n=0 \\ x[n+1], & n \le -1 \end{cases} \). The given system may have the properties: A. Linearity, B. Time-invariance, C. Causality, D. Stability. Choose the correct properties.

4.A periodic signal \(x(t)\) of period \(T_0\) is given by \( x(t) = \begin{cases} 1, & |t|<T_1 \\ 0, & T_1<|t|<\frac{T_0}{2} \end{cases} \). The dc component of \(x(t)\) is

5.What is the Z-transform of a unit impulse function $\delta[n]$?

6.Arrange the steps of sampling and processing a continuous-time signal:

7.Consider an LTI system with a system function \( H(z) = \frac{1}{1 - \frac{1}{4}z^{-1}} \). Its difference equation will be

8.The Nyquist sampling theorem states that for a signal with maximum frequency $f_m$, the sampling frequency must be:

9.The convolution of \(x(-t)\) with impulse function \(\delta(-t - t_0)\) is equal to

10.A 1 kHz signal is flat-top sampled at the rate of 1800 samples/sec and the samples are applied to an ideal rectangular low pass filter with a cut-off frequency of 1100 Hz. Then the output of the filter contains:

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1.
The signal $x(t) = A\cos(\omega t + \phi)$ is:

2.
Consider the statements given below: A. Discrete-time LTI system with impulse response $h[n] = \left(\frac{1}{2}\right)^n u[n-1]$ is causal B. Response $(-2)^n u[n]$ may or may not be stable C. Response $(-2)^n u[n]$ is unstable D. Response $(-2)^n u[-n-1]$ is unstable

3.
A discrete-time system has an input-output relationship: \( y[n]=\begin{cases} x[n], & n \ge 1 \\ 0, & n=0 \\ x[n+1], & n \le -1 \end{cases} \). The given system may have the properties: A. Linearity, B. Time-invariance, C. Causality, D. Stability. Choose the correct properties.

4.
A periodic signal \(x(t)\) of period \(T_0\) is given by \( x(t) = \begin{cases} 1, & |t|<T_1 \\ 0, & T_1<|t|<\frac{T_0}{2} \end{cases} \). The dc component of \(x(t)\) is

5.
What is the Z-transform of a unit impulse function $\delta[n]$?

6.
Arrange the steps of sampling and processing a continuous-time signal:

7.
Consider an LTI system with a system function \( H(z) = \frac{1}{1 - \frac{1}{4}z^{-1}} \). Its difference equation will be

8.
The Nyquist sampling theorem states that for a signal with maximum frequency $f_m$, the sampling frequency must be:

9.
The convolution of \(x(-t)\) with impulse function \(\delta(-t - t_0)\) is equal to

10.
A 1 kHz signal is flat-top sampled at the rate of 1800 samples/sec and the samples are applied to an ideal rectangular low pass filter with a cut-off frequency of 1100 Hz. Then the output of the filter contains: