# Properties of Systems – 2 MCQ’s

This set of Signals & Systems Multiple Choice Questions & Answers (MCQs) focuses on “Properties of Systems – 2″.

1. Which of the following systems is linear?
a) y(t) = sin(x(t))
b) y(t) = log(x(t))
c) y(t) = cos(x(t))
d) y(t) = dx(t)/dt

2. Which of the following systems is stable?
a) y(t) = log(x(t))
b) y(t) = exp(x(t))
c) y(t) = sin(x(t))
d) y(t) = tx(t) + 1

3. What is the following type of system called? y[n] = x[n] + y[n-1].
a) Subtractor system
c) Product System
d) Divisor System

4. Which of the following systems is time invariant?
a) y(t) = x(2t) + x(t)
b) y(t) = x(t) + x(1-t)
c) y(t) = -x(t) + x(1-t)
d) y(t) = x(t) + x(t-1)

5. State whether the differentiator system is a stable system or not.
a) True
b) False

6. For what value of k, will the following system be time invariant?
y(t) = x(t) + x(kt) – x(2t) + x(t-1)
a) 1
b) 2
c) 3
d) 2.5

7. State whether the differentiator system is causal or not.
a) True
b) False

8. Which of the following systems is memoryless?
a) y(t) = x(2t) + x(t)
b) y(t) = x(t) + 2x(t)
c) y(t) = -x(t) + x(1-t)
d) y(t) = x(t) + 2x(t+2)

9. State if the following system is periodic or not. y(t) = sin(sqrt(2)*x(t))
a) No
b) Yes

10. State whether the following system is periodic or not. y(t) = log(sin(x(t)).
a) Yes
b) No

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